gideion jilid 1 dasar perencanaan beton bertulang_2

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EUE,- MEE Berdasarkan SK o w.G C Gide

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Page 1: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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Page 6: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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Page 12: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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Page 14: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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Page 15: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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Page 16: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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Page 18: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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IBq BIIq'uBqnluua{ pB)tePuau rnulnRsuuedrulu uqnpoq eltqs{EuFt

uep snlnd urqeq qlsgurIul lBBs uped.unrueN .r"saq quqruruaq uotagfqa!

'd uol"q dnlnued u,p rslol t66uR 'p lprele ;66ug erepe ueEunqng gz.l ,EquBg

9tdtqnyeg uotdg ueeuE{nared fisep-Jese1

Page 28: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'el6uer ;6opue ueEuep lBnsas Ouelnpeq uoleq loleg get raqureg

'apuer rnqn4s uarnsns ?el ,equreg

{li

rll

1i

ryel +--vgrpT

uapl -)

IPBJ. +_IUBI

\ue,ler

-->

rl

I

sslB u?lteq ueEwlnl BIIg )tpp-)tp$_tupuAp lg1ar )tuplr tuer( uoleg .lu?qaqp BuarBI Inq@ tue'( IIBIqar-IrB{qer ugtuaP Bu?s tryr( rror"q uzEuelnued ueplnfuiu'ew qgz.tr'qu'g'EupFu uetuelnl {$uequeul tuu,( ra, q treryolaqql

u,(uEunfn-Eun[n q',rsq uurteq B,,ntn uuEuulnl ,pra *p aueinuaq ,;rrq {opq uqpequra:*:.'-:H?-"':::::'!.14i1-Trvrtagg""trp-g,n"r,lrroi'ii-;:ii4 EpBd teqllrel ludT)'uc)IqA{as Fqr4lteilrtemBq@ tuqgq epud 4ret uuBp ssle uerEequB)Ietwllngtllruau rrEryrgnl ugqeq lgqpp r$ual uauro@{${el ql f ---r-1 '-1:-r- --.'Evr sswvu Efllrlrry rrr{ufd{rp lvLtvp {lujlel B)[Ju8)IetlI IJOaI IJE(I

.tunnrn6uer ot8uer rnDluls rrr,r,ur g uq1fesw rz.i r,qrrr'g EpBd .!spl net, qEuar mDm-Es truf., q..,a,ut,r -c ucluesrp ,Z-I JBqurBg EpBd .!spl ne1u altuer mDfnusqunqas uetuap turyensasp 1edep Euelnpeq uoFg {opq qenqes ,urdr, .pq edelaqrq *fq

(,g6ogeuBlrarnrlen,) erl6uer ;6o1euy .gg

p (6'0 eEEurq S.0) .?

-

,= V,

uetuap tun1F11p redep ue8uepr sBnl B:[stu 'Inllsle)up uopg tued.uBuad rrErDIn "ues

uleq ntnru uBp trg)lnluallp q

LJ uvqnqqxr*l

rir

ll

'l tl

Page 29: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

;y:j,r:9:I:6 ue6:l ueq Bt ur n [u ed Br Bcos q epr ad I p

Due uellnset ue6ue6e1 rsnqplsle qgz.! requeg

"p+"p

to+"p

"o-"p

no

(q)

-l

lo

d u,p r,r/ u'rrnq_r ,, 'ue,( ##:il#:Ii3il:1HTff :#,:1,u,Ttr#i,3"** '92'I r"gur'g uped uDlpaqlp reIuII sJlsBIa u'q'q nl,ns uu8uetal rsnqrrlsrp BIod .$tq&!nn,

qlqq rpefuau puelur uuEuutq lsnqutsrP u>luru r3r (1ers1e e[e8) Iurruou ehet etn(Eua ,f rruual ue.,ou u,qeq e{uuq {upp uBrlBueu s,',eq dd"urq ,dri-Er;J;;";;,8

ruolox -E i

ufeq Buqeq uutuap uB^rBIlp sruBrr {!rn, ueauuaal .uolaq *,;ti?r:'.Hr;,:i J|,[t;ffi uup e13uer rnDlruls s.rqus uurensesal BpB ler.lJlrq .urulup ufeg_imA ue3uap usllqreg

's uur8us upud snurru ueauap r,nses rur lrq ,o

G,d"tg?,r;XTi- flfL "i,,J*-*1rffi nlrad tue'( rnluq uetuotr B)pn 'p 6'9 raiuFl p g"'d,{ntrp, r{B,rrBq Ip {lrsr ueauelm ,t # sae uefuq Ip u,,Iq qsre,p tnsnd pep ,re.rel'Iul i,irtnurq uoleg {or,q ?npor rtug z1i,m mrry.qs sp,d IBIpTT ,Iry tuqBq pEuqas piurur"q t qsuas ,r{#; ,rrz.lrequeg upc (uqat) s{Eua puoturp tustuq-tu"pq uzEuap rrnr* u,,["lar-us{srar BrEluB (ret*, )rppp) rFtr -{ppeq tuu,( uopq uurtug qoluq tunfn-Eunfn uped EurlEues n p plfue,r u{rEuad lrary-@ unur,u 'tuFFu ueEuulnl tudupral wp rsa'r r,qu,g upud auepuaq uolee ropg

Y -W'l equrcc ,**lo, rr,l'nses.,l Bps ,,[,ru ,({Hel) ultuar puotup tuqeq

"ffi dutt,elp tuFFu uetuulnl uolsuepas '({Fq) Brtt,rer q,,ilBq tueteq reteqes rIB,*Bq o,dh uuEuqnl u,lpnuar :s{tua ,nqnns I*p (uerar tuqeq) sau tuquq JeEuqas uB:trEpq,i

ueu,ourlu'qoqlptffiEffi

duqnyq uopg ueeu@uared resep-rese78r

Page 30: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'8rrruquBD spBd uurrfesrp uullruep JnD[us 'qoluoc reSeqaS .0

= ^3

i6 = p3 l0 = Iu3rnryaq ruteqx soltuFrq .1ou uutuap utues sruuq rnl{ruls upud ztraleqauui IBIrral uup Isluoslroqefu?-efe? q?Funf ,uaruoru qepunf :ntpf (rnqruts uurEuq-uultuq) uauodtuol- ptgtPxlBpBd uuEueqrureser uuBr,ue$ad uetergr$ad uEn n:p1raq u,plIu,ep rnDlnqs {$un

'{Iq4 qrus)larultunuaru qgpnu B.rBJas uu{nluelrp tedep .nluaual sllsls, Jnllrqs nluns {nlun Jnlual ueruouuraltelpulBJtBlQ'?paqraq tuef uutuntrqred sruaf enp dnlecuau 1ul terl B,$qeq uupinfirnuaur.tueplraq uolee lruun usgrrecuared uetunlSpad, Buelu4lsrrlal qiqil a*f ,rri*i;adE-g

nluaual lepll sllets uep nluaual sllels .r!

EunrrqtuauBl,luesularuadBdusrrr.rn,rfrl::fJ#rT#:r'#f,rffi ['fr;ffiT,"rt ruepEuaut tuef Euedtuuuad nluns srsrpueEueu {ruun BuzqJepes sn1llru nlBns B,hq?q efunluaselef 'rLZ'l wp qLZ'l ruqureg eped uullreqlp uuqnluruel tueque rp tuelnp3q uolagruolo{ nlens upud rpeFat tedup Euu{ uuEueEar uep uetueEq Isnqlrlsrp sruaf p-arqrrg

'.Brugs uFa>taq ln{l {Bpp, nll uolaq tueduguadgep uerEeqas B^u{Bq luereq_lu1 'tuedtueuad Hpl rda eped tnqrup ue1lnsar +ra ueEuetag:[Bur 'qgZ'I rBqtuBC uped dp IrBp rusaq qlqel ^, ,Ug ?lrsl ue8uet4 *,{rur,r, ndureurTBpp rldureq uolag 'sslB Ip rr?{BrBJrqlp qslel euBurrBseqas .(qgz.I rBquBg vped qe,trequur8ury) Fqurp Euer(-.)ilrgl ueEueEal spg {Epp undeueur tuedrrguad uBISA Ip e)pt'Il .r{rntual uetuoru suare{ Ko urnrurs{Bru {psl ueEue8et epeduep JBsaq qlqel nplas ug{lnqunrpETI dp uo1a1 ueEueEq uEEurq ufuresaq ueqruapes d/ lsrurou elui ri,q un*1,,1 .{l*tuetugtal edruaq !{H ldar ep:d prot uetuuta stgur '(ue)la uu8ueEq) tp upeapep *rq qiq.t({grgr ueEueEa) ^o rllg '}'ro -d,g = o Euedueuad ug-rda uerteq'eped uup^p *.pl prIBIBps qgz'l rBquEC eped Suudueuad ugusl 1da u6rtuq upud tqol uetueta;

r{ulBpe 1,1 ueEuap,hlN

= o,D qBI?pB lurruou ufet uellnquplp tuef uutuuEal

'leut ou e{e6 uepJnluel eIe6 ue6uep Ouedueued nlens {nlun ue6ue6ar uep ue6uebat Fnq!.rtsrp ule.roelq /z.L requr?g

-l_H"v

= ^o = ^,o r{BIBpp rnluar ueruour ,rl#,1,r? tHf'Jr;:,STqq

d

a)I

tpl

.V=:'+-q

Ir

Itrf

,l

tlr

IIC

tt"

uerynqwu€d 6lf,

Page 31: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

uelE,q BpBd n,lBr ',Eunqtuac uBIt_Bq eped *r*o.:lp_ etnf uetue*l Iq _;r:#ffi"- ?,rBrpapes,,".,,ir"kf{,ffl:;'Jil;ii,r,{ffi.a*mru,r:r.mrpud ue>',qenp sruB-rr 1u1 ,ur-q,,pes 10pq uenduu {n,un Bur,tn uetuqn; .{opq

,turry wfeq uped puf:ar 1pr4 uutuea" "p {gr,q ,runoT:: uefuq epea lpupl,,,Iar *b*a.1

',,eqeg,o tuuf ror'q rnruar qE"rB u,rprri;r,! *r1j1*",,-oarp sped urer ,tunltuq spe4 BpuBJ '@og't nqurog) tuelueq qetua-qeiurt ,pnd *n,rio1r* ua,,oru rntua :tloqemd Bamt nlBns earuefinluer-ueuou ruereurn r"rrli:6|; Jorrq ?nues {rquo '(r neE q 'D6z'r ruqurBg epra Sujari ,r.|u.q.ilL^ rotsq tuedu*d {nluaq epud Eunluetra, ,f"pp lrl *p ,1.!l rtBIBpB runur$pur rruuq geuout rpseq .r r,saqas 'er

rtuqrel uBqaq reanpuau "rrd l tilt*i *errp oir,ir+r, Lna.,,q ropq mon

'tuedru'ued {quaq qalo ,qrurtu.e,p'1rpp-rn-1;r;"ru lsnq}nslp .,oI mq,.,,s BpEd

.llolEg Inlueq F6eqreg 6z.t rpqu,Eg

'nlusUel sllqs rnfiruls gf l requeg

0t

EuBr#apos uendurnl ,o,,g Q)

?rtt-loueg /

(p)

fiuerryq wtog ueeu@ueed r*epreseo

(el

OZ

Page 32: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

uBI'IBqrud lruele8uetu L{Blalas u,(u1n1uaq uery?que83uau ue8uap ue)lnlu3lrp tedep r^,#ffi: nluau4 )tBpll sllsls rnDlruls r{Bnqes tuulEp ueEuelnl rBlat .uurlnuap undnepl6 .$uauatspsls rnDlruls epeduep relns qlqel rur nlueual {Bpll spsls JnDInqs srsrleuetu.--inrun

ad n,uns ,IfffilT u{uueuoduor u,rn{n zuas IuI JnDIIrrs {nluaq u,qBqruad ',nruaua, )pptt slr,ts rrxpltts,re8eqas w{Bl?)llp 'uellnqestp wlel Euuf uriurq.rese{ usgruesred ,ip *r1runEiua,,uu8uap ufueq ue>lnluallp tudep {BpIl Jrrfual uauour ueEuep Jnlln4s 'nluns

BpBd'srueuetu uendunl selu uerteq epud uep tuquaq tuufuedas

rIBArBq uur8eq eped nlre[,',?unt1ac sltot uofioq, uped uallnfunlrp .rn1ua1 uaFro1II IBqHBryra ueEuetal uequuau {nlun uu8uulnl {qet e8nf lurs tq .Z€.t J?qurBC *tu.p rBnsas?ur lteqrel ueqeq lreqlp EIIq .rgZ.I rBqr.uBD rEuq rnlual uetuotu urerEerp ry1urg

ue'uelnr )*{ .t.t = *w ua",o", r,seq ill-J 'rr';:::};::i;T^l$li'}H;"T#:tesndral uuqeq ledepuaul Suef Jar\atpunt {oleq Intun ulnd uegruaq1 .Iotgq sele uerEeq rpttlpr ',Sunqutac sltoE uot?oq, epud unplqallp ue>p uutuutu pls to ."tt.I r?qurug upeduB)[uaqtP ltvlet feq:a1 ueqeq Sumlnpuatu 8uu,( Je^alque>l )toleq rnluel ua1gou 11;arsegq

-

'elu.rnlue; ueuroru ueOuap Je^alrtue:l lolpg ]E.l lequBC

I

,

'Jnluq ueuou uter6ep ue6uep eueqlapos uendunl )pleg Og.l ,BqurBg

tBl ot

JZ.rctwr.Fpt*l

Page 33: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

l*ru lur rBH .nrueua rnruer ,r*:* TornXoJ;o.l.d1,;Ef Xt:rffT:rffi tuedur'ued nl?ns uqqnlnqp tue{ yr^trir* nr',qnr*q epd tunrFl eu{ tedec .,.,ua.ruetuelnl wp uemln re.(undurau tuer( tuulnpaq uotag Buedur,ued d;"; ,r:;;;il;r" tuef rnlual ueluo., rusaq u,)tquelp redep 'rui qneras *lprqtp a"ir ls,rruoJur uut.eo

ueeuBcuaJad qoluoc .sl

tuef requrut uped ue>qnfunlrp Euu( Fedas pg uauoduo{ {nlun rnlual ,r#fffi s/tlquq uullndurslp tedep 'uo1o>1 uep loluq ueEwdturfuad' Feq lr{pSua. *oa"; *, uoplnfunlrp Bu,rur,tuqes )tqueq u*pq*J pueptuatu ,,,IB lur ,1tro 5[or'q uuEuep ng uuEunqnqreq uolo)t-Totor B^\qBq detEue8uaur uz3uaq .pluoslroq upqaq rdupuaur tue( nrueuq )ppp spsls oltuur rnuurs nrsns {nluaq urq*q-rd u"rqnlunue.u .gg.I

"q*rc'nluaual r,pll sllsls alouer rnunrls rnlun Jnluor ueuou, ueroep ggr rBqurBc

uaurour urelEqglrBqeqPqqales ts)louep Inlueg

ueloerp suos sl', ;6eq.rag u.qeq ueOuep srueuau, uendurng eped nlualrar spels ,",3['#Yr1ffi

eeqnyeg @tq taeudnated JeseHesega

Page 34: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

' (s>t otgr) Np['I 'gL = (o'l'i)

- (/i)

gt =T= ItII0'?=l

(tuE>t glgt) ruN{ I.gL = l.ii = "Npep tunlrqlp "J

(,ur/srt oosz) ,tu/Npt 0'92 =,# = + =

ont

u0'S= t(urtl gIgD r.uN)t l,gL = "N

Tlnal = "w pep 8uru1{!p ",rr (q)

(urtl 0I8[) urNI I'gL = uruN g0I . l,gL= S0, . A??,. ng =

nN

(,rc A'0r) turu S0, = 0S? . 6.0 = z

Gtuc/SD edhl 0rZ = ^!

p 6,0.^{.,v = z .*r ,r,,I?#,,1kffi,f&TnJi, (e)

:uuEun1rq.ra4

(c)

'Vl rloluoC Inlun );o;eq Euedureue6 ,9.! requeg

'tu4uaqqutual IIul uped "c tunurrs{BrutesndJq ueqeq Jesaq uelnlual .tu

g'p tuquaq refund-ry )tolgq BIrg (c)4r luntllr$[Bru

eler lEuqra u?qaq ue{nluel .ul 0.Stueluaq re{undtuau

" {olgq BII8 (q)

,[ ue{$ual (e)

:e.(ue1gg

3!nrlqe{lo

vl qoruqJ

aEff.pptQl

h, '(.uc ?0'8 nsle ,ruu 7gg) y a0 p pEtunl uetuelnpagl- .. ,. , ', , ,.,i ,,,1 ,l, , tzri irtl Grrc6t wrdeiwTvz= y

-r /ii ? J ,€.tJsgrrre0?6.0= z'(ruc Sr) ruru 0S? = p (r'.c 0g x SZ) zruru 0OS x OSZ = q xq uBrruln uetuap iopq ,fr"m

_ i.^- "]i )

t.^

8Z;l J )

Page 35: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

(ur8:t OtSf) ururN cgl

'gl tloluoC eped pleq 6uedrleue6,gg.t, reqrueg

' VZ ttoluo3.eped re^at[uYll lelod gg.l ,Bqueg

(zrucF{ OArd edyt WZ = yI'81, = utN{ ['gl, = z0

.SO ,SZ.I = ,l..,ttl =

.n

p 6'0'^! .'v = z .:[.,v = -H

pep tunllqlp'y:uuEunlrura4

(,ut6{ 00S) ,ru/l$t 0'S = 1rerya eped pror u?qag .(3tuc75q000t) ?dh[ 0O? = I:(** 00gI) ur 0g.l = 1rr^rfruq Eueiuealgg.l reqtueg tp 6.0 = -- l(tuc a'11) ruu sII = p i(wc rI) tutrl 0?I = { t,lot pqq ue8uep r"nrtrr,rr{ rc1ad qsnqes

3!nqB|a{!q

ve qotuoc

(ztuc p6'r) rtutu ?0g ='9I d$ p uufluap redecrp tedep uu{qnlnqlp tue[.ue8ue1n1

(rurc to.8) zw ?08 = t1?-

Y. = I! - ,,,

. ve,z___vwo_

"gi.J[J=T=y (tuc S'0?) urru S0, = 05?.6.0 = p 6,0 = z

t.

't 1\)

,-r r'l .,,^ !.',i/ q

''y urlq lnqp tue,( ue8uulnl T1eIEun1IH

:e.(uqgq

:dw arg= !:1w18>1oor.rc#/rg' ff?,'.. ,r{ EIEJ rUeqral uBqag .ur 0.S =, Euquag

'(Se.t reqtueg) ip 6,0 = i :1,uc Sr) uru0g? = P

,.(lurc 0s x sz) .unu 00s x 0gz

= tl x { uemln uutuap {opq q?nFs

:lnqqe:IKl

'Ell qoyq

_,,.lrla lZdtryUreg uotq wweatn ed )ssE?res*O

Page 36: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'(31 Ofl) 1rpl 1., = g.I/?.g = liru = .J

(tu8l 0?g) ruNt r.g = ruruN egl .r.g = rO[ .009 : tOZ= ,;(tuc ?'0I) ruru tgl = SII . 6.0 = p 6,0=_ l

(zIucFI 000?) Bdh[ 0O? = 'iP 6'0 '^! ''v =

nw"* I..T :'3)'H Jf"i;L

:ue8unlgq:a4

'g Z r{oluog eped.raaqrye:l lqad Zgl ,equreg

ooz-e od

'i unurl$fBur relru unlnlual:a,(ue1Jq

'(uql'qerp !4pues telad r,req) "c tesndral u,geq tudupratuled tunfn BpBd 'Gw,cl?1-gggr).?dh[ 00? = ]:1.u,c I0.Z) r** 1gg = 0SZ _ g hp'*a*pIreqlp rur ra^elpuu11 .(rutu

00gI) ru 0g.I _, ra^ap1ue1 tuefued,.LtI rBqurBC ip 6,9=z i(uc a'11) tutu gtl = p l(urc tI) tu,r 0?I = { tsror leQel ueturpirnllpuul relad qsnqas

:!nqqe{!q

ge qoruoc

ua1r{nlnqrp tue,( uu8uelnl

,0I.00t z.^! ,

noiTf =T= v

(tuc r'0I) ruur ,,0I = SII - 6.0 = p6!0 = z

G*c6:t 00Or) udl^t 0O? = tI

(tutt 619) urup eol.I'g = ruNr ['g = z0g 'to-.s.f = 7l.",xl = 'nP6'0'.*!.'v=2.t.'v='n

pep tunlJqlp 'y' :uetunilqred

'y uurynlnqrp tue,( uutuulnl rleltunllH

:r,{ueqq

I

(ztuc 1g'a) srutu l0Z = OSZ-1 "0

(.ruc S6'I) zw 56I =

"....-..:.:';.:.:.:':.:.:.:.:,:.:::

1;'1:.:.:-.'.'.

9ZueqryepDslI

Page 37: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

,r-,#0."'r'rtff :ilrff 'tr]Jffi tuer eAeB rsnqqsrp elnd segequau 0I qu8 .u,(uure1_b;;i drieq-,a1 ntes rasatreq Bunrr u,lt*ua{radlp rypp .,oro{ Hn,I u'p nparrl *iuurtrrr *aurp uro1t1'o**ru.rad uu8unrg.d sBqBquaul u?{B 6 qeg 'ei(u1n{lJeg .rs{uJ-raseE Euquat g qeg ugp rsrol dlsugd *ho+ uslPryeq t q,g ualEuupas '8uquq eret-qepse,r nu[u1u;- ;{, i o* efusrualas

lcupadralqrqe*TJll,'ioo::rHil*,1"f ,-";:k":l1;"f_;,;',1*:,*#}":il# fas'rad tuedueued u'Bu,cuarad ue8untlq.lad tuelual s,qpqrp uBTa E qeg eped.e{u1nf'qa5 '{pslrsls ruua8uaur _ueprn rprrpas tnrrnrr* uBrB rur 1ng jrrtulr;ilri-;;";"rrq:T"r,_

uep ufuunun epud rnllruls ueuuruee{ suququeu ue\e Z qeg eped lunt_1runu3, '(,,udurag depeq:a1 uolag rnuruls u,_Bu,ruara4" ueerrdrmr ,,qII Jq snsol lruun) seqeqlp uB{B {Bpll Burdures a1 aue-d.u1i1rr_ redep Bue[ iu* mDlru1s .ruolol u,p {ol,q '!Eluu1 telad u{ulesrtu rnl{nrls uerBeq npna ,qnqrrr'ru, nl,io *rr* rr,s,r{equad

!u! nlnq eped UBIlBrnlpuep seqeqlp usle 6ueI 1o1od leq_tuH .Zt

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Page 38: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

lunqlq ',utottotst% lnqesp uepftuep tuer8erq .unqq 00I rue_lep Buelrual BuFas nlpr(.lpgpa tupas reEuus Euef q,r-sr,r rgr urltEuprf irryrlnfrnu"* ftup tuuf qeEua Ip l,druartx -tedtuafas uultuupas 'unt1ul 00I tuelsp IIE)[ udereqaq pusai er(uuq Eue[ .rttup ,,trns uBp tlBpuar lu8ues tuu{ rIB use{nuuad uoplnfunueur ure.rterp uuue:l usp lrpl rplaqa' Ip :lapuad tue( leduarEas-ludtuarEaS .T,Io gp1 u,(qespu .nluegat ?sgru urlm{ rusns urBIEp nlueu4 rre 6Eun u[urpe[:a1 (qeFunD lsuanlag *aurp tup,eqaa iuegued. rtasrad tedua depes rEEun Buulu tp :t-Z requrBg ,qra ryq11r.i Fadas -*,Errp'n1Bns urels? ueryeqruutp

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Page 39: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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Page 40: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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Page 41: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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Page 44: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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1e1ad nslg {opq tuslueq uBlnlueuau tlr?lsp uBr.tslBsel'ls{nnsuol esquuetuau nDlg^r eped nluelrel uBqeq uqsuaqqr8ueur uglspla{

:r{Bppe eAuulnurn lnqasrq uuqepsey'ElsnuBur uertBlBsa)l qeto uDtq

'L'Z reqtlrzg upeOl"tIIIJq luadas 'ry lpspat{?ral uelgn{el uetuap tg

lpspaluru{ uBgaq "r"r*

?ue1i nlsnsIragluau uetuap lpfq tuef te)lturl l?decuaru stturq ug)luru$rp tudzp Iul ssurgBqord

'b uep 19 eque Euegas ueouep uqBnrar u.p u,qoq rnlun Fnqpl'lp Brunx z.z r'qurBg

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Page 45: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

nra)r uBr;lffi0 uepnslay !$lnpar rcUp! e:g

.(r-ae usBtuu&red lrep tedeprp tuz'( rulru epedpep urar rIIqeI uuluuua>padrp )ppp n prs ' 'tg6t IB)IS u,nrualar uutuap lpnses lqnpa{p r{BI,t tue,( anprq u,gaq qsr'ps } 186I IE)IS uBnruqeF lunueur eduat *qrq ,rrr* ,rur snuru urBIEq @rz'il

(otz't)

(r-z'e)

tu,Isp uelaunlrqradrp snreq udurat depeqr4 mDlrurs ,ffi,ffii'*[[|,urmffif*tzdeprp Eusr re,u-upedrr,p IIJ.{ qrqar tue,( *,Iu rr'y.Buaryadrp *on'ntffiffiLlffi uetunqnqraq Euef ,,elep e{u8 uep ur*o* no" ,!au,

"rqrq'qrinii ^.rur

snurru ruere.,

hlE'l+(I 6'0=O G'ce)

redepuatu re'e eslsadrp sruuq rnu relru undn evt 7 frI,#:rf$,il inf ;ff.llB:; Q'Z') ei g,t + 7 g,t + o Z,t) 9L,0 = O

pufuaru u"rflraqlp tue,( sntung

uqeuntlp qeroq usrqrrauaur tuer ultue u,qeq Bu,ru Ip ueEunlFlr* rrl?ffilggq Euef tees uped lgrurs{etu urEue ueqaq- ugp lgurr$fgru dnpru ugqeg ur(qnqrun tuetuel IIre{ uuurrtunuer rr.pss,preg 'g'I = nr *qrq iourr qBlreq urEue u'qaq {uun 'lnqssrq u,qeq ueSuap ueEunqnr;r{ luur tuepp gfeE u'p ua.,,oru n,l, .dnpFl u?qeg lnqasrel uBqaq ue8uap uetunqnqraq Euef *rirp eiet r,rup uetuoru nu1e .llurr usqaq

u{uuu8uap uuEunqnqraq tue{ urcpp e{ut uep ueruour n'l' u,qeq roD[BJ uu8uap w{ll,{lp qelq tue,( u,qeq u,qBua., {$un nlrad lun:1

@+d6,0=nnslB

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=nueEuap

rtBIBpB u?{lraqlp Eus{ sntun1

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='Il=o1

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ffi5il14 speduepJrca)tliqSi mDl.as ;

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eqtwea rctq ueau@(Dred fiawreaeo7e

Page 46: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

rur sslB !p IBIIU-pllu {ntun w{durelrp 2.9 qu8 BpBd uqlraqp Bue{ uelBn)tal 1s1npi1 ropleJ-rorrfr;

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uutuap ueltuntlqradp szleq uB"pue{ urBIBp BIIqqnuadlq dru1nc Suef uBueIuBeI B,ttI{Bq IsunseJag uoleg JnDIuls ue8uEcugJed uqerufsra4

uesataula ,g'unqsl 0€ urBIBp

s-0I UBl{nlurua{ ssllllqeqord uuEuap lunses Eue{ g'y - fl qulreq uer{nlurua1 eped JBpustsIsueDlasuol uutuap rnllruls sslaE {nlun'unqel 0€ rrrBIBp,-0I uBr.lnluua{ ssulqBqoJdue8uap lBnses Euer( S'€ = $ nlupaq (runqtued eduu1 srquarues qeturu uup uopsls rgalcnu€eq rup1req {Bpp) uuqnlurue{ JBpusls rsuemlasuo>1 uetuep l,st{,p rnqrus rmun

'0'? s S'g = C r{rpq sqryqeqord uulresupraqS8 gd IJ?P ISqdBPB IISUI{ IIETBPB UqBn)I$I TqNPEJ UBP UBqEq JODTBJ-JOqBJ 'Z'g UW I'guur8eg EpBd 'C

"{"pul serylq"qord ntens umlresepreq uqn1uellp uer{nturuel sslqrqBqord

ueqryunEl seuilqagotd €g

'(g qeg uped 1uq$ .0g.0 = @ pufuetu S9.0 - C

Irsp Uu>IIE>l8up1p qeloq d pgu .qepuar [Br$[u ufut geqeqrp Eue{ srserurs tuelnpaq ruolo1

09'0 = 0S9'0 = 008'0 = C

08'0 = 0

98

Isrol uup Euslu[ ef,efl {nrun

T"J,r#T,ffi; T,H T, TH fi S',#lHlfi IBI$IE efet eduq rqual uBqeq lruun' xqlreg pEeqes fe€ qrg

ueueueex'q

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Page 47: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

,nlrq un

A tuututt-r6,3-P ueqeqlripe{-Brslue lq .ri.g u:q jt.gjq..,scl uped ue*fusrp rruua[uaruoru ulurEurp uup Euelurl ufeE uel8urp rln* .

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Br?Jas ueletefurp tudep (', = uep 'p) uolag uetuetar uup uutueEar uretue ue8unqnq (Il)

spBue{sBrBces ueleur(urp ludep ('= uep b; ugeq uetuetar uep uetuetat erslug_*tuuqnq (J)

rulep tusptq edruaq detaruB{B rstsp tuuprq tuudrueuad nllg,( 'pua1 e51 tuur( BlrellDl uu:paruau [uI lt*t"onqurns e{ lBres den leref uu8uap s'',nl tupuuqraq .t'uedueuad

leres-leres spBa (ualatuep {rrsl uutuetar) uoplapuedred uep tuefwd uuqequrz1red edruaq {ruuaq wquqrued (q){Fsl uslBDla{ rufundurau )ppp uolae pueru:I 11rq ufua n*prur* rla"p rlppp uoreq (e)

muei ueqaq ueqlpBG@ sr. slfu

uelereAslad uBp uede66ue rBsBp-JBsBO .l

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.ufuna_aunqedasrp tuef nlus}Ial rBsep uedutEug ugns netu mpesord nruns Jpra;rq tetss tuBr qruetuad pfunduatrl ststlBuBrp tue,( tueduruuad 'mJrrBrI suleq uB"pBeI uped:!er(el tuBI IrBrlnlutuel ssllllqeqord ru{undurau n1I tuedtueued_:ete BpellDt qgfdfes lg)lrap npadBulsl-Eursuad'slsgeuelp ltunur rquel lueqaqlp tue{ tuutnuag uor.q't*auruuaa nfens EIg

runlun-ruJntrtIJnluerl

Page 48: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

luf!-9a1-uefsruauauitd,pu,rxp;p*to'#rli;##,,+1ffi|*}Hffi- :ef u€B-u[ Suef@fluuBer rlereg q,' G f ' t DEmD g tuil il e,(uuueqas iue,(

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ra-rui1 qlsuru-tiuBue@'mfnBBa,.rpSlf_1lufueFuBF-aI"

'@e't nqutog) Iuqeu nquns duolaq ulglgPl {lrsl lruulmEar uep trulal ueEuu8ar uol8uepas 'c qelsps (rlsre1p tuBO rrs{aIIBIaEpT-J-qI 'p JplaJe rttuq uep { Juqal uetuap 'rn1ua1 ueruour ueqeq paqlp'tuer( {olgqtuedruuued Inlun tZ'E lp,qtileD BWd uq1fusp ru usBpBax 5trilEnf5q-duBBugrp lnqesr-l^-,-=-__=-:,7_- Euedueuad 'Tuolaq {lrst rq fq

- '(r Pqry lotitil t

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a

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Page 49: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

I

'uEltsBsllBurelstp 6ue^ Bfeq3 - o ueroPlo ,.g JBquBc

uoleq 6uedtueue6 g.g JBquBg

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3 lr9-": t1.) 1S

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.-.o a

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Page 50: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

usp 'r' t€\:i;T- iquJepe iieilnser 1ga eres uep_ uelns-a. ue>1ar Brts ursrus )r'r,f 15[c'o;-K--iu'}l,'( uu{eu5f suried susr ipras *p ;r-pt-i"p-a-lrfr-if-ar{Euel

{'tt

'nrfqrrq "qt *qrug5l uFBA uolaq uffin

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f - ----

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JBquIBo tr,p >o J,IUIIIq ruer8erp ug,Iuaq,p rs'€ requeg BpBd 'enp leferap eloqered rl'nqas qntdp (s'E rsquug uped u,p ",3 *p 'p ,*d rarurl uuEunqnq u*f"terua vr Ds.Er'qurBg

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'uB)lq urEroBP tBreq IRll gz.g ,BqurB9

tr*

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Page 52: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

,r!

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Jiununlun l nluc1h

Page 53: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'l

d+"'*QI+p=lFlo unlruua1n u-,

rur rruruseq Bnpa{ w{rlasrrro.., e8.g u'p a8.g *o*J".}';rH:?ffi HfrH:rffi I{slBpB Euuplraq uolaQ tueduuuad srsrlerru ,prd tunuad-*"orarrq Eue,( u..r,seq ,tqi-. / ,, ,i ; ue6uBtnt uolaq dnnuad Z

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Page 54: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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. tuqtuas Jatau"rp = epEruu1n uutuelnt u?D Jalauurp = --t

tu?d+wo+-*o+*p

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d uoteq dnpued vW p ,q elrl*n

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Page 55: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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q

'C furrrq rul '0 = ryZedruaq uBlep uuEuuqurase{ usBp ,"r rroll;!":f ;;tr?"r# lr_X Fr?qaqp efuuq Suudrueued BIIq qsl,p' nunur rnluel d"prqra ,gryg3*S rr,spBatr n,mstue,( uteq qalq s"rC O

Y,?r';9r;"; w. r,ie nqutos)ueEuBtq ruerrepff g,!3'L:::T,*,;:,::x?:*y1:1q_99€'owDe);;N;;:;;i;p;il"ffiH{ uuEuap uor ae Eusr u lra." ruedus u ed

-

dqrr, *i l frr'-lp I Jil;;";; ?. ;:{,rfJf#EueduBuad ueeuBcuarad .g

.urur 04 Juseqas urnurn tuuf puruJu uoleg dnlnuad pqat qulreq qeuut uutuap ueEunqnqreq nples uup iunstuq tuenllp8uuf'uoleq 1slrr4suol {n1un

urur ur'Isp rsnrrq uetuelm upud uopq dqnuad .,n.,!uFu pqer g

6ue{wea rcpg ueeuwuaod fisep-l*s*o?t

Page 56: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

- , , , sg.o =, nlelraq uB{B E)tutu (rtuc73>1 00€) sdht 0g >

"/rttE @ .1 - il*{.p.Q.d = qht elflurqas : }.p.Q.d = 'J

, (r.l - il.i = (o.+ - p)."J = rW

--Lpi-€-l!gy,!p- !?!:,1)-y:to:ad1p 6 -- 7rl K lJeh---]unrrn**rp qnaEa+B@ ?ped-Guilu u>tntu mrff*p B

-l'fuo'c.lr z-:. .t a

o)tlI8'0 = S uetuap ueltunrrqradrp .

\ .\'L + Jt4? j' /=I ct -r-9 /

-- 7,/ Euequras lsrpuo{

qd uu8uelnl orseu ? IaqBI

_:,,1/,i

\ 't taqBl -uIBIsp urnlSuerrp luf uu3ue1n1 orssu'susqmras rsip"ort *rtrp uEB@ t

f{ wp', / r.sgffi !

p OA1'O = r nBfB OO9'0 = * uz{ledeprp u>leru'(zurclE{ 0OOr) Bdhl 0O? = ?ettg

p llL'O = r nElB llL,O = * B{sur

'GucF{ oI ' z) eay.I {l ' z = '3r zuas (.*rFrr oord EdH[ otz = ? ettg

o)'r

Iil + t'QQ'o-.__'-#

-:

Loo)o

lqlraq ptuqas pedupp rul urBrtelp Ir?O

q6'€ rBqur?9uetuap rpnses.ueEusEar ruurtep lr?p uu.{nluelrp c lele a

l- t ) -

'; )-.5 : ,'l^ )8 o .usFu,Blntorsaru,teruuulp d *{""p,p-pia4

qBIIaq GurcF:t 0S€) BdhI SE = ',; rylufl1n-, , )) sg'0 = c qet aq Guc/s>t 00€) BdI^t 0€ > ",./1uog

usP ,'c = 2 lurs [d

-

T''v = e't',./ sg'oi: . ), :Btturqc

t,// T'v ='l

$o'?^f sg'o= ',pdBprD ci'g requrug I.EO

? .€oo'o r nc-{ _ 3+ ,3 p

)r \t'o .'i/ 6

* 19€0'0* l,IL0'0

sz€0'0s?90'0

lLz0'08gs0'0

LIZO,O

0€r0'0) elro'o''.-€zEo'o

(ooop) oot(wvil wz

(oss) ss(008) 0E@sd sz@od az(osr) sr(.ruc/3>1)

Bdh[ J >f t,t'>GtucFD Bdr{ '..f

9?urn an-fianp wp?

III

Page 57: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

-T

'u'qnluruer leBs Bped u.6u'6al u'p u,oupoe, urero.rp ,ouedureued o!.g Jequec

,-7.!

(rpq ueiluep uu{rru{ril qn tuequrras uetuotu IEIIN s IeqBJ,

*dep Yl'rPqurBIBp u,{Iaqqp u,p u,[slufup ,,dup ueruequ4*rr, ,;ilil'f,f;iJ:Jll[

l.otv = tQ,,to se.o rcEeqas elld redup nete r=l@{{*4p,ry14*_ ry o = ,r3 "rra ,rarlq-p.r

il,i,k,Hf iHt ** ,,uu'*'l*,,,#:#fl*;ffi,ua,', *unu,,ruuqudl EpBo BlPq {nlun undne., u *r..0 uq'n{e{ Is{npar;?,'i, il,T,H:?,Tl,1,ll,l: *:: :yI _" o i u,*,1*

. uee uB r uarcd * p uuesl Faru ad uetunlrqrad ruluf sBq,qlp auu,,( ueauap ,nnrrg :*q*u_r{ urnlpsls ,"ril;"I":ffi#:H ueEueEar urer8ep ue8uap Euedueuj qrnqrr- rEeJ uapfesip 6q rl,)res .0I.8 r,q..,,g BpBd

ueeuecualad uep ueeslpaurad ue6unllqJad .t'fy uetuep BuBS uerpnue{ r{Bqruaq ryr i {Fer u[e9 .i

"praugp rgsaq

J qrqal Suer uetuulnl .,qr,p'= ue8rrp?ar u,{rnqurueru uu{E , taq'r upeduep r,r,puar qrqal Eue[ ueEuelnl ors,r uureleured uped .ue>1aurp"i .;rr*nrrq"l urrnauuad epuul eduq lpeFa rcdup 'uoleg u{tuncuuq u,rqBqeslp ugqnlurual ulnd pr1'paecn ,"aif )ppp ue8uelnl qalq ueEuetal B{stu .reledrp Eue[ t irqrt-rpgdlrgp laau,r qnq a,iii *duglnl olsgr pllg

tuBIBp uatuotu uullseq8ueu uB{B lrunl{runuaq (ruru) z?-uup (ruur) q u"affir[],,: 'tuul uBp (uotmaN) N uunlBs ruBIBp Eunlrqrp S't"qrf ,pra *i+irnrunrlp Euef rBIru_rBIrN

2'" I

. i 1/ r ]

I8'0.= f, uutuap ueltuugredp .

duerue? uotq uenu.wueod Jeseprweo9D

Page 58: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

't

?

'tutu osg - p ueiluep suedtueuad qeneQ rdar "r,rt',;'fJ,

o#lrrH :Lr;;dJll1r'il] uSSurqas Buedureuad uped udru uuDtrruapas ue{Iutal1p lul ue8uulnl .(

f f .t nqwog)ggf C.t g nlnurraq Bue,( .uu, sz u'p 0z ,gl ,zl lg ,rt.*erp ue'uap au,sel_Burseu ue'uelnl Buere: € Fregrp (zuJ 0? x gd zuu @? x ,sz = tr x q usrn{n ueSuep {oreq Suedueuad qsnqe'

:!nqBlaIrQ

tloluoc'IuI l{B/'opq fp r{oluoc-r{oluoc ue8uap uel8ueralrp uBrB u'Bsruauad ue8unilqrd drsur-r.4

ueesluauad ue6unl!qjad .s

) . ,, .r,/- ,) ).r., t,-,,),,t1 lriu;Bnnr 1ffi, r e Beqas uB{Br Br r p urr',l,ll',10'

t

:,il":lll ff:L' i,H, f'.II..,I,Tm 2 uu8uap 'y uenluaueu sr,c '(z) uep 11) snurry-snuur ueleun88uatu ueEuap u'rnluarrp t "-qnp

undrul 'rnqpailp {ppp yr.,<'1.qn1-,rn re8eqes , urp 'y ,,{un's p{pru .u,rnruarF,'l' r'r't'

"*"g='r:1{rrrl gr- fu,i;;; "rp uoras Bueduuuad nr*ns e.qedy 'i1)t).1rr))) 'ruBBs{lratua4 ureEffi.ffi re8eqas ue{elplrp rnqela{lp ulgp qrun1as BuedueuaC nlBns eped uugctlp tedep auni 7'rr*"* u*nrurur.u BrsJ .q'pnu ueSuap uernlualrF tedep rur rnqqe{rp ryp11 Suer IeqBIrB^ Bnp .(z) uep (I)

'n*nirnrru uentues ugSrlaq

Pp leleiuBp fil{BIBpB l.nqBrailp )t'p.rr Fr*r loq,Ifi^ltgp=qas B)tn* .unf,ir,;i Hiliil; "toYg

Suedueuad u,rn{n euet*efuq uip g?rrq nrn* rnqelarrp rue'unlrqrad nrens eped elrg

/ t 7,/ .- \/ 1 ') t ; ., -- ,') t - . / '/ - )' .'

neiu (a szto-ilrflOrv

(c so?'o - il?g,0.'v = ntr

uellrseq8uau uB{B (.ruc781 0S€) edhl gE = ,, / lnrun

(c sz?'a - p)^!g,a.'v = nn

-, I -,

(od'r r'" - ')

,'./t

Q)?t

.l,

rll

{J

Itrll

I

rqt

Idu(

uur

'@

= nW

qaloredrp ue{p BIBru ,Gtucl8>t OOE)Bdh[ 0E >

"

"r qlg

(pr)

(r)

(o+ - ili nqe (ol - il"J = "rr[qeloradrp 0 = I{Z ueuour ue8uequrase{ pep efulnfuelag

!'v = ', !,q sggg.o

uelrseqEuau uu:fe Bdhl Sg = ",{ {ruug

t''v =', !r'q szzto

uSnf tudep n tn^!0.'V =',!6.c.q SZ?,L,OuBIIrequeu w{s (zuc6>t 00€) Bdh[ r,,|Til,?DlBIreg (ztuc6{ gSE) BdI4[ SE =

, /1ntufl qglreq (zucF{ oo€) BdIII oE >

,, / rylun

,.C=prurslO

I

q

ununlanty ntuel- llli

Page 59: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'g tfoluoo. ue6u€p rensas {oleq Inlun ,V uep }t1 enlue ueOunqng zl.g Jpqtueg

eltt

(+rur) sV

',,J

'

I

I

.>II

I633

I

--l ltziI

lurf.U) rff {^ .- : . \, - !-

rrttuLSZ=cSZl,O-ptuul16Z=rgzr,O-.pUruZIE=)gZ?,0-pultu 6ZE = r SZI,O-|tutrr Itg = r SZI,O-q

) ; .)-,dlcJa tLll -'vzww Z?6 ='Vzuu 809 = 'y

. zuu 6€€ = 'yzuu ISI = "V

, O ,r.,) i,r.r 1

.

s7 s0 €,

.a

ozao E .p

gI(JO E .J

,ZT gO E

.q

g ote a

tuul 8le = Jr.ur.u6eI-.2tutu 68 = cIIItu0S =Jtttttt ZZ = ,

ffilrt';iltrT', !T_9.-

p =,?^S.,zn,O-p),pefuatu ,y grl.0 _ c ueEuap(c alcto _ il.Tg,o.'y = ^h[ e) snruru rB{Btueru uuEuaq

'e qoluoC loleq 6ueduwa6 ll.g rBquBg'ygrl.0-re>leHl

1"1" OOt'"V = ,,r,r,rLffi ;;ff#^(I)

snurru '(rtuc7E1 00Ot) edh[ 00? =I ueP (3tuc73>J 0SI) Bdh[ gt = ', f t*','!'r'q SZZ;O(1) snurru rslBrr.reu ,J;,H

:ue8un1gq.ra4

'ru1 tuedueuad ue,nqlpJn|uel uaruorr us)lnluel

:e,(ueqq

foefWq wlq uenu@tteted Esep_rmeq

ledep ?uef, "7111

It

Page 60: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'(rurc tl1,oggz) Bdh[ 982 = # - .+ 00, r{BIBpB sslB Ip

!

j

?t!gqnef rl8uruaru uBr[fiqi-;qp;@ p^n rgar lpul.rer

("utc 1E:l OOg) Bdh[ 0E = Ufudrueq tu = b efeq uatuetal rrerpnuex

.(S-t.€.E Iss,d EGI66I-SII INSXS uetuap us{r'nses;p trn.i (zurcF>l ,OI.d ?dll[ 000002 -'g ruEeqes u*luurrip ,g uot,q;-ti ssllsps,le snlnpou {ruu,

uu1Euepas.(s.I.€.€tBsBdE0.I66t-sIIINsx5uetuapP*!sas1W.rpefuaur u,{nrualrp "g d6,j{ '*lrlorla snlnpou {nlun

( G-z'e'e les,d €GI66t-sIrINSxs uetuap rensas) Ul 1,0 = '!

ryitfueur- ueltnlusllp Il {n1un;,.1r1T/.'l)7),).).).\.^.^,,1\^},i],]1\J4^.ll<

lqlraq snuru qelraq pefta1 tqf efeq uetueta

{nlun eSSurqes 'isucluiuJalEue rnqislp nelg , uer'sa pEeqes lgue,up 3 r;grlp""q.,ra

'grg-= o g

rtBIBpB ufeq uetueEet wpt.rurap uutuaq

3 = '3 uerpnuol i

B{stu relq {isem uoleq unAngui Bfeq >fruun ffeq- lr{

Ip uoleq ffiueBer nEBrrp r*rr rrBurt"l ,FA *BtlrBles-'nluaual

-ue8uu1nl IIBIuIn[ tudupr3, {pel-rlulesp BpEd 'ti, '"1 rqar unlaq tuer

{olBq tuedureued {nlun ue8uuEq rsnqrns1p lsrlllrq q.E .raqtileg BpEd e{olgq qenqas uped1efueq letues Euer nqg lplPas lu8ues tuef *iun1n1 ueluun8tur* unluilirp'u,:,"'q"rrav

unulultu ue6ue1nl aseruailad lg

ryduq l'rpas ,,t'es us-p,rrryq,ru#nl#fl#i,trT[]"i"i#:Hf# 'srunl slrst ruBns llB)lepuetll 'y uup "y41enyJr- uutunqnll .et.g nquog)'y *a*Inl qrfrnf dupuqral "4 un-tteP lruuequleur Inlm unpunEgp rrBrp rur qaloradrp'tuu{ n, rri-r-*rrp(urQ 0t IZt) tutrpI t,tz,t = uurfl

(ruE:t OLL$ urlst l.l,g = rrurfrl(rufi OTfr$ ul11:I 2.09 = lurufrrl(ru8:l gtSE) rr1rpt L.S€ = unufl(urtl 0S9I) urlel S.9t = unrrfrl

ttgg

T- = r- B)IBU!oo

CgAt--gt5= 3 UBP

E= -,

fil'l'lZl = LSZ'}ZE'ELiL = 'n '.fil'L'L} = l6Z'0ZE'Zt6 =

oIry ?fil'Z'Dg = ZLC'OZE'EO} = 'ru ')fil'L'SE = 6ZE'02€'6EE = 'n 'q

0I'S'9I = tt€'O1c|ilsl = 'n a

rcdepp (c AZ?'V?) lg1tv ='n WA

6'4 iiunuryunn nuct

Page 61: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

6I00'0z€00'0

(oss) se(osr) Er

GtuclSD ndIN ", {

(oooa) oor(wvd wc

speroq 'ryd relru_IBIIN 9 leq"r

'speroal ,*d pllr-rglru ug{lraquaur 9 IaqEIduSSuerp u,(usrlaroet Euer d relru uaq..,o.,, uu4v'141 uepnhruuleurefu"* urau[:ffi1-i

urruN ?pq.d OgE = ,pq.oot.d 6.0 = "n io}? anfg ruruN ?pq-d gIZ = ,?q.OVZ.d 6.0 = ,lrt :OpZ dJi;

,,,", u,, fi?T .I,?jff ;1;T=',r,,H p. t v 6.0 = ..141

el(ew ip 6,0 = (c szl,o _p) uqnrualo (c SZ7,O _ Or!"v = ^ru ,17y -si,"* ninp* 0.I = C trnru,l

zg'0

9L'A

or'ozg'0ts'0

(tr) t,t = sE!' L,O

,(se) 8T = ggJt L'o(sE) s'€ = dJ' ,,o(re) I.€ = {* ,,oQd L'Z = $l e.o

sg

0tSZ

OZ,

SI

(pq. yey.u ='n)- ururN{qeu ueuow {ruun rBIrN

(ztucfl) "aW t qruuru snlnpohJ

. ,dIN,,I,,,uofeQ unl^t

'!'rPQ z'o ='{ = *tQ'? '! = 'w,(T1,r

:B{Brrr o'.o = 1r,Seqes uu:lurqredlP r/ Ptot r33up u,ppJlDtega rEEup er,tus Blsr-Bl'r uuEurpueqrad elrqedy

{4er {el EuB{ tuedueued uep (ueueqel) ue/trel ua1IIotII ,

*tq + = . -

hIB^'B {,,ar rpBF,:J rru{B u,*I"rrlil,rll'ilrTffit::HH = ,i ueEuap 'orr1.l

='N D[BIreq JB^IB {qar prp., urrfpl* *rarelar EueK Sueduuued qaro u,qqrp tzdep Euer Jn,uar uaruoru trup {4er >p1 Eue[ Suedueuad qalo u,rl,llp tedep

-Euef ,nrurt or.L* Brslu, IIreI Eue{ ueepaq:ad ledepral 'eEEurqes udru uuqFuepes qildp sn*r{ rq .,n.,rurtu uu8u,Inl I?[N ''od ,ulnurluru uuEuulnl IBII,,, uuauap'unlrlrruip-indep pi'.ruueual .,,n.,ruFrr ueEuqm qepunfas lreqlp try,l rnluel lueqeqp Ur.irf auulnuaq uoleg tuedurgued.e,(uqeEacueur {nlun 'snlnd {EpuPua,, efeq uuryeqpptuJru tedep Bqp-Bqil tuui efeq uetuutar uuququsued

due1nyeg uopg ueeueJuaod Esep-Jwe709

Page 62: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

,*Jl#,1"]$'JfiffilI,il"f# edunl JnDlruls r*qnlurue{ u*neqHutuatu unrp *q"q urqrq*rurd rcdecrer {Bpp rrr * up,:llepuv.'truducuau.urtuefrp snreq uz8uulnl uutueiq ,rr; iw \*rlrEuau rolgq u[.E

( r= + -,=)P'3;= c tlrc

('=+-,3) ip=f,=::,:lBr{llra1 (ctt.€ nqwog) etultas ueunEueqasa{ {uuaq IIDC

ur--------- . '%f:=

'",3 DIBIraq uolaQ nlnlu qrunles {nlufl 'n1,g uatuou rudecuau DIpaI uetuetat -gJg* ruqureEp rEel gu4as 'qtr| JBquBg pp,d e..run.,,rsryu ueEuzlnl, aisluasJad eEnf tedep:ageludu lunurruru uuEuelnl aseluasrad urtn r[rrrd-Eurdtues p:ufq ueelqrad ue8uaq .urtuul {Bqld W ZI.g Equrgg upud lgurE rsuluqueu Inlun uglqunqrp auuf r{B{Eds ***

unuleleu ueauent aseruailad 79'0t'€ rBqueg eped reqrueig

rul runurrunu usEuEIu uBp'ussqBqurad .lBpBruetu uB{B rur uuEuel$ qBFrnf .tedq [El ; resaqradrp rur urer qlqer Euef ueuour ue8uap rcnsas Eue,( ue8uefnr qgturna B{s; ".-;

90€ = 'y uu8uap uqPrreq Eue{ ueurour epeduep IIra{ qlqel gq rd*arad e8lr olq'qr=.zuu 908 = 0SE.0SZ.S[00.0 = -y-d I = *d nor g€oo.o = -:

'[ Iaq,r ueEuap r,nsas zulN 00? = ? rnrun .g ueEunllqrd *"H:tf;T}ffi

8I00'0sz00'oFIAI-d+-dtJFEursttv

st00'08500'0sfuuntun rrup lo1ug

G*r1t1 0A0r) Bdn o0? .= ?Guc/bt 00SA BdI^t 0SZ ='!uoFg nntll qunlas

uqtarur(sp tuu,( 'ord tunuqulru uutueprtr 4 FIII

. t lagsr uped selEupp us)[B uollurelsrp tuef wd urnuru'nu uetuBlnl qepury'S200'0 =

'ryd rBlru ur:luurefuaru slnuad .u{upp.u uulnlueuaru ,lgpp E}I66I-S1I INSX5'0?Z dl[g solod efeq r8eq uqEuupas .gI00.0

= 'ryd

ruseqes uulnluallp run1rlrunu *]*f" rIBIutn['00, CIfg- uopunEtuatu tue{ teted Inlun nrJ tulduus 1q .augaureuad uetunrrqrr

lrunuau uelnpadrp Euef 1-d; uuEu?Fr sunl rdq lrq $ rrrrqr"ap ledup urrynirqg,Eue[ uetuelnl sunl uu:1urflEuau S-€.€.€ IBsEd E]I66I-SII IN$IS ?petuel1e paeqag

'aruar irtill-1ffisE0o'0 = wd : 00, antggs00'0 = od : u?z artg trrus:l

tHlpas Eqpd uu1n1radry tue,( uutuelnr rlgfirlnf .-r"1";I-*i,r.uuauodruol pruo Euedueued dupas {$un lurnluuaral S-g.€.g tBsud ES'I66I-SII IN$IS Bpr.1

tilil{il

[9ufraufH.arw.tTrl,q

Page 63: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

usEuelnl ?dh[ gI =

c

Otrypg rcteg taettafrred Eslptess7

(zucF)|edl\r!

'ryd runulqstu uetuelnl esquasrad g laqrl

efuq uep uolae nlnu orsBurquol qrunles {nlun Td eEreq_e3req u,,lpaqlp i IequJ BpBd 'Ituntu rnlual depuqral -o

si'-o = 6d *1r.r, dslq reEu ualnrueuau E-€.,. i IBsBd E&I66I-SIJ INsxs epud 'tut "t'itnrv orq"; Euu[ 1**ogrpsglrsed*lraq mqnxr uallrseq8ueu ue>lp'*d 1rep qupuer qlqal tue{ uetuelu olsur uelfuur{Buaduraur uetueg

'redecral qela + = '= *p %oE'| = -,= rr,rr,s,praq rrqnrua'

uuEuulnl ols* lnqa$al IaQn epe4 ', Ieq'r E JJlnq eped u,lnruarlp q'Ial ueEuelnr r{Btrrnr

?ooeo__p.$pQ=,rdeprp (zwct?looor) zunu/N 00? = 1f {*un 'r:ltueper

p ttL,o = p. (ztooo + gooo) _ _

800.0 ' {rdeprp (zwrctt7- W?Z) zurur/N OIZ = ? rf*on

000002 ,g tT =

T = 3 upedqeleleurefeg'"'? uer;nlueueu rnlun ue6ue6q ure$qp ue'uep uopq &rcdueue6 g].g rBquB'

(ooor) mr(wvd wz

l13l

rI*ia

(osr) sr

(ztucpD vdIN', !

z9

Page 64: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

(c szv'o-p) ^! B'ot=1,

. lDIIreq pEuqas slnlp tudup (g) snrrmp

tuer uetuepl q,lurnf ,,pul 'ue1n1ua1rp B[Bq nrnu u,p uo,"g -t"H'Hll?flil'Tffi uopg rrBrIDIn urlu:ppadrp uBrpnual .rnqelalrp tuedtueuad r;enqas uped a ur*ol1ll;Iqc",uBBUeCUArqd ue6unllqJad T

(tu8:l 0gr9) tuN)t g.r9 = .r{

ulrrrN {I'g'rg = OL.iZV.0-0Sr) O?Z.g,O.frg = .lg

qaloradrp Inr{etal1p tuyf lelrru-r.ugy ur:plnseuaul ue8uag(c SZ?,0-il.^{ g,0'y =nW:(7) snurru lrunuay{ "L

onz' ws = e r .c.

0 s z. szz, L, 0 qa 1 or{ p, " ffi , l'r;'^ [H::l.l|rtr

t.l# :I *!'V

=,,lilq 1ZZSO (1) snuru lunuart ;(Fqele{p) - (zurc pg.t) ,ruru }0g = ,i ; (Fqela{p) - (urc Ep) turu os? = p :(Fqela{tp) - Guct?{ 00rZ) edhl 0?Z = ,{ :(Fqele{p) - (.rucF:l 6St) Bdhl SI =

,, i

,

jenses rorBq oued,rane6 rr;t SL:B:ue8unlq:e;

ue6uep

''7,g uaruou IrB:tmE-

:ea'uumg

(zrucF{ O1nA aAIN tZ' = t ufeq n:rE*(zrucF>t 0SI) Bdht SI = ',./uoraq n:-7,

'zrrrru tog = %e0 p ueturn;'tl'E rBqruBC lrunuau (uc Sf) uru Qgf = r

(ruc 0S x gg) .uru 00S x 0gZ = tl \ E

uurqn uutuap {opq qEnS:lnqBpT[

t tlotuoc ,g'(g) snumr usnrueq ueEuep }1r qetEunlg i

(1) snulru uenluug uetuap c qeltumgl ;tuepq-tuq,q rera.,"rp u?p rIBI.,,n[ p,p rurru rrr,t?p ', *ffitfir:trI"ffi:: t

{ Iulol r8tup yep p JIDIaJa rE8up u?{ntuel :Q, pqDq t uupnurrrr .Lfrq'nrirur *aniu"l i

r",rrresrcBuqass,,lEupp*l:0"#!l;{*HtilH"?,i}H*Hil,:"'ilueuDlauea gE

ru

(o

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Page 65: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

rlBnqes uqrraqr. '(plppasral u,{rrqrelrp lur n,,nr].^r:lluag ,:1# :Hr{rl:I "ff

u,p leqer qng IrBp qrr,lrp 8uu{ 6. raq:r "pua uulueqrp Bu,cur-,-1rqa r{Bnqes IrBp qo@_- 'w wvlep p uep g uuEuap g}r'pQ d ='i nlnlrrf'jy {nlun Br'ru .zuu ruBIBp uele&uu

sru,I{ uu'uelnl qeltunf BuarDI qaro .sOI ue'uep u,{rr,rJp srusq # ,orrrr,{Bur;, ;: = ( rPQet ur tad telad eped) ru tuBIBp p uBp q uBtpnlrla{.rulpl -ruelEp uatuou_ueluotu .H, IIP)lIBpuV 'unu tuBIBp p uep q u"rtaunpr, **1..I ,lr"fnp srueq ny,t1

v,lurcdgcueru rylun,pq em, -e*-

elnd (,uru7p ngle) BdI^{ ursp sru,q T Wp e'req-u'req B{Eur '(3ruru711=) edIAI u,nl,Sraq ",rrrp r!,(e)sn.,,ru

eped u'w 'tedac uu8uap us'u'Juerad ue8untJqrad uE{n,lBIe.,, ue{urx8unuaur Buer rzte uullaqsurcdup u'rpnue) 'd uetuelnl oJs,r relru utruq-e'req Eunlrqrp tudep erutnfu,les #uep uarun rBIru-rBI1u eped sues'qruqp Euu[ ^! urp

"/rsuu_1quo1

deues ruun n

'd ue'uelnt r{elunf qulefueq Inqqa{lp {el Bue,( IpBf .nlueuel rptru-E IIBIaI IUI sBIu ,,IB*I tlllldlp q,Ial efe-q^uep uolag nin., Buer,,[ Ideral unrly .ue8uulnt qqo*'r euas efeq nlnu u,p uoleq nln., eped tunlurara;;;q uBuB{ seru eped rur us'r.rrBs-rad eFw_-

udnraq ue{srl$rp elnd tedsp ssle Ip lruu1c

(' + d we't,zt;, ! e'opq d ='rq

uelpsuq8ueu uBIB "7,g snuru uBIBp ue+lnserulp sele 1p , pri-\

, +'d wt,'1 = ''!r'?'92?L'o

= ,edruaq,,n,ur{* Turlr*,, *",r=

^!pq.d = ^!'V = ,, !.r.rl 1ZZ;O (1) Snurru ltunuali

\, gzv'o- il ^! g'o'pq.d = nn

reEuqas qeloredrp p.q.d - ,y uu8uaq

(c az?'o - il ^! g.o.'y = nn

uB)tnrueuetu rnrun uerplruad rBrv 'e[eq n1*u uBp uoraq,,ffii#]#]'#[:TfilH UBTI'{P Euqes (d nsle) 'y urp "14J u'lue ue8unqnrl eu'ur Ip .leqqitegq unsnfuau ue3ur Ir'puF{rp rdep rur srrr,I Eue[ nDIBhr uBJB{Bued .l'rp,n{ uee.ue*,ed ..,BIBp ,y:uuruJ nDrr; u*l'.,au u{uuepseladued B{Bru ,y aunpiesu;;

"*yl t(Z) unp ifll u**esred Bnpar{ trrBIBp BU,JBX '8'0 = d uerenla{ rqnpeJ rot{eJ unJeun88uaru .rur q,q ..,BIBp ue?uBcuarc ueEunlJqrad 1n1un ue:lnpadrp dulr irqo-r"qrr -i,r*r1np rp rnsurrrral w{nrualp r{EIa tuu'( u,qaq JoDt"J uuEuap 'ulrrrrq nl,ns reEeqas Eurpuedrp uele nplas .7g

uaruory

7tl OOg) udhl 0E >,,luqresspreq Bsulluuues ufulnfuulas uuurunuad.u[uqep"* #ffi l!'v = ", { .rq Eziti- :(rwc1?q 008) BdI I 0€ > "./ inrur (1) snurru u?p uelrernrp srueq , IBII;(

(e)

dueqnyeg uopg ueeu@ueJed )wep-rwe7!9

Page 66: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

009800s€00r€00f€wa€OOI€000€0n5Z,

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B'ZS leqBr Euulnpag uoleg uBsrrBruerad leqBr uBp {gBrc mlng,, IrBp r{oluoc 6 leqBr

unutnlutqry ntwTry

Page 67: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'9 l{oluoC Bped BsltBuEtp 6uB^ IolPg gt.g rBqureC

us{qurqqtuer 'y p8tunl uutuelnl qeFrrn[

"r*ri1 :e,(ue1;q

oor = n,,y

rn1ua1 ueuoru I['i ffijf,XGrucF>t 000r) pdht 0O? = at ,fiq

"rirli Gwl/S{ osl) Bdht sI =",luolee run}t(urc SA) tuu 0S? - p uep G*, 0g x gg) nerzllru 00S x 0SZ = q x { ueJDln refundruers['€ rsqusc lrunuau uoleq {olBq qBnqes

:!nqEleilo

g tlotuocuedunlyqtad qoruoc-ttotuoC 79

g uep I lequr u?n1ueq ueEuep .ryd > d >,,-d ,rffiXtX#:.. ::

(ut utupp p uup e) ;ac fit'pq nure zurru fit.pq.d ='y oetud';,*pr[l*i .9

reueg tuef urolo{ BpBd d eceg .S

zulr+t *r*o#runrrH .,'leqsl uBIBp ruledrp Euu,( tuoJol upp rre{BunErp tuef laqq I{BIITBC .€

efuq nrni:ir u?p uoleq rrlntu qqqIIId .C,

'rl tslor rEEun wp p JploJe Ftun *rnrurJ .I

tudep leqn,-teqn, uopunssuau uetuap ussu,cuarad uraunrr,Jl-il#tnffH;ffiueuDtdueA tg

'rarurl srrBS edruaq rrduuq 'y unp "4 enlue uuEunqnq uo11nlunuaru Euef zI.g .r'qur,g BpBd rg,lE tuupp uu14e(urP saeqrel Eue[ lsBI.reA rqp[B 'nr1 Eugdures rq .e{uecequauEupFu suaJBI uBnIleD[BppeI u,Ilnq.,rue., iedep efuruqHB :rrr*-rq lHlpes ", pllN

!a DD

= -1, B{BIu '- - 'V

nlqpeq pteqas slnllp u[uunu61

z'^! g'o ,

ff = 'y ueryedvpp z$ g.g.'V =^ru Wq

llt'o-r) = * uu8uap BruBs lr.rrreq * utrql

f, ^t ,'o

(*

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Page 68: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

t (ur3>t 00ZIt) urUl Zll = z8'0'Z'0'0ZT,E = "l{(uu4selodralulp) zullet OZZ1- = # irunu 00g x 002 )toteg (e

I4t

"y,g Eunlrq uep d ueEuep runsas E*A #- BcBg

' tz'gleqsJ, Euelnuag uolag usBuBcuerad IeqBI uBp )tuBrc nlng lBrlll (6) IeqBI qBlqllld

I€00:0 =

z?00'0 =

€900'0 =

SZI0'0 =

008'008

o00z008'009

0002008'00,

= d lruru 0002 ='y zurur 008 x 00g {olBB (p

= d i.uru 0002 = 'y zrrnu 0og x 009 )trpg

= d l.uru 0002 = 'y zurur 0Og x 00, {oteg

(c

(q0002

008'002- d lruru 0002 = 'y zrrnu 008 x 002 lotsg (e

d ueluual 't

:uetunlrora4

Lny{ wp q ruqal elu}ue ue8unqnq qqedk)topq tulseu-Eurspu ln1un"n ua(uoru r{ettun:U

:e.(uqrq

000u

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(zuc 0Z) zuu 0002 ='y ueEuap uu8uelnl lraqlp IoFq snul?s

Guc 08 x 08) ctuur 0O8 x 0O8 = p x q r!(zuc 08 x 0g) ztrru 008 x 009 = p x q r:

Gruc 08 x 0r) zrrrur 008 x 00, = p x Q r;(3utc gg x0Z) ztuur 0O8 xgp1z=pxq rr

lrqpeq pEeqas Eusdruuuad uem{n uetuap {opq ludua uuTuaq(

:!nrIBla{q

I tloluoc

Gruc 0'8) zunu ,O8 = 9t od p uetuepu ql11dlq

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(uqlsepdrelu[P) 6900'0 = d

ur/Nr sL6r=# =# q,rtuurH

'D'7,'S IaqBI Euepgeg uolag ussuucuerad IaqBI uup {gerg rqng FBp 6leqel q?lqllld 'E

(Fqslelp) EdI^[ 00, - ?urp BdI^[ S[ = ',./ :(Fqqe{p) urtu 0S, = p 'I

:ueEun1q1r1

t

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Page 69: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

"/,g Euntrr{ uep d ue8uap runsas ?wt # "rrg : n\IeqBI Suqnseg uoleB uuuuecuered teqel uup {UBrg n:InB luqp 6 IaqBJ _|[,ff :

0r,00.6 - 9@ ooeW=o

(P

E6oo'g = !9?'oo€d=o

(c

0rl0.g - 9SE OOe

W=d (q

6Lzoo = otz,flt = o (e

d uelnrual -n

:.uetunlJured

nru up)toleq rttun ere1uu ue8unqnq qqe*r ' 'p ueEuap rcdues , {opq-{opQ {nlu n n uaurou uslruua:

:e.(uqrg

.(glu.c61. AOnd udhl O?Z = ^I efuq n1n11

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,r, -n",n ffr t#r'f ';ffir'ij,J'- T:; r##

:lnrlqetq

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{uuru uauotu u?qBqusued uulqeqafuatu e,(uer1 1edu rIBT ,np ,rrrqradrp lopq rgq{

(ruE:l 0099r) urlsl 9g? = 2g.0.g.0.0 96 = "n(uulrsulodralulp) zulNt 056 =

,Pqy :ztwr 008 x 008 {oleg (p

(tuE:l 0009?) rrrt\pl 0g? = zg.0.g.0.0szt = "rt(uullsulodralu[p) zulNt oszl = # rr*008 x ggg 1o1ug (c

(tuQ ooLw) urN{ Lw = zg,0.l,0.gzgl =

"y,t1

(uullselodrarugp) zulteI szgl = # r*008 x 00, )pt?g (q

duefAeg wtag ueeusa,Bted Jesep-Jese78!i

Page 70: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

(tu8l orc) upt L,6 = 20I.0.0.I.1,96 =nN

(uelrselodrarulp) zul1gt Lg6 = # (e

"7g qqtunlH usp #

BrBg .E

(o'z'sIeqBI tuepuag uolag usurrucuered laqs1, uBp IUBrg qng teqlD 6 leqpI qeFIIIId .Z

zs00.o=ffil'#r=.d(reqa1 u rad) {Nl VZg = 0SI _ Ol O :q uep , {ruun

d ue1nlua1 'l:ue8un11q.ra4

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:e{ue1Jq

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. :ue8uu1n1

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(urQ 00s€I) rul\pl g€I = 20g.0.€.0.sgzl =nw

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(ue"{lsetodrelugp) zultet EEil = #

(c

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(ueqlsqodrarurrp) .urlig gZeC = #- (qn

(tuQ Oggd urN{ g,gz = zSI.0.€.0.Sr 68 = "n

(usllseto&alulp) zull.p1 St6E = #- (e.N

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Page 71: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

(tu8l oqsq) tuN{ 9.g9 = zl.I.0.0rI .sLE?,

= nN

(uqrselod,alurrp) .ur611 ,PQ

lsL$z=T (p

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'n (urE>l os99) rul{.{ s.99 = 21.I.0.0.[. ooEZ, = -ru

(uqrselodralutp) zul1pt WEZ = # ,,

(urEl ozw) ruN{ z,w = zll.0.0.I.ozzz =.N(urlrselodralullp) zullpt OZZZ = ,f (e

N.

nn qBIEunlFI * #

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d us{nlual -l. :uBlesap.(ueg

nN ,rp uolag n1rur Bre1uu ueEunqnr; qqedy 'p uuEuap reduesrl leled lileq,n uatuolu uB)lnrual

e,(uqrq

sdht 0g =?,! (pBdh[ sz = ", ! ("udhl 0z = ",

-/ (qsdht sI =

,, t (, :uolaq ntnhl

(zuc ?.EI) ,uru 0?€I = ,y :0SI _ %

aO uetuelnltutu 0lI = p '(tuc 67) uru 002 ={ uup ru 0'I rsqel ue8uap lgled rnlef ,ro*r(T;fr?

:!nrIqaM

6 qotuoc

* rf.rqnlnu uutuap snml tupueqreq 4duruq Burlrsqp tudup tuef ,7g ueuo4

(tutl 0gsl) url\pl g.sl = 20I.0.0.I.s Lgl ="n(uc{l$tdJelugp) zul1rp[ S1SI =# (q

fiuentq wrg ueeusrueedt JEsrytesEO09

Page 72: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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wz 00,0?z 00toiz 00totz 00tuauodruo;1

:I:{^r^t

,I

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rt'- ,.) .evtcl?1-

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nL. ooL -o

= M'+ t'or.lBIBpB e,(urepu B{Bru edry.OrZ = ^y e;uq re{Btuau elrg

'undede rBlru uellrseqauaru uele Bue[ t+

* ,,0)qe8uad Jol{BJ ueleun8rp rudep ulet Bue,{ ? ,rn,un .1rtu16{

000r) Bdhl 00, = ^! uetuap ue8uelnl uBp IBLruou uolaq {ntun n{Blraq nlr ug{lraqrp Euer( ue8urs8uela{ IBIIN

uqnpuel IBqHB r,stu qspnul tuuf 'rn11ruls dupeq.rat qrue8uadrag nsre rs,ur.roJeprfiilr iX tunlnpuau {sp$ Euer rnl{ruls {nlun q'Iraq rnqasral laget upedrslru-pllN .Buquaq dzpeq:a tstunJ ru8eqas tunulultu IBQaI urntu'rral DS'T'E IaqBJ E0-I66t-sIr INs)s BpBd

,*,ollxxil:,,riJ ue8ursEuela{ Islpuoy 'uuturs8uelal rsrpuor uu>leunt8uau'ueEurp urLopad urupp nefupp eru.,n*'n IuI I,H'(tu1ad nqn {ot,q l'qel lul IBq urBIBp) ufur88urr ueEuap u,llr,rrp uqnpual u,sququrad qqepe r'ufum Euu{ IEH 'u,qu1a1 rEas u'p Brsraur ueuo., ueSuep uslrnrraq uu4Euequlludlp nlrad Eue[ SurtuJ ueue:ad'uelednraur Euedureua,J ntuns uer33uqe{ {nlun Bur,rual'nefu1t1p qeral tuef pedaS 'u,{n,er IpsF* BIrq urunuau tuedueuad nlens u'n{'{er EuerB{ Eunirqrp lllns nll uBlnpual B^lr.l'q '[ q,g eped suqeqrp Buer( ue8uap rensig

uuepua{ nlBns ueledruou '(etupal1p redep {Bpp Eue[ uen3Eue3 ""r, #]#jfrr#i:;]:X uuun8uuq leluBl uped uupfraq Euuro Buaru{ uuretat IpeFA nele .(>1usru

te8uus) taal ug)lB tunlnprp Eue( Eurpurp8urpurp iresoq uuprrurep u,(uuelnpual auer rnrrrurs genqag .undude uenE8ueE n,,e u,{Bsrue{ u'{rnquruau eduei uqnpuar pqpr, rsBrruoJap u,r{Bueu r,dsp reEu 'reEat dn>1nc Bue{ uBn>IE{e{ refunduaur uellerufsp s,ueq uolae Jnqrqs nluns BpBd

uempual -L

'ufuuqlnsar lufuuq {Epll nlnrrreq uqeur ltEup qrqq tuef uolee uuluun88ueu n'ls resaqradrp iotrl rpqar ,rldunprg .r88up q1qa1 Euef uetuep uu>1tu>1Eu1rp tefeq nlnu'rrtrqr{iR {;irq unanrrn rrlaa uuldaupe)t:srrq lelguJuaru wle nn ueuoru s'tlq,q uullndursr ieaup i ir'arrp redur,s 9 rroluoc-rroluoc lrsq'uolaq nlnu qalo qruutuedp lplJpas uz(ueq o7g

ur*ory

t9

1'.

,/,1

r{Bqtusllp uBp €0-t66t-SII

unun{ann npo7

Page 73: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'(utc Ot) uru 06I = *rl uelnlredrp Buef unurunu rEt:EI Lutu

'sI = ffi = *'l : qre^oJlltr'r

ruruzgt=# =*rluru6gI=#= *rr

OO tuelueq

cg tuqueg

unrr 88t = # = *'/ : gv'uquaqn{BJraq (3uc7q ,.r*:qn ,tZ = ? ln un 0I IaqBI Eped (ruc sz) unu gsz = Ir ualnlradrp a*r *r"*rrift*a

uru ooz = .9I = w, ,-mz= q:qJa^elpuB{

ruru ?r z 8z Erm,=m9='q:qCEusluaq

" unu osz gc E""=5;='q:Cgtuslueq

unu 0SZ ?Z unn=5.='q:gvtuqueq

Dlsrraq (zwctB\,000r) BdI I 00, - ?t*rn 0I laq'r spitiuetunllqra4

0o? = ^lrrsqnrnu ueleunaaua., errq .6 laq'*nnrrno'Xlfl;r"W;"*:ffi ffi ffiJr"r;

:e,(uuqq

el's.r'qu,c rrunueu uundunr rudua *, ;ffi:a-.Iffi:ffi:rlHt;r'* i:1"? #ff*3!nrlqellq

0l tlotuoc

mqasarq?r's,r^r.sns,re{opq*Tj::,"*,#l.Ti},T,[*Jliffi :ffi ,,,r#,-llffi

u'rl'ua., retd 51pp uendtururae reled ln,un ,dr;;;, pua1ryL etroor_sll INsxsuqeuntprue{rueruas.m,,rrTf-lo*q-)ppq",*"#il,ilHliffi

L:ffi XT,.YE Eue'( PIuBI-IsluBI rnlun uoperalp ,rnd rla"p o, iror, "p,ia qprqi Euef pu,,u*u IB.or

&uerulq uopg weu?aored Jeaept*se7

'01 qoluoC ';eluepeged ue.r6q6 gt.g rBqtueC

a

Page 74: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

v

ry

u'q {opq ruqel rad ueEuulnl tuqeq qe1tunl r{BIBpB u uetuap :

nA1 = t

:@U'€ nquog) nTulraq {opq {ru,tr--

uuEuelnl tuqee Brstrre {BJB[ TIBIBpB s ueEuap lr"V7 - i:(oil'€ nquog) n{plraq relad {mtr:-

'lnqasJal Eusdrruued dupuqra sulues ue8uept

H?p {elel ErrBrurp 'uuEue1nl Euqrlelas Ip BpBJaq JpIeJa 1ua uetuotod tuedueuadrBnlrel llrql leJas a1 mdtuus Brueln uetuqnl lBJeq {pp BJslr,rB lpruf

^{ g'O = } resaqes lrquerp qetoq uetuelnt uped utituetatZ,l = C ptp uuld4auaut INSXS

SE'I = gl re1uu1 Inlun uBp 0Z'I = C r.euu {opq {nlun qslreq e,{utunun

(c-p) .

IsEr = ti:Ut't nquog) [BIau suet depeqral ?usln uutuelnl lerag :11lp

Irep {Bru[ uep Ierau depeqra runlral {usl le.ras 4uruf BJstuB ueturpueq:ad uutuapBruBs rul '[Br1eu sueE a1 nfnuaru {qeJ tueqnl uup IBlnuI 'Euelnuaq Euedueueduped {uter ruqal depeqr4 Suulngaq 4a tuedtusued epud laat Juqet ueturpueqred

rot x urur tuB[?p {stai rBqal:Qf t rDquog olnd w117) rur snurru 1rrer1u:

'tCtr=tA

,.r'ces u,rnruarry redep r,,el r,qe.r 'ureq uuEuBEq HffiifHtH',[.:t#ffi Iutar uesutpqured 'BfBq uetuetal 1u:pf 'e[eq urupp uetuetar qspps {4ar uqlsqpptueutue,( tupuadra roqeJ 'uu>1tun1grad1p r{Blal pqel qlqel tue,( uotag dunuad 'qesuuetunlEufi {nlun ueterer(sred uutuap uopg dqnuad uesuqequad rrrBIBq'iu.ual uettm{tug gBpedlrup .reseq qlqet selaf q?s?q ueEuqtu[ !p Isorol uuugltunue1 'lsorol'ueuplttme,luu>lSunlrqradueur snreq 5lslar Jeqel nefuruarr egq lafem tuef [BrI n1ens nrl Buarql

TlsEttudep und uoleq Suedureued rdulal 'uetuulnl tuzdureuad uepceEuad ueryBqplstueu sfgq)tepp uelere8ua6 'sede1 uep qeced uulu ueEueFl JslHes Ip uoleq ueryylEunueru rErE

uolnluequed apu'ulnuras ufeq eunlo^ IrBp Jeseq qlqq lerul aunlo^ suaJE[ 'uetuelu;Judepeqral rsorol ue>nsqp[BEuaur tudep ue8uulnuad uetuap rirq,ras uauodurol upud 1e1

IB}AU T

'6 uultug tuepuag golag useu?flrared

IeqBI uup {Usrg qng urutup uelqe,(urp ryBrt uep laqq uetuap uun1uaued'ueueqequad ruuJuru-rrruJurrrJaq upud uranpual tuntlqEueu In1un leqqlaqst

Blar-sluJ BIsJeur uauour nqtedupueu {uun laqsHeqstIgtar

tuedtuuued Irsp I )topq uup pased lopq srslaur uauroru umluuaueru Inlun leqsqnlu1 rT IOtBq

undneu l8asrad lopq l$un ryq, {n IBar ueuroru rrnlnlueuetu {n1un IeWHeqB rt

utEI sru1ue tunl5llp 1udup rru1npuel uulugltunureru tue,( ,fgalt rrup pFudarcqaq uu:1tuuu?cp tuelnuag uotag rrEtsuucuand IeqBI rrep {l;arg rLfng BpBd

I

V "PJY

g9unurftTurnn

Page 75: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

T

tu / Nh[ SZ > ruru / Nh[ g,OZ = unu / N 1tX)?,

urur g, = zl.f + 0? = ,P

IrI/Nht 0g > ur/Nh[ I,ll = urur/N 00I?t =

zurtu 008t = 0SI.9?,.2, = [.ururqulreq uule uuEuuru tuelsp Ip BIIq .edl{

0O? =

= 00ggl'g?A 00t 9.0 = :

zluru 009€I = OsI.W.7, = ,Bc?nc guutuadrp tuu{ Tuts-_-

wg gzh wn.g,o = z

9Z=Zl:t+oZ='pt:*, osl = s .urur

zl = a uuEuep [eIuBI uetuBlnr {mE -_

Bcsnc gnruEuadrp Euu,( Jnqruls {nlun ur/Nh[ SZ > uup ueEueru urc*p Ip rnD'rq, ,1nrun .,,/Nh{ 0€ > y.,pll ,! = :

-srr rNsxs) Fradas w{rreqrp r*{ uaelnqured r*rpes uB ,o*rJp,[ffi1Hh:$,# Ip {qar r,qar sel,Q rruun ueprB,(sed retu gg.g.g t?s,d E0-I66iiia ^rr'r',il;;

"

lecenc ryrueEuadrp 6uef JruInns {qujl

iue8uBru urBIBp Ip rnDInIs {nruft lqlreq rcteqas qelraq ue:p u:leru Z,l = C uolnluellp B,(qnfuq"S

tue'( Iqrulsuo{ {nlun uelEuupes 'ppuuraur detEuurp ,rr* *.ffi3tfq:i1Hdffi ffi Ip rnDlrqs {nlun 'rl,q.,e{ ;s4radrp nlrad LEpp ,rnr"r:Bqel .ednl00€

;};ffiffi ilr* uel'uepas 'pdl^[ 00€ IrBp ,Bseq qlqrt 'e:*i riai,t;t** ,*in "iu"o

e{ueq ,,I snumu

IsloJ,Eqel uB)lnlueuen zl.g rBquBc

F)

duefgq wteg ueeunuered tweptese7

tc)

?9

Page 76: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

T

'|lil$

tnfu,I qlqal ssq?qp {Bpp lnqesral q?l,Su., .lu! rulnq .uBIBe .r88up qrqal E:n,uslurer$ed uqnlradrp enrsarts uutunlEuq eped nsle rTB-depa1 Bue{lnrr*, ,lnrin

rwq laqnr lnnqlp -sru,q

,,IBnI .e,(uuqlnser u,rnueueu ,r#o;Iolr:T[,'"#fH ue8uutal ugrlllltued u{Bru 'rcpuruaru {Bpp qur-urlp Buef uuEuujnl urauprf'an*l qtr'uulnlradrp {spp {ular us"s{lJarud

spru.ral tdr{ alz = t:lrirun rqer uuus{reurad uulnlradp {Bpp ufuge,neq Ip reqel {nrg,- '{oIBq undnuur Plusl {nlYl {fg qggaq Euuf ,,*iurr,, u,rlep Ip* uep ,,*H*- ir.r i"Islpuo{ {nlun ?dht 00, = }uutuep

'ws uutuelnr tuuef reqat uatpeqlp I I leqBr spBd

unu gsl > s 000s2 > s Qozut xon'g'g = s..0g.zA 0ot.g.0 = z

ulur/N 000s2 >:qaloradp e>lsur ^!g'O- Trrp Bdht 00? = ?rttg.ruur 0g =,p *rt rqradp uBpnr,uatr.g,.=

od lrBp rBseq qlqet EuelBe releuurp ueEuap ura*ru JBnI Ip rc1ed rtunqes ualBsrhl

'{qar rrues{lraurad uelnlradrp 1ry ufuqemuq Ip J,qal rnlun uep ('rys) Eupuf [B.,r$[Bru ,,q?l uulaefueu {nlun ueuqtunru',Faqtuetu rq '(uuEuue$ uuEuelnl-uutue1n1 B.rBlrrB )turef IqJfB[ s suas ue3uulnt ugql,;uetuap uu{uualrp uup 7 epud tunluearaq er(ueq z elefruat i*{d"trllp r{BIq "p ,gg

'

urrr 09 = 0[ + 0S = "p :rutu 9I < iurrr 0S = 0I + e| = "p :ruu 9I > rt

Bc,nc ueEuap tunstuq uetunqnqreq ) ,utuu,u rynt rp r,led *rf;'fi:"H':1JTf 5 detlrugrp ryuq tue,( uaulapued uu8uep'unu gg > o4 ueEuep Ireqlt("crnJop qr* Ge,r*tunstuel uetunqnqraq )ppp tue,! ueEueru tu?lep Ip teled r{Bnqes {qun'Euare>1ag

'u?r?nsasreq lul snrulu qenq Bnp u>leru 't = | unpepuu8ueur Jr(p[B.ral sn1g11; EpBd sng

T = z{oIBq{uu-l

"rp t'ipz| T = z rlad)truu.1

ln{lreq reEeqas srnlp tudep B{Bur 1n[uq qlqal nefuqrp uelu ,nJ\'! = , snturu slrg

ur/Nhl s7, > ur/Nhl g'lz = uru/N @tIZ = SLSOI'S OtA 00].g.0 = 2

zwstsol=#.s,oL.z=vunu g,OL = SC,.+ + g + OS - 'p BcBnc r.qnruEuadg

ur/NI I 0E > rrr/Nhl L,6l = urur/N 0596I = gt06 S.09A 00D 9O = z

.w sLO6=#'5'092=Vurtrl s'09 = sz.+ * g,+ Qf = "p uetuuru urB[sp tr

nrPpeq uB)lB .BdhI 00? = ^{ *3n4 uru 008 = { usp I =, 'unu 3 =

06 tuqEues t[tu g7,=d6 :*au.p rirrq *tuelnl {nlun

99utnanqanw Jn tEr

Page 77: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

T;ii

'uernpAusd 6ue[ued 0ungrq6ueyl gt.g ,equBC

)plal uutuap usllalJeq .ruur ruepp ws Eufrel leruls{Bru Eqe.I II laqB;

,,lutu '1u1uos!roq ueEuuqurresal rperra ,nav .u[eq {rrsr ffi:#:|,i$,tr!;fi:ffi senl ueEuap Bur,s lrlpues nr1 ilrarq qelo u?^re1rp ludep alei'Ln,rr,rr1rru efeg

unl'n,la{ [e1 Suquq turlrla>1 u,rlln,rp .,ptrsual tu1[ uepeq Buefued ue8uap Bur's H (uotaq lrsp r'nre{ nrr Eu",pq unreqas uB/,.BIrp sru'q Bue.r( ufet) ral8ue ufet rqor tu,rrara tue'( tueleg uupeq qn nlr*pnd qn r- n6.r1rq iu, tn{rr ue'ue'er elrg .Buqeq ue'ua EuJglalas uolee eIsluB uBlB{el qalo uBrIsUp Jul e,(ug .FI tuqeq Bpsd Efra{aq p 1pa eIer: IIBnqas '8I't r'q.,sc epud ue>qnfun1p ,ur-rrirq"Juolrq {otq q,nqas ur?r,p tuerpuel tmi Ie8tuq Euq'q q,nqes rlEnuguil ,orrnr edanqaq qrlo *r1n u iir,rumprued tuefuu4ueEuap uu:p1u'(urp tue'( nlueuq uBurBIBpe{ nl'n! utEug uor"l rrrBIBp ;HffiT*Tffi 'usl,{r rnpre., ufuqnuadas e{et uelrnJe[uaur ted,p uutue*l_tuqnq rrav .r'qal dnlnc t'ei uolaQ dqnuad uep'ueEuelnued uuEuep uoFg s-r",u, Ip {IBq tryr uelu1a1u,(uepe

'qnpadp Iul IBrr uruefuaru {nrun 'urEI uBrIBq e{ rr,rleq u,s IrBp {IBq tuef erea uernpr(ued lp,ga eredns u,)tuq,snlp nlrad r1i.u 'uotag urarrp rruqnu"d.r r*rr rfr.irq Eurps uetuulu eteq Euel,q su,Illlp tlsodulol ue,{Bq ru'eqes >Jreq uuEuap rsEuryraq tedep a*t*rq uotae rutvuelnleluad 6ue[ue6 .6

'tuu, 00s qBIspB 9'91'€ IBsBd gGl66r-srr lNsxs r.,nueu p.,r$pru uu8udlnl urque lurefio-roor-srrINSxstunueuIBulIs{BIuuetue1n1eJque{BJgf

00ISEIOEZ

ssI9ZZ

(l ssor t :1;:,3i:1. i :r_

ruru 9g < _o0 ruU fn' turu 9I >

q0 r?nl 1p

IetaurcIp qnmlos {nlun urBIBp Ip

L

trot?g

ruu91 <46 ruq1prutu 91 5 af ruq 1p

turu 96 5 o6.ruepp,IpIslEB.I --'

l;,r1uauru,{sra4,

OuEnyq uopg ueeuwtared rmepr*seo99

Page 78: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'sElB uEouelnl 6uqeg 6!.g .lBquEg

'*.r 0oz nqe ^{'od t0'0 p,p llrer qrqer qeroq {ep11 ,r!r, .oo ='_

lqpeq p8eqas qslraq ueleuauroJep Eusleq-3uqBq rnlun '?'I rgsaqas lpEuad roDtBJ DtBIreq

"q, *rErq *a*in1rruu--.

oo 'ruru oo€ n 1, ^!-=c

-l rBsep uernpfuad Buefm: 9g'g epedrr'p llrar wqer qaioq )rspp ,+ V 20.0 =

tffi

:n,f,lreq lpsl u,qeqra Bue,( urrr 9€ > rrroJap tuaeq {ruu-1

'e[uq uBp uoleq nlnu sras tueleq Jeleu?1p epud Suntue3raq {Fel uetuBlu IrBp e, req uamp'(uad tuefued {nlun IBIIu-IBII, unllraqrrlew z'g'e [BsBd E]I66I-sIr INSxs '1u,(uuq letu,s lnqasJer tueftrud rr*lnluaueu i*r rqE -roDleJ Buernl 'Fqel ueEuap tunlrqrp ludup )tgpp uarnpfuad tuefued i*1rru usp uslnpuaueEuap eEnf ruadas 'te>lal uutun{e{ rEuerntua,r, triturtr, *dunq*s ueEuemlay'

'6t'g rBqurEc upud ruadx (utEuor) tuosol Eueru {uueqrel red4IBqq tuer lglu?I nqB rolBq pep sqe uuEuelnl qB,rBq p uolag rsads uaepeurad lBqlr? s{El@'uBnc? rus?p slu !p r.uu 00g pep qrqal )1elalrq lquosuoq ueEuulnl tusleq_tuqnq ,ilg

'

;fxT{"J,ff,[i [?d,I,,H3 ;:uped3un1uuEraq,",H}',:ifr ir,ffrffiHr?f,ff H?"ifr'r_,;

ir-i; 0I = o, n"lt l'O+ = '{*t

ueryrsuqEueu u,,l, @'u uutuap lt,qp ,orJp ue,u*srad uBu,,I u,p lrpl uer8eg

3dI4[ tuBIBp uurylfi1p Euur( uoleg 1e:Iel uglg6[a{ = ::sdhl urBIBp ufuq qa1a1 ueEuetal =

t;urut rrrulgp ue8uqnr Euq?q JeleurgrD _ a

unu ur?tup uempfued tuefued = ,l

uBtuap

^{ {"0 ul) = '!\ou).'tptuqas um1snurn46

'n':

.i

,ii

JL9urilaHuqry nttfil

Page 79: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

T

.BusrpJ,Jelatuelp uep ufuq nlnu uBJBtu-tueceuuaq rnlun u,(uuurn1e,(uad Buefued ue8uap qu/heq srr sele ueSuelnl Isq'l-[eqo, ederaqaq u'{unlueJlp I66t leqBr u,p {u'rc n{ng .,,l'q '9 qBB tuulsp rnfuul qlqol seqeqrp uule und Iu! IBH

.efeq ue8ue8at eped Buntue8:a,r Suex {olsq Suelueq qe8ual-qe8uai a>r uernp,(uad'grrruea nrrn, ueln,adrp uenuar{Bo-c unlaqas 'u,{Ilueqlp uu8uedel ue8uelnl lrep qe8uales B^\q?q '*1!grr1p oz.€, requrEt BpBd 'ueuotu setlsede{ uer8erp ue8uep usltenses1p tedep ,nd,u, uetuelnl'.BueJn+ra.tedep ue8uelnl qelunf unp ,-nu* niuuruoru .uvue1 a1 undneu lrpr a{ {IBg '"y qelepe luls Ip ue1n1-radrp Bue,( ula*1n; ',,rur$l,rr ue'uefu uauro(u '{ol,q tu4uaq qe8ual-qe^8ua1 rq '9 q,g .uulup ssr{Bqrp u",t' IuI

-efeq uetu:Ee eped SuntueEraq uelnlradrp Euef-uu:nlxrra'aiu!'ue4-.aurinauau tue,(-ueruour uetuap u,{I,nseslp uPp 11ca4:ad1p tedup ue8uulnl qBnunf 'lrpl t{slaqas ar uBp u'u,t r{Bi6qas e{ uo*r ruBIBp uer8eq u,p r'ln., "r,'y ue8uBlnl Fueuaqp:e1nd srrr,r{- qrtua uundunl Bp?d

ue r se q rr B p r B r n u B r p s sr er ,I?_ -;lil,li;

;J, J ;?#1 ffi ::f _T i:1?, :'J :?3 #",, 11 H H uerSSuna{ uBq,quBuad eua-ru1 iu.nur* IrH qBIaqrJ to_**n8jj'.uolo{ ruer,p uelEe; Suedureuad eped qelepu lBrurs{Btu efeq ue8uea.irrarpuau Euu[ ue8uelnr Eusleq_Buqe8

'(*y) {oluq sule uer8eq ue8uulnl ueqqlp srueq ryra e,(et .(gH uertw- Sunfn uendunl BpBd .Jntuel uauou *nrEn,p tedepral {oleq reque? r{B,11pq urrEeq rq

u,p tuolol uped tldala1 efuaunrn nres Bue( ror'q *r"t#rt:ilH:f#:'llrir::; B{sru 'P1 uernlefuad Buefued uelnlueup sn,'r{ Bue,( Bu'ru rs,ror ruereqtue? tedepueru rety 'efeq uu8ue8at ue8uap Surpueqrr un n1i,(uad iuefued n^qnq uedeaaue uB{russpraq IuI, *'V

,nr*hr .,-q..^- 'ue8ue1n1 selJeq ledep:a1 elrq '"*a,, Jol{BJ ueSuap rsrnparrp qeloq ue:n1e,(uad Euefued .rnrnn{r{ ueSuap usll'{ra8 .V

'resep uernpfuad tuefued depeqralz'l = 9'0 x z r,saqas rlu8uad roDlBJ DlBIraq rFsl uBqegrel qe/heq uer8eq tuauq rntunue>l8uepag .9.0 oot

= M rssaqas rol{BJ l$larol $Bns uulderatlp e>leru ueldelalrp ^! o"p

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Page 80: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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Page 81: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'qnued udaftol uBndunl uEouap pal 2., reque9ruBqaqlo

'seqaq ndurnltp !da1 t.p req,sq

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Page 82: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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Page 83: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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'e6np.rag ryl uqpaf g., JequEC eu:cuarad slllJoal BJBces undnelza

1::i uatllotu Inqurp Fdep urBrrzua ttre,( lgt- uefeq uped ?TBur {oqrual sBlE Ip ugqaq; eped tuquetraq :(g.y nquog) ioq*a ursfEf

efursrs_tuufuedx ugrrgual lelad qrq e,(upsg1'stn{,etnpra1 :tel ualdat orrn"i.rlp gqdural'uer8uqas undneur qnuad ualdaf

'optrS

^{oleg r8oluue ueleunttueur au EJIq lolsq Eusluaq lnqasp tedep larnd qg:;

nuw ol., rBqtuBC ?d furaas telad fsq tuefpq

'??'V ruqr.uBC eped uo11n[un1p tue.( fura* uendunt qalo fu111ta)tp nu1e amlus 1p {qalra tuef uurEuq nr:r ,iurnrn,g .Jeue1-te1ac

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:lda 4tund ueqqal

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teduaal tuefuudi ne1e rrgrg", tuef IdA enp Euufuedas srueuilrr ndunueu 3ue'( telad epud squql, rq qrq ara urllgrqp tuer uspu,cuarad uetunllqrad

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Page 84: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

t '(1louotu) sllaroel Oueluag Z.t rsqueg

'srueuou, geged speloel Ouelueg g., requeg

@)

oOOe = 7

'@7xZ*7=':8'' rDqutoT ,ottn) lnqasr4 lusnd e1 rsnd rBrB[ IIquBIp qaloq , B)IBur .uendunl lesnd 3rlesnd {BrBr IJup rgsaq qlqel (a + l u11qedy ruled plol IBqa { uep qlseq tueluaq r{Blspe : uetuaq 'rt +7 = 1 Euqueq {nlun uunluelal uo1unluuJrp lnqesa psed urslBq .tltle' psedINSXS upud uunluuq ueEuep uu:ln1uel1p rdep sparoq tuelueq u:pur .tuelnueq uoFg uetu+up1 tuef uBrIBq IrBp lunqrp tuqnpaq uopq 1eld uelaalrad e\f .eL., rsqurcD lsq1iunu 0OI * 7 = 1 deEtuurp .plad u?qrunlesel IBqa0 IIBI pnp IJBp qlqel lgtBq ruqal BIIB

a1 rsnd Brsru? rryt uusuap BuBs desruerp nor:;"{ii:#'?"x*#,5t-J=',fir1iHIBqal IIB>I Bnp pep 8uu:nl ner'rlulapuetu -rrdruuq uelaapad reqal epg .Sunlnpuad tuipu,;nBlB {ol?q rBqel uped EunlueS-req I sllaroal tueluaq Suefued 'uer:lrulap 1uq urBIeO

'Eunlgrp nlrad 1ep:rur uer[slalred Euefuede,nqeq qqsulef1u1ad uutuep (tglouoru) nlefuau tuuf loqural qnnqone1e Euslngaq uoleq {oleq rlunqes n1ufuaur Euef 1oqtu4 qunqes nele EuBInUrq uof.q'1opqqBnqes uopdrueu uoFQ rled qgnqes uulgaped ?Fg 'rrqnlrdlp tue,( urlaaped awlnalrrBrylueueu Euer JoDtuJ nlBs rIBlBs uelpdruaur .slBq

luadas Eun:lnpuad uBq?q wpnralloguq qgnqes zfqusr.ru 'uru1 Euu[ rnDlnrs uauodurol ssrg Ip {BlelJq r"fra ,1rg

.@., nquog totpfi EunFdupes upud o uqqalred tuefu?d ge8uales uutuap qgqurslp uundrunl ,*ryurl; torpnBnpq Erslue ? tllsraq Euelueq ueEuap Bruus duEEuerp 1ul IBIIN '1 uuEuep uelplefqp trrgi'sparoal tuelueq ueuatued uuluuntlp tuelnuaq uopg rlad uetsuBruerad uetunlfpj*frO

lBlad nlBns slloJoal 6uetu og a

8Ltqedl.ann ntgl

Page 85: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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'zt pqBl urBpp logurlsloqurls 6., ,Equec

uEndunl sPlB !p snrauan

'(1r1ouour lepg) sllerool Euelueg g., .lBqureg

Pt BqJapos 6unln uendtunl

-

de1e1 6unfn uendurnl

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[r:H ]ffiI .iuB{rBsBpreq tedup Euelueq Inlun 'ueruoru uarigao:1 ue,un3tuad :

Ileur uuqeq IrBp IIre{ r{lqel fle:l BEn sruerl dnpg usqaq .: (rsnqutsrp) elur l8eq:a1 wqeq uapdruaru sn1gq uBqaq :

tuuf u,q,leqesraq suqueq Euefued IrBp r,saq qrqar led11 qq z.I qaroq ,}'J,lfrffffi ueuB{ uBp lrpr rlBlaqes uerSeq Ip reseq Surpd tuef il,{rt.i;ra arrrr"q a*r*J :: r u r q s,,^ Bq 1 p r a u rs -r er' r s,o,:#;TI J;t il'r,tffi: ril? lT, HHL *-: IlBpnltr ue8uap uu{n)lellP tedep tuer ueruoru u.rrg-1 ueluun88uaur ue3uap e,(eg rrnoffi

. uulntuauetu {uun uulurfr8uaur 9.9.€ lused g6r 1OO1-SII INSXS Bpsd,ul uIBIaS

uegeqruad ueeuesred nles ueEuap ueEueqturasar uee.,e*,ad uaJeunE3uaru u{uuu:1*]}: BlB', 'u,nduni uderaqaq sete Ip retulaE ertupsJru .n1ua1 ),"l sllsls rnDlnas )tnlun

0=hKuep0 =AZl0=HKue?u*sred wnq u8q ue8uap un,pruqrp u{et-ufet lsnqglslp .nluaua spias rfiifi:Hil Tltq.l erlu,Ia., ueEuap nnl, JeluJJ s"tlsJlsBla poa ueauap'uurlnrurilp l"l Dlnq ur,I?o

'uendtunr edareqaq ssle Ip rutelet *anq* dn**g tedep u,(ruuuaqes .(quru ruBs tuulup uur{Buau) qere ntes 1e1ed urslBp e1e?-e1et Isnqu,sleqBre nles letad uBlBp e^e6_e^e6 lsnqlrtslo .s

Ouqnyea uopg ueeu@ueJed Esep+Esw

Page 86: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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"11'uBllqreq Suer teqa ueluunEtux

uetuep tunlrqrp tudep uu>1n1radrp tue,( ue8uulnl e>feru 'ZI laqel Fep tedeprp uendtucuauotu uep ueSuudul uauroru u,(uln[uu1a5 'uuEunlrqrad tuepp llB{ral uBqeq JoDtsc

:(z q's #'il;-lJ lr^i **d rlr66r-srr rNsxs rrrsrE?unluucrq tusx I'Z't snuru n>lulraq BuBqrapes tueI wlad 1ruu61 .tu*i[tilr[ *o.* -usqaq usrpntuel telad lgqal uep tu4uoq .sq?q terBfs-lB.rB[s uelnruauaur qBIelaS

'0I., rBquBC uped .rrp uerterp urqE?uelqefurp zI Ieqer lrunuau teled SunlrqEuau rnlun uolnlradrp8uu,( ueler8ar

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-

rrEpnsBqBqlP tue,( telad uu8unilq:ad lnrun 'efurunlaqas 1u1ad lgqel uunluauad *p ursunluna)

'0I IaqBI upud uuldqalp qglal Buef ue8urstuelal tere,(s-te.rc.irLrEp ue>lludep1p rut 1uqa1 'leled {uun

.u1nd FqqaIIp sruer.l tulad plol pqel Bueurary

,,rBur.Fq,,a{,oua.,o.,rsnqrrsrp*pa*u1x?HrJ:1iB#ilJ:rg,rff*Tl*:Ti;

qere nlEs lelad-lE1ad 6unllq6uau Inlun rlte ue,r6e;g .,

ll

+

ltY---a v

!tt ttT

rrB?trscuared IeqBI uBp

9L

.$.1IoqBI tuutnuagus)ulB)llp uetuoru uelsuaox zI

L

uolag

Ia(IBJ {gE"r9 n)lngtgqD ,'fn

plod{unn ntET

Page 87: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'Bleq {oquel BpBd seqeq ndunlrp {nsruaq re:rr-Gwl/S\ oopd vdyl ovz, = ! efeq'rcrry,r,

(rtuc731 osl) ?dlll sI = ,/uoieq

nmp*,I I.t rBquBg lrunuau rBluBI rpn_

,;:;:ruueEunlgqrad qoluoC .S

,,,'"1 ffiil,,lT*{nrun) L req,r ueBuap r'nsos eslpadrp sruBq .uurnruerr,

ff: I:}:},"i tH*rHI-t'1egad eped ue6ue1n1 6un11q6uour Inlun lr;e ure.r6epg 01., JBgrusC

ueEuelu q1p4

duepuq uopg ueeueouered ! esep-rese79t

Page 88: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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lrf

(rutl OOf) urlpt 6,i = ,1",n7 = nf,l

:ZI IeqBI ueEuap renses uuryedeprp eEnpral {el tldaf uaurohl(rutl 1gVD rupl 9,ll = z1,l.E,L.l = ,ln,t+l =

nl,,l

,rr',ffi:,TJT"::Tlr.#',*,ffi:? ;

(ztryB:1.g€l) zulNt e,L = S.I . 9.I + l,? . Z,I = n.rl

. zulrer r,r = (pe*,'H'j$1il;;:

IBIUBI dqnuad luJeq lrep or{

w .s1,0

= Irrpues tulad lBJeq usD o,r{

'n g,l + qar

Z,l = n,A

.uuqaq-ueqaq tuulH :

ruru osl = r/ wldlp Eue,( relad PqaIurur grl = !9-= = lc

srurtvr - ooo, = T = q

s'qaq nduntlp lurad uep Bdh[ 0?z =? {nrun .0I leqBr ,-"rr#Jll'Jfiril',ffi .lu1ed pqal u?{nlual :(ruc gOf) urtu 000, = A?Z.I.Z + 09LE = I

'usndurnllusnd a1 resnd rBrB[ Ilqurclp 1 Eu4uaq {ruun ',lsq {oquar eped seqeq nduruIp l"lad

Sueluaq tuefued uep sqeq lerefs-lerer(s uqntua1 :

:uu8unlrq:a;

lq rsrad '(zurpr 0s) .ury1rq s.0 =_o,'. r,ru,r dqnuad "i*-,"?"Hi;?rT}"ffir.lT'fl dnpH uuqeq puqeqlp relad ulrq .ueEuulnl qelunf uep uelnlradlp-a*ijri"i iqd G*rrr

:e,(uqrg

']t rloluoc pEp lBfuErl ll.r rBqurB9

zullQl S'0 =zullQ! 9't =

nF, ld tttqed{unll

Page 89: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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'O r.lrlqlgd i ,urtu gLe =,V:rtequad ue8uelnl

? qonlgd : .urur 6lL = FV

:ueEuudel uetuol4uuEuelnl qr1p1

efupurlsleu Euu,f J,qal uapunEEueur u,{u,r,srp.sele uur8uq uetuuef ,r"rTfi;31 ledep Suuro ueEuap uslp{reg .uelntuelrp npad-1eplt und uEnpr4 {el tldaf ueuou {n1un rEequrad ue8uelnl .eslpadrp nlrJ >fepg ,*i' .eEnprel {sl tldaf ueruo}u >fntun

(zutc l'Z) zuu I.tZ =sOI . n|t-Q.0.I .1,100.0 = egl

. pq. d = n,y

(uu41se1o&atulp) 4100.0 = dIeq4 lrunuahl

. zulp1 6I€ = zlzr'9- ' o'l = zPQ,

6T- = T u8npral {ut rldaf uetuohl

nele 1u1ad IBqq Ip{ stull qulepu rur r8zquad ue8uelnl IrBp .uu3uuef

,r*rrr"Hrffi(.ulc 4'€) .unu SLe =00r

=v

(zur 6'e) zuu ?6t = 002 - 0l

(zur S'l) zww ISL = 0SI - ZI

0sI

uu8uedq rp r8eqtuad ueEuulnl

00r ,ffi.' = 'V : BdIAi 00? = tlnruq

00tfu = 'V : Bdhl UvZ = tlnrun

:(nqns ucp lnsns uetuuEq Fuep) rBequad ueEuulnl rre)tglpesp stugr{ Brugtn uu8uelnl dupcqral srunr 1uta1 q,* *=1np izt'gl'g [BsBd E]I66I-str INsxs ue?uap Bnses

(.uJ z'L) zttnil 6lL = g0I 'nzl.g .0,1 . gscg.c = g,t . pq.,pd =r,y:e8turqes.u!-d>d

@ pqryolgil Z?260 = ry6(l pqol lottl) gSO0.0 = 'pd

(uellselodrelullp) 2500.0 = d

'(e'z'suBeuucuered leqel uup {UBrg mlng lur{lD leqet lrunual4l

au / lel os6 = zna:9. - o'l = zPQ

g'lr- - T

000I ' SZ'O

IeqBI Suulnpeg uoleg

:uutuudul ueuoIAItrnil ?Zt = ZI.+ - OZ _ 0SI =

rO.+' _ d _ I = p

- , :p JpleJe fturl tIIuI Zt = ,, :etusln ueEuelnl rctaruBlp uB tBJplredruur 0Z = d :g tequl ltunuetu uoFg dnnued nqe1

,,tuoslu=ffi$rffit

fiuenyeg uopg ueeu?anod Jesep-Jeseo

's

gL

Page 90: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

Tlli

'Ll i{oluoC 'ue6ue1n1 JEqurBg qzft rBquBC

'![ r{oluoc'r{B^pg uEp sBle uq6eq euqn ueouqnl oueteq lelet uBp 6ue[ue6 ez]-l JBqurE9

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Page 91: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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Page 92: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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Page 94: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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Page 96: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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Page 97: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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E {queqreq yprt tuesedrp nslB .IIB)I lraqlp Euorodp Bue,( Buclee -yi:#tr:} 'tueqnl uwlnq BpBd Igter qeEacuau rylrn-.ffin uea,rptnl uetuep rufufas tuesudgp tuel uBqBqlrcl tusluq-tuquq uetuap ucpsesueduo{p (Euoroiiar qelaep ruBls? Euerq-tuelgg

mPo nEEueErq tue'( Eueleg-Euuteq B,rIIBq prurs uapunEry an lt,eq*qur"l ueEunlruad edu"t uB{BpBIp rdup pq ederaqaq urBIBp zurru oot x 00, etEqq Euuqnl u,,,lng

^--c,,-^^-- -,.- 'tueqnl usqnQ rleEuerqetuqp Bpereq lupn rzt: turdures e{ uB>plolguegl?

ledup 1uI rpreup tuolouaur tue,( uutueln; .rIBI?sBru uurpdruatu )ppn zlrnu osl x osl uEtug lr'm{,,eq Eue,( t,uqn1 u,slnq nrns .umun BJBcaS .efus Eueqnl^rrsalnq uerru1n Jeseq BpBd tuntueEreq ufueq-:ppp nele u,tuulnt lqnreEuadueu uB)tB lul t'eqn1 *rr..i rrB4pnq,,l rIBtBdV .tupsppq (qtuu) mquret cped depuel u*mlIn rrcsuap uu:r,[nrt*rp t*o1u'pf.,orep i*qnr rr,s:[nq uuernqupdlule(I 'tuelnueq uoFg rc1ad tuulup suuqnl uuulnq {nlue$uaru npeddques {eqgrd ur?pc

lelad BpBd Eueqnl uBB)tng .g

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Page 99: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

6ue{ seleq lererslere{s ueouep qBrB Bnp leged 1n1un uendurnl or ugqoq ,*ffi}BaaTrryf*H

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islgr l8eqra usqeq (r:Brefs udereqaq Isqeqlp rur leqq uurapurad .srueueru tuu{ qeru-nles teled BpBd rueda5

',(-qere Ip rBqal raoaru rad (puaplsul) e8npral rp1 rldef uauour TIBIB,?r-qma Ip rBqel reteur rad (lpueprsul) etnpral ,fo ,ia"i uaruotu &ir; :{-qur? rp JBgel Jelau .,Jd *n*lstgur nendumr ueurour TIBIBPB

ir-quru Ip ruqal Japru rad unrur$lgru uendtunl uetuotu TIBIBPB!(-qure !p ,,qel releur rad urnurr$pu uuEuudq ua.,,o., fii, lr-qe,, Ip r'gar relau rad runun$[Bur uutuedei uauoru &ir;

-turseu .rareru r ,Bqeres rnpfepud uFa,r"! rue{ *"Jf;ffi#ffi[l;ff#firT,*' 'rI leqsl nlPr('qere enp leled lrButrucuarad uup rlrgr* rppnruradur. ,tn,* IeeA uqeun8rp rcdep utnf'uundurnt Bnp IrBp qlgel uped r-ruro, tuef rIBrB nrs rulad uped

Iuadas 'uuel {Bl sns|s rnurqs IIBtspB urqia-iraueal upud ndurup tuef qBrB Bnp lglad

rlBrB enp utetBp uBrlBuoru 6uert plad .z

:nlual )[sl spsls JnDInIs uutuep usllBlJeq rE tl?lss,rrr BuarBI IUF Ip s,r{Bglp {Bpp runEyd mpfqe1o ,u:lnpadp iue,( 'ea,einl *h"*Flr.d )toquq usndtunt a:1 efut-u.(et uulmp{uaru e,(t4nirmles lul mtef Bnpey .Z mpf qsnq Bnp 0I uBrFnpslp trBlpnu-e{

! *fr[ qeto Burlrqlp rreqaq-ueqeq Isnq;qs1p ugp .u?n,,nq pduraIp nEtuutrat (utnun tuu$ uendurnl a1

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'eL qoluoc pep lg|uq oz:? ,eque9

N5-ol

T'm

lill

lil

rill

ffi'

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(ztuoF>t osl) Bdhl s[ = Tuorrq unl{ '02'? equr,c l',nua.,, u,l'.,,ersrp tue,( Idal tedu,, "pna

ni*n1rp'r"rq:lnqqaTq

il tloluoc l,gue6unllqrad qoluoC .g

enp tqad suntg8uau rnlun elnd nlelreq 0I'r r'qu'g uped -rrp --#X?# ;;ff,ff ',' * nr* = i' ** "n l'sz t roDteg iedep:a1 ntl

"rrr"X .sz.I rop1ug uu3uap ug:ilPlflp

6I', r,q.,'g eped PlIu-IBIIu'e[utda1 rpud sruauatu auei fi; {nlun.p1 laqeg @ m snsu:t ue8uap rBnsas 6I., JBquBC BpBd uendur_nl !s{?ar n{Blreq sgqaq ndunlp tmi Idat {ntun B{Bhl .SZ.l reseqet ..r1trprd,, tretu:l8uruad roupy ntrn, ru>puretu uuEuep uultur: -Itfladlp qtal qgFps e{uqrue8ued 'rBseqr"l ti*i rldaf uaruoul *hurp ledural_leduat gpedtedepr4 uendunl Iq?eJ B{Bru .Bruas

TBpp ldel enuras eped uend1llnl leJu,(s-lelBr(s q1g'(cOt't nquog) .', . t* jrr f -n-lqerr relru uetuap :lapuad fluefi, rdat uped etqrEas {nluaq uW (q6t., nquog),, .' rrr {i';fiffi}*

ueEuep tuefued tuef ldet uuFsq BpBa dr;;il {nluagraq uaprelrad uped rs{Bau

unqnlunllp Bu'rulBEeqas .lnpns redue eped ogp lnpns eped ,Frr&r;3t;1#ffi?rffi uetuep'.do1duru, rnluaq urBIBp uulqefurf ,aa*ra rri"a ryrun u'qaq uarnpfued BIod .6I.,

JBqUBC uped uerynfuntp uBqeq-uuqeq ue-rn1efuad elod s{Brr fldana nglB seqaq ndunua ufuludue-tudueal nlIB,( tutus lda teatua tuefuedas uendurq lurufs-lere{s upg

turpueqp I{B,, Bnp rlad {eun "paqraq uundtunl e1 rlad ,*, *oJH#Tr}.T*:t'*

^r*l = Eto:(-qere BpBd ir*l =

qut.r_rlule epud e:lslt

et,es_durEu'prqs,o,**"ffi,:TfT":ffx,';Hl#.HTr*.'#1H#;;mr,,ffiqnreEuad u*tEuntlgradp etnf rq piu:reF

-,lereq .umu,r$[,., mluq ue.,ou depeq.re u?ur? tue,( pUu-tBIIu unllrequraur umt" tI laqel .ppuedrp 1uI sutuq prefs_turefs epg

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Page 103: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

9'I =

OqrUq uotq ueeuarwnd t*slpresuO

zull\pl g'0 = uuresalefuad uusldul IrBp rdeprp om

zullQl 8't = tz ' oz'o - Irrpues tulad l'rag lrep tedepip or.

'o g'l + q4{

Z,I = nfti

:uuqeq-uuqaq tunllH

uru 002

'uIur g = s6 .(-qerB urslsp uBp rrru 0I =

ocx-qBru urulup uuryr5:p9drp Eue[ Buru1n ueEuBI$ Jelauelq

urur 0, = d :(ruu 9t > "il t,leqel lrunuau uoleg anrnurf,uru 002 = { $pd pgal

uetuept tunrlH

tu1l.pl['€ = E,L += q*I =^r. ruN{€'gl= g,O?, 1- qutl =

4uturpl E.l, = fi,y . E,gI . g20.0 = .'rnr,'g20.0 =

,ru

UINH 9'02 = &'l ' EgI . 6[0.0 = ,'fo 6[0.0 = qut

,, :rutuqas urryuduprp I snsu:l {$un;

eped p1 IeqBI uuEuap runses ue{nlualrp uaruoru-ueruohl.uulnluauaru tuef uauour-uaurour rru:l$uel

(ztul3>t 0€9I) zultel €.9I = 0.9 . 9.I

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'quseq uuturqtull BpBd pdupral JnDInsS

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+ g's ' c'l = n,A

zullel 0'9 = 1,t

' Flol oa

0Z 07, un=m=rT= q

tulad runrururu IBqa B{pr, .ruur 9969 ='1 >1apuad.rr, ,"r[ffl'r'rfi,'t#:ff-;

rulad pqal unlnlual ;

09'I =

trrru 0019 = A7Z.I.Z + 0919 =u.nr 000, = 0?2.1.7, + }gLE =

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:uutun15qra4

'(zurF{ 0g) zultQl g'o r,seqas ueresela{ued,uqde1 nl,ns uup (rurpr 00g) zulrs[ g.g dngqugqeq pdupuau leluul e11q .uetuepu qEunf eues ueqnpedp tuei ;;iJ pq.0 ,A**1

:rr(uuXq

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Page 104: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

(zurc 9'3; zuu €gz = sOI '9rI.0.0,I . 9100.0 = oI . pq. u*d

= "y:rc8eqas uuldqelrq

sI00.0 = II00.0 . + nuw.(l pqDt plilil gI00.0 = uru,6

(ueryselodroulp) I100'0 - d r7.g IaqBI lrunuahl

zu/rd{znE=ry=#urN{ E'L =

&n(-qere urEIBp uetuudel u'auo61

(zuc€'?)zuu?E?=sol . ssl.o.0.I .g200.0=g0I .pq. d= *y*d>d>q*d

@ pqot ryttlt) zzlo'o =wd(l pqot tmtttil 8100'0 = wd

(ualtselodralulp) gZ00'0 = d'rZ'S IeqBI tuulnpag uoleg uBeuucuarad teqel upp )tUBrC n{ng lunuahl

zu/Nt ts8 = zss{g-' o'I = # 9'AZ "iuIIrpI g'OZ = \hl

:r-qsJu urelep uetuedul ueruory

'b "w ! uenlueued ta, rBqutBg

'tZ'? ruqu?g BpBd 1uqllp pdBp uutuepr IrEp ryla-l

rrrur 9Dt = g.1 -0I -o? -(X)Z = *O+

-*0 -d -oOZ= ^p

:TIBIBpB (-quru ruBIBp p JIqeJe FtuUrutu SSI = 0I.f - 0? - 002 = 1l - d - 002 ='?

:TIBIBpB r-qarB urBIBp p Jp{eJa FtuU

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Page 105: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

+-tursutu rder rnpl"nper uep i 0s'0 reqa, *^""if.1Jffi1Tii:xHffiTil];u?rDrsrrn qerer Buer uuEuap runsas .mp[-rnp,

ffii#f}r?r#'fffX,fiilpdupral u>[prrr .tI leguI ueleunEEuau^ :lqnuadrp srueq tue{ p.rer(s ede-mel

uuEuep Eunlqrp rlad *rinp uuEuulnl epg

'EuuFIIp qelal tuef tetuel pup ueErnalnr requut qotuo, u,Ilreqlp crcZ.r r,quuc sp,d '(se* ueEuqnl {$un z%c'tr,qur'c ueltryras rIB,rBq ,e8uepl {ruun q'Ireq lqz'n ruquug) rul qoluoc ,pra aunigli .IBI4 Euu{ pluBl,{nrun Eues,drp sruBrl tue,{, ueEuulnl Euefuua uep Tztel,speurals'BJuces uaqnfunl W tryZ.tJBqurBC.uetue1n1

u.e:ugqtueo r

'rqnuadlP uterruel 1ul uelerefua4 'v,llrt sZZ= rys :unu 9t > qO

u?p BdI^l Oot =t *du'p u'iu'- *ni ip tslu,I {$un uelur,rsed I I [eq,I ueEuap lBnsas{qar JBqet B$[.ued

(zm I,I) sruru EII =^0SZ -go.:e,{usn{e:d ql*dlO :e8np:al {w rldat ueaueinppni ,anquad ue3uelnl(zuc 9't) ,tuur 49t -= SLt -9

od qelqrpd lruru EL =.^*V :(_qure tuBIEp uanprai ,1nr laaiireuohlGutc 6'71 tww LgZ = sll - g ad r{Blr{llld lruur LIZ, =

ryV:r-qere tuBlep u8npral Iet trdaf uetuohl

Gtuc 6'71 zw,x LgZ = gLI -.g "O r{Blqllld irruur EgZ = kV

(zuc s.?) zuu 6w = sLr_';;r:f .[i[1l,#H,fry :r_r.lere ruBIEp ue8uedel uaurohlue8uulnl qr114

(zuc 0'[) zuu €[ = egl . grl.0 . 0,t . S000,0 = *o.y

S000,0 _ d ,Z.g IeqBJ lrunuel^I

zu / l'.pf nLt = .gll'q ' O'l : zPQL,E 5i

. urNpI L,E = ^ew:(-quru tuelep e8npral Wr rlAaf rrrory

Gw) 7'Z) zww Llz: *gI . SSI.0 . 0.I . ,t00.0 = *,y

(uulrsulodrelurlp) ?100,0 = d oz.s laqgr lrunuelll

zu / NI 6z? = zssl:g - o'I -E.OI -

urhpl EOI =4n ::r-qeru tuBIBp etnprq {u1 tldef uauon

zPQ

5i

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Page 106: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'gl r{oluoC 'sgeure:ls 'sele ue6uBlnl Z sVCt requteg

I r:9 'l

t, n"v 't- ,:;- Irt tr-Y

'El tloluoC ue1eualsD 6uel .r.pmeq ueOuepl lsgt rBquBg

i os'o

I sz'o

pal rnpp

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Page 107: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

urBI rnPr-rnl,f ep'd ePuq lraq.,,e.,, dnlnc ruquuaEud -v ,#",?YmTffH {ruun uuEuepl requrut8u'* qetal s -qcz'ril;; ep3d fE .,* t e,(trpsrtu Jnmq-;:-rr uetuap uaplefurp rcdup letuus i*{ w-r"q *i *i";r.er,}.oi.i*rq rararue,o) {nsm tuu[ ue'uelnl rerunduau Buer mref.ito.p *q*iiu"*luefreraa puern'uatu {nlun '((-qerz uped undneu r-rl*.re,;il'i*olti+ w:dg"p Eueml qeroq rypp uenem slnur.tusplq uep e,(trleruf .ui8urq sruaueru sruerl etnpral {u1 ue1uo1ll lnlun ueturr

i:,l?Hg,,ffif ,:frI$,m*t-mret'P'a 6'77| ".

pg sqryrd arucag .uur 00g

t g-t- Iullal9s-qeasE*@rs :IrBpqitueres wn-di;,-

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qeEuel rnpf upud pdepral uruesrs :(z <t' ,*un, ,,rer qrqe; l#n; tr tunuetrq .', 0s.0 n t, ^l SZ.0 reqal ,rruna.,a.., r-rlp^rp *rrrp Id* mpf snpax

5LL-9

'g] rloluoC ,ue6ue1n1 ,BquBg gdcr rBquBg

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L9

'rt rloluoc lpqBd leluErl tz., rBquBc

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:u,(uqJ6

lIBsBq uuEunltu[ spsd pdgpra mDtnns

Grucpl OOOI) Edht 00? = T eleq $n;^iGuct?\ 0SZ) ?dHI SZ = }uor.q unlt

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€Z', r?qurBg eped uu:gnfuq1p ryqud 1gturl

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Page 109: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

Tt

'fz'n rBqIuBD lagul urupp rrs tEuesrp qlldp Suur( uu8uulnlue8uulnl tpp4

*Ed .",u'r[.I#;r_.?rrffix,: _ %'g r*e,- tuelnuag uoleg laq,r u?p {q*rg qng uetuap pnro uetuelnl 0p*,"1,11 ur;tuelnt u"S;nllqrd {rqun uaruoru

,I IeqBI Uetuap renses ueuroru uarsgeo{

:!nr{n,e{lp tuer uuEuap r,nses u,r,peq,p ruef ueEuudul ;l[:lffi#Lo *,* urur gII = g.f _ g _0, _ 0l,I = "Ol _ V _ d _ rl = ^p

. :nateqes Dplraq f,-qere {nlunruru gzt = g,f - u? - 0[I = "o+ _ d _ rl =,P

:ruteqas qplraq r-qure {nlun 't{BrB Bnp uped unu,g = % ueluq-radlp Brru1n ueEuelnt relaurgJq rrur 0, = d : (ruu 91 , od) g tder *unuau uolag dntnuad'nlueuq Eue{pJrqaJa raaun u,{r,s'praq eruuearernr runrsaffi l*rf;, *ffitituu>Jaururp Eurusrp qerer BuBr *1Try** *1,?#*H8,ffiJillT#ntrffi uutuelnl Eunlrq u,p uqnlueueru tuef ueuroru rr,lnluar ?

QtaF\,062,0 zullrpl'6'Zl = 0.s . 9.I + tl .

Z,l = na

zulpl 0T = lar

zullfI r'r = rz ' Lr'o:prpues relad lBraq r*n rLJniIp q,n.

'n g'l + q,tt

,'i'= no

'rBppruaur und uelnpual rurers Bu'ru rp .unu ,Lt =, uI::J:Ltffi

:

ru.o ISI = W?,, + :IIBIBpB Bdhr 00, = ?{n,un 0I 'aq,r

ue'uap r,nses un.,rurur luJad l,qar .urur 00?, =

,1 nlulraq r_rlers _Lfnp ,frEua trutuedel {nlun

u^u r9I = owv.ET:r{BIBpB sdhl 00, = ?rtntun 0I IeqBJ. uutuap ,,nses runrururrr tsled IBqaJ, .tuur

000, = ,1

rup1raq r_qar" urBIBp lJa,*a*dq ryru61rlad Pqq u,I.,,uatr ;

G7t roquDg ,ottn) p usp q Iutuq {nlun ruu 00?, _ iGz.t rDalutDg ,nln) c wp E lstusi i*un unu gggp = )

:eEEuJqes Euauag pEeqas deEEuep {opq ,"snd ffi#rHrlutuat {ol,q BpBd qnued tldefrq u,p rder {opq-rorBq ffil'Hlff.ffil1l, tuque<1 tuefuBd uup uendury r*ir-i"or(, ,rrdr"; .l

:uutunryq-rq

Otqryea rctq ueeuauand Esl?teslos

Page 110: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

u ?ilriF

'rt r-toluoc upounllqrad uBp laqel Inluag ,2., ,eque9

,ll[ snsBx.l['[ = * t** L,6VZ= ,'1n,A:p lBtuu.l

I

v lA snsB)iurN{ 1.gOZ = ,'1n/A:c relurl

9000'0ze00'0e t00'0E I00'0fl00'0

I IA snsB)ItuN{ L'617, = ,'1n,N:q rBluB-J

111 snsuy i7'1lruN:l i'X)Z = ,'1nrA:E reluu-I

.3unlqrp Bue[ le1ed Fup ue8uelnlruquuE IIBIBpB qSZ'n requreg 'IuI qoluec uu8uap rBnsas tulad urBIBp Euesldrp r-Lqtuer uuEuulnl Suefued uep ledural sllBuers Brgces ue>p1nfun1w Dsz.? rBquBD BpBd

uu8uulnl uulreqtuBg -L

- 'rqnuadrp ulur(ural lul ust'rufsra4 .wtrt

SZZ- ws : unu 9I > o0 urpBdhI 00, =f ue8uep ueEuu- rcnl rp pluel {Uun uelerefsred II laqul ue8uap runses

{qar rBgal BqFed 'g

Ilta

xlul

At'ut

xt'ul

n9es9g7,17,

LZZ

xlt'tufrw

xtla

^r*'lur

II ii-'l = TI

frr'utIt

2U

IIw

^r*'lul

[3t'utrlt'ulfr

wII

tuk'uII'lu

rr'r = +I

I=T

I

szt-go0szt-ga0szt-g"0su-ga0

osz- g "0og7,- (otod.- 80d)

il.J-8.J0;U-ga0su-goo

8100'08I00'0

8000'0€e00'00[00'0e I00'0sI00'0

L,T,

z'll6'?l9'S

I,L

,r*%

690'0zL0'0LZO'O

9e0'0

osz- g "0osz- (ot od + 8

0d)

szt-g od

g7,l - g oo

szt-9"08 t00'08 [00'0

6'zL'tlz'91L,9

z'g

^'* %ss0'0sg0'0tzU'0[[0'0

osz- g ao

o9z- g o0

og?,- (ot od + god)

osz - (or od + 8ad)szt-go0il.J-gaa

8100'08100'0

9000'08000'09C00'0

9e00'0e I00'01.t00'0

8,2

t'v['slt'Ll9'S

s'8

rru%,r*%

vL0'0?80'0LZO,O

It0'0

66plod-rann nilEt

Page 111: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

no, B leu'd nl,s-r{'r?s spsd r,q.,esrp q u'p B leued lpun uutuep; .rc.tr'qurpg :n*r qaloradrp rcdep tuu'( qsz'n requruc q'uep eped uerynfun1p tue( I,,'BI {nlun Bue'}ilr, uurru[o rz I rusages eplreq ,a"f i_qrr, ;pp orrlronap tue,( Eue1eq suefma

T,,3,,,rue,ueqpEuqasto,Jjffi fffiI;ffilfr TffiilH-qi!#:ffi Eue'( {erBf eE8urq .*rsrual,p ueEuulnt- endfui o"*o* Iou )tpp p,^rerau uutuelm g,',m: denes uped elrq '1erez(s ,qnur*.* aeaauerp *"J** epua iruauatu lglad Buarc{ tDra: twl tJdaf ueruour uu^reletu {ruun r_r{u.rg rrrutep qetuel^uendurnt EpBd sae rmtuepl '(-qerB undnetu r-qsrB uped ryuq 'uendunl B{nu Eueplq }rBp ,?f ryret eEEqq E,,,u tu,pp e{ u,lsruatJp elnd rcdup uEnprq {el lJdaf ur*o- ,Brpue., {nlun Eusleq su4u"

'rl t{oluoC 'sllBurels ,ueEuqnued rBqurBg eiCl rBquBC

ol-Nf,

I

I

I

I

I

I

I

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II

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t8I;-l6| _>.l{I

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lgl+

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;5 ---J IBl+ -otOI-\l .

l*I -ot

_._-l oIrl{

I

L__--loFtNi

otstsT

l-' i | 'rlt+3+li;J*+l tr -tr ili

-ti ,+i;l T+,,r ,., 1

EIlIilqfftrt;

ilirl=-- l" os'o< lr i lf;. <,? os,o <

utl i li 1l

L--.$dL r,tr,di

E(,c,.\a

I ur*r *r+ lll,i+

Ouqruteg uolq wataxnnd Bs*?teaqt0l

Page 112: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

Tilt '

'uendtunl uetu4rufefes mpf-rnpf udruaq tuei( unp rteqrp nped rgpp duttuep uutuedq ueEuqnr e)rEE'uu:punEtp tuef Etreleq ErBlttB >prefrutqtuaprl '1auud Bnruas uped edruae tges"dlp ugp N trrFh[ "I ';X rnpf ,pgd ruquretrp tldaf uauotu rrur{sued uetuepq {nlun fequrad ura*p1 1;uup u 'q 'c rnpf uetuap p ugp c leued {nlun elnd n4epeq Burgs tuer pH .c rrgp a

.g rmp[ uped qnd tuusedJp 'g uep 'g 1g 'v mpf BpBd requeEp tuef Eugleq-Eusleg ]q

rr"*'r[ rloluoC ,IpclBd

;quq eped qB,$Eq ue6uqnue6 crg1tJequreg

I

I

I

"-i

li' lt

--lI

I

I

I

,;f- -l?lr NIgJL

tql

ogz{ o0

3o?NCtlo

I

I

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*+TILei

I ---

'osz-or "oll i

k--?- i f-?-''qtsl=

1 -!li

$ :1jli

-LL:_JIL

Effi lii-f'cr, ogz-g o,

t ,"-;To3+l&k<,'rlll

----r lL-,-

r0t

ogz{ oo

tqpdTurrtruTrl

Page 113: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'(o1nd I's roqtuDj lDqlD {ol,q r33up ue8uap qBquqJp z qrsreq Buuluaq re8uqas u?{nru;: sruBq srlaroel Euquaq {nlun r..ye lus'd go-rior-srr INSXS rrunue.., B{B.., .upu 3:-r Eunlnpuad ue8uap nlufuau {Bpll )topq ulrg .Sffipuad u:uru, rrrna a:1 tesnd {BrB[ IeEEC,.r u,lnluallp sllaroel Euquaq {nlun z'L't'E lus,d go-toot-slr INSxs ue8uap rcnses s'a 'Eunlnpued urolo>1--uolo{ uu8uap nreruar.u ,nriqrp"rroruq uu>lrepuy -uuldelalrp rrelal ter, u,,ptalrad Euefued quEuales uuEuap-q,quqrp i qt*,rq auuiuaq-uu8uap uru,s dettup sru?q , speroal Euelueq Euefuud elnd qulrrq ,1opq epud .teld lr{_truo{ efqeq ruada<

IolBq nlens sllaJoal oueluag z'u,sqeqreq Euef Suquaq upud e[:a1aq tue,t Jnluer ueuo., uep eErlradas detaum nleros lnqesJel uauou Juseq uup^uuEuulnl uolqnlngtuaur e8np-rej {el tldaf ueurohl ',o,npta. ry, ,ga{ uautort, ufuupe ,rar.p'ur>l'ueqturpaaip snreq B{s.,, .uEnp:a1 p -.ildel u[urpe&41 ue{uq8unueu 1ur uenduq sruef ianrri .rrqrq'ndu,nuat de33uBlp spuoe Eruces lol,q q,nqes ?ll8 'lsBloreq lqlpes tudep 1ui uendun, lrlu,x8unurau Eue,( lnqasrr Isenlls unp BrBluB Ip uuspue{ niuns-qul?pu (lujsrud) uut8eqas'rlafFrr uundrunl .1petre

gJlEunur rypp lsslor uE8urqas .qnuadi,",larf ilaopra ellg {nuad rldafral uB{BlBIIp trolEE 'uulaalrad upud tnpns uerqndrad nuep8uatu 1edep seqeq ndtunlJp Bue[ su,rflopes {olc'

uul8eqas tlda[:a1 uenduuqnuad tldefrq uundunl

:u?)l8uequpedgR Bue,( uendunr re&rs{erBrs eEq ,^"fiH;rf:l Tr:ffi11[l** Itspp nlp{ 'n{e{ deSSuerp uulu uendung 'etnf Fr{slarp nlrad und uendurnl lerefs-lerp.ir rrup uem{n qe{ural loluq epud ueqeq_ugqeq Eurdures Ip {oluq ueEwlnl userrBcuerad rpe6

uBndunl lBrBfis-1e,rerts . I

Ualeq uelep ueauelry ueeuecualad

{oIBg-IurntrtlJnluea

Page 114: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'uBqaq-ueqoq lseulqulox trg ,equE9

'lnqasral apoleu ue{deJauetu w{B rul Dtnq urBlsp uBsuntrqra:qoluo3-qoluoJ 'g'? qug uutuep lensas Euef leru(s-luruIs uetuap ZI IaqBI tuBIBp uaus:ruolsgaol uu>furnluucuatu €'I'g IBsBd g0-166I-5II INS)5 uped Jpetuelp re8eqag

'kq ury n7S nqang)'zng'l uu8uap tuulaslaq tue{ uW a,xz,l uetu;ruulEunlqradp sn:uq uolnlueuau 8ue{ uetuzdq uatuotu 'uetuedel qrunles luun

'(€o pts IDZ'S nqutog)'ng'l rusaqes dnpg ueqaq uu8uap resaqrad:sues ue>luuelrp Eue[ uendurnl ueuu:l uup lrpl r.{B1aqes uelEeq uutuap ue>ltunlrrpadrp sru:runlnlueuaru Euef uendtunl ueuoIAI 'on1'l uuEuap uelEunlJq:adp snreq Eusluaq Bnuas

'k'S nryDD ,nfiil lnllraq ruEeqas nste g'I'€ lussd EgrI66I{:-INSXS ltunuatu ue{quallp tudup unlnluauaru Euef uetuohl 'JaruJI ssllsps"la Foel uet=:utuqlqrp ludup uelqalrad uderaqeq uped ndurnlrp tue{ Iopq ruulup efu?-etfiet lsnQuisr-

IolBq uelep e^e6-er(e6 3snqutslo -i

Z spoJo€l Ouelueg !'S requeg

% z't

%r z't

.11,t z't

orl4 Z'L

tl 9'o

80[wwlunn.ffi

Page 115: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'Jnluar lueqoqlp 6uer ppq eped ue6u,tnl 6unrq6ueur {nlun.r1p ua6e10 g.g requrB'

NVUnxn

E^c'.LI

lxSo >rvrEu-uve; - - l- --l - 'eut.crJJlJll Nvi

--,

-

-- I N\mr Nvgr.ftnnr eNrurH l___ __r

lvsxtu3dota! - I >rt

NV9NV.tru Hntd

| rutornrnr3Nsn 'NVA *rrroffi

[ya=e-rwe=e;NntlI

xo]v8 Nwnxn N\ilruN3r

r1p ue,t,rp *rBI?p uu>rfusrp rur uqrurueq duqqd,q,r rulad uuauqnr *3f"filff*ffi {puepl J'seq slr,E ur,ces 'Jnlual uaulotr tr,tr,Ia.,, {$un uerypadp tuef {opq wtury uetunlgrad deqel-dugu1 uelruo:ppr*r* dnlnc onr-, {i pt.ils f = g ,qrueEuaz ueEuap galEulrag 'auslufl erui-ei,usseq lrBp;uir*arq lutues lolgq r"qet u?rlqnuad

'1lepedtuqueEreq l5 nrr, ,Ii

;;"'J.-r'Lt:::il:1.:]t"3Pas

'1! eped'?unluu'raq ,f n w f|' q'r,ps 0r req{, rnmuar,w I: BAtlrBSeq wp s,qaq ndurnlrp e[uJda1 pnpe{ Euer iopq {nlun qBlreq lur IBqoF

IBIIN if *o-: + =-;;;;tp u'T'Ippedrp dnlnr {or,q r*rn,rn .urnurn er'}as'tusluJl ufut luqpp resaE uutue8q uetundueuad ue8uap ugllg{raq tuE[ IIBlBsBtu ue)llnqtuJuetu tedep nT

' laaup rEuBs arii ueEuqnuad .rrrurora uerylseqtua UBTE lunuruJtu r8tup urterefsrad uutuap *r11*r*ip1p {otug .ua[nlueueru lppp Eupas 91 IeqEJ. upud uqpaqrp tue( {opq uetursEwpii*frjrrrrir-fq.a ueEuap ueiuquareg

s.,,Il rol,q tuuduruuad u,p uurn{n 'nlr BuerDI qato 'tunlJqlp r:drp urq"p"d1[;#]iffi uutuept ertuu .lnqetal1p qqal ueuour Fng1lsfp usp tualuaq iuufuud.qrq 1urufs_urer(s qlg{oleq ue6uelnt 6unilq6uaul )tnlun JltB utBJEelO .l

ENVTN=E gNVrNVd N\DNrN3I

fuqwteg @teg weuaaatedt reseHEseo,OI

Page 116: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'(urBI OgOt) urNI E.OI = {^ + = nn

:ZI lequl uuEuap runsas ueltedeprp u8npr4 {u1 rldef uauory(urE{ 00I€) urNI 0.Ig = zgE.E

. g,ZZ.+ = ,fnl =nn :q,Ireq efurd4 Bnpe{ uped suqaq ndunilp twj iopq rnluouulnluauetu Bue,( uaruoru uBlnluatr

(,ru73r ogzc, ) ,tu/Nr g,zz = o\ - g.l + L,El . z,l - n,r,r,

,uryNpl 0.t = 1,1

. ,Irr/NI L'El = Islol oai

+_.,tu/lr[)l 0'7,1 = )toquJl lureq.lnp oar

,ur/l\{)l l.I = lz . 0€.0 . fz,o = utpues lolEq lBreq pep oar

1,19'I + on Z,l =

o,fl

ueqeq-ueqaq tunlg .;

'(ruc ggt) rutu 6699 = gOE + 000€ = IetEurqas urur 0O€ = { uBp ruur 0008 - , :t1 t 7 = 1 de88uerp tuetueq ru8eqag

'e,(urda1 Bnpel epud seqaq nduntlp lotggSueluaq tuefued uep sqeq lurefs-turefs

"elnrurf .l

:uetunlrq:a6

.(,ur/E>t 00t) ,ru/11:t 0., dnp5l ueqeq uup (urpl 00ZI) ,uvl..pl 0.;: rBsaqes {oqtua uuqaq peq1p BIIq .lul riEtuefued Iopq Inlun uetuelnl qriEr*lH

:u.(ur1rq

'91 rloluoC e66uelued lopg ?.S requeC

'tupq uuEunlEuq ruelep {qelral e8Euefued lopg (zur 0E x lO zuc 00€ x O?Z = q x g Euudrueuad uern:6(zurc76{ AOnd Edh[ ytZ = ^{ nr.rg n1nti

(ztucl&l 0SI) ud6[ SI = ',/uoFg unli '?'S rBqurBC BpBd uu:luuelsrp tuu{ eE8uer(uad {opq rIBnqeS

:lnrlqaT0gl qotuoc l.g

uefunllqrad qotuoC .g

1$!

,{|,

t,il|,

{rilt

Jd90rlopglunn rqryT

Page 117: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

)tolBq 3uefuedas Suudueued uequqrued rpefrq e,(urepueas nBlB uulnpC: Bltq rBqluutrp uele-ropq Suefuudas urul Suedueuad uel8uepes ge3u4 auquaq Euudueux tlslupB Jleque8rp 3ue{ Suedueued .u,(rnunu^ .(Euedureuad'uurnln u,p u?qrunlas., tuefuud 'r{ls:aq tuquaq Suetued) requeE .,,BIBP epu tuer( Is,ruroJul u,{lssJuatu ted., lsnqlp uele tuer( Eupsr:1eq rete 'uerxFrepas uBJDIn lraqlp srrr,rl uetuelnuad JuquBC

{edruq reqtuut r{E^rBq Ip Isluospoq spea uped uopl_efurp tuelaur, ,rrir?'$l?t# uutuulnl raleuurp uep r{Bltun1 .e{uEuid.r, friorur eped requutrp )f?p[ qopq BuedtuEuad .,spp ue>llnfunrrp e,(uuq tuulEuag '(q 'e) Jrunq *dr"p *1aniu1i lra*pr tuepg

?opq ruquet renl Ip uallreqtr>pduut epud uulrequretrp ,g8urlng

'S'S rBquBC eped ueryfesrp lopq uuEuulngue8uulnl r?quug .L

'uu{r{qnqlp {Bpll lear ruqal usuqpaurad edr{ OIZ = t ryrrnIslar rBqal ?qFed .g

'(3tuc E'Z) ,unu. gZZ, = U dO

Z q?lqld i.turu ZET, = wV

Qw) L'L)zuu 8et = st ao

r + 6r ,, .T:ffil.T*:f irT:"ry:uuEuedel uetuolt

rruEuelnl qrp4 .S

'(.uc €'Z) .uru ZE3 = eg_I . zlZ,O. ?2,0. oro.0 =vV 'eslFadrp n1:ad )rBpll o*d .uEnprar >rsl rlarg ur,il,ui"run(uulrselodrelqp) 0i00.0 = d (q's leqBr u8uelnuag uoleg usBu'ruored leq,r uBp {u,rc qnCI laq,t lrunuanl

ztulrcI EEL = ry# = q:z8np:a1 {et tJdaf uatuow

(zuc g'r) zr'uur IgL = OI ' Zrz',o' ?z',o ' I€I0.0 = sgt . pq.I€I0f0 =r'y

@ pqolr*,;l;f :;: (l pqol ,otttil 9S00.0 = *dIEI0'0 = d (ry's leqer Euulnpag uole8 useuBruerad leqgr uep {uero nrng) Iaqq frunuehl

zu / l.pl gozc = 7z?7' 9--'-t?'o -

#:ue8uudq uetuoril

vrut CyZ;02.+ - g _ 0, _ 008 =

.="'*d.+_o-O_d_l=?urug= 1: ,,0;H[T#j;;'*'1:,lffi,rt ruru eZ = '0 : uurqn ueEuulnf ralaururi uuryr5lreagq

ruttl Sf = d : E IaqEI lrunuetu uoleg dqnuad fnqrfIIIu 0Og = { {otBe ltturg

uuEuelnt tunlg .t

tuqeq ratatrulp.uep qglunf .IotBq Burdtuus

Ouqnyq trolea weuaue)ed Jesry-rEaeo90r

Page 118: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

uB E uB r nr B uule q uu>p u nE e{ulruqas,rrourjT ll,ij r, ,,il J#:r'j,:11rt;flTir*[uerusedrp epu tue{ tueluq tuetued uu4uunt

urx8unu &seqesuutuelnl BrBlus )teru[ pquuSSuetu uuBuap nllef .urx8unru

lglpas uufluulnl unpuntur.u z€ usp gz ,gz,zz,0z,6l ,gl ,ll ,zl ,ol.g .g :ln{Faq raleuBlPralauBrp uopunt

Bpeq-Bpeqraq Euu[ Euqeq raleruerp Bderaqaq ueeunttuJ qnlirarq:{opq ue8uelnl rEuq tnlpaq srqerd uurnlsred DIBIraq .*ouo1J ltas r:eq

tuur ror,q ueEuu 1n uad ruru,r 5,, u,rnrpred :ill itffi r'ff:,,-#f,::ffi # ;ffi 'tdlI; tuslrQ nElB turu 0I FBp Euunl Euef solod Eueteq unpunEEuail ryp1r *an uurynfue;pBusln uetuelnl

Jnlun e,(u:rq1y 'tutu 00t tqrqaleu qetoq {Bpp rur Eurdrues Euqeq BJslrr?P{lua^ IBJEf 'rtequad uetuelnl rutuqes rs8un;raq rur Eurduus tueleq BuaJB[ ,tueltuasuetuap BtuBS tuef releuBlp ru,(unduau uup tueluaquaur Suef ISrs ?npe{ uped iuefuuurarsturdues ue8uulnl Eueleg lraqlp efu4ruqas urtu ogE FBp qlqal urur8tuf Euer {olgg 'uttu 00€ FBp qlqal qaloq )ppp uftn4uref uuoJep tuslee IrBp lenqrp tuu{ tuultuauelSuupas 'turu gsz lrep qrqar rypp solod Eue1uQ pup l.riprar Eus,(Euulauas eraue ryrei:ue, ue1'rnfuerp ?{Btu '(g qog ptttil Eueluq e,(eE eruusaq qalo uu)lnluellp {Bpll Ju1 leref erg 'tuntut$lBu 1e:ef nlBns rqlqelatu qaloq lepll {oluq Euefuedas tuultuas Brslus {urgf 'tutu 9 lrep 8uu-rnr {Bpll u.(ualaurerp tue( tuquq-Euqeq uqBrnEEur* reEe ullrnf*t 'ue8uu1n1 relSues r8eq ufudnTncas uun1qa{ uuryedepuaurreEy .tuulBuas-Bueltuas'qa1o

Iru>t8ulllp'{olBq Suufuedas Eu4uaquatu Euef uep rur tnpns 1p tue1eq-Euqug .BuudureuxlnPns dup eped tuesedrp uep uetuulnt tueleq ledua tedep:a i*q e,{qgpp-{Bpllas rtesrx{opq qenqes Suedueuad qenqes ruspp nu Buere{ r{elo.uru 00€ rpn1lrtu-uelepueSr:ledep rur sq,q {BrBf 'urunuaru ledual nl,ns rp ue.,o., Blrg ..,ru

osl Fllqata'. {Bpll Brrs!,ue8uelnl SusleQ BJElus )tsrBl eredns uulrnfuurp tuntur$luru uendunt ua1llotu uep uu8uedruauou L{BraBp Ip B>Ptu 5lolBq LUBIBp Ip {leq tuu( eAeE uernpfuad ururefuaur In1uO

Iuntulunu pltu p8eqas deE8uerp und lul )tBrB[ uep rl?/r\Bq undneu sulu uuEuupirlruorrBq urur 0t &seqas lrqtu?rp uu8uu1nl Euqeq BJsluB )IBJBI lyl {nlun

-uolaQ uB)llBpsuas{nlun tuBIBp e{ uB)plnsBurp tudep uqSuntu und rela8suad urruuf uep efunumalauledep ruseqrel teBarBB JJlnq-rllnq ru8e reqal dnlne sn-req ue8uulnl aueleq Brsluu rr;;

'

'uu8untgrad uelresBpreq upedr-rq4rcq 8uu,( rnl{nls EuBcuareu {aDIBrd ue8uap uettrnqnqraq :pfuuq qlqel tuef urauqnu*Iplep uurequeSSuad uurnlu:ad ederaqaq ludeprq u8nf 1o1eq epud:rniJnpnd padag

'Sl r{oluoC 'Ioleq Xnlun ue6ue1n1 S.g Jsquteg

,tfitt,ilr

il

flr

till

T:lffij

lri

rdLOtIolw{urnn nwl

Page 119: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

ualsueo{ u,IBunEtueu uuEuap pr ropq {nlun u,nduru u'p rr,Er,n;:l ,#:*',trffitflTr"foqq

"ur/Np[ 0'02 reseqas dnprq usqeq u?p ,ru/Nr 0'0€ rBsaqas lleru rcqaq lraqrp {ofe;

tuFal ueEurultu[ urBIBp 1a.1rJr ior*: (zuc 59 x 0r) zrur.rr 0S9 x 00, = ,l x ? :{oluq uan, _

(zrucp1 00rjt) pdhl 0O? = ,! ,i"q nd;' r' s rB qrxe s u pe d uB)ru ue{ s Jp r uer,,

" d*11LJ3X,3

t3r'#Tf"?d ;#:}'lrIH. :!nqqe[Q

9t qotuoc 79'srde1 enp uuEue_1nt tedepJq u11q efusnsnq 1ur :uelspeurad usp ueroca8uad {nlun Juqel dnlnc tuuf tuefuuuau q?lac {nluegel tudup rete .tutu gg uzp tue:nr {?pll {opq ssle uetuelu rpnd tuqeQ tueseaas *o* larefrete uB{Br{Bsn

releurerp ues uBp r{lqal ueepaqladre,(unduatu uu8uuf ue>IuuJusJp Eueduleuad nlBs ruBIBp qllldlp Euei tuqgq Jalarrglp

sutgs Eue[ ratauelp uetuap ufeq nlnu nlss FBp l'nqJq eruenuas Euur( tuoltuas uopunEEuatu e[ueq':u5:1tun;;iid

;qnuad;p sruer{ 6uel ppq ueDue;nued le.rels_lerels g.g reqruBg

ara$ueaArtdurw ueOuBn

asen ue6uqr!

II0t

urunuer! ueurou, ruur 000e6nprag 1e1 1de[ uouou,

uendtung uorrJotrlue6uedq uauroul unurFlBur eped urur 6191

euqn ueEuqnl urnu!$lgru IeJBI

'1j'

8OI ffi

urur gz r!nt!!u!ul rto"r #.

uellordp ueOue;ng ulu OOgsolod ue6uelnl ulx OgZBuq6ues unur!$leu, Ie.,Bf

urul 0, : 9t I s :lntun _tuu, 0g : 9t , < Inlun - BCBnC largl

ueOuep wOunqnrgeq firnsGuq Oue,(uru, O, : euqn.ueftrqn1 Inpn -

uedrep ueounqnqreq *nffimuopq dqnued

urur urBPp unurl'lu,

(urul O, nqr.releio)I nelu urur 97

arep ue6uqnt unu4upl, IEJE1

l-_- umj SEauqn ueOuqq urnuJ.rulu, {B.,Ef

unu 009 lutdrrrp3rrB6uefn urnurlqu lgref

otrywq uotq tawwuand fis*p-J*sso

Page 120: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

utut SZ = oO ?rue1n uBBuBInt Jeleuerp ue{BJqJedIO

tuur 0, - d :€ IaqBI trunuJtu uolaq dnlnue4urul ose =,lrX:[];iil"*

' (ur8l OOZTZ)uI.H O'ZLZ= z 0'g ' 89 + - cader^

(ur8{ Oszg€) url\pl g'ZgE= zl'L' g9 + = ,fa0l : r"' - 8"'| -Zl.'n I - YY- YY

o, os., = ffi5 = I nnrs pft; =,

g0-I66I-sIr INsxS lrunueu c u,p g uendunt ua.,o., eped q,Iiaq 3uu,( tuTfi;

(tu8l 06208) urN{ 6ZOE = zO'!- ' 89 I = o'*'W - av der^

(ur8l 088gI) urNI 8'8€I = z 0'L ' 89 += ,l^^T = oN

='w:q?pps ue{ruueueur Euu,( uaruolnl

'(sae !p rnnq-rrlnq ueryssspraq) ueleuntrp qetoq ZI IeqBJimpeuau

sls,(ual undrur :08 x E > OZ lneur ueqaq p1 etp lrsp IIreI qlqal dnpg uuqeq (pr.BpBueu eler(I.ual lqer rteq-rat Eue,( uBqaq qBppB llBur uBqaq (c

ippuuaur slefual iz'l >tI'I = #

t**leqasreq 3uu{ lapuadral tuauaq IBT Z'I 1rrep resaq qlqal qatoq

1app'uulqalrad uBuE{ uBp lrpl r.{Blaqas Ip uurluleqa$aq tus[ tue[uedra tu4uaq (qlppeuraur ae,(tua1 ituuruaq Bnp lgruluFu tueluaq qg[urnf (e

:BIIq ue{BunErp qaloq ZI IeqBI'unlnluouatu tuu,( ueruoru-ueuroru rru nluel '€

,ul/Npl 89 = 0'02 ' 9'I + 0'0€ ' Z'l = n/,l

(lnqslallp) ,ur/Npt O'OZ =1nt(Fqeta)t1p) ,ul/5pl 0'0€ =

odt

tn g'l + oar Z'l =

aa

u?qaq-usqaq Eunlg 'Z

'l'S ruqtueg uetuap Bnsese,{uEuquag '3 uep g epud sruaueru ndtunlrp usp '61 usp V ?pBd suqaq ndurnlrp rypg

'ufuEueluaq Euefued uep sqeq lurefs-lurefs uurytuag 'l:ueEuqgq.ra;

'91 rloluoc )loPq pBp eujals 19 rBqurBc

I

l*60rlolEaHutoll ntET

Page 121: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

Qwc 7'tr) ,uru ggLl = ona| ? + zzo\ g qetqlgd l.unu ezLl = ov

(zur 0,8) zuu r08 = sfa, *,[,?.rlr**rr;:t:-.ry(zurc g'tr) .unu ?ESI = g0I

g uep y uu8uelnl qllld'06S'0 '0r'0 ' 5900.0 =

rV*d>sgoo.o>*d

Euelnsag uolag uuuuucuarad lequr uup {uerg nlng)(uu1,rq$l*l*,,ilr";o

= d

zul*Its6r=W=.#r,uN)t 0,7,L2 =.n ___Ja

or{

Qwc z'zT) zw Stzz= ot .

06s.0 .,gg? . ?600.0 =

oy

o>1600.0>or.dEuelnseg uoleg useuBruered teqer uep {gerc nlng)(uu>1,*,"!llrt,iilr**.0

= d

zu / te! L?Lc, = zo6s:9. : .o?'o = &_ S'Z9E Tullrpl S'Z$E = "N

"I4l uep rn({ac zu) zw EZL\ = OI . 06s.0 .

g1;q . g400.0 = ov

, *d > tl,oot > *d@ Pq* ,owil eoZot = *j (l Pqot totttt) SEOOTO = r*j

Euqngeg uoreg rr,Bu'cuerad IeqEJ usp )tg,rg nlng)(ue1,*,ffrlrlil?*.0 = d

zulrcr suz=ry: #(3tuc 9'L) rrttwSSl = e,I . 65.0 .

l,O. T,eW,, =:yflI'fr {epp wd uueslpatuad nrl tuldun: ,o iu'npras {n 1a{ ueuour rIEIupE ;;;W*rf, '@CS IegB1, tuelnuag uoteg useuucueraa teqef uup {UBrC qng) 2800.0 = d

zru/N1 1,66 = z06S'9 'Or'0 zpe

8'8EI W=urN{ g.ggt =

nW

'n unp rru(tucos)rutu06s

= sZ.f -g-0r-0S9=,rdf _rr" _d_tl=p

umr 8 =oo arrlaurJ[Hidr'H#:Jfll,,t

j

ottqnyq tpleg uswwueredt fisEpreseqOII

Page 122: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'1'

'suau uEouap xoleg g'g JBquB9

'sueu Jll)tcJa rBqqqr:pdaraq pqe,( ulBI slu:t uuEuap lofeq urep? utvt-eiefl rsnqpslp Brulrauau rnX 8ue( 1Y1qJuqal uu18eq ederaq Fqsle)up npad lutues ue8unlrqred urepp Ip B,$qeq efunlual sstef

'lsluul uutunqtues ueltxeped undneu r8aslad {oleq uepsq uelEeq uped yeq Inqup wle1 urtuetal 'lnpualaur rcrsruBq uBqBleqasraq tuuf pluBl uelteq wllBqptEtuatu uBIg lotBq BpBd uBlnpuel u:pur'(g';rBqrrBg spBd {olBq rPnqas uqpsp) r1ad4guu1 uetuap Uouoru rorrp uoleq lopq irUq"At'

unun l.gI-Ioleg 'g

'rur {oleq {nlun 3uutu11 e(e? uu8unlrqradssrluqtuetu uB{B Buuru Ip 9 qBB urBIBp uelderatrp rur uutuelnuad lrep rBqurBC

ueEuulnl JBqurBD

'lupeulau selaf lnqesrelueEJ"r($ed e>leru '3uu1eq S nute ? Jd ruur 00, ueJeqetal ueEuap Herag 'turu gEZ =@spEeqas qplraq tu!:a1 uu8umfutl rrrul?p Ip lopq {ntun terer(s'tI IeqBI trunuapl

{qar rPqel Bqped

Iuperueur dnlnc u1u,(tual urtu 00D Jsseqes uBJBqaleXuru glg - PloI

ruru 0, Brslrre {ere[ IIu:1 ,oza0 x Is7,40 x t

g = eC .Bueltuas x g(tutu 6ry = d; uotaq dqnuad x Z

:lDIIreq pteqas qaloradp Uu:IB uqnlJdlp Euef {oleq reqal runrururlAl'tulu 0, Jusaqes rm1uuruslp nqasral ryru['uurocotued uup uerelatEued

uetuap uBsBIBrag 'urtu SZ IIBIBpB ttrsleQ Enp BJsluB uuryere(srp Euur( ruruururur {BrBfSZa| t + Oeaf t qBIBps tuedrueuades qpurl tuu,( uuEuelnt IBurl$t?W

IolBq rsqal Bqlred

(zurc ['St) .ruru IISI = OZLO S rlu1rllld lrruu ,€SI =pVJg ueEuudrl

(zwr g'ZZ) .tutu LLZZ, = SZo0 ? + OZo0 I rpHIIId lruru grcC, = oV

O uup g uundunl

.L

'9

unuQp[= $txturuJQ[ = 07,X1ruur 0oI - s7, x tunu9t = 8 xZurutQ8 = $tx|,

I

tir{

tLLWEg{unil ntpl

Page 123: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

rrsp uleryer uarpq wr'p' 'q uuauap ,q * ^q= s uelde p\ptrlJlflfi #"3^"filJ**,,*1:

\lnwrrlxg=rqr'as.rad Buudruuuad IrBp {or,q *rrlH;'*ffit ;3rr*

tlr'q*'q*^q=q:n)IEIreq J._Iopq {uu61

.G.g nquog olnd pqil uer{sleqesaq tuer( {opq uepsq IrBp tltsreq ryref ge8ualas &seqes uultunrgri1p'no" rrlra pqarlg1! g rBseqas lopq u,peq tsts dup uped Suquaquau tue,( suag uup Jp{aJo Jsgal uep , Ioluq Auqueq.rduareder rurqelau qaloq )ppp l-{oluq pep JplaJe ruqel 1ulol .ortdqrrip-r_rq tuel l_,lotEq JIqaJe rBqal {nlun rrBnlualel w+unluBrlp 0I.I.g IBsBd E}I66I_SII INSXS BpBd

.rerueruuEuapnrerueuu,pr,,usr*Tforil:ili,fr-:l j#fff rXffi ll1lrfiy"'"*

'l-Iopq u?p l-IotBq pBp llDlsla rEqe-l 6.9 reque9

I'lI

I

LI

ll- lr NN rc

LNttII

i'iNrlI!- &uWDa .qq uewawed teswHEeeo

ztt

Page 124: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'z! r{oluoc 'l-IolEq Inluaqraq leluB-l lt.g ,equBc

'gI rloluoS lrsp IIgurElFuBndunl uup uBtuBdBI ueluohl '91 uu8unlrqrad qo1uo3 uetuep runses Eueluaq EuefueguBp uBqeg rBseg'II'S rBqtuug eped uellreqlp rur ruluel tueduuuad Inruag.(urc Sttuut Ost ufqaot lgqal tue,( Pluel uu8uap uelEunqnqlp ugp ur 0't qBIBpB {olgq lesnd-e,lesnd ryref uutuep rnl{ruls ueuodtuol lr?p ropq pefuau qgqnlp efulnluaq wrpnurax -91

I{oluoJ Lrup srueuau ndurntp tuuf lolBq uqlreqlp .I-IolBq uutunlqrad qoluoc pEeqas

:lnqqailq

ll qoluoc e'g'Q x^q) lEauad lopq reEeqas Eunyqrp l-{o1uq .usnduu )t11ll BpBd ?psl uerEeq {oleq

epud uendunl relples p tedep-ral suau {elel 'sruaueru ndunlrp tuer l-)toleq :prdue8uap lol,q Iqueq u,{r,s,preq luls rp uauror,u ue8unlrqrad ulutu .r5r, ,lr} Ix;?H sg]Bqrq {Bpll pnl uB{q Turrp BuarB{ qalo 'qot's rBquBg lpeFq BtBrrr tt1

< c epg'J.-rolBq {nlueq requreEral uEEurqas uqlBwlp {qar qBlal tuur( rSrq

IotBq..lBdute tEaslad,, Sueduruued ufuesrs re8eqas urleur '1qar detEuelp 1ertj,rr*t qe^"qp uolag Euedureued suaru{ qelo ', sg'0 = D ue)ptrsgrulp eruueEunlH urBIBp ufue11

'a uetuap Bruus ue>lde1al1p uelq qeraup FrEDtttun lapuadradp eduq 'ue)llsesllstue{srp tw[, uolee 3 - g tuerterp urBpo .[sp?uau

ryl Hereq sueu qsreBp epud laaFel , sg.0 = o e\$ ? JIDleJa rttup uBp (^q nuuttuadr.eEeqas) g rgqet uutuap r8asrad rolgq retuqas dut8uurp tudep ropq glpu ,r1

> a qrg'r0I's requug eped

ueplnfun1rp 8uu[ uuEuap rcnses 1ul tug '(rl, c) suag qpreep.sped rduprag srueq ue:lel quraupqrunles rlraraq B>lBtrI J,-)toFq pteqas dettuerp {oleq qgnqas uetunllqrad urepp rq

'(U .cl ue6ue6eg uep ue6ue6ar urer6e;p ueOuep l-roteq Euedueued go!.g rBqureg

#c I'

r 8rl

,L 8oO'o - -.r '

lolag-lunn ,rrtto|

Page 125: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

zIulNI l6E = z06S'0 ' O'Z

Wuru 00oz = 0008 .I = zI= q rr,rsp, ,:j$rg::#;;{^

unu oosz = oozr "T,.Hl = ',

urru00ZI =0SI xg=rq_ rq

tutu 0O? = ^q7+>'q+,q.+^q= ; xqlreg pEuqas uapudeprp JIqaJe regrl

nhtr'9I rlotuoC lgqrl :r1^1 uep sy

zurur ZS9I > zlulu 928 = egl . 65.0 . ,.0 : S800.0

=tro oy

Euedureuadraq fasrad {or,q uuEuap usll,Iraq ueEuulu runrurunu ,*r.#ffiirffiJqPfas ue'uelnl

",eletueqtuad,, nQI-zIIr., Il = zsgl - EZ,LrrBSaqas qBpuar qlqal ;3:^ ueEuelnl IIBI.,.[ uellrsuq8uaur eleri", r-io,Ji *t"o"r- aopf;;;", ue'rrn,q:a4zruut ECLy = ,V qaloredp pasraa rypq'rlnrin-ti qoluo3 TuBIBO

(zurc a'rr) .unu zggt = oI ' 06s'0 ' sr,'t ' gI00.0 = g0I .p-q.d= oyI-{opq Jeteqas uel8unlrqradp qeloq loteg uru 0SI > ruru IZ = Mg. g€0.0 = j

S80.0 =**p9I00.0=duseuuJuared leqe; uup {UBrC n:InCI Iaeq lrunual^I

zulNr L6t %# =

' rulfI 6.208 - ^Nq u,{queuatu Buer JpreJa r,qer et'urqas .ru

0.1 *rrffr?ir',1*1rH tr;J;:*;urr.u00gZ=002I .Z+ 00?= q

urru008r =(00r-000r) r='7f nqr.,*#y;Jr1'3= :i

7t >'q*Tf,=^X,caan^ u,p sv ,N {r*re.r,) rruru ffl+tHt#*5::f_rq,r*"r;V,

rruErmpr tunlg .f

url\H O,ZLZ = ca ifi*

urN{ S,Z9E = rN = rn

url\t{ 6,Z0€,=*Qn=nQnurl\pl g.gEI _ on _ rn

:umpeduplp g rpnq 9I qoluq) u?(I

Ouerwq uopg ueeueouan4 JEsep-JE€-so

,PQnw

'(cC'S IaqBI Buulnuag uolag

zPQ

5i

?ll fl

Page 126: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'uE)leuralslp 6ue^ uE6uPea"uolsg 6uedr.ueuad Zt.g ,BquEEt

uep ue6ue6e, ue.r6e3p e6n[ 'do16uer ueouelnl ueoueo ouelnpeq

,H,l

7-[

It'r i*---,F.=.,

f ,-+,lll_II

I

--tF_-{

-

:

800'0

tuur Eu r p Er es d e1 B uer uu E u, F, r, #;I:;X"B rxl'irHi"niffI" [i-;,1, ]lff I 6tunlqrp srrrerl rur deltuer uetuelnl quryueugeaeg

'(uelzuauo1llpsruurl g'S reqtueg eped rrlu uur8rrp uuue{ uulteq Ip smnd-snlndrat spu8 uetuapledutartas r-ul terl ululup) delEuur uetuulnl guusudrp e>fpur .uaprrEunruaur )fupp lul BIIB ..

Ioluq tuedureued uurmln uBlue>lrBnsas TJpeurallg enp tedeprel E{Bru *d < d qlg

_ 'us{usr{suadrp delet tedep n, plF ueplltuep B.r?r?S '(delEuu ueEuelnt) rp,l r{Breup uped undneu .*{a q,ra'p

"pro ,1rrq.u,r&q.,,"t uuEuep tuuseureu uuEuap_ IsslBIp tedup rur o{rslu 'G qrg 7.g ,r1iog t^tij rEtun nl,lr.n ., pt* 'uDlal quJaep uped uotaQ e,(uncuuq ?uarnl Bgn-Bqp uur{$uruer 1pspa tedep urryultunrt

{ol,q eped ueqeq EIIq 'lu,req lul IBH 'qeter snt,q redecuaru *rd )tspp urrq u^,1eq o{ltu ueEuap wquqtuut uuEuelnl lgdepuau uu>fe {oluq .qequetJp uutuelnt efeq BIIB .quaua

u?sBIB Buer,{ resaq:ad1p ludep {Bplr ror,q usrn,ln qndrSei .resaq nedtuelrai';"dqp, uuEuelnl aseluasrad uuEuap nrururr uurrulruaq roluq qalo plrdrp tue,( ugqeq B,or{Bq lp'frerydep ueurxEunure{ nl,ns 'lnqqa{p tedep uanf ue,*e1p auni *n*1rr1"* uauour .nluauaEuedueuad senl ue8uep ropq {nlun p-mreq F I

.InndLBIIp qeloq r'pp tuef .,',n.urs{Exruetuelnl aseluasrad sBlBq nlgns uu,lnt,allp luls Iq 'uraueinl r{Brilt ueryalau,uaur ueEua,gtueln:aq ?ruJes Eunlrqrp {opq q?nqes r$un unurs{Brr'ntuit ueruour .E rloruoo BpEd

unun lzIUet uep uBlol ueouelnl uBouap loleg .l

'9I [Ioluo3 uped {opq uu8unlrqred uuEuep Euudur{ueu )1ul urel Euu,( usg$grauedob lou nsls- zrrtu 0 = ,€st - ,€sI rBseqes FIs Ip ueleruaqEue4

. __-- _zw IESI =FV qaloradrp rEasrad {oluq {nlun.9I rloluoC umleqQuo €'S[).urur lESl = OI .06S,0. O,Z. gI00,0 = g0I . p. q: d ='o; . I-{opq reEeqas uulEunrgradlp qeloq {oleg

uru $sI >> turu gl ;06S

. LTn O = r

LZO,O=; uBpgI00.0=d'(tz's leqBr Euelnuag uoleg lrgglrgcuered leqsr uep ilIBrc nrnd leqq lrunual^I

,l

t1

il

Ifi

h911

ryeg-pnn rnilul

Page 127: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

it (,p-il^!offi

+pq *d - "v *,'V =

ueltedeprp e,(ur--.r.

\,f^-il^!o _,-- l:ruPr.,.yuu>1e1ueEuep1qeJurnfuutuapBuBs,o**ffi;",J**.

fitffiil'i#EulcnuraeEuer.,*r,pueuo.,,ueEurlrr,qrrc,!;iJr:'3#,ffi'Pq *d =

I'y'uuro." ,j,I"^.;:,:;':-:""P lPYu dtrBA Bsts u?tuotu = -

ue,".." uu,ual r#';kj:ffi*fHff'l#;-,f*ffi : I uettre-''n +

r"7'11 :uertee

:no u,sr,p uultlusldrp uB{B uB/r\BIrp Buer rnluar uauo.., ,"lol .nrrar tuer ue3ue1n1 *rlnr *rnru*r* )truu61 .es{rredp sruBrr rur ueduStue .qoluoc_qor'= uruluq .^ !=',o deEEueauetu uniurp uqqBIIp urry.rrrlrr uld*1n1 uu8unlqred ueunrnu=

'unu 00, ? p rntun rufu,n tuu{ pq ruens uapdruaur Bdw 00, = ^l egeqnlnu u,rersur;-- 'u,,I,l uuSuelnl uped qa1a1 ueSueSer uellrdrrreueu u,{u edg\t ot(,- }eteq run:r uegun88uad u,nqeq $rereq ,r1 .qr1r1"ur uB{B unlrf ue8uelnl

"rrroriilur psl.o > ,p lerei:

p,s'a c-,I - 0.8 'PSl'c,

= '' T:suqEueru

uelpnrual ttn;

,P - Posr'o ,JiE nnl' m = F

:Bdht oot = ?,l*o:.qalalau UB)IB rrB)lq ueEuelnt uelqufua u ruZE,O.> ,p leruj<

'nZ€'1 = p uplllsuqtuaru uutpnura,. n? nr=

nq' m =5. :BdH[otz=?l*o.:

ln{lJaq p8eqas tedeprp @)tE e-OI . 0.€ = -,

= ue8uap

e-ol'z\ = # = + = ,,3 :Bdhr oa?=!no;1 J

e-ol ' Z'r = sOI ' 0'z 'a 'l = tr = T = "3

:Bdhl o?z=l/uui1u:[Btu qelat ueEuBEq redecuaur ug:[q uuEuelnl ErnIBq ueryarur(sp FIs Iq

n, tr3

rt=E e^rrl,g usryrunlrp ,,dup g.s rBqur'c BpBd =_uerEep peq

0S?'0 = f qaloradlp ?dI4[ OOp = tpr69€S'0 = i qaloredlp sdhl 0W = ?rlnrun

Isqq upud ecuqlp rdup nll IBII,-IBIIN .qr'd uutuep uurp:peq trDdupsredns*ir.Jnuaurulp**%f

lj*HT#.##,?ilLHil,;ilx*ffi ;,[

Pgts',0,P _ P9EI'O

1

ouaraeg tptq urrrr*arare4 Jesep-reseo9II

Page 128: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

(rutc E'08) ,uru 1ZOE = cOI

Qutt 1'7r).turu ElZl = s}l

uru nW, = Zt'+ -0t -0,

rutu 0I -- a0

uruZ€=o0tutugr- d

tutu Q$f = ,l

' r8E'0' r'0' 1.610'0 = fii' p. q. d =*d>d>

(cZ'S laqel ue>pselodrolullp) 1610.0 =

zultQl S€tS =zr8€'0 ' 0r'06,ZOE

urlel 6'Z0E = nW

**'I'l = n*hl

' r8E'0' r'0' 6L0O'0 = ilI' P' q' d = o'y

ryd>d@ pqDJ ptttil t020.0 :'r*d

(cZ'S IeqBI uu4rsulodrelullp) 6L00,0 = d

z?8€'0 ' 0r'0

,tvUTIIJ .

o

d

,PQ

T

zu / tQI tgeT =

rr.rN{ g'gEI =nN ow uvp Y hl

_ 0S, = .'ntn'dz rru-o _ d _ q = p

rc8eqas redeprp p JJqaJa r88urlue{urrt:adrp Bue..( Buel8uag

uele:r;redrp 8ue( Brue1n uu8uulnl relau?r(I. € IaqBI trunuau uoleQ dnlnua4

Ioleq r33ur1uu8uulnl 3un1r11 .?

8'8€ l '

,Pqnw

(tu8:t WZ,Lfl ru1lpl g,ZLZ = nQN(tuEt 0SZg€) ruNI gZ1E = )hl

=8N(ruE{ O1ZOil urN{ 6ZOE =*

hW = * Qlf

(ur8:l 0gg€I) urN{ g.g€I = or{

=ry{ :9I r{oluo3 epud Sunlrqrp 8ue{ uetuotu-ueruoru uuEuap rBnses ue3ue1n1 qe13untg1

:e.(u.e1rg

(ruc Sf) urur 0S? = 11 ue8uep 91 uuEunllrfled qoluoC lrep loleg:!nrIqe{JC

gt qotuoc ez

uB{E Lrpuas {opq tureq ueEwrnEued uueral 'ueuroru-ueuou Bn.,,es IIre{ unr-;;;'jton'o

rr'p rapuadradrp {opq B{?ru u,r,, uuEuelnl ,;$L:3,ffi,llX,;,lrj[',i:::rffi,# = ' 'rEu1 gelas le>tsd1p 9I rloluoC uped p,re

rer'rs-l,r,fs ueEuap ueEunlrqred qoluoc ru,lBp prp .p u'r" iri urnj J"r* nrr, ,rurnfue1ag

(,p_-ilyo _,,vw_ w

uBp

lolRglann tryudl Ltl

Page 129: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

zlu / tr1:[ llp = z'8€'9 ' 0r'0 : zHO,ZLZ T

urlsl O,?,LZ =.y{ n*H

(zruc g.sr),1u ozsE = r,:'fi,i| '=rry:Li=='rrn .IBIBpB c u'p g uendrunl rnlun qsrraq tuef ufruJr,ny

.w ttL = L6g .# = ,i,n

rpefuatu uBp r$laJo{lp srueq w{q ue8uelnl qspunfEdh[ 00, > Bdht Z6E = 000002 .€4I .gO.t

=,g'. t,=:ir{BIBpB ualal ue8uulnl ru?lep uetuutal

,gE ' 0st'009-r8E'0sr5

s4I'0.t=-,3 trrrr 0g = ,? ,w P . 0sr.0 = ...:

*,3 . n'-a

= ,,3

,p- J

:',o ue?s4lJeuad

zulul L69 == 'rV = a"y

:er(utnfuelaS.ruru

0g = \z.f + or * 0? =" td f + $"-o + d = ,P lrw qaloradrp ,p

8'0=f:uulg1=p IULUN fiI'e'ZL = rufpl EZL = Z,OIE - S.Zg€ = rili-_"n:uetuaq

(,p_-fi^{0 _ F,,_W+-o'V="V

(zutc 7'rE) runu 8II€ = egl' ?gg.0 . ?,0 . 8020.0 = ilI

. pq .*d = ry

ull\pf z'lIE = z?g€'0 . l'o .

:Eunlqrp uBrpnure109ZS = zPq : OgZg =

tn141 nvle

(og - t8E)'oot . 8.0

-

cOI ' e,?,L

.,i

8nil

(cZ'S IeqEI uurysqodrarugp) zullel O1ZS = #w

Iagsl trunuaru .rur uutuep Enses tuea

g0z0'0=ryd<d

zu / Nl sgrg = z?8€'9 '

-0?'o = {q-S,C8E T

urNr s'zgE -'n ,14 uw an

Quqnttq uolq uaeuauapd B€EHaeo

Page 130: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

.rupgtuetu dnlnc aufual upu tuef ug.rBqalax

uru 888 = Iutog t-IuuI 8ZI = ZE x Iulur 09t = ZE x SurtuQ[ =0IxZ

(lutupru) unu Z€ u.relug )pref IIBLZE

OO X E

0I o0 .turl8uas x g

umr 0g = Qf x z : (rutu gp = d; uotaq dnrnuad x zruLueq pteqas qeloredp uu:lB uu:1nlrdlp tus{ Iopq rBq{I

zry rcW = Ze cf,

E udrueg redup uerllFuad,ultu 6g99 TIBIBpE tuudrueuadas uetuqq tunrur$lgru r{B1tunf

Quc tgz),unu cw,, = {I .'89.0"J}; rffgo;;5 I

'(q's laqur tuelnuag uoteg ug"uucuared laqer ugp {uaro rqng) zLll,o = d il

I

6r[ totw{ann_* I *

Page 131: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

suos 'r.Sndrar ueqoq Enp ru'qaqlp upp s'qaq ,o*llX'lr',irHBl"t?ffi&Trr:'r?lJLele0 ure;e*]'9 requrq

:il

lelSuef ue:asa3"rad {eru ue1elu'(ueru nBls loq.,rs uBp qI'9 JBqlrr,c eped uqrfesrp tue.. Eue1ull eru8 tue:3erp ue>1:uquuErp lldnq iu,'unqrq Buerux g tesnd:al ueqaq unp ue8ua; ItIBqeqIp uBp sBqoq ndunlrp e,(u8unfn-3untn Bnpe{. auer 1o-1eq r{Bnqas ue>1rfe,(uau pI ; ruqtuBg 'uBqnlurual unlpBls urElBp rnl{nls nlelFad l{BJupg'trelnrurur* Buer( uuarul e8r. l(untu rnlual ue8uap r,nsos ele'(ural Sueluq urua aeiu'q:a aunliu3q uorae u,euBcuer?d

Jasa6 ue6ue6a1 .!

Fuu+uIT uz(sp

6uep11 eie6 depeqtas n6ep6_4opq ueeuecuarad

Page 132: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

, ,;]; i:l&?:[',::X ;",1'J. J',::['Jfitif o'

=

tr'p us{q rn sn q uel'uepas' p€' e r'qur,c,o,u 1iioIHHiJil'#i[3[,H #I ?lrsl uelerJ ue8uep u,{al rnsnq {nluaqrel {opq urBlBC 'rte1 ua8ourorl {Bprl und ,r,rrrl n{ulpad uup uDIBlar rpefta1 uBrB ru'l r{n,eep upud eleru .ue1lu18uplp

J ueqeq sug

qq'z_ rqqtq I.q s,,u,

A'E -n rW =il-= d

:aseE uuEue8al purr$lBru rc1ru "r8asrad Euudtueuad 1ruu---

Euedueuad BrsJaur ueruotu =IolBq rBqal = Igrlau slreE depeqr4 resa8ral Buef uur8uq IrBp sJlgls ueruoru =

Euelu[ eAvE =

I'q _ ^s7-'r qcispe n{Blraq BuvK l rasaE ue8ueEal efuesaq urnun BrBJe<

.r1 r88up uep q rpqal uetua: rSasrad {or,q uep rasaE uesue8al rsnqqsJp ue>11n[unu evr z-g r,qurB9 .ru{rqs B)i!.,B;,I lrunuetu pefeledlp q?lal auefr, ue8uap uruqudas elert,,ar'uaEouoq duri-nu3j {nlun^ rasa! ue8ue8at rsnqqsrp {qua8 'ua8otuoq uBqeq re8eqas qe1Fadreq uB{? uoleq elnd um* rnlual ueEuap l'nses usp u,{slar pepa *nirq uoirq 1o1"q ,pra B{sur .[caF uBprl*aps, tllsBtrr J BtrrBlas lresaqradlp c ugqeq elrq rpe[ral ue>tg tuef edy 'o'g = yn1 iEBrI{ 0 =rf lr"p Jeeurl EruJas le>13uruau rnluel uauour JBseq .lesndral ueqeq ugp rru)tglalrad ,** lq '

Bnp Brslrr, rp rnruel ua..,ow .1ou ueauep surps ,,",r;{;rf ffi:'f;Htn,fi*}::X unlSuepas u:/ :uslsuol u,(uesaq try{ aoeluit'ring r'Seq rnarpirr lesndral u,qaq; uelpalred BrsluB Ip {ol'q ldal unper rpud rletu'*lpqrp l{puas {opq ugqeq urjil"puv'loqurs ue8uap uel4efurp uerquet qare ueEuap

ruual uatuoru urerSurp elnd ue)Ilfesp e1.g rBqr.rsg Bp"d rotBq tlrBIBp lpsg4 Euruapur'ue60uroq ouedtueuad uped srl0qe.red >;nluaq.raq "rasa6 ue6ue6al lsnqulsro z.g ,BquB9

Iq

sAueBuap

qq

m=n

6ue7un a{egt |zt

Page 133: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

dnprr{ u,qeq reqpr, nefupp Bue,( tuedureuad epud Euelu[ e,(e' = -

Il,tu u'qaq leqrry nefuplp tuef Buedtueued eped au"ruii eKeB - .

ue!-r

'A 9'I + oA z,r =

oA

-rol)tsJ uelnuq-radueru uesuaq . ne runlrp 3ue{ ruedueua;'ff:i"ffI, 111? ##j

0te)uet:a

"A 0 >"A

upederraraqEuerBuquwrna,ffi 11'rHlt'#i1[#1-#t:#:"#i;trtffirrr{q sues lnqasral qruuEuad-que8uad uelrcrntuaru ?'e qeg E}I66I-sIr INs:

.ueleun8rpSuef uolae sell1en{ uep ueuo*

f,r* uu8uep elnd uerqFuep .u?{el r{Breup u?rn{n

'; ue8urpueq:ad pep lsqHu urBI ereluu .,,turdurer"

tue'( re8ula8 epeduep ur?[ ..r,get u,p 4epuad,, Buur( re8ela8 {nlun u",Ia rnsnq {nluagupu Eue[ Buefueuau uetuelq qefrxni

upud tunruetraq resat uetue?;

.D. n",ar urnreq r*^'loij #r:;,J: H?,TjrffI^,i%*i _ '(^):

{qer epud ('1) resar ureg .[?rJeru ugrrgrequ*,rrp1'ffi11:LfrHffi.lffi.EInnq-IrBJpnq l*plq8uaru uule ufurunun {qal *lrf .mlatal

lgpn auef *;ir; usP,>lnltrred teqpp Supnu {qer uped ledeprel Eusf ,;rra efte? pryurn uauodruoy.(4) Euutugueu uetustnr qalo rysud pry

g'9 nquog tott!il.qalo uerlsllp uoleq uerasatr;

.1pet uEle>l! uBp uzl1el Jnsnq ,ue4egeg 6:9 rBqueg

OuerueA wtq weuw.rued fis*?tese7at

Page 134: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

+- (it^nrfaomr'"n ueo hBrelue ueEunqng g.g rcqrrlEg

"N *p )1 ururue ueEunqnq ueldqeuetu tuer( sFBt rqplas I;unturuaryeq tuu{ {FP-{pp:1odtuo1a:1es uu{lrsuqEueru uaruFadsla BJBJes uqslapued

'S'9 ruqureg BpBd {glert urBIBp uqde1atrp rur uetunqng

€'o > 4+:ry tLt + ?r'o = P AO

:rur qs^rBq. rp usBru?sa(lrunuaut uu1d4alrp Eue,( uuEunqnq

_rdepr31 sleftual .lnspzls ;rir* us{urunrrp Eueiueuqocrad gepunfas I.rBq 1puFat tuef

o7g ueurour uup ppruEuadureur tqps tue.('a frulr* rasaE uslBn)lel uBp up{nluellp uolee qalo uulEuEqunsrp tuef 'r1 rasai *rrq"1'.1rasaf,

trDlglal ?pBd iu,trquq uBrdqalp mluel uep rasaE eleE r*qrqlp ,i*q tuu{ ,uaqaa {ntui-luotaq qalo uBrouEqrunslp 6ue/.'.11 rasa6 uelenra) -z

uslBn{e{ I$Fper roqBJ = 0rasat uu8uelnl uutuuquns leu,ruou rasat ueerqal =

,A

uolag uetuequrns leurruou rasat uqen{e{ = ,A

ueEuap :'A +'A = 'AB"ruces tuqFIIp tuuf lgurruou resat uqgn{el r{BIBpE

.A

'ueissa6 depeqq uBue,ueped r.g rBquBg

E'o t{St

r'0

J

)tp^qA

'hl

qIii

o'z 8'J 9'l ,'t z't o't 8'o 9'o t,o do o

ezt0uqqt BIsg

Page 135: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'Jese8 uBp rnluel uBqaq ue/hBlau ledep 8uu,{ Suedueuad !,ep :asa8 uu Sue8al sqeQ qBIepE :

Ul? = + = ',t tpefuatuqeqruaq (t-v'ilsnui:-Bx,ru "a = ! u,-r,seq re8eqas Dprraq rEas:ad Buedueuad.raq_ {gr'q rnlun .su:i: A-snlndsFe3re3uqasreque3uIBI3puu1u1e,(urpLgI,o=?=#IBIlN

'S'9 JBqUIBD InlBleur ue{4nfunllp uB)tB ugp uBLuB 8ue,( qB^\Eq selgQ re8eqes deBBuErrur snunu 'ue8ue1n1 asuluasrad uep ue8urs8uelel qrue8uJ eduq urrtniurrlp a ryi,,i(e-t t) p^q i1l? =

,A

snruru rrelresepreq qetoq ugu? Buef uqelapuad re8eqas .e{uqepnu {nlun ,rr**.'I}f: uolaQ ue8ue8al suarB{ urunuau glqet

"Eu-qcopalur,, rsenlls efedns ue8uelnl uele>l8urue:

qu8acuaur tedep re8e ue4euBlnrp p^q ' Ul €,0 > '1 ue8uap sn.,ru uBSBI?qued.leduelas Buedureua:

uped upe 3ue{ ueEuelnt r{BIBps d nele-d uul8uepes .ueqeq {ol{BJ ue3uap uBlrlg{rp r{E:i

uftuusaq uep nefuttlp Suur( Euudtueuad eped Suaurtu,{s? euas ,*o* ,n'anqrr'7';; .;,

{epp rur r'rru ,(s-t.ilsn..,ru uercletued ,,,rup ";l :ffiHr'r#nJJ:,tf-:1T

^t1'EIe{ rBlru = rt

:pasrad )toleq >lnlun

:? nele J {olBq {nlun

lue8uelnl orler

Ioleq JIHaJa r88up'pas-red Sueduruuadreq Bue[ {otsq Jeqat {nlun g uep ? nele J loluq uepeq reqal

rdup '1 depeqral uolee nlnur qrue8uad BuBru Ip 'uoleq ,uo uoffiTlfl = J . {

,J.rur snruru _ilrc

(g-r's)

,PqJr-=O V

' P^q ,$.=-=

O,Va

a

{queq urEIBp rleqtue{ rcdunfrp rur snruru €&166I-S11 INSXS speC

,\lhz^*11] rr'o = \rcteqas nrrr

Ul"w itp^qffil'u +?I'o =

-p8uqas rr,luru$rp lnqasJq snruru u,lpn.,ex tA

0 ="r1 rpufueur ufu:p1uaq .'^ ,d*'il;; Eue,( uetuelnt qalo uulEuequryp Euer *auJp uaueJ'uotag q.1o *lhuequnsrp tuaiIBunuou raseE uslBmls{ nlIB,( 'r1 uEruq lruun rrurruln lJequeur lnqasrsl uggtllesred

duEruq wteg ueauanod JssnptesB7tzL

Page 136: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'requeA ler{rl [Buo8elp 4r." Sueteq uep puo8erp ue{al Buu3eq-Buu1eq ({olBg sele uer8eq) uelel Bueleq_Bueleq .(1o1::qYl.tq uur8uq) lpet Suaeq-3ue1eq ErBtuE ue8unqu8 qalo uB/hEIrp u'{u rpe[.ra1 Bue,( Bueluufit uryu SupFr resa8 ue8uelu uu>leun8rp ulrg'8ue18uas ueluun8rp elrq leuo3prp u'r.. Sueleg uup Iu{lue^ Ilrsl Bueleg IrBp

.sqB uep LIB/hBq uer8eq {oleq luu1 Buqeq_Bueleq r-rruuEunqeE qero uu^re[p u,,t' IpeFa Buef tuerufi e{u8 e,rgeq u,{rcrnrp tedep rnqasra reqturiIJe(I '(,IJem1u'r,) e13uur uelsls LuBIpp Jnlrruis useueJuaJad nlens-ueledruaur lul sle,(ur:'llBqtue{ nefuplp uBIu 9'9 rBqruBO uunlueq uu8uep rasaS ue8uelnl uggugcuarad'eug

'(Sulrru -raseiuetuelnl) uu>11o1Eueqrp Buu{ uu8uulnl Buugeq lreqlp ld",,, uelu .e1nd n1, 1o1lq uer8e:uu>p1nfunueu qg'y rBquBc uelSuepas IBrIue^ 3ue>13uas lraqlp Bue,( lotuq'lrpl'qelaqr uer8eq Fup ru1e,( i1.9 -requpo p,p IIq.,EIp p9.9 rBquEC .I.9 rBq.uBD eped 1o1ei ,r,pr., ueEuap lBnses lnqasrel ue8uelnuad ueunlSunual sruat enf urlrirrriaru 9.9 rEq.uED

'1o13uaq::Euef Euquq uu8uap uB{rsuurquolrp delEuer ue8uelni undnels loltue^ Buul8uas edrur:ledep resaE ueEuelnl B,rr{Bq ue1qe,(uau s'?.t [BsBd t0-I661-stJ INS)S ue8uap rens]c

rasa6 ueEuetnl .t

'uBqBqursl uu3ue1n1 lreqlp ntr* ',n 0 <nr 1n1un IuBraB .rasa8 ueSueSal usqeueu lgn{ {cF: ufes uolaq Euedtueuad BrBru 'n,t epedpep llcer qlqal iedep,p Bue[ ,n

0 leuu-Fllu EM

90'I >66'0 >06'0 >08'0 >0l'0 >@-9e snuru) 'a 66S'0ss'00s'0sr'06€'0G-yg snun:) 'a {s€0€SZ0zSI(ear{) '-f ,orrq nrn}t

",t @ relru-pllN SI IeqBI

'(g'r'g) sn,,ru ue8uap q,Iraq Bue,( ',t / 1nlun ssle sq,q-s'l'q u.llraquaur sI laq,r .ISEUBAJA:

Suef :+ ^d r?rru ue{rusepreq ',t @ rcUu-r'Iru u,{reqrp {gBrB uep laqn, n{nq ruelEc p'A

ruSuqas qaloradrp B{sru .80-t66t-StI INSXS IrBp 9.?.t snruru reledrp BIIg .INS)S

uE; (g'v'il Bln.uroJ lrunueu Bun11q1p ',t d) sI leqBr uped unl8uerrp ppaq-Bpaqraq euni ,orr,ntn* {nlun'n d pUN '!l ? 9,0 =

,A 4 rpefuau qnq-rq "16 saeq ue8ue8al

Bue,( 09'0 r,saqas { rulru nr,ns ueldulalrp rasea ,;1t #il;r,l1i'il#lr'"ffiHJJ} uBlIBIrag 'uolaQ uBlel uBlun{e{ upeduep IIre-I qlqal und uolae llrsl uulenlel ugrBqa,(uacr-BIIN 'uBrnlual dupeq-ro1 uBlnluauau 8ue{ uBrBSaq ueledruetu reseq uur3eqas Buei 1r

-r-1--' Ev-rr.rsesss !se,r uoJEDdL{ urrlul.rlHd[u Jcsix{ uBldBqas duBA ILrtr efeq uelen>1e1 uu8uep Surpueqrp e,(uqnre8ued Jgseq uoleg rpgl uqen{ar Eruerruar'uulsnlel sullllqBqord qe,truq selBq r{alo uelnluellp rusaq uur8uqas f uelenla{ rslnpar roUE-:rBsaq B^\qBq uelrr;rdrp elrq rua8uatulp t{Bpntu lul IBH 'rruuel ugqaq tuglgp reledrp Buei8'0 = 0 ,,rnpusls,, r-Ellu uuSuap Surpuuqrp q,puer qlqat ele(ur,l ,ui ,r1npil lBuN

.9.0 = 0

N.sns$s1a11rR's1.Ns\NsNrs\,$rs\s\r\sp.pr\\\srr\\\\Ng\\\N\\stt n Q > " c. '.uqtse(sreA. NS\\e\a\ sssl,rlrsssA **\*1st\\NlA\o,\

uoleg tuudureuad E{Bru ' + = nA

re8eqas ug)lnluaUp "l trq,rp rasatA

szt

Page 137: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

T.t 0z ----i-=

A

2T-V

Euedueuad s'nr ",rBru'z

de,rrcrp p! s.ua{s *r}?ffirXxt[t"frTiiil;;1"t'** t'To ,

T=V :II'PIEpB Inqasral wu8gaqtud ryd

umlnlradrp 8uu.( tuq8uas tuedruuuad senlpep uuEuequns qBrBpB'1 uen*r*fiLf:',P"J.ffi'J# #:H:LH. Hil 'uoleg {olgq rpnqes lrlp Eualtuas uetuep rgnsas lnqacrel e)ltuel uelsrs uBD IEI_-;, tueleq ,,IB., '(qL'g rzqureo) uolag )topq *brq* *lrtopuerp ,L, ,1aoo d,a1qs epg

requrug) ufuqelaqas IP sllnlp uep Eunuqp Bue1e q e1et_efiet .uetuotod apo13_ *[; pue{rel Euef ul8uer ruelsrs lroel ugp uBnlugq undurq .eltuur *rrrs reEeqas rcuu{rn qrqer ne[upp uury 3ue,( 2g'g requ,c lrsp 3ue13uas uetuap'10pq rpt'p, e.g r,qur'g E?_*

6uel6uas ueEuntlqrad T'e!a{eq tuer( Buelull e,(e8 uumelau Inlun Buel8uas ue8urururad nufup1p 5tr:m efuuq lul qBq urulsp B)feur duliuer ueauutni r{Blrun[es uu4lnlnqtuaru rur ue3uelnuad 1ry s4v 'Sullas-Suelesraq SuesedP lul ue8ueinl ,,iq ,*l*u,,aq e,(ueq Burmu raset uetss.',: ueeunSSu* 'nr! Buarur qalg 'ufuepuul q?qrueq redep -r"rri ueaueaa eduet rpe&a m eped BTBur lu,nq eduat uu/hsr **rrpl*rrp "ptrq "r(orn*n

eped m,,,,,ls Buare{'8upFu rasat ue8uelnl peqlp JzuoteJp ue>la1 i'**1 uup luuoE,Ip u,l4 Sueleq eped uutu,lnl'Faqlp srusq et8urqas u,rr,^r'Iraq Eue,( sirr- IPU[rar uelu tupnu rasa8 uetuelnl uutuep rlaui rualsrs uped urltd;;ffi;rr,.-, uu:tu dBlq 3ue13uas ue8uap )lopq elefrual ,rf*pu"r qeqrueq tuqu[ u1e?undnup6

iti

sB, fi

'lesa6 ue6uelnl quef enp ueEuep 1opg g.g rBqutBC

ue11o>l6ueqrp 6trer( Eueleq ueOuep ppq

dttqnyq uolq ueeu@uered tnep-Jese7

Page 138: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'..Bpugt tueduuued, nlp{ .tusdr,[Euad ueue, rrBreqas uped undneu rIH quraqes upud ileuudupr* a-*"frffi,JliLilliiitiffi Htr^{0,. rluarr

=V Kpq(-a 0 - 'a)

uruunurn'",1 n*r, n t ueauap r,nsas HIf; rtfiTff f;fflil'Hfi[iljf,f #H :pref 'rur rsunlrs rrrupq

t

qBlBpB tueltuas tuedtueuad 1ulol senl snung

-'kg.g DClutDg toqn) ulnd rap4i edruaq

oa tsnqulsP {nlueq uEtuJqas Jarurl u'n{Blerraq "A ffi Fili.a*i *-* "* (og.g roquDg ,otqil ( ryruf tuEIBp uslsuol ,r nn snurru sptsd

^loz z

'{0 zforr.=V tpq'(",r0-"rr)f

Kpg .(',t 0:5=r.vr{etepB ( Euefuedas tuolEuas tuedueuad pot surq

^{0, z

M=T r{BIupB Suefued u,nlss rad tueltuas SueduBuad serrtr

,rrppu tuelru* u",o?^t,3 rJi ;*t#rlSrrroiry'o 0 ='A uolag qa10 uelSuBqunsrp tuz,( l,ulruou rasaE uslBn,IetJBsag

'lq!ue^ Guat6ues Inlun afua FoJelV Z:9 rBquBO)

'.L:}\J.ru_

A

,'r;Yt' ,,

A

L

Z0;-

'tol

_l

l

l, 4LZt

:I_ _ ___\_____v1 ___ _ _ _n: _ _ _ _ flAr-A>tl =A_

6uqW e,{Eg

Page 139: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

TflIi

b)

Kor-^! O

ltucer - {t (,

qnlueq r.wlnp qeq.,el s[nllp ledep ,,t

f e>ptu ,,n 0 =*("o 0 - ^a)w{delatlo r-

IoI*'y tq o.,-417=$ =

:lmrjil reEeqas qa1g:adp 1Btot tuqtuas ueEunlrqrad snturu urelup rrBplnsg1lllp IuIJplaJa FEqf 'zl8uer uolsrs poal uu8uap rcnses rpJrori-r*ir'rn1il,, tuef z etreq wp p JpreJe rE'up ueruleurad uB{urftrp E0-I66I-sIr INSrs .,BIEp ",e.1,= S,

-7T= tl

lnrueq re8uqas {nruaq *rt; ,i, ,l*- uqrreq.,e.., €0-066I-sIr L\r"s ^!oz ^

m und nele

ffi = ^y

ue4udeplp B{Etu'A 0 = "A 0 _ "A = pq.(,n 0 _nrt) uuin,. '3ue13uas FBp upu,B Buedruuued senl q'l'pety ron Ip BInuuoJ rrrr-,1r.-

^!0, ^spq '(-a 0 -

"n)r

:lqlJeq reSeqas Dplreq s = ,( rnlun ,{Bru tuulEuas Euudrueuad qBIBpB ^y ueryeD\. ;s rnqqa>1rp Buu,( Euultuas {Brur uu8uap Eueltuas qrlo *^rrrn iforp rasat qe3un5.ilnslu tuqurl efe8 qqBdg Inqeleilp nlrad uw$tlrauled- ueEunrlqred BpBd ?trrelruar

---*---+-j-l"\l

l.-I

I

+

.unugef,= lSl.Z= r r'zulul

9ZZ= Ell.Z= ; r

.uruggJ= 6L.Z= i.uztur,u0OI- 0g.Z= [ s

Euur( epuu8 Euedtueuad senl re8eqas .(BuelEuas) .rasaE ueEuulnl uraunrrqr$l'ijr*

'ralurt qeqruaq 6ueA h uep uplsuol ]4 1n1un }r rsnqrlsrg B.g lBqureg

,l ' ("t ( -',t) ur = .dhl'fu)-1)-.odo

duqnyeg uopg ueeu@to)ed fisept*segL

Page 140: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

uunueu Bunlrqrp Bue,( Buulaues ueauelnl runruru*u qupunf n{Blreq .** JE?:i, XrilI; ruseq qlqel 8ue,( uur33ur1a1 uu8uap ru8ule8-1olgq {nlun B{Bru '^ Ol <-;nlrqndy

':esa8 efiu? depeqrel uu{nlrx.:8ue,( uu8uelnl (unrururu qeltunf ue8uep uelr8oleuerp ludup :nlual ueqaq dupeqrel un8u. .tunturu(u qulurnf 'nlnqBp qlqelrel uurye8uFadrp eduq ueqnturuel rpefrat ledep uep (ras:iSuelu[ u,(e8 teqrxu {sp?pueur e,(ulnqurp Bue,( uB{qar tudepral uu>p Buul8ues edueJ .lpE, ;uEqnlutue{ unleqes uele8ulJed Blpsls ludepral nll'Suldurus iC '1u18urueur qlqel sslrlrlE:nlr Buarg{ 'Eueluq e,(e8 teqrlg ug{qeJ uereseq:ad lseleqtuaur Buul?ues e,(ureueqag

..rasaB uu8uelnl lerutunu qepurrf In:r- tunuln wnluele{ uuldelaueu S'S'r'€ IBsBd 'tue>18uas 4eruf uusqeqruad Eu:dues iq

usp r,qer ueauep {opq {nlun w-'^ d Fep rBslrrpu up{rreqrp ,orrfi:;'#;t"i:fJlt- ,

'[I IeqBJ eped ue4Heqrp uoleq ntntu re8eq-req {nlun w-',r p r;

''/,-lt+ = w''^

pe[uau uelurunlrp tedep F:rpturs{Bru uBreq n{Blraq 7 {mun r8ul ueln8elp eduel

.7,

P

':re8uqas ue:lsntururcruereq 0SZ-g 0 ,lntun) ,ru red SuulEuas epuri000I = .t uEruq uB)plnsstulp IuI snurru urslp{

fi

LE,Z6T,Z00'z6L'lss'IsrEtu t ' .1 O

9e0€9Z07,SI(eaf.I) ".3[ uorag ntnli

S:|ETU S'

^ Q IEIIN tI leq?:

'pq )!f, = *'^.resaqis

'e.(uqeBu;;rEuerrulrp sruBq ue8uFef lerur$lBru rgqel B{Eru ilf + . ',r undnsl e pq f4N; :"1,1 r

*-*.s

qelBpB i'n'g'r't Issud lruntrr-r8es:ad Sueduuuedreq 8ue,( Buelngeq uolee {oluq uped aueaau"r'lur,urs{u1ll rBJef

?peq-Bpeqraq 8ue,( {oleq uBruqele{ ue8uap urnrun Fuq,3ue13uas {Brp[ uup relauerp {nlun ',t @ rc1ru lreqtuetu (y uolee.ues nlnq) Buelnpag uc,r:uu8unlrqred laqur unq".Iqrrg n>InB eped o7'g IeqBJ 'q {oluq reqel undneru ufeq n *Buas u?)ltBpuelp 8ue{ lou-'Y ueEuelnl WFrn[ epud Sunlue8ral e,(ueq % 0 pl sn(uru urrp:

q 000rA^ . rtuers -J9 V

"a. Q

. '(rurur Z0l = rc2.7, uu8uap ?tu?sEuedtueuad senl qe1ep" trtucs'y aleru .ruru

6ZI

(s)

dueryn e,{q

Page 141: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'usndurnl e{ uBqeq ueJntBlued 6.9 rBquB9

il

urel tuu'( u,p nl's-'usndunl a{ u,ryntesrp tunstuel tue{tffi-H|r:?:g ffiffi ufut pqge lPerrq tuef eur'uj tqar qero rssl,qrp lnqe*,,, qera'q .sedH {nlueq ,q=r uendulnl ar uBqaq uurnpfuad etod lnqa;;, i"rrq ,Lna.un, ,rpp ,"ri Iq 8.9 r,qur'g ,E uurtclu^uJp Eue,( {usr uq,lr uutuap wrq rnsnq ]nrrr*, pSeqas deSSuerp rcdup rnq,os ,,[Btu'qer t8eqrel u,qeq lreqp urusele !p IrBp uend..,n, edaragaq eped sruaueu {opq BIrg nA

uep h rnlun u,rnluguau 6ue1 'uedureuad

.s

(.unu ZAF = 0SZ - 8 oO)

r-, EEt = ffi = * * ^y

r uer r",['lfi ]illToT#dtr*H(rturu tol = e ?l zw €g = ffi = ^v

ledlal 00? = ? rylun uelpnuetr

(.,n, tsl = oI dd)

.w 6tI = m = ^v

sssruulEuesrr'pper,,ffiJrll:1'##[xL?,HH4TS[XT.ffiA;Uro

^!E r4u fur r

: re Ee qas ur r

"rT l?, "T,,I#l*yl.:::-:

y,ruep ,, n ses re Eu,( # r*= *, n u*,f, ,* ^

EuelSuas ueEuulnl tuntururur uulelefuaur tuef ryirrq urBlsp slnlp e*d ,,dep ,uI snunu

unu urBIBp tuqEues ryluf

zrrru urur,p Bpu,a ruudtuuuedraq r*^H*ff,H ffil,ffiJt-TE A

la.= v

=cl= ^v'

uutuap(n-r'e)

dqryq tryq ueeuwueod fiaepreseg08r

Page 142: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

I 1n1un ,,*'ll,i]rr1'J?olBq eduraqeq uriluuucua:p tedzp s uep , .g qug uup rsuuuoJu! ue>tsun33ueu ue3uaq

Ioleq ue6ue;nl ueeuecualad Inlun JltB ruBl6elq .g

rnr,re*, ueryusndrp u,qeq su,ru ,, il;?f;; irffi 1ffi,i1#Jrilf ,"[fi;;'*- 'ualtunlueEip tue{ {opq eped 1pspa {spp e[Bq ue.rlp *rr"fIPBFq lul Pq'(sppD u?{nluaueur tuuf Euedueued re8eqas'deia*iprr*q uendtunl B{nurD[su '(qu'g nqutog) rlrsl luBqaqp tuu{ ,nqnar uruod*o1 ,pea ,relaurunetlp Bue{{olBq qBnqes nuw v(,1'9 rBqtuBO epud seqeqrp Eue{ ueEuap rBnsas lrpefral und lul frq qlg

'uendunl e1nu eped p lerfas ;eul$leu h fqru lse:pl gll.9 ,equreC

P) tO't

lesndral ueqaqu.(uepu uu8uap ufqesru r'seq Eue,( Eueru[ ufeE uugeqrud lpeFq )ppp.II.9 JBqurBg

"trBlsp P \er"r uu8uap uullnfunlp tuei( qereBpqeraep eped uy"rt'rur, !p uee.rer(sra4.qll.g uup lrlI.9 requ"D spud urlepfurp 1uI p11 .uendrunr

B)Intu IrBp GIuaJe t8tup) p >prefas tuulqp qaloq "a rr-srrnu tuqql ,r"a'paaas .rurs gpsBqBqlp tue[ rnqruls {nlun E,$qEq ueldqauavr Z.t.t,EIBsBd €&I66I-SIJ INSXS nll suarg;

'6'9 requrpg loleq ;lep Duelurg eIe6 Oueprq uelDelq Ol.g ,BqueC

I

Euelu[ u[uE Euuprq urur8urp uBIBp uuleparyp rur

t8[

'0I'g rBqurB9 lnlueqrq uB)tB B{Eruueqaq uempfued elod uu:penuy

ril

tIlti

&n1un a{eg

Page 143: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'6! Lloluoc pped lolEg gl.g ,equteg

'(Sl OOOSZj f.ff 0SZ = ,,

rusaqas ]esndral ueqaq qsnq snp lraqlp {op6 .uqrBq?rp qeloq l{Puas {opq IEI}I

(,uc ss ,. s7ifiJ?#: ffii = | , ,:ror'q Buedueuad u'r",- .Gtucf>t 000r) Bdht 00? = t efeq nr.;',

'1rtu16l ost) ealt st =,, j uo,rq *.,,SI'9 Jequug eped Br.uals ue8uap renses )iopq qenqe:

:!nqB|a* -

ue'unrr qr:/d T::::rt : -'qe^^Eq uer6eq sueg eped uBqoq ueOuep loleg 0l.g ,Bqureg

'uendtunl olnu, eped pulslew h lsolo-l Z!.g ,Bqureg

(q)

.:::;::::::::,::'::i::::ii:::;:t:,.::,:.::i::::"t:.IIl;iffi

fiuqwe7 uopg ueeunuetad Jmep-rese7zet

Page 144: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

rvovn3w vANNVgN\nnI NVO XO]V8 NWnXn

oNv.tNn v^vg NVr{vN3d Nv9ttrtru N\ilnrN=It

Afi( < fl\'t

ONVI-NI] VAVO VANUVS3S N\DININ3I.

E' s vsyluSw3wNVCr.i3o XV13U UV831 VSylU3d

N\DIHNInSIO ONVA NVON\NNI ONNIH

NV)n1N3N3W 9NVA N3r.10n-N3FtO1^t N\DtruN3l

Ioteq ueeuecue:ad Inlun lrre rlel6erq ?l.g ,Bqueg

,Earat..r.r(- 7) -'^0 , (7170

[TrYT:r'!--*d;d5*d

\)

e/ tl)

l*iiil t8t6uepn eleg

Page 145: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

(rurc L'82) zw f98Z = = *,y

:sslu Ip snuru ur?lBp a{ mqutelp tuuf wT{nsetuatu uetuaq

^{offi=*'y (p) snunr n{BIJaq tuulEuas qalo {nluaqrp tuef rasat uetuelnl {nlun 'urut 0002 - ( redeplp tuelu[ e,let *oarp prfi

(lt laqer) uaw sg.I > Bdhl 9g.0 = 68.0 _ gz,l =/a0-on)= ,aQ

BdYt 6E'0 = 'n O' Bdh[ gZ.[ =

.,r

uup "a 0 <nneE8urqas ( Buerued u,rnruar d:iljiIel:'i j'::iH#,rilXilraset ueEuulnl lraqp s*tq ?IBur ,n

o < o,t

eualuy .?dhl 6g.0 =

,4 pru8eqas uu4edeprp ualt it = 7 uorrq un., {nlun sI IeqBJ rrunuatu

,,r 6)

Bdhlsz.r=ffi =#=.: ,n 0 >

n,t gelede B$llJed uup

oa geltunlg :

N OI'0gz = lal 0gz = ',l = "A

tesndrol u'qeq il *r.q B,nq,s r,r{rrrq (et.2 ,";ff;;X,#lt:ilrffi?,f1,ffi

lPsndral wqaq ludzpr4 )fepp p Swlwdas uunndtun1 qeleqes p ugp ndurn,p lot?g/ runurs>turu tuelurl er(et qultunlg .l

:ueEunryq-rq1

.uelnpedrp tuef rasat uutuqnl uE:I$uaI

:a,(ueqq

'6t qoluoC lopq Duelurl ele6 urerEegg 91.9 rBquBC

tpt 092 = }t

OuWAtq uopg ueau@ueod JssEp_JEsW,81

Page 146: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

l'

sdhr o'[ = qs,.'.s'? = ry = n^

' ' -000002 -i0 >

nn qelede *fpra uep

na qeltunlg .Z

N eOI ' 002 = l.Ilt OO:., = 0S- ' 9'Z nc'm, = A

IrBp IBInur .., 0s'0 rIBJBI uped "4 tu",u[ efet urryudepp ,r,r,#rt1tt". ,lr-::#H'lst osz

- d Juseqas [BurrsTstu tuqul ufet 1udepp et-g nqutog) Auglull vfe? uu:ae,p ue[ 'uendtrlnl lrrep turu 009 = p leretas ueldqalrp qelgq uel8unlrqradp Bue[ auauiieXuj n1 luurslutu Bueluq e,(et qelaunrlft .l

:ueBunlrqra4

'ue1n1:adrp tuer( rasat ue8uelnl uB ruual

:e,(ue1rq

'oz qoluoS lolPg zl.g ,BqulBg

rtlJADl 0O! = in

(,tul8l 0000I) ,ru/lel 00[ = i-Hrpuas lBreq.{nsBuual lslol uEqag

(urc gE) unu 009 = p(zur SS x 0r) zr.uru 0SS x ggt = rt x q :{oleg tuedueuad uern{ r

.(zurcpl 000t) Bdh[ 0O? = t nvw ^, ! efeq nrnli'(ztucf>t 0SI) Bdht S[ = ',.ruo]rq nlnli

tI.9 reqtueg uuEuap renses loleq qenqas uBIFeqrc

:JnqEtaM

0e qoruoc ez

'rBpBtuatll sler(ual (zuc L'sI) ztutu 0lgt = 00t - 0I oo uu3ue1n1 ueSuap .lu!s

!q

(.urc €'rI) zurut iE?, = *:uelnpadlp tue,( IolBq ralau rad rasa8 ue8uulnl

-uur ltuat r_ .

Y

6uepn a{q

(rurc L'9) ,urur Lgg = ffio =^!eT

,*98t

Page 147: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'zruur eeg < Jelau Jed

zurur gQs =00? ' g'0:{o oos ' oor (68'0 - o.I)00s'ct(0nn)Y

Euef uedaswrSaff ffi ,'il:['fl1.H'trili:#'#;i,H"g:;l-Tl,ffi #J {nlun sntunu '.tu/zturu €€€ resaqas rsdeprp ropq Buefued ,.; ;;-;;ffi;=';(.tuc l's) ,unu €Ls = *ffi, = # =

uiariuay

'urunuaru nrt relru u, ZZ,I Euufuedas uep uenduru IrBp rBlnu uJ 0S.0

tuefuedas uslsuo{ na

rc1ru ue8uap ,ut ZL,l = _ ffil _ = 4 8L-ogz-'r

rpt 8r = N ooo8t = oos . ooi 6e.o':/X fi =7,

y jsz,= AtA

--=n

rrunuaur leduprp Bdhr 68.0 =,a 0= { j;10 ,rr*

(tt taqet) ean ss.l > Bdhl I9.0 = 68.0 _ 0.[ =("n0-nn)= rn0

,I^'3,? = "a

ln

r'"to"^;:t'^';';*ni;X]: .E

.rasa8 ue3ue1n1 lraqlp ,ryq u>lutu ,n 0 <nr euarey .Edhl

6€.0 = ,rt

c rc8eqes uulredeprp Bdhr sI = './ ror.q nlnu {nrun ,ii*ra rrunuatu ,,t /

zuu 910, = ffi ue8uap rBnsas ere,(u:a1 ru1

fuetnyeg tpteg ueeuwuered Esepreseo

'OZ tloluoC uep lopq 6ue1ul1 e,(e6 u,e.l6B!o gl.g ,BqutBC

OgZ =A

98r

Page 148: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'sn{erd 8ue[ 3uu13uas IB)rBdlp eruesrs {nlun ugp ruru 679 Buefuedas ll)

'osl - 0I cd Bue4auas ue1n1:adrp uru 0gl Buefuedas il ,;j"i;ffi;;;;:;

BIg)IS urBIBp) 0z'g rBqueg upud 0z qoluoJ uuSuap rBnsas uB{n,I€l,p ,,r,'ffiil3ue'(

Buu:1Euas {Bre[ rry* nt s!:ea ueauap ueauorodraq 1sn1ffif.i:Jirffiflffiifij 'er(u8uulSuas luruf lolap urlBuas.'n f p11u reseq uDtgules uel8uepe'S . n O gnp ;; qlqq efureFu Euer raset ue8uu8el qereep epud uelrselJe^rp tuef tuex3uos )rgreiug)ppletou ue8uap uB{nluallp tedep rur sge:t BTBJeS 'rase8 uesueaal depeq:a1 anlnctue{ueue,tre1rad1udupra1reteedruuBrxruleposJnlBIpSruBq3uu13uasun,3nq*,3

' 'uulrupuerp Suuf Sunl8uas uer8equad uB^rEIeudn:1nc IBpp '(6I'9 rBqruEC tuslep lsrurp SueF uur8eq) uoqnfunlrp Bue,( Buel3uasuulEequred padas rasaE ueEueEq Euuprq senl B^u{Bq ere{ruai irf Oi.9 reqr.u?g uBO

'uBrrBpu?tp 6uer 6ue16uas ueloequod ueouap lpnses lasa6 ue6ue6a1 sppg 6l.g ,equec

+.--+-t=h ol-=-{- ool

eg'o = h (osr-or

/('' I r\.i

'6I'g rBqr.uBO {nluaqrel B{Eru rasatue8uB8at urer8urp tuelep requu8 IrBp qeroradrp sue,(-'n 6'ue{,n 0

,"n rglru-rglru lrec

Bdhl I€.0 = ,n

0 gl IaqBI lrunuatu elnd uenlFuao.

.IBpBuretu ,(u/errru ?zs = 00€ _ 0I

oc .,ur7runu gos {nlun

Bdhl €9.0 =',t 0 9I IaqBI lrunuaur ulnd uur:1r-uraq'rBpBruatu ,ru/zrrnu Lfrl = OsI _ 0I

od .,ur7.ruur gI0I rylun'uulnpadlp Eue[ ,ru rad rasaE uu8uelnl gup qeEualas urueq ..,o, oz?,1Buefuedes

Blefu.Iat 'uuteued urtlr 0OS tuefuud uu8uap uu>lEurpuuQlp tedup efuqer-sler ru3eqag

'zrrrur €g€ < releu rad ,utu gos = * ueSuap rcnses qer(ua1 ru1029

zw 0zg =^!o

oeTl'q 'Pr-ns('d 0 nn)

00, ' g'0027,t ' 00? (6€'0 - 0'I) s.0

L8l

:ledepp luu.ut OZZI

ii

,sn

b

= ruay

tuufuedog

dueun a{eg

Page 149: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

l

'9! rloluoC uelplrrelstp 6uer( )p;eg Z.g ,Bqrueg

OOgy

'l's JBqurBg epud rrBryuarsp tuef uendunl ledua ?pBd ndunlrp retelat-1oJeg

!nqEte)t!q

n qBg lrep uenluelal g L rloluoc'02 tloluoc ueouep lBnsoc 6ue)$ues uqoequred uwqountuax ltrg ,BqurB9

'lZ'9 requpg uped uapste{srp rur uerusalafuad qBnq Bnq

'oog - or o0

EuqEues uBrpnua{ (ruur 9691) ost - 0I od tuelEuas 6 Euusedrp uendurnl u,p r'Inhl

:ugel uemsalafua;

'00€ _ g1sf, efulnfuelas uep 002 - 0to0 EuelEuas tu4eqas

usrpnute{ (uru 6pr6) OSt - 0Ig0 Eueltuas EueleQ 4 Euesedrp .uendun1 l-rgp IBInhl

xn{lreq ruEeqas qllldlp redep splurd Euef uuqrlrd reEuqag

'6ue16ues Inlun s[erool uoleq dnnued speg OAg rBquteg

.6e'o -h c

le'o-h )

Ll'o-h )89'0 = !il I

o'tO'L

llltililil

fuerueg uqq EseryEseo88t

Page 150: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'gt rtoluoC ')pleg Duetull BAeO ure.r6el6 ZZ-g ,BquBC

l.pl 6'46I .= 89' 65'0 - 0'8€Z = i ' resaqas ueleduprp C usp y uendtunl epud tue1ull efeg'uendunl ?{nru IrEp ru 6S'b = p :prefes u8req uped redues

Iqnperlp qeloq IpeFq Euu,( tuslurl ul(ut ,Z-y?-E IBsBd egrl66I-5II INSXS lrunueft

'(pn qeleqas uer8eq) ZZ'g lr<qlreg uped uztrrfesrp 8uqur1 efe8 urur8erp -naqureg

rot o'zti = Ut 89 = | "n = *1oJ unp qg uendtunl

|Ql l'Elz = #,89'sI'I = + nn

sI'I = *AtO urp qg uendurnl

'g9= ln,*=*A

O uBp y uundunlBrBJes us{quelrp tuqurl efet ururBurp lntuag

'urq Suuf uendurnt qrunlas {nlun

reaulaE-1orsq rrBnqas rr,p rldafrq *"oJilYi1r','f"Tilr'l',i,jl g n. sr.r = nA

I:efutuu1url e{et resaq '(ZI laqel) uauou uarsgeol

ErBres uqnluallp EueI {olBq Inlun ru[Blraq E'€'I-€ psBd €]166I-9II INS)S lunuahl'^ tuntur$leur tuquq e,(et qe18urug{ .I

:uBBunlgqra6

'ue1n1.radrp 8uu,( rasa8 uu8uelnl' uplnluel:e{uu1g6

,uI/NI 89 = nat

(tuc 6S) ruru e6g = p(zur S? x 0t) zurur 0S9 X 0O? = rt x q :Iopq uurn:t6

(zucFl 000r) Bdh[ 00? = '! ,t q nn4(.urcpl 0SZ ) ?dhl SZ = ",! uolee ntnl^l

tpr 0.8€z = *,

7, n i .1- tll= AI

6gr6uepn ar{@

tli

L

.i"

,$

Page 151: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'UtUnUatU n/t

usndunr rrsp ru 6E.s Buururor, ;';,:;:j,;= 6s'0 - 6z'z sueruedas uep uersuo{

u 6z'z = 6ffi-;75 =.

ftz.g rDqutDc ytQt qopqas ,oqr)ffi ffjJ : #1. r:r3

usp og uendtunj

.urunueur nn pllu ru LI.I = 65.0 _ gL,l tuefuedas uep

uslsuoF uendurnr Fsp ru 69'9 tuetuedas nt ru[u ueEuap .tu 9r,.i = ffi;7 = r

,tu/N{ g9 = ff,A

taI 8Ir = N 0008II = 065.0or.0s.0 = pQ:;^-; ="A 0kCg rDquog trpt ttopqas ,D14il 51;I gEZ = ry4

frrr4

il-T-=r:Iunuau tedeprp Bdh[ 0S.0 =

,a 0 _ nt

ueEuap rsBIo_I

"n o <n,t uEaurqr, .1fflr"X Hfi[:i .E

raseS ue'uu1nl uu>Jeun31p sruBq B{Bru Bdht 0s.0 = ,a

0 < oa

uuaruy

?dr^r 86'0 = 06.:,:y = !3- = nA

' 0o6tEZ T:.foO unp qg uendunl

'rasa8 uu8uulnl ueleun8rp snrur{ BIBru. Bdht 0S.0 = "n 0 <

Bdhr66.0=93i,,#'=tJ urp og

nt eUatey

Pq n.

T = /t

uenduna

.Bdr^r 0 s.0 r,seqes,,, /,* JI,f ;nTL TI,:i:f ;ffi \f#, I &;, XfA

?dhr,8'o = Offi,,ff = + = od

'A 0 > nnquryde

B",rprdq.In? ": .},$rf,H .z

'ueusl qeleqes uefuq ZZ'g reqwug eped uu:pfusrp tuslufl ere8 urar8ep requegrsr 6' r Ez,r r,:,; gl.";#,111

;r,iNI 9'€gZ_= 89 ' 6S'0 - L'i,LZ = "A oJ urp Hg uunduni

"p"ali,

lidr

,ffii

rHl

flfoaarca wtq ueeuwualed J*s*?teaeo

otL

Page 152: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

89 tu et'r = g57ft775 = lr

"C unp qg uenduru {nlun

uI E6'o = 6ffi5p; = '.t

61 uep y uenduru {nlun

rudep osz-s qp

uped,ep lerueq qrqar uu1n1:adrp Buer rJ#;IrI f"T,:rT,i;:ffiI:

lQl 9.?[[ = 9,9g + 0.gll = (,A 6 +,a 0)

n,r e.es = N o?:s : o6s # pr?tj

:'*l :redeprp uerpnua{ .edI I ti,o =

,; A

llunueru DIBIraq flue. ogt,-3 0p runtururu ?uu1'uas uereleruad q"r'pB u,,ri,f '#irurus6z=# =i= *s

I{BIBp? l'n's'v'E lesBd t0-I66I-sr+ INSXS lrunuau 3ue13uas lerur$lBru r,r,f 'Gzt - god) zurur E,s = epueia*a*rirrJ;,its r{BIBpB.rBpBtuau Bue,( FIs IC

'(ost - god) ,unu

zUnu WE =

zr,uru 7,L' =00? ' g'0o6s ' oot (os.o --6t)= rt*?

uu8uap qaloradrp oJ urp qg uunduq Inlufl 'Gu - qoO) zw tOs = epuet Euudrueued g od s qepp' rBp,ura., tue{ FIs Ie

zw 28t =00, ' g'006s ' 00t (0s.0 - 66-0)-= o*V

uu8uap qaloradrp oJ urp qg uundurnl {nluflZW = upue8 Euedueuad g "O , r{BIBps rupuuratu tuef Fls Iq1

00 . 9.0 I o06sm=ffi=o*?

:p8eqas qaloradp 61 uup y uundunl {nlun'uu)lnluellp tlBpnul uulnlradrp Euer tuzlEuas'7 snturu uuluuntEuatu ueEueq .uslsuo{ on

plp uenduru lrsp'pptu. u OS.O ryrufas ,^qnq qelreq uendunl qrunlas Intun uelnlredrp tue{ EuelEuas *4nrud .t'urunuaru nn

p11u w Lg,l = 65.0 _ gZ,Z Buefuudas uep uslsuo{uendun1I.IBptu6E.63uufuedasn,rp1ruue3uap,*i,,i-J#.];

N[ O.8I I =,A Ql$t zl,Z =

ryr1s3 uup qg uundtun;

ltt&qun dfeg

Page 153: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

pu )tPP-In$ uqquauaul {$un {nluaqlp ledep {Bpp runtulu1r,u usp urnurls)teru uetuotu

urrEery ugplluep uutuaq '(U pqot) uauou uersueol lunuaur tuqFIIp tue,( uup uendurnt

aderagaq sulB IP srueuelu tuuf lopq l$un ufusnsnql tuerpapas m11n-qs uderaqaq Bptsd

lz'g requBc Inlun uesBtaluad

'ue:luuucuerrp tue,( {opq uu8uelnt reqtue8 qoluoc r.{BIBps q41-gruqurug.9I IaqBI uped ueruoru ualsgeo{ uunluBq uetuap 3urur-qJp Suef upturugrad qoluoc

Iunuau uulnpadrp tue,( ueEuelnl ryref edereq usp BuBturp uu1ae,(uetilD?Z'greqrueg'?Z'9 rBqur?g eped requretrp ue8uelna

uutuelnt uqrBqureg 'S

'osz-8 od uBlpnua{ 002 - B qO

z, ulutnluelas sT,l -g s0

6 :J a{ g lreqOgZ- g q0 e^ulnfuelas 0SI - g qd

9 :61 a{ V F?61r{B1sps tueltuas Intun

qgdlP tue,( ue8uelnl ufruypJv'uu{nluallp tue{ tueltuas aerefredeprp etEugas (ft9nrymg) Euesedrp Euef tuelEuas requetrp 'uedntrncatr slreE Bped 'Irpuruaur uste'NZ- 8o0 Z e,(ulnfuelas uep SZI - g o0

6 pefuau ueryqEunrp uerpntue{ gZI - g o0

uetuulnt g tuesedrp uutuaq 'tu ?g'0 = 65'0 - E?'l usp ur Lg'g = 65'0 - 9g'1 tuefuedasuegreqlp snrerl tue,( usqBqtue1 Euultues rqulraq urel 8ue[ uendurnl {nrun

'leperuetu uu>te 0Sl - god Suaeq 9 rpufuatu ueryqEultlp Euer( Ew>18uas guu8uap rlequrullp uendtunl Isls Ip usp 0SI - go0 uetuelnt y Suesedrp ue8uaq .tu

?€.0= 6S'0 - €6'0 Buefuedas ue1n1-radrp C uup V uendunl uped ueqeqr.usl 8urtr8uag

ur €r'r = g,*ft776 = tK

H3 uzp qg uendunr {n;un

,to -h)

'Otrglfuee Inlun uednlncel quBg gAg rBquBC

-__rF

olo-h0

(osa*ol)

.tto-h)(oe r*cr)

s}a =h)oe'o -h)

tto - ht

os'o = 2)

@'o - hl

qw$g uooq weuxxraod fisept*sscl

oyo -hl

ztL

Page 154: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'usndunl B{nu Bueprq yep HI \\$ >1u:egas ue8 as ue8uedul uu8uulnl {B8uatas uz,o _ I

evuselrq Lleuseaeo HcP

::*:i_,"1-,^-:l_r_1,Tjt, uu:F11e8uad zuas uendLm sunrn-8unfn eped suefued dnlnc rue,(

B'tlI{Bq uprufueu {nlun srl{erd tuu,( IIBT.,In udureqaq usrFeqlp Drz.g.rBq.oBc BpBd{leq-{luq ue{suucuerlp sru?q tusleq_tuaeq uernppBuad

UBP uurulSuefuad uoleq {opq qunqes tuelup .ntl BuarDI qalo .uauour *auirgrra Irunueu EunsEuul ledeprp Euef efeE epudlrep rBsaq qlqel uundunl lqap uz8uedel ue8uelmuped {pBl ufuE nlp,( qBlreg uolaq Iopq ntuns uuqnluruel.Brpsls uped efurpy .etues Fue,(tuedueuad .,el,p sele Euqeq uped un1r1 e{eE upedpp;rq ,inrr Bs,rlu,uas F{lua^ Euedrueuad nlsns urBIBp .ulEuer rnDlruts IrBp r{B,ngq Busleq eped 1ua ufet resag 'ErrrBs Euer( Suedueued nles eped ,puprr urrr, ,rnpll .ruelep uatllotu uBFBqppSuauu{uunpal Euer {olBq urupp ue>Ia1 undne'.u 1pa ufea ernqeq rqlllp Bunstuq redvpS'9 rBqurcg epud BuIBlrueI '(€'g nqutog ,mt!il lpel ue1elr ue8uep uB{a rnsnq ntgns ng]g(s'9 nqutog tot11fl elEuer Jnl{uls qenqes uetuap uu{Brugsrp tedep tuelngaq uoleg {olgq nlBns uBqnluua{ Blpsls 'e,hqBq ueqe,(ua1 uetuap uulSunlrqredrp sruuq undrul .zI-

Iaq,r uopunSSuaut ue8uap uB{BuBcueJIp qelal 8ue,( *3*p1 uerrrguEuad {elal sngurals ergcesuDIIreqlP orz'9 rBqtu.?c eped B)pru .)lel>p:d uBqnlnqel tuBIBp Euusudrp srugq Bue[ uendunrue8uelnl undneu uuEuudel ue8uelnl Suefued ueldelauau tudep ,rB, .un*pN .uauour

'91 r{oluoC }opq ue6uelnue4 qlz.g rBqueC

----OHl@ Go'

IprPcpFff.,fg po os i s tf::::r:: I:ra:::B

[[,i';,,iiird e r zll.:.:.: :.t :. ..::Il

&ll rar.z,iI

t@

r@orz+q

retr+ir

retz'"ri,iiffi

I

0

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l. tl

ors

tz1r

'gl rloluoC 'ue6uqnl sllBurols uraDelg al7-g JBquBg

s?rt 1c o@{osr 1eFO?49

*,'( t

tz+qzzAs

a

Al+krArr

ln

@,

taF)

Aqn a{egt

szr*tc oaeAz o6ar%rozlztqa")e

wz

c.ozIz+qale

ry;: '-"

8rl

Page 155: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

DtZ'g rBquBC ueEuapIunsas uu{Bues{Ellp uup ssle Ip uurqnued p^re rru{resupreq requretrp qnz.g nequreD

'T-rep uu-rnlefuad tuufued qBIupB z'zl l,Ilsed €0-I66t-sII INSXS lrunuau R1 uetuap'(*rf + p + 7f ) u83urq srueuetu e,(uesrs uup uendtunl s{ntu tuuprq IrBp (p + 7+)lerefas Jlrp1ereq uu8uelnl yup o/oOS :p,(uuq turpd ,gI( < uuEuulnl Euaeq {nlun

'uendunlqnur Sueprq pep (P + 1il u33ug srueuetu e,(uesrs uep uendurnl ?{nru Eueprq urap

7f ryrufas rrq{Breq uuSuelnt Wp ob1g:pfuuq Eupd ,gl| > uuEuelnt tuepq ,fn un

trBqnluruel Blpsts urBlep qsqrueq Euu,( eie|rsnqulslp B/hqeq duEtuup r;:'# IHH*til"*Epeqreq tuur ,areur,rp uuleunEEuau uBryBIBrrp r?;;Hh?Xr#l ffi.:lT"TjJ[il 'r{e,neq ueEuulnl x r.t) r8tun tue,( pIIu-tBIIu rrongqppEuau rdup.uereseq {u8e urrEunutuuf squ uutuqnl EuslBq IrBp uBr6l8ue[uad tuefiued upq qnd fr1 'erues Eue,( rsr1o1 uped{IDtsreq Ispp uandurnl ueEuelnt Etraeq qrunles nl! Buars; 'us{qar [BA\E rrqpqtuluetu rppnur'tHlpas rpefuer.u lp,(wq tue{ uutuept qelurnfas usp Eqrl-sqn tue,( ugrlllard ru?ns

]H9rIp tuu,( uutuqnt uetuep pwt1p nste nlueua ryF nps eped rrB:FIrptBIp )topq uuEuelm

lu"tnq qrunlas BIIq Bug$lgfiq tuem:1e,(uurnurg '€GI66I-str INsxs tnmuag rnrraauuguaatuefued uBD uunluapl uetuep lunses snJerl sruauetu trn,( uetuudq uetuulnt tusleg

.ll

l,

wl xii

$l

$

., &geraeg tneg ueeusJ.Hed Eseprneo

Page 156: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

Z'L regurcg eped uerylesrp ue{u e,(uqoluo3-uawow uop oKo?-otog lsnqlr$lpar qep pppatLlp todop )tDplt

'wDlDp uautoutSuoK lslot uawohl .o

.'ueurxtunuot Bnp rdupral l$ot depuqret re8ulaE-{opq nlsns us,u'cueJad ue8unrggad .,plBe

seilllgllBduol lsrol uep ue6uegutlasal lsJol .I

ulr-t0egyyy

'lsrol ueqaq ueOuap prle>l loleg l.t ,BquBCI

(rnund) IsroJ,

?

.[

nqutog) (t qeg I'uBIBp lorlB{ Euel,e eped padas) pryua^ rraurs nquns eped {qerrel {:r(, e{uu[ra1 {pp EuBr( u,qag-u'qeq qero u?{lEqHBIp tedep u,prnuep'uerelndra4 .efunqurnsdepuqras *,olo{ nqe retelaa-1opq'*r"rndr"dt;qH, ,prgrrr iuurpuna; rsrol tunurn Br?res

q'pj t/, = I

ueueqaqtued uet6elp

, Tsrot uep 6uep11 ele6 lseulquol 'tstot ueqeg depeqttq rroq"iiiiri iirrrrrrrd ueourylqradl

Page 157: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

GIfr" fili'i';;*i J**:r, #il,ili"n*T:, ff ffi: tr,{I,puv 'qnuad tldaftq uendurnl ludepral rur uendtu.i ,pno B{Eru ffi;-d;;'""d;:; )tBpp q {opq ttep D {olBq BIsltrB Ip 'utlg 'q Buqn {opq eped ndurnllp r qu8ual {olBgseflllqpedurol lsrol g.Z rBgtuBg

t.a reqrrreg uped uqlfuslp ur:p efurpluoCutoloP

u?rtow-uztuotu uop oCo7_otog lsnqu$lpil qap $lnpanp lodop guot lsrot u?utohl .q

_o-- '..ue8uequrlasal IsJoL, tre>lstuuulp usglurep 1eH 'ueEuequrlasatr redupral rpdg r$ol ueruorr rrgl\?leru ledup sruBrl l$ol lu?qaqp Euur( {olBq .uoteg tqad lBqDr\/

.uo{eq ppd qep Frol lueqeqp 6ueI Fet >p;eg AZ rsquBgnrur6B!p-1

Aqryq rctq u?euatrued Dss?tes*O9?I

Page 158: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'u€60rrrort 6r.reA peoed o,edureued nlBns eped ;srq ue6u'6q Fngul"lp rnlueg ,.2 rBq.,39

errqnru'l"sa*ffi ilr,:;Ti#ffi1#i:::HL'h,Hf X,,#;f,#[,JH; qlqal r$ol uoruoru qelo ug{leqHerp tuef rasat uetuetal Aupeqrrl uoleg ue8ueqrun5 'uatoruoq u.r{Bq IrBp lsnqrp Eue{ rSasrad >roreq rnrun epeduep u,rn{etrp Uns qrqel tueFueq uoFg lopq {nlun Isrol ugqeq pqplg rasa8 ue8ue8at uutunlrqrad

EuerupdrsrsuelEeqBpBd*n**-uli?Jil,:Ir[Til,:ffi:t;L'i:11?#:il,ffi1-lnpns ry uqEuupea unurl$pur uetuetal pdepral d.rJa*r"jfi_Fi; *qeEuaued sped

BpBd u,{ueqlp Frol Iwqeqp Euef tuedueued rl,nqes Isror ueEueter Isnq"Iri;:ffi? 'w{.luellp e{ns }ff frrp Eseq .uaEouoq u,rpq iO ,rnOrp tuuf ledure-rtes Iopq {n,un

Isrol depB{ret Euedtueued uB^\BI uaruoru _ ,rA

tueduuued uped (rnund) Isrol ueuoru = Juetuap

.'/yr r

.. *t 't 7 = o stlurlU lrunueu w{nlualP uetuetq Bu,tu rp) rn1ue1 ropq uu8uep ueT8opuerq

'rmlerel uugqed Eueplq qeloradp uB)tB Iu! uerenqrad^puq 'efunquns depeqral ,IInl rna"r Eueleqes Juun.,e., Bqocue., rcdup {ororeu {spp auuiauerg'.1o1or ueelnuuad eped lurtds {nlueqreq tue'( ugl',ol-uslruer u,rleqgeEuau uB{E rur Isror .efunqurns depuqra ro{or tueleqes ruunureu uuEuap ue3teqqradin *arp lur IEH roFq ur?rBp rasat ue8wEa Ingrrr$ eE8ugqas .uupl.ruep ueresetrad;;;d'*r1, lrlpuas lBlreluhl .raseEtuaur

turps uele qesred nr's ropq Euedu,ued ,,lBrrr .tsror u,qeq r;ddi";#,t#-;;tBq qenqes Bug

wpEue,u51u,(ur*r,Hll-ffi1:XHH,il#,fii#';f#.'il,X,:iilI'ffi L#mU;

lurnu lsJol .z

",sorillqtodutq !srot., u?rBrrrpurp uupr1urep lslol IrBp BIod .rrg{ur:rtunureu

? {opq ru,I,p ue.,our IsnqrJrslpar Buar,r rqnparlp qepq { rol,q BpEd reror

ueluoru uep r,{tul"e.. tuer uae **ffi ilf,,l:ffi trf, ffi'lrt:ffi Jfr ffl#trLtt(tgun4) 7sto1a, ii

&

Page 159: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

.t'r::

rsueurp qBrBpB .r uelsuupes ,rsesrad Euedueuad ";f:";:{::3r:l:1#r"lr:ffiT:"J$'l uuEuep 7 nele; Sueduuuad 1nluaq eped ue>lrBseprp (go-toor-slr INS) S zZ-n.E) snund

(zzt't)

"oIlpefuaur qpqrueq u,tu{nruaq (ZZl. e)snuru Breru '0 =

nzt ruplreq rrunru rsrol rnlu6 'ne[up1p Bue,( Bued-ueuad ,pra ,[raa

8ue,( 1srol ueqeq uup Euqurl ufu8 e.(uupe desSueEuew (ZZn E) Iul uBllreqlp Bue,( sn1lln6

(zz-v'e),=J SI

T

sI'\ ,

T)= J

+I

K14

:lnllreq snutu ue8uap Suntr.qlp sruur1 uoleg qalo uu4Suequrnsrp 8ue,( Isrol ua1llotu lBnX

uolaq qalo ue>;6uequnslp 6ue{ lsjol uauout len) .g

'uslen{a{ rs{npal :oHeJ - o 'lsJol ue8uelnl qalo uolSuequnsrp Suuf leurtuou rsrol ue(uotu lBn{ qelepe i'uo1eq qa10 uu>lSuBqunsrp Suef luurtllou rsrol uatuo(Il l?n{ qEIBpB 'J

fizl'il "l +'J = "luu8uap Sunlrqrp Suef leurruou rsJol uetuotu lBnI qelepe "J

'ngfuptp 3uu,( Suudueuad uped dnprq ugqeq lgqlre Isrol ueuoru qglspe ,J'ne[u1t1p 8ue[ Suedureuad upud puu uuqeq lgqlre rs]ol ueruotu qelgpe oJ

Irurs rp 'J g,l + oJ Z,l = "J

u8Surqes 'ne[u1t1p 8ue[ Suedtueued eped roqepaq rsJol uauour r{BIBpB nJ

ueEuap$z-v') "Jt>"J

rqnuaueu eSSurqes edru uuDtruapas.uB{?uEcuaJrp sru?r{ rsJolIuBqaqp 3ue[ Suedueuad ?,t\I{Bq uolntueuetu g'g'n'Elesud'sslu 1p uelSuecurqrdlp Eue,( uspque8ued-qrue8uad uulSunrrqreduaur ergo rre:[runluurrp tr€ qBB g0-I66I-sIr INS)S urBIEo

uoFg nlnu wplnuap uetuep uup uolaq {lru1 len{ .c

'ne[upp Suef tueduluuad IrBp {nluaq .q

'3ue18uas-8uu1Euas uep Euefueureu uutuqnl qpFunl efuepu .B

uped SunlueEreq rsrol ueuouluqDrB.rase8 uu8ue8al 'uu8ue8el-ue8wEq Isnqqsry {nlueq rqnreEuadrueru ug)IB 5lquaras'ItElu eues-euiesraq {Bpll ufqnqurp Suef Isrol ueqaq uup Euau11 efet tBqp[B ntl SurdruBs 161

TO[Bquer88urta{ ugp uereqela>l Brslug uuturpueqred qelo grueEuadrp tuef loor ueauriai -q

. dupuqral undnuur 51opquurBqatal uu8uap srunl turpueqraq uup Euetuq efu8 qelo Inlueqlp Eue( raset ueEueiel .B

irlAnuea uopg ueeud,uared resekreseo glt Fl,'

Page 160: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

uB{B Eu,lEues qelo u,m,rrp sruuq Euer ue.,,o.., pep d1suu4':l#r-ff"d::X"?if,ir: uu:punErp uule EuefuBuet, uetuepl uup tuultuas rlultulres'Iqedrp Eueref Frlds ueEuupl'srDprd rruselu-uusgl? uuar?X .prrds uuE_uept qetgpe redar aurrca HuBr( ueEuulnl .u{u1uy','l rBquIBg upud uuplnfunllp uB)tB und p1 '{o{or tue1eq u#>lnuuea r3uqne3uaur Bue{ prtds edrueq Isrol lBqpIB uetue8al etoa eielual''rrlundrp tuu{'roror ue8uecurqrad peq

lslol uBouBlnl .l

'rsrol uaEuepl ue1n1redry Br,ru '! 0 .t ,uq urBI BrBr ue8uaq .rsJolueEuBEq ue/h?Ieu dn88ues uB{B {ppp urpues uolee E;du,uad;{d ir-rrii i*-r*un

qzq vre1rlp "J 0 lvUu-IBIIN gI IeqBI

urnlauerrp Bue,( i d pr1u 1,i..l 'ffi*.EJ '(€'Z'€ lDsod t0-1661-SIJ IVSXS ,Dtttt)9'0 = d uelen{al rqnpar Jol{BJ us)HnsBueuue8uoq .uoleq nlnu uped tunlueEraqefuuq 'q uep q ue{llunce{lp "l IsllN

'gedue r6as.red lo;eg g.Z rBqueg

Gzzt'e),.,[#J = iIqueqraq i {nlun snunu

'4=Knep q = r uBtuep g. LJBquec q?lreg pdularEasred tuuduluuedraq {oluq {nlug

'l-IolBg g.z rBquBc

ri

lir

6rr(tgun4) 7sn1

Page 161: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

$tz-v't)'{0'rr'rr tD 'vl0 nele

--

= s

yTtbt= r

{nruaqreq r8asrad Buedueued lo1uq Inlurr i snurnX

os.r>f+_l=,D

lq .')rtasred Euedureued {oIBq {uun nu1u E r

[T;l= 13

'rEasred {opq rn*n ,q urp ,rr n tr.Ir uep r( eped ,,H?nrfrt::it,;'{?i}ti#i1; uetuotu uefequled J?seq uu{nlueuaru Euer ueEuepq nrens qBIupB b L"rrgrol efrueuagag

'ropq rrBr,qare{ uep uurESupe{ rlBrs urBIBp lusnd e1 tesnd {BrBf rIelBpB L'L JP"qurcg ue8uap rBnses 'rr u?p r( F*p rsEunJ ,r8nq$ urirg*1 nlBns = b

psnd a1 ,,snd lurur wpp, s uup s 1e:eras ,rf,':ffi1',T'#:$JiJ'"'iHli:il = ,v

ueEuep

Gzt'e).fr

Ik'b-T=r :lruureq snruru uetuap uB{nlualp .rsrot uu8uulnl qalo uelErreqrrrnsrDueuroru leru[ B^\rIEq ue>ldulueuau 6.g.n E IBSud E0-I66I-SII INSXS

Irl.s.1tf+tq.*lr=,,1qaloradrp L. L ;rzqrlrzg IrBg

'lsJol IBqHB ,ue6ue;n1 eped 1ue1 eAeg y2requBg

tue{ pururou rsJol

091

Page 162: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

Qtzil'l 0

(eanD uoleg ntnht

qfl vre1rzp q* i d ptW 6I IaqBJ,

'J 0 pep runrur$[Bru le11u-r,s11u unllreqtuetu 6I IeqEI

rue,( In,uer q?r'ssru ueruap rBnses r^yffiIffir[t#t#r:?l'Jrt r*iffrffifii1 'rncuuq uoleg lunleqos qelel selue redecueu uB{B rsJot ,rturint ugrxrurep ire8uaq

."J v >'J

(t)

rIBIsps n.6.g.i.E lewd lrunueur uu8uelnl qelo ueltlruqurnsp tuef leunuou rsJot uetuotu 1grul uBp runuls)tBru IgUN '8'r ruqrrr,g epud {uurt lrsp usrurunlp ledep (D uep 19i snurru -rirp " *i*]1r,,*

^! o'p. 'q 'q r

lw,'11n=vnsle

s ^{ o 'rr 'q'r, r

=y

ptuqes qaloradrp Iy 1n1un .e1etu ^n 33 'l)

ffi='Yeuarqtr(vvzt't)

.f

w'vz=Vpefuaru Wqrueq GZl.il snturu rtasrad Euedueued IoFq Inlun

@z-ye)t='vz=V

(s)

I_r*d lrunuaru 'rur tusfu,rueur ueEuelnl qBl.,nf .dnlnuq Buel3uas ,"r"*urflJ:fir&3r1; Euufuuureul Eueleq Euusudrp qnd srueq'uuplrurap aruces tue4iuas uuEunllqrad turdrues rq

fto-i)T-iaw,=s

lrullJaq pEeqas EuulEuas:pref uuryedeplp uu:p.nluagat Eug)lEuas JalaruBlp ntuns lnlun rrBp

!or,trq,rc s

EEf =TpEeqas r-prJeq s lerefes tuel8ues ueEuqnt us,u,cueJad :ptu6

"J,0 -"J =tJ0 DIEIreq slpur Inqs1e{1p "g g wp L Elg

!91(tgun4) ptol

Page 163: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

r

-u,qag r,Saq upp {opq uurru[n .Eueluaq Buufued .squq ler,fs-]er'^, nrl#Itr#,Jtr] rylI '6't rBquBC BpBd rrp uerturp uBIBunEp tedep rsrol uetuelu uglguecueretu Inruolsrol ue6uetnl ueeuBcuelad Inlun rlte uer6e;q .g

'ueEuelnl Eueleqas uuryeduprp snJBrl dnlnuat turltuaslnpns deqas IP 'nt1 Eurdtues Iq 'uru 00€ &saqas ueEueinl Brsrug rp uEEuor urnur$f'ru )tur?[ueEuep uru ZI rqeurBlpreq sruur.l er(u:pprlas .Euesedrp tuuf Eurfun*r* tue,,g

n -

'uru ooE lun.,l$[,., uutuap aff4 rBsaqes '}'g'l'E IBSBd ru?tep uu>ldqelrp tuul8uas pun$pur t'r'f

=^!, - .orn fsa r

T.q- v

sueqEuesuetr,cuaraduutunlsred',t:q**;H;ff &:1#?[:#J*"i:[fl#;'** 'pEEunl p1e>l Ewltuas Euedtueued ruEeqas'y *1a,r"pnuupu?t rxq Eueltuas Euedueued ruEeqas uel8unlr-qredlp ^y .lul (gl-f.g) snruru urBp(I

T.lE ! a

q= VT,+ V(gr-r'e)

userr,cueladueEuu*,Y',#:lJur-,r,*,ilT#J,'i.y^;Hlji:f ,ilIJ#ffi*HSuulEues ederaqeq Euusedrp srrrurl e,(u:ppues B{su, :Krr;,(#)f . irug

'lsrol uetuelnl q,Iun[ urnrururrr upd pdupral .ueEuBlrqqelo uel8uuqtunslD tuuf [BuItuou IsJol uetuotu lun:I uup runtur$[Bru rqp turdurBs u,

'b uelnlueuaur Inlun )tuerg g.z JBquBg

gz'l

09'l

9L'l

->\-$

o9'z I

T

l

ri

rl

,ll

fl

duerww tqeg taeu?Juaned tmep-J*seoz9l

Page 164: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

U

E

w:rpufuou qeqruag selB Ip snruru rEesred Euedueuad {olBq luun 'nlnr{Bp Wqatral e,(eE uerteqrux

EuntHEuaur uduq puf'uo1aq un.u uep )topq uern,In r,r,p ueln1uer1p tedep rur rsrol ueuol\

(t'g'v'e psu4)o -'*i o - "t

rIplBpB uaruoru wqaq dupuqral uu{n1uel1p sruuq tuef rsrol uetuelnr r{BfunfqotBq sslllll>lBp uuryelEuruelrl uep uur1eler Isququratu {ruun uelhlradrp iu tsrol ueEuBInI'lsJol uuEtrelu runrururu lreglp sruerl idet {opq rfr* .ue14ar rpepq B{paI

Isrol uauour upedgep J?seq qlqat sfursrol uauroru uultuupas seli[q$eduo1 lrroi frrC+ffluer ldat roFq-)ppq ultq 'emgeq w{nluatlp il.{sxs BpBd '1arr ry1nq eped *qrq ndunuaduE8uurp I,ru,I eruueeu,cuarad {nrun u'p ue{Eqerp auuas u?prFrap rsrol {nruaq :r?Dt'rdruB[?(I 'uBuBI UBP IJPI lrBqeq uuupaqrad ludupral upq ulnd Isrol uBqeq tedepuatu ueleund quEuel {olBq elufruel '1sro1 ueqeq lzdupuau uurp ,eluul tqad npra iarr )rolBd ur-elastunwn BJBces qBnI .se1e[ ueEuap lprlllral rypp lpupa Eue,( IsJol uaruotu qe{deray'

'uelEunlrqradrp nples sru?q ueEuuqruresa{ rsrol .urs[ slzl urarrO 'Z'Luep I'f, rBquIBg upud PI qBq IB/ttB luelep qoluoc pedes'uuluol8un*a- {spq rglotueruoru uuqeq lreqlp Euer( JnDITN rlenqes eped ueSuequrese{ slrg uB{qqnqp l$or a"p"rlr"uggsluerued efuunr.rrn elsJol ueqeq depeqral us:1pad1p nlrra- uorrq rnDlruls Buer.rrulrg

lsrol depeqral uEBsllrauad .g

1s.ro1 ue6uetnl uBeuBcrraled >;ngun r;;e uel6egg 6.Z rBquBg

(E . t-

[_1/}) , 'urus

)e = r:

l+ t+ll

89tQgun4) ystol

Page 165: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

(azz'F e)

^! o',, 'rr tq

W,'ffi='v n{Blreq Buefuuuaur uu8uelnl >lrqun (4) snruru lrunueltrsrol uuEuulnr qe1Eun141

'qnuadrp efuuqarur($ed ,l 0 ? > ,J 0

tutuN fil ' l,II ='J 0

ururN 4r .

e.€r = rurrpr r, rr' ! iqt#tt'fi*it f i / ue1n1ual

'ueluuntrp nlrad lsro; uutuulnl :L > "J 0 n^.uN egl' sz > ururN {I' ?,lr = egl . I.6I . g:o = i O

ruurN e,r ' r'6r = 00, . zw. .(#) = iuru00r=I=q:edlN0Z=,,!

rzQ [#J

= i) d *lnruer -z

tuN{ SZ r?seqes ue{lraqp t

't

't

:rf.i*,*

J uB)lnlual .I:uetunlgq-ra4

'uaplredJp tuur( Islol ueEuslnl ue1n1u3,

. :u,(uqJq' B rB nc ue' u e p E u n s E ue 1

"'i:l,:HiT#, iH ffi, j :rt=?fr r

;o"fi

(3,uc 0? x 0?) .,uru #xH':,,:[ #i]#i]:*k:lirffiffii#3!nrlB|a{lq

ta qoruocue6unl;q.rad qoluoC .L

Elq! I ' J Q IBIIU-IBIIN 0z leqBl* t c pttu-prpIrBp uBurqEuar uuluequeu 0Z IagBtr

6t'o:,LE'ogg'00t'09Z'A

0gSZ,OZ:,SI

ff* rcteg ueeuwuand $sqd*a*o

,9r

Page 166: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

o@ 3 ruefu',ueur *3J;i"rffi?#:"Itr;';:,#:: ; iii,:r*TfiT"ffj

ueEuelnl qr1r4 .S

.uEnf repBrraru undrur uBp urur SSI = 15,*TIE rtBIspB

ua[ruueueuEuerTBJP[.uIul0ognqs#q3IEpBtue13uespuII$leu{erBf

'SU - 0I d Intun rBperuetu su1e fp terefg

,wst=tffit=+zluul 8SI =6L'Z=tVZ

^{ E r .uur rluar r

r.lBIupE rqnuedrp sruBq srrr trrl; ;:-*,- ;,-;.eol ' g'EI

00?'g'0'}tE'6L'a.i

'[Z tloluoC ,{olpq ue6uelnue6 Ol.Z rBquBC

szl-ol oC

atoog

urul ?El =

zurw 6L = 0I qo

nles 1n1un ,y

(io-"t)6=s (9) snuru uu8uap ualnlualrp

ledep 'or 0 ruseqes qllldp tue,( EuulEuas {nlun uulnlredrp tuer Eue4Euas {r*r (zuc 0.6) zruru ?06 = ZI s0 g qBIBps reperueru Euef uuEuepj

(.tuc E'L) runtr 1s2 = ffi ffi# = ,v

I = b uu>pedep1p g.[ nBqureg eped {gBrt lrunuary

trtru0Ig=(0I .f +W)Z -00i= rrl=rq.uru 0I = lfl Eueltuas qelduEtuv 'uru 0,? :g IaqBJ lrunuau uoleg dnlnue4

'sc,nJ uutuep EunsSuq uutunqnqreq ryl uup tupq uuEunltull BpBd rylelrq ror,8

=.t

99t(tgun4) pn1

Page 167: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

(zzt'e)

(s-t'e)

t=A

,'.) * ,t

=A

8I'09I'0sI'0€t'ozt'o?trq *'l 0

s€0€SZ07,SIGdIAO uope nnl^l

usp/aI A,Ir-J.\J

ttfl urclw * "J 0 IBIIu-puN rz IeqBI'ttzq v,,Pp o i 0 Ptlu-r-B[u ry>rrry[unllp Iz IeqBI ?p,d .gI IeqBI eped ir,{unlu,crp tue,( uetuep I,nses 'our11rr1np"rrp auei i &fi iorn, qspps ul,t {Bpp rur ui(uqnttunsag

1,.(#J] ,, \ L

{nluaqreq lnge$at lerefs ltasrad loleq Inlun

l*,o [#l ,. i L

Iqnue.,,e.,, u?rl,s? u,{l,qulp qeroq-ryuFar tue,( Isrol ,,IBur .rsro1 *rfi:ftffiffi:# Iseurquo{ leduprel Blrq ?^rr{Bq uelqf3uetu I'g'?.gresed E]I66I-SI; INSXS lrunual4l

Ip ue."o." ueauelnt u1(uepu uetuep Burqruq und unpuqrrp ,rallT,LTi::ffil:jffi Ip 'IPe['q EuFes tue'( IsJol uauo., ralr,Jd urqup Btrq,q us)nnqeslp r[?rq rur unraqes 'IrBIrIEIrun[p srueq (qereas ?uu$ rasei ueEuuEel reseq 1s1s Eueplq n1es r{BIBs BpBd

II.,B E ue,,,r >r"'ar {Bprr ,,dup (u{uruu1p,*'i$ ;ffiilIqT# ilrlffi'fi '"ffi L#,f;* tldurpaq lnqesrq rrBqeq snpq qelo rru{lngurplp tuu{ resat uetu?tq rIBrB snpal 5lopq 1qs Eueplq nl,s IIBP. sped s{BuI Is-rol orp a-"au11 ufut Is"ulquo)t ue>pudupp qrg .tueluIl efiet undneu loor orryni*ur* sluBII Eued Euudureuad ufuunurn 'Pefrq u,[, r,prt 4duruq r-"_--..rl*, .u{rqqlurd ur,,,.,Euelull erte6 uep tsrol .g

aqryq wteg ueeuauaod J*s*p-Jeseo99r

Page 168: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

c=l

.rresred {opq nquns ueu,r,r,rT,:ll

",* o{EfjUlllTffi*:l?iffi ,,,,,,i$ 00[ = "-{ u'qtq lreqp rolug 'lr Lruqtuug uped Euudrueuad .irt*,i rcnsas {ol,q r{Bnqes- :Inqqe)Ilq

ze qotuocue6unl;qled qoluoC .6

ot0 -nJ = i @ lsrol uetuoru BSrs rrup ,A^0 -nA

=,Ad tuelu[ elu1usrs depeqral unlnruel1p ueEuelnl rrulpnrua:l.uBlrqnparrp a-*f i O wln O *r* *iunl*rra nlans

"d_.qUIBI {BpIl Isrol uep Euqu11 ufuE Is,ulgtuo{ depe-rye1 ueau'rnl u""*ru"red rnpasor4

L9'O={= +t' r':T=T rul,Ireq2rylon

uul8uepas S.I = # q,Ireq ,a tlun J T,Z

lordrsar un,pdueu sreruar 'u,{rprp,n{,o lur urn*n*,raffiliffifi1T* ffi'#,* ffi

$zzt'e)

(vs-t'e)

lqlraq pEeqas sflnllp tedep sele IP sn..,ru ,,l,ru { sg'O - p deilE'eEueu ue8uaq

, .=A

qq P,q ,

T=E= J

TqueqJeq sele [p snruru rEasrad Euedureued {nruntr5

= ,c

p^qb qtpp, I&rgl rr,p rasat uetu'Eal lErs uopunqnqtuau tuges tuef JoDtBd

L9lQnua) pnt

Page 169: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

F.

+rulg l^x

+-

:,f-nqrr,ng uDlnluauehl Zt.Z rBqtuBg

euttu 00S2906E = zC 3eurr.u66S4E?EZ= %ogEtulttooosZ9gl= \ I

'zrrrruN s1l.L,gl =

r.uN{ L'gl =4gI'0'00I - an.{ -nJ,

urur [9I = g0Z _ gLE = a

uru ggg - izultr 00St8I = d3

-

zuru 00szg.ruur Qgggz1

=oc=I

nquDg ,uttil Suuduruuad uuo,(-nquns depeqrel ng ehelsgllsl'ueqa qelo ,rr*r;!.ii

, NOI .00I=N{00J=nl=nAL urp )1 *lnrura .I

:uetunlgq.ra4

Isrot ue8uslnl uep rasaE ue8uelnl ue{n1uaI

:e,{uelJq

Gurc6>t oupd edhl otz = ^! ,lnq rynhlG,rcFl osl) BdIl[ sI = ' ./ uoi.q nlnw

'ez qoluoS ,Iolod 1l.z rBquB9

duryuq wtq ueeuwtnod rmlp_reseo891

Page 170: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

(p) snunr uuEuap qaloradlp ur 0'I Euefuedas {ol,q {nlun rasaE uetuelnlrsrol uutuulnl ugp rasat ueEuelnl qel8uruH

,t

u,-N fiI ' l'61= 00S ' 'OSZ,

' Zg,O = lfl ,1':i i', r{BIspB 6t IeqBI lrunuau *,J 0tuurN e}I'L'II -urNI L,U= 0.S_ L,9l=rt0_"l=rJO

N00r0tI =pQ;':';iiN 00069 = tet 69 = Ig - 00I Jt O -nA ='A O

'l 0 uvp'r1 f ue1ruua1 .€

_'ueleunElp srugq Isrot ue8uelnlurN{ L'gl = t , -U1 0.S = ,.g . 9.0 =,i O

urN)t ,'g = nnuN ol.?.g = 'J

=1

ru[Blreq (ZZl-il snurru ue8uap IBnsaS

'ueleunErp srueq rasaE uetuqnl}QI 00I = "/t > lsl 0'I€ = 9'[S ' g'A = "A 0

lQI r0I ' 9'IS =

€200'0 =rurur ,gI ' 6'9l = (09c. {s7, + 00s .figz) =

uIuI 07, = 09 - 00S =utu 0SZ =

BdIAI S9'0 =

tJ

KrrSp

,tq

9

TKr* 7P^q'J uutuep,

=A

pEuQas q'rreq'# Pr'rr,frxr# .z

I rot'oor )r,[ \ pol ' L'gr ' tzw'0 ' {3_L '. 'J

0w ' osz ' sg'o

691(47un4) pn1a

ii

l'?l

-t

1

Page 171: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

r-.zz qoluoc ,IotBq ueouqnuad gl.z rBqutec

(tt{r, 3

',ryt t

-'u'rur2 0 = 2

[+l ,= 2

. .ut/zruu zsOt +'

,wlTwut 7pg

,tu/zr.uru sos "

t,

gc

Kr* 3

I

uelrfesrp uB{B u,,,o,i' *#T?r:ffj= ool -?,r

,O Euesudrp aunrffi*:jJ,ru/zrrrru ZSO1 (p8tuq ppl

Euudureued) EuelEuas qrunles WFUnf

e Euesedrp Euer ,*rlHrl"*;fJ,"3zt 0 twtgq relaruerp urnurlurhl

zunu If,S Euufuuuaul ueEuelnl qepunfueEuelnl qelr{llld .S

,w tLs = tiiur?-!,rrf* fffi = ,v

^! O tro tKrr r

W"klT=V lnllreq te8eqas uelteduprp rsrol depeqral uulnl.ladrp Buuf tuufueuau ueEuelnl

pEEunl pp1 Euedueued IrBp r{B[runf

IeSSunl ge>1 Buedueuad rpefuauqeqn1p zuru t60I epuet ga1 Euudueuj6

p8Euu ppl tuedueuaduulnlradrp tuef Bueltuas tuudureued Wfurnt

(1u8tun1 ge>1 Suedureuad) ur/zunu g0g = nZZ _ U dO

nze, = _ .r

raretu,le .s,z =n uulredeprp u,p 8.r r,qur', ,o#loil,l i;ir;'rr!r#,Xi:fr"x??';

io(9) snuru lrunuaru Buel8ues Brstuu )turuf

ultu 80, = W.Z - 00S = I.(

r{BIBpB tuulaues resnd e1 resnd_1erer *, ffi,;!tl,r;ff9; 9T;'; tueduruuad gep JBsaqrel auer fasrad Euedueued uerEeq upud Euusedrp ruo, uu3uqn;

(epue8 Hs{ E.uedureuad) ,u / .ruur p661a|z ' g'0

't o'K'x 'v'r,

00r ' osz -Jflo= ruay

m=**("n

d - on)

^!o

0t teqer)0w '.0s7,

00069n

duEnyea uopg ueeu?cu€red r6epr6eo

*rV

09!

Page 172: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

til

tdsf= ' 'l{

uB:lludePlP ndrunllp eruEunfn-tunfn tuuf ropq uetuap rBnses zI laqgr lrspIIquBIp rdep ldat {opq {nlun uupllruap uetuaq 'ldar loleq uped lrdef u"-o* i"r1npri".{nlun unpunErp qeloq r$ol uaurour ei(uusag '02 le$r upBd us{Feqlp iJ

d pttu-t ilN

uSSurqas 'lelol rsJor uetuotu rrBA\BIetu {nlun uetuelnt tuesedrpsruBt{ lsrol lu"qaqp Suer( Iopq BpBd 'useuucuered ueEunllqrd ur?lep rre{sueqnTlp srugr{mqnns uauodruox uesepqJ.d dupuryet Euelu|l u{uE uep rsJol uetIIoIII F{npal qnretua6

0-"J

pefueu ldat :lopq epud urnurls{Bul l$ol uaruotu r$lnparau {qun ueryrfiEuauEg'?'E lssed E0-I66I-SII INSXS uped .ueDrluep rnDlruls ueuodruol {n1un .laarusupBe{ ruepp ueEuep Eurpueqrp lelEuluau qlqel {qar )rBpp usBpBa{ urBIBp rdat lopqIsrol USn:IBIaX 'lslol ueqeq ludepuaur lnqesral ruqureE epud ldat :Iopg 'sallgqpudurotrI&rol uglua8uad uesulefued ru8uqas rnDlruts ruquru8 qgnqas ludeprq €.[ rgq{rrgc Epsd

sel!ilqlledurol lsrol .0

L

'qnBf qlqel ne[upp {gpll mqesr'4 rIBlBSBru rw qoluos ruslsp .untuB1r1 .ls)IIUa^ qerBtuBIBp Eualtues lqnparcur rcdep rur Euel8ues uuEuesBrued pqpp efueuaqes .sqarool

fas Euupuedlq '(.ruu Sgg) Nz-11df, Euultues Suesudrp und rur r.Iers eped ?dsru .lsroluauolu IPU[rat uE)tB Isluosuoq I{BrB ur?tup rEasrad Euedueued eped ugrglurl

'ZZ rloluoC eped ppq ue6ue1n1 ,[.2 rBquBC

y-y ue6uopd

ssle lJep >leduel

?7,

T ,lnn

[+ t*)] ,= *'lo--'l

[+ t*]l

t9r(41un4) 7sto1

Page 173: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

(zucp>t 000r) Bdht 0O, = - ^! efeq n1nry

(7,uc EE' *l,Jt:#l l'8r'$ildi,;#3':J.,H ,ur/Npl 00I = nu ulet 18eq:al urqrq qBIspE {oleq eped ueqag -91.L rBqruBD ue8uap runses {olbq Jnqnrls qenqes

:lnrlqa{Iqge qotuoc

ue6unl;q.rad qoluoC .LL

seqgpeduo41s.to3 ueeuecueled

r;;e ure.l6elq_ g!.I ,eguBg

stu'tt sqrlrqrleduol rsror ueEuap ;:1t'#H?r;ff1,ff''iT,'X""ffi 'Xlr1[:',:.,*'o'uqelapuad uaurou rulru {qun DIBIraq {Bpll

.qgpe8au uaruoru {nlun Dplraq efueq .B

undnep^ .(z r roqer,, ;:,Tif ff ;r; :#TilXXffi :,ffiX,T:,H:fmru;:*

Hir,Jil:Yf#I^,:'#ffi'fi .?;,?,;:yru*'**:[';llm:r1*,**I E (E )l I

L7fr l.T,ll 0 z - "* i o c, = i s rperuatu',f^

Trrolrqnparlp ledep,

rtdz{^ efutunurp .i ltrl g ueEuap Burgs ugrtgllp tedep tuef tldaf ,ruffi B{Ptu l1da[ra1 uendunl e{ Isrol ,n1n1r* iapiiorrq qrlo *lrnr,srp rur tJdaf ue..,oru BIrg

I

I ,"or"o"r ,*rffi-a-l

____r I i r = "1, ,*r", u*,* I

t&El] ,='{u"to=nt

ue6uep ;de1 ppq Inlun n1 6un1rg

duetnyeg uopg u eeu?ouoJedr Jes ep-JEseOz9t

Page 174: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

UIN{ Z,IOT

UII\DI E,$OZ

qq uefluedul

= ,0'S ' 00t

= z0'S ' 00I

urN{ g'gs = 8,62. Z ="J Z =rrqntldef uetuotu rre{nlual

+ = tb{n*

+ = 'd'tnh[

',tnn + =

ueruour ueryuduprp zI laqcr rnl,Ia.u B{Bru lrdapal ufuEunfn tuer "r#;T';3ilI trBrIBpuBIP lda {opq ulrg 'uend.,nl Bnp sele Ip {opq {ruun nrsueq {Bpp zI leqgr.

{oluq uauotu gel8unlq .Z

'eZ rloluoC eped lqeq rnqruls g].2 ,BqutBg

V-V ue6uotod

ue4udeprp B{Bhl

ueuloru uep ,ynot + = '* y(

9'0=p lurtu00S= l=K luru6gp =q=rle4ry gZ= ,,{

I e .I r .)l--".1.,'= t#)] , =L

'ldat lopq uped ualaar pe!a1 BIpeI i luor daurou up{n1uaI .I

:ueEunl!rlrad

-rorBqu,Bu,cuer*;Tl:'t'jril:i,;'#:'L:#""#,ffi ,ilffi JTffi,;',"il,:Ai:T;

:u.(ue11q

sqe pep >ledtrel

89I(tgun4) 7sto1

Page 175: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

EunlrqrpEue{",*".,H::'5"}',J,i#{;::Tlli#HHr#ffi "13;11[:13_; url\pl E,6Z =

nJ =,J @ Uped rrB)tJBsBplp sruBrl rsrol ueEuBlnl uBEuecueJad

$at {olgq {ruun lsro1 uetuqq qrttunrri .s

;rIBIspB u,,,"luelry ::^; :,";,ffiobzz nuq zz,o = ., _E'$OZ , v - e'goz-=@,',l,* |

uetuotu dupeqral ueEuedq ueruoru ugr{sqrugued resagurN{ 6'ESZ = 9'8S - .0'S' 00I + =,frru - zlo,n ! = .r,;.

Ipleps us{tuqFlredp Euu{ uuEuudq ueruol^JuuEuedq ueruoru rIBIp[IBqrad ,.,

ouarwq wtq uaeu@uand fialp-r*sw,9]

Page 176: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'eAulqal Ouugur 6ueI rs1ul-.rasa6 ueOuelnl L.g requegIU,iil ,v

!slutJasa6 ueouelnl

efua1aq 6ueA lasa6

de66uerp 6ue{resab 6uep1q uep lplar

uPsapueu epolel^I 'lpeFq lEdep dslel req 8uern13ue,(geraep eped {qar ueuq8unuar Id,,a uule 'r33up JIlBIar uelasa8 depeqral u'r{ul u,(ep ie,(undruau 1ei", 1r, Bue,{ uoleg undneprll

Bpaqraq suer nl{ez*p,o r",T;;',;#?ilHH[iHLTXI;HIrrffii[ ; ueldereqrp Eue[ uB{qar nutu BpB Euei *pri .B

-e,teBuurnp{ued,,r;!',it:U#l}:l!Eif fi ,::'ffiHH,i,ffi fr'ffi:ii'^* ' 'lpBFat Suns8uel 3uu[ SuFr-tu rase8 ryru rdeEtueuau {spq B1,,el,,al uep tuuru qBrB IuBlBp {lrnl lr,qnluruel qe8acueur Buer,sraq er(uuq I u?p 9 q,g rrr,t,p uqlreqlp 8ue[ u'Eu,cuared ue8unlgrad apolaht .0.g nquog tot11fllnr1au,ur,ri dfi, {.qar -{4ar qsleles 3ue1ur1 e,(ut uzltsqpIelp lpef:at Euer urq*u-"{ B/hwq nrgles apl uedet8uy

uBnlnqepuad . !

ISr{IJ.fi-Jesec

Page 177: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

r_

(c*'e)

$'ft)

uetsuucuarad ue8unlqradtuer( Surpurp Bped .llcel

{nlun ue)lqunqrp eleftuet

'A +'A ="A

usp oA0>"A

tqpaq m8eqas elnd nlulreq tuedureuad{ruun 'ua{nlueuau qlqel tuef uernluel efuunun .rtEun

Suefued depuqral r88up ueturpueq:ad ue8uap turpurptulpup'Surpurp tueplq nlens epud ptuoslroq rasat efe8 uB8uruJqred

Eulpulp Inlun snsnql uenlualay .Z

'efulnfuules quq uBIBp rudtunf yr{ uu4e und 1ur _rrules?pr1 .rel8uefrp dnlnc srueq ,y ueSuqnl Eunfn-Eunfn euq re[e,tr Buer pq u,,pdruau'deii;Ip il;ft ur,Isp unur,N

'rte1 -raruq{uuaqreq {Bpp ', !*p^"A ue8unqnq r8tun Sued uolee nlntu rped e,rgeq .efuerrl s,Iaf 'Bdh[ s'LZ > ",!$deprp rrspnuro{ s's u', j z,o uH ele:I uuaueq rBllnu qrqst Dlslraq 'v s's >"A s/hqBq ulnd rge-raq nr1 a^u1g*rr!o 'rnfuei itq.t iedunfrp u,lu {BIar rurIBH 'uqesat tuedur'ued qeppe 'y uu8uap pv',

!z,o,p'dlrd *rrq'qrq.1 uulur[rrp rypp .d

(tz-,p'e)(b soc + 'rr urs Tl) Tl ^{ rV =

oA

i(7'g nquDg ,Dtt!il rasa8 Buuprq ue8uap rnpns {n,ueq.,a., Buer( ue8uelnl rnlun$z.re)tl ^{ 'V ='A

lrasa8 Suuprq uu8uap srunl {eEat )iqalral Eue{ uutuulnl {nlun:tqlraq re8eqes trs{nluelp tudup "A nA

<"A 0 E^\qBq uzldqaueu tr'€ snruru 'EO.I66I-slr INS)S rrunuel^I

u{uurnleqas uelruse{lp }teplt Bue[ uuelnu,.rad nlens'9'0 = d

uu8uap Eunquesrp losuo{ Btrq .c

0'I = rl e,(uunleqas ue>Irese{lp qBIq efuuuelnuued Euefsure{ uolae uuEuap Bunqurusrp losuol BIrq .q

f'l = rl tgouotu BrBcas JoJJp losuol slrq .s

lDIIreq ru8eqas ueldqalrp tudup Iosuo{ uoleg {nlun l$luJ-rasa8 epotau .uel'p In,IBdlp guui'rr irrrpl uersuaor IBIIN'uqqellp tuef uueqocred uutuap

l'nses qlqel leduprp 8ue[ uu8unuqrad Fseq re8e 'rE8up ,rra]'iuer I$IFJ uersueor r,Jru uuluun8Euau nlred nl! Euarq qalo 'ue,[ntal uped uelasaE qalo us{quqesrp rasaE wq,, uf,ep Ilrunles B,rlrpq de88ug8uaur l$ll{-rasat .porrlt .rre)fsler drpnqr"i ueEuulnued rpna rln*a IsrtB UBP trDl?ler BpBd lofuouaul tue{ llcel *!anq Lrsp ueresa8 depeqrel ugrlsl efwtelar uuqnuuad Euuplq Brslue uelesaE u.i" ::i.rp'*r1, Inqtup Euef raseE uuEuuEa;'-l'-V r{BIBpB uuEuelnl urstup ra:1Euu ele1 Jusag

lnqaslq umpler Bua'IBr l{elatau uele uetuelnt eEEuFI'edru rrBplrurepes lul8uruaur u,nnlar uurepfuad ufrurqly 'lPefrq wry {qer uereqelad riolnqgq, *p"a*p!q Bnpe{ q?tequar.u ttQu ryluares uurupfued uu8uap uurpnua{ Jueref {Bpll {qar uzulnugad elrqedy'uru1 tuef tueprq ueelnuuad nrs qBIBs eped rupfuaur EE)IB uBtsleJ Bleru 'rasa8 ueEue8at tudlpral laar'tueprq uBelnuuad nlgns eped q1g

'uelderuqp {sl tuul uu:Jesrua1 Inluequeu rypp IIB{qar rute ue>punErp rasaE uutuelnl uerpnuer '{elar duEEuup uoreq $pr 1s1pg-rasaE

ouqnyq uopg ueeuecuend Esept*eo99t

Page 178: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

A-PJ 'IJ

h ooor Y

(ruru 000I = ")

reEeqes ruIelreq (,ur) tuefued ralau ra4'zs rseds urBIBp rasa8 ueEuulnl ,"n1 qnppu ^y uetueq

'sjt_tI-t - Y

pl vln{lraq lerB,(s rqnus.,e.., sruBq pluosFor{ resat uetuepl

'ue{n,uel,o slu,q 'A 0 -- "A ='A f, eluur , ,..2 , > h ,Ug(tu:ogap nere sol$) se1 eteq l?,he{ uu8uFuf ,nr,* L*ro= wd

gt:0 < uLIoJep Sueleq-Sueleq {n1u" ;i00.0 = *dy q0

> uuoJep Eueluq-Buglgq )tqun z;00,0 = *d

ueEuulnl Ireqrp sru,r{ Eurpurp 'E ..EIBspd ueauep rBnses ,,lsru , fi , f],['ffi tn[.,a'l"q 8uu,( IBI$IB e,{e8 leqge SuFrtu {BlaJ uel8unlrq:adrp qu1a1 rur snruru-sn1l,ru ru?lBq

Ge-v'e)

(ee-v'e\*

|,,'

n

A

IAt

7,

I

#l =A

nsl?

Qe-v'e)#. *(*l)="^

tn{lraq snuru Bnp IrBp Iroelrel Buer( ptp llqtuuip srlrurl "rt rylun ?^\r,IBq ueldelauaur g'0I'?'E les?d .'4 depuqrel lnqesrat e,fel-qrueauad ue>tEunlrqreauratu{nlun uelSunlun8uau qlqet ue{p u{Bru 'ue1a1 [Brs{B ule}-v1e? inarpiar BIIS

-(*]l t"h.,j ="A G-v't)

'u,rerpr$pef,e.ru,qeqpr,"^H,,;ilrl#rfi f T",*:#'{i:f,;fr {":*Tiffi "lHftp,t[#J =,^

IrBp rBseq qlqel Eue[ I?IIu uBlurfitueu {ppp s.ot.t.€ IssBd uu8uap rBnses 'a +run 'rntual r{BrB ruBIBp turpurp rEBup plol rIelBpB ., uu8uep ,^l g,O = p

'-,q tue{ r*uar r{sr' urcFp JIueJe rEtup qBIBps p uept",r.l,f[?r-,lri$: ffiffi[

*(*ls) = "^\

:rIBI?ps 8.0I.?.9 IBs?d uuEuap renses lurrqulu h fqry

29L

Page 179: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

r'Iedplol lsppuod Bped uqoy Z.g.reqrueC

ryde1a1_ rsupuod JID[eJa IBg4 : p.ruoro{ rsrs depeqr

" i )'EIBI uped 1u1eu* o;9,irior*;frrlJrr.ai#

uBDlIuIaPas raset ue8ueEel ledepral Euer Euedueuad EurFlal nllBr lelauFad r{BIBpB : oqrurolo>1 Buedueued lapuad rsrs depeq:ar suerueo rsrs orsgj qe,"p, : "s

(7'g nqwog opd tmfi):ue8uaq

@t-v't)p"q *>

poqt+) ('dz+ r) = "A

I.Z.lI.?.8 IBSBd ruBIBp ualnluelrp ,a ,rrrq E0-I66I_sII INsxS lrunuahltA

+"A ="A

oAo>"A UBP

lurefs-ler'fs rqnuaue., sru,r{ 1udu1a rsepuod {nlun rasat ef,efl'ue8unlrqrad

1ede;e1 lsBpuod 1n1un snsnq4 uenlualay .g

'0I qug IuE?p sBrl?qlp uelu Eupurp uBsuBcuarad uuEunllqrad ueduraua4

(szoo'o - 'd) t+

,..) ,.0 * szoo.o = q* od

uetuap uu{quelrp p{rrel rasaE uuEuelnt qgltunf

tuur 00s > undnelg q t, > + , zs lesnd aI tesnd {BrBf I(o'ot'r'E Issed) sz00'0 - w *d

(z-t't)

(r-r s)

Ge-r'e)

dugnyq uopg ueeuwueJedt Jaepreseo891

Page 180: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'Iapuad psuol BpBd BAeSBAeg g.g requteg

,;i

uB)lal ouB

*II

I

I

l=I

I

I

*-+-- aN- Ipel tellOuad

I

__I's9'0 = g uslen{el Iqnpar Jousj

'iV 1utuotgoq e,(u8 uep @rD.-N * o.n1 = "rf .rl"turras u,(ulnqturl Bue,( "7,g ;;il ,* :l depeqrq u?{strccuarlp snreq Euypulp nute tuolo{ uup losuo{ usluB ue8unqrues Bueprg

ueqnrurueq qe8acuau rosuor runl uerBe-;;t ;?T3r::i1*11'f:[,:,"ff;"'r,ff,X1'; uetunlrurad dupeq-ral ueuered Sue8etuatu Suer(_ Isslog r{runles uel4efuaru 9.g rgquggnA , "1g qeppe Fluoslror{ ufe8 uesslequri

Inlun elnd rup1req snBlu8urd r8as uIBIBp Brues Suef rsquarunfra uutuap un1g?N'

-P'I<-edrueq losuo{ nlBns ueuuqequlad ueeqocred lrseq-llser{ e,(u8uu:n1 ue3uep ur*nEor!undnetu uesqlerda{ uep uuuun8el r8as Surdurus Ip 'Bnpe) 'lBsJuer.uraq tueinl pluosuoqEuulSuas usBunEEuad e88uges lepuel lHlpes:u1efuatu Suruapuec leuoEerp {gsl )tqar g)lpru

p'I < ; BIIq ruplree Bruel-urueued .uBSBIB Bnp JBSBp ssts uB{lreqlp L * ssl,g

eped uu+fesrp Euur(,uEuap rcnses u?qaq qB^\Bq Ip tedat uBqruurue, :;:;:'# f"ffi? 'uu1a1 puo8urp uped uopq uul{Blaquad nele uurncuuqel lpelrq ntr Burdugs IC .qalalau

tuef llrBl uu8uB[nl lBqPp '1osuo1 trBp tuolo{ Brslue Ip leler 8uep1q ueresa3red suerctr:lpepal uBrB ug{lraqrp Suur( efet rsnqlrslp leqHe losuo{ usqnlurua{ €.g requgD EpBd

:(€'g nrytlg tryn) uetere,(sred rqnueruau snreq >lapuad losuox 'wqag In{Fueu {nlun Eurpurp undnele tuolor eped lofuouaur Euez( rnlrrus uur8eq qrnq* q?ppB lapuad loruo;

Iapuad psuol Inlun snsnwl uenlualax .t

'tcuFedr4 qlqel seqeqlp {spn rasa8ue8uept dupuqr4ledulal lsupuod uguugcuered lntun 'ru1 rnplural uBsBIB ueauapuralelrag'ElBlaru WqeI ueryrlEuntup l?dep rBsBP IIBusl u?uuqeguad rulef turdues uetunrunatrIraqrueu us)lp uBrlqEupp rs?puod lBqer .uulnFadrp

rypp resat uetuelnl uBplrulapuutuaq tl 0 > "1 rutu 'nluaual 1edu1e1 rsepuod trqq qildlp uBrB reDlurd ruquq

69r!$l!u-reseg

Page 181: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

F-

(', * +)='v us{rBsupreq.f:T.1T:l_1I "rrr'y!t, = 'y qupp? ?tueln ue8uulnl qrunles r{BFunf

. J VQ > /V IIBIBpB >1ua u,(eE lrc/rrulelu {ruun up{qnlnqr, tT, 'y *d*p;duEEuerp srueq -1g '(uelrepulqlp redep >rrel e,(et -elufl uaaurqes ,:llfr Tffi"T?ttr urtrderalrp rpncel) "A z'o epeduep q,puer qrqet uerulftrp )t,prl ]y uEreq ueEuap .ueEuoloduutunlrqrad BrBres ueryudeplp ue,,o., uB^\BIeu {$un u'{qnlnqrp auei ry-;;";;;"

ruplreq l,urrou uolag {nlun 'u,nlnrl'puad uupp s,qBqrp Buuf ,#r:;t;#rr#'?;#9zt't) ,{t'^v = "A

r{BIBpB "A 0 > }1 re8e uu{r{nlnqrp Bue,( ry ue8uepl

'losrrol ueeuearejad ueDungyed eped rseloN g.g ,BquBC

1e16uad nele dnlnpal 6ual6uasre16uefued o16uel 6ue]eq

(ge1l6uad nelednlnUal Oue>16uas) V _

ltv (etuep

l+V='vue6ueln1)

relEuef Ouegeq

uesepuel 1e1ad

'ueqnlunJa{ Inluag g'g ,Bquec'uBqnlurue{ Inluo€ r.g .tBqutB9

q.

L-- - +

fuenyq uopEl ueeuruDJed rmEpreseo

Page 182: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

deE8uurp u-ep *N uu>18un1q-redrp lauosForl uuqeg .uolo{ e{nruNI 0SZ = "1 vfu? Iuuqaqlp losuoy

.g.g requug ueEuJp ir*r,

*grrap f

.nA Z,O rBseqes

Irsp |.lIuI o0z = a 4erefasw{lreqlP losuo{ r{Bnqas

:lnrlqa{lq

te qotuocue6unllqrad qoluo3 .g

ueEuulnr ur,r,p uerEeq,',r9;f {"K;? :{:"'T:!;[i'*i 1T#ff1":fr;f,Jffil1; ufurs:1eford uEEugas'edru uurxrtuepas uopeduallp sruBr{ "rf *qrq luesupuef Bunlnpa,*plg'(,snl,) Euula8 nlens {ruueqtuatu re8e Iquosuorl Buuplq tuglgp r{B,rruq er usuo{Buaqp (q

(7'g nquog ,ouqil u,(uresaqslrlus JeleurelpJeq efqgrpes Euef Euelullaur ueEuelnl Suelee ue8uap u,(u8unfn sepp (e

lqlraq rcBeqas ErBJ ruBs r{sleslnmueu rultEuefip dn4nc slrruq Iosuo{ Sunfn-Eun[n uped {qapel Sugr( 'yBruu1n ue3uelna

^t pq uo,,.

IG;o=T-= o

'(u rqnq ue'uep pnsas Euu A p + rrd:tj"ffiI'3"HHff1r,* ruseqes e,(ussrs uep oy

+ tV = 'y qelepe Btue1n uu8uelnl (q rpnq {uun

'(9'g requreg

uelduralrp + ruseqes efuesrs uep oy *

o! = 'V TIBIBpB .V Zuy urp 'y t prp r{Bltunf (q

"y upp'^y grp qspun[ (urur rIB/rrBq Ip ltunustu (o1nd

9'8 roquDg totttil J?saqrq Eue{ IBIIU IrBp uultedeprp sruBq '1osuo1 ueEunqures SuuprqInlBlaru sntBq Eue[ (oy +'y) uu8uelnl qrunles. uenlueuad 'ele.,(ural ueltrlaued gsgq IrsC ' ''V rreEuap ugryp{p wp p I fEunes ("y - "V) S.0 < V Bued.,eued qrpnfuu8uap qBJeIu Euesedrp stuBq uBlpnua{ "y ue8uep refeles 'relupuaur dntnuat Buu>13uag

'6ue1u1;aru 6ue1eq ue6uep uela;Ouelusd Z.g rBqurBg

istllD'y ue8uep uB{rBIrp Euif p | ryrcps dnlnuar Buel8ues ruBIBp

Butqn ue8uelnl (u rpnq {uun

Jg re16ue[ Duegeq

LLI!$l!u-regeg

Page 183: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

$z+'e)

I{BI?pB -Ar rrp"t efet uuquueu rnlun u,{qn,nqrp tue{ ,"{rl,1r= -n

6100'0 = d u,,nedep,o,ifii:: ;r9i:;,T,t;,!j$g ;;zulter 6Ls = %t, = #

urrH s'zg = (ss.o - 9.0) . osz . z,o + ogz . 02.0 =

r{sr,p' n,.s uatuotu u'q.ua.,, rruun f,;H# ;":,*;gt ?*,#

.w L8e =*#'= * = uv

N000s8E=# =+=.Atl^{'v ="A

lnIPxl reteqas rcdeprp oA0 =

n1rasaE e,(et uequueu {nlun w{qnlnqlp Eue{r^yrasa8,r;;;I

'gnuadrp lapuad losuo{ ueEunlqrad uslere,(sred 0.[ > # = I

:ue8un1lqra4

uulnlredrp tuu,( ueEuelnl uqruual:u,(uqgq

S9'0 = 0 usleqa{ Iqnpar ToDIBJ t'E'6't'E IBsBd ueEuap pns"Sedht 00? = T ,tnq nlnhlBdhI sz =' , ! uolaq nlnht

?'I = rl tllouoru B.rBOes tuentlp JnrIn4S

'82 rloluoS 'psuox g.g rBquB9

-

fu*q uorq uaRu@uaod fise?reseg

z'o = ofu

zLl

Page 184: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'gZ qoluoC ,1osuo 1 ue6uelnue6 6.g rBqurBC

I oC

6ue16ues g

gloCr

'uu^lBIIp tedep E.g reqyug eped rensas e!,e{aq Buel( e,(e8_e,(ug'uu1de:e1rp t,dep il ao Euqeq-Buarq ur*l8uefuad B{Bru .*[ oot qBIEpu r,uolol renl ?Intu uep "^ wqeq uBsspuel Buuprq renl rdal ,*u, ue,Beq u"1arr|rg

losuo{ rgnl Blntu e_pud yru 96 = g?-+ g + 0t {qalrcl ,1 c6 auaeq-Buqeq e)leru .u^u gg, =

'p g *rrolEuaqtuad rrerpet u;p ;'% ;rd;,r;;';il o, uolee dnrnuad l,qer Buar,x

uelr[usrp rur losuo{ uutuelnuag 'zrrrru z4E =(upuut pruryaq) g od g ur,ro;u;iffr1fl'3tffirur.u L9E = 0gg . t = p | ry:ufas

'.ruur 6zz = # = + = Vzuu ?0g = gI

qc -,

qBFpE lqnuaueu tueazuu 0S9 = 'y qelepB Bruqn ueEuelnl

zuru OS9 = 'y uetuep g qslBpB lrBlqueuatu tue,1

zuru €I, = 0SS . O0€ . S200.0 -

E!u, ,V ,r llunuaw

905 = Z6l'y :q trunuapl

zruur gos = z6l + ttl = ,y :e lrunuehl

.g_ '189'Z-

^Isz00'0 = fi; = *d ueauap pq *d =

'q'., ty (c

n,,' ("o * +) = ,v (q

I,,p rBseq,er E,e,( I.rru qs,"p, 'Jil'*:;rf ;;L,"8

zw Z6l =00=r= = f?'0 = U l-.ffiS-=T= y

8LJlsllu-reseeAt

Page 185: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

r-

uusunlrqradureppueausau,t:"i:rt-$:xl.:[ut5,':]1',J;J:r#x:lJ,uffi il",H Jnluel uBqeq Fleqp Eue,( uolaQ Euudueued nlens uutunlqred'111epp uede33uB rBssp-TBSBC

ue6unl;q.rad uelBp uede66ue Jesep-Jpseg .Z

uauodwol,q,nqesuB{Brs{prurx.rrurrr,"r.l:f 'iliffi;"{r:::rf:ru;:r:;"Xtr;etnt uqEun., PI.,[B ue'ue'al urclas 'uo1o1 eped et aiaq a*r ue'ueEal erBur .(roteq]pluosuoq ueuodurol uuSuap q,,[ rreEunqnq:eq qB^\,q u,p ssls uufuq ,.,olo{ eped e[g ',,lEuer l,rnDlnrs Fup uer8eg ueludn:r- BuF., ruolor ,uuuq:apas Euu{ r${ruts spsd

'(:aro l(g) tuefzl raeqtuef uep uBluqtualndutnuau Eue[ lapued q?ppe urnrun Bqpd tue[ qoluoc .lqe{ ptues Eue'( leru{s rqnueueu sru,q lpues-Ipuas euerp{ s1e1duro1 piuw ufrueueqas rur rnqnrs us,uss{B1a4 '3ue1nreQ uolaq rnr{*r ur'[?p *r1run-trp r{Brud )r,pll rrdueq lepuad

{Frap ",;;':[1ilff; Isuuou elu?-e/ie? rurep8uau u{uuq rur uolo{ e.(uusep eped euarel .ne[ug1p rtepntll Eulpd 3oe'( qoluoJ uopdruaru w{q rnDlnls ucuodtuol gep (tunfn derlas eped puesraq tue,( tuolo{ up[) lapuad uoro{ rpnqes sre,(.,at usBuucuarad r8as uep'l,ril[c .squesra uqsr u,qaq n'l, sulues u,lel u,qeq lreqlp 3ue,( rnl{nrs uauodtuol ntrn, r{EIBpe urolor r{Bnqas

slrluasla uBqaquBp slrluas upqaq uBouap EuedurBuad .L

ruolo][

4,eiuue6ue1n1 eyas ueJulnualryueueu uep uolol eped ueueqaqruad irec eueqfieg

Page 186: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'uolaq 3 - o trreroap pEp tsBs[Btle{s e6 JBgutB9 o/"9,0 =

n1e

iil

L'6 '8qutBg

ty e*:ra1 ue8uap uupedas tuef rBlru Dplrae S uqenlal ,qnpar rol{BJ r$un ufulnfuulas '%r,s0'0 IpB[uaT *,qrueq %sw'o waueiar'uultuupas Ig.0 = c ror>reJ q'Iraq '(zutcF{ 0sE) ?dHI s€ = ",.f uotaq uq; i"n{,tnruo .sg.o - C rorrrrl ue8uap ,4 = o uellndurrslp lnqa$el IBIIu puq .(zruc/q

oogi BdI/.I d 1i f +*n i1np"q uBp z.E.€ IBSsd INSXS ul,srp z'6 rBqur,g uerterp ur,Isp uq*eqrp auer q5s?0.0 ueEuetar IBIIN

'rur rBH '08'0 pufuay se., FEp uelrulEurrp qeroq d reuu ;llI[13],,]T; :] f#r]ffi IIceI qlqal redeprp Euef IBI$IB uBqeq uEreq Lilg-.IBI$IB ueqeq uup rruual ueqeq paqp Euer uolor {nlun s9'0 = 0 ue{dqauau E'z'g IBSBd €}166t-slr INSxs .Ie{edlp 3w[, Q uq,n{q l$rnpar roHBJ r,seq u,{quaueur u,,[B lur IEI! .(%z'oirl*i qarer uetu,tar %z,o eped detEuurp tuef qelet ser,e ns,, qalal s",,q *a*T*[r'rr"p;^I\";rBquBc rr,,IB.,

'z'6 uep I'6 r,qur,g upud uq1fusp rur ruer.Eelp.uarturo rs,spsuers .z.g.t t,s?d INSXS uetuep [Bnses rrB{lsespeure:1qp ufuq uup'uoleq ueEueEar-uetug3a ruur3ulp (c

durEuurp uuruepr *,, uo,#H;f,tjfr'Hli^ffi1fr1"Hru;Hm:i (q'{pBl uetuutet uBArBIeIu rdup )f,pp uo,e (z

glj uapx

'e[eq a - o uerOap UBp F€sgerlrsXs

(*nlooor) ran oor = I

Page 187: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

T_'rer$rp u'qaq u.ouap rnluar ueqaq peqlp 6ue{ roes.red 6,edrreua6 g.6 req.,,c

i1 FNFh"-r#;, T-r--i--;1

l. l.-, L.ltl. i ,. I

+___-__+

"gsc'+ - '3 n,rprraq '= 1n1un e'Burqas ^{ lnp IIle{ qrqal Bue[ lBBSas 1,e1 ue'ue'a "{

IPu[:al H'y uped u,ll,qplBEuatu s,llslrluosle uulel8urued .{ sg.g - c ueltudeprp uBrpnuar

0 = '= re'e , sq,q u,r'ln u,Ilraqlp qE.6 rBqrrBC Bp?d .^! , "o nll EuerB{ ? = ,,r

ulunueu ue{e lu.rlau sgu8 lrsp uurrutn ru8eqas r B{Bru lqEuluaru ssllslquasrp jgg

'%Zt'O = Zl1ryg - s0{.'-0'Z -',= - 0n7,

rllrllreq ru8eqas q'Iraq ,,ls., edyl o?z = ^S e;eq nlnurInlun 'o57'g nute zoo'a = to*jto't =, 1= unltedeprp requeErp Euer uutuap rBnsac

BlEtu Edh[ 00i = ^lrlrqqnu rnlun ' + = ',= u,trqeq uedutEuu DlBIraq *y 1ntu61J

uu1:ln ru n u ew D E 6*o*,r*. IllrffilX,t?,,ffXilH ilI lltl'Iffi r# ffll;I i : IBI$IB uBqeq s4!sl4uas{a 'E'6 ruquIBC eped uu{rBqrueErp 3ue,( rsenlrs tedrua *rpq

i 'ueEuetar ura,Eerp ruque8rp iro )"q*og auidieux uetuorod requrut qu,ngq rlglaqes rq .tuedueuaa.

lda gep { ii.O ,f*r[ eped duE8uerpwEuernr psnd {"re'I 'GurcF:t 000ri .*lN oov =lefeq nlnu uetuep';tri ;t;;;,,", wEuepl Euesedrp Euedueuad spgd .tuF:tg ugqeq ugp mluat ugq?q lreqlp Euedrueuad rpef's14ues:1e [nlu,t' u,qeq uuEuap iar*rra tuedureued qoluoc nl,ns.qst'p, t.6 rsqurBC

'uu>lqsudrp ledupt'pll IBI$IB u'qaq u,p rnluel u,qeg l'qpt, ue8uupl ruBIBp lpeF,t tue,( qerat uutuutal .!= [ qepaq uetuulnr {nrun B{Brrr - a I

],= nrypaq u,qnluuor ?,,sr,,*rrJr: ;;:, H X;;;;rf;ffi; tlBnluBq uutuap uelugtunup rdup ttreduruua? uuaunrgraa irf-q .nunur mluq InlunEuedulBuad ueEunllqrad .g

u, orqrry"g wlog ueeusuaod Es*Heseo9Zl

Page 188: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

ped uereq;?flffil:lnqesrq uerEurq '+ = '= uep yol'L= n',3

dutEuerp ue8ue8ar uer8erp *TBIBC

.,^ : .-'18'0 ; C leapp s{By (zurcF{ 00€) Bdh[ 0E > ] ue4resepras'!"t'o nqutog) ue8ue8al ruur8erp uep (qf.6 nqurigl uu8uetar rue.r8erp,

tterpntrra{'"v = ',y spteurrs del8uur ueEuelnl lreqlp auer-@t6 nqutog) { rEtuq usp q reqel uetuap fasred uoleg Buedueued requet uq1fesp r_ni_riun .uq;;;q;c;p"dEuequllas ue6ue6ar !s!puo{ ruelep 6uedureua6 .l

u?p e00.0 =n",3 {nruaqua* 1edef ,-J:T;::iff;:J#;:,il *r;,,- rsBnlrs eped uetuoru uBp Isls{? uBqeq rBseq eduraq eslpadip ulnd ledep nlr SurdurBs IC 'ulosap nvre tuodutouad uoturyltltad rc?eqas us{Brueulp lul r{BlBsshl'uulnlradrp 8ue[ uuEuulnt u,{ryuaua., qsr,p? us,rrBcuerad uuSuntlqred qBIBSeu s{BrrInl{4e{lp uatuotu uBqeq ue:1lepuy 'uoDeltrawad uo*untltltad uB{Brugurp rur qBIB5BI^I

us,u,cuelad uuaunrlqred qeruspru ?_{Bru **ri,i^l#,r3,',i^rl,'o};; fiJ}|T,HJiLt:; uIBIsp ug)tdglatlp IIBIaI und uo1o1 Euedtueuad uernry1 'etroleraq uBIrBSBpraq uoldqarp IIBIeI 3ue{ u,rBsaq nl,ns l&lep' n,d [rlt{, ueqeq 'uo1o1 *Eururqiad eped e,(urunurq

.lEI$IBwqeq uep rnluet u?qeq dupeqral Eueduuued usgtrgcuered ue8untgrad nlens u"rpd*r. renl I?r$[B ueqaq uep renl ueuroru uegaq depuqra urBIBp vfefl-efe8 ue8ueqturlasay 'uDlrRuallp ludup uI?[Bp e(eB-u,let qrunles B{But , uu.ruseg nluns lrqure6ueur ueauaq

, -'q lg'o - a eped vdy{ U?z-= } lnlun uelEuepes{ Is'O - a uped qBIBpB Bdh[ 00, - ? rnrun rudecrp *rrr Edi

-? qqq uuEuetal

]

s8O = ,! . rr', n{B1raq edy1tolz= !1nlun.[ou ugp ^ye1re,qerqu? rp

{qelral q'y epud ufuq uu8uu8et gep resaq ?dhl 0O? = ?{ruun s{Bru Sg.0.1. ss'z

IBII, BII{ .Zn\ < +TIBIBpB lnqe$al lerers ul[Btu udh[ anz = t lnlun

'%oZ'0 =

'q'y eped undnuur *y nprd {IBq ? qelal uuEue8al rpe[ar un,p

Ss'z< IrrrrmplreqBdl4[00?=]>lnlunsleruaf Buuf .:ry = { s8'0 - ' '',='u.,r t00O -

-t-- = F

uaqBq uBryrunrlP tedep llE'6 requlug upud e8qr8es ueun8ueqese{ {nlueqIrBq '? < t'y ,prd ueEugEar *+rqfrpaua'ui

"r* fta tnfuet qlqel Bue,( u"rriauru.a

s0l'0'z00,

trJ

BrrqBq uedeE8ue ueEuep p€.6 rEqurBgqBlraq IPUFq tedup qlssur Eued ufeq ueEuutal ueqrprad uuEuap setsq'ugrruln .e,(rup1y

.e1ndurunuau wqel J, uBp ^{ ='o ueryuduprp er(qnfu,Ies ssrlslrlues{e uululturuad upe4

'cE'6 rBqurBC eped uu11[eqp uulu B.dI I Wf Jt e[eq pnu lruun Isen1ls%Zto =:? ,Bdr^t otZ= llrlrlruntu {$un

wp %oZ'O = 'i : BdI^l 00, = tefeq nlnIII lnlun

ututolox

Page 189: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'ssrs Ip uss,urusJd ?npar ueEuep r,nses u,lnluelrp ,r-drp ,ltt 0 uBp qd

f, .uu8uu1nl

sues Eusdueued qlgraur uuEuep B>[Bru selaf uu8urp ,rrrorrrp xpp ,.rninp ere3_eret BuarE{

l('p - rtl)' '! 'v +(,p -ttl)' ,0t",) ",v2.+@ SZ?,0 -tt+).J."q.SZT,LSJC = ,n 0

[(P - q+).i + (,p - trl).'c + (ol ;;; 'rt:o;;'*'n

@t.0 rDquDg torttil uelpseq8ueu 0 = n ZY - Ot '',3 '',w +', { rq szl,L,o I 0 ="a O

'ztoo's=oQ$z =+

.zoo.o = w =+

| ^{'n{Blraq efurtpJy

c0t'0 = VA

epud redecrp FI IBIIN

= ',= n tnlraq BIBtu ed]utt U?Z = ? rggc

'L9'0 = 74 epud redecp lul pllN

= ',= qelrag r:luru Bdh[ 0O, =.? rllg

-3'-'=t,,P-J '-

:re8eqas qf 6 mqurrog eped rntuetar urelterp IrBp ue>lnluallp ,,3

^!.,v = ,r

ot .',3'1vz= 'c-

ledeplp (zurcFl egt .

Z) gdhl fiI . Z =

,a ryrun fg .,,, .,,i = ,;

', ! rq szzL,o = "oledepp , Sg.0 = D {euo lqo ,,./

Sg.0 = ,fz -'c * "cl 0 =rd 0

:uellrseqtueu0 =HZ0 = HK elrq .ue8u,qurpase{ rpepa pt$[B u'qeq ueEuap ruuel

"rrrr,*!"!;iryryggll'Ouequrpes lslprror urepp ue6ue6eg uep ue6ue6er ure.rOegp ,6r.redtueued

?.6 r.q.,Bg

wl_I

t_-

lll=+-J). se.op) fpt

m.#:{},+.i;...:.

,ttr 'eh.'., I-r#

6u'o - -.,

h**y wteg ueeuwue*d r*sep-reseo

8Lt

Page 190: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

n

It n

Nn

N

(og-osz)' oow6z+ (og-osd:#rt;:t: eil##l ,#ffi =(og - ,tili d + (og - tlil'J 0 + @ szp,o - ttl)") 0 =

:tnIPagreEuqas DPIreg Euudueuad Lnauls nquns dupuqrel '0 = IKueEuap uqnrueup BuedueuadIIB^IBIJp Euu[ uauoIAI .rgpguau slefurer *rtnrurrip auif ,*ir-rn nfs ilpeqrag

< zzoo.o = €oo ,, (ffi) = ',=

< 8zoo.o = €oo , (#) = ,3

vruJ 0W = P uBp trnrr LZZ - Jqaloredrp q9.6 rBqueg ue8ueEar tuurEelp IrsO

n,d ='c o ool'p,ryf ::: t,Hoflr=='iffi3 ;113\

uulteduprp0=f6pON)t 00g =

,,d rnqaa{roN ' ZZSC = gz 'r'00€ ' gz|,L,O. gg.0 =',, {- c.q . gzzL.0 0 =

,c Q

N 00t962 = 00?'0rII .

S9.0 = T'V 0 =,J 0 =,J 0zuu0?Il=zz0E="v= 'v

p9'6 requeg eped uelelefurp urBIBp elel_efeg

.9.6 requreg uutuap [Bnses dettuerpIpeFat tuef ueEuetq ugp ueEuu8ar uu-rterq

:ueEun11q-ra4

u,^\slrp redep tue,( nl4l ue.,orut::t:r',H

:e.dua11q

(ztuc6{ 00Or) edl^[ 00? = ^! rf.rq nrnhl(zurol8{ 0SZ) Bdh[ SZ =', Jf uolaq nlnrt

}Qi 008 =',dr,nses zzaos ueauqu E*Jrf #m'r##: (.urc 0S x 0E) 3ruru 00S x 00t uurn{nueEuep rtasrad Euedueuad qenqa's ue>Ipeqlq

:!nqqa{!o

tz qotuoc

'ustunllrlredqoluoc nlBns Inpleu ualselaflp uu:lB lul ueuour uuBuaued 'uqFaglp tue[ auuaueujqaloIrB^rBlrP ledup tuuf uaruotu ueEunlnpad urplnfuqrp ur:tg.uurslpaurad ueflunllqrd reaeqag

ueesluautad uPounllqiad .g

200'0 =

200'0 =

,g

Tta

T

oooaof e

aao0 eooo

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'r = % IEIU ruBns uulEunlrqraduraur sruuq

tedup rete u:pru '1ou srueq qe,r\?q wp ssls uerEeq uolo)t ueuroru-ua111oru BIrg

uel8untrqred1p tedep und uetunqeur$[BprleI leqple uEnprel {gl salsuluasle reEe .rutll ,;L1; + sI) ulilururlu ssllsl4rres>1e uqerefyed ueryesBpreq sruBq tuolo{ urBsep erutegl{v

rBsaquec roLTeJ lBqp[e B)lsur 1ou undn4s IIOaI teEws lnqasral ueruor-u JBSeq ulrq .unue5,1

-'ruolo{ tunfn eped reseqredrp Euef ur-o,u uetuap uelEunlrqredrp ue8urs3uelal .r{Udrp

Eue'( ue8unlrq epoleur urBlsp Buerel uelEunlrqradrp srueq rur runruru1u ssllslJlueqa

'n>p6ued ueOuep Oueleq In{el 6uefue6 9l.6 rBqtuBg

,,H,8

q f'0 * 9'0 = '3 u?{queueu

rlr

ij

ii,

liil

ii

lii

r,i1T:

IH

&

t6[utotoy

Page 203: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'gz rloluoc ,tsuod ueurou, ruEJoBlO 61.6 JBqruBg

.61.6 rsqurBc spBd uB)IIf"sIp

Euer ue.,o., tuurEurp leduprp u,rpnuar }} = *H unp fu = i*I s ) '(s'z\

rr,,rres,preq uauo<iuro, ur*rrl',l' 1, !, -,

^et r s nqur r, j Hl lqrd Irec

-gZ tloluoC ,uBqaq-ueqeg ueOuep puod TrelS 9l.6 reqtuBg

'onr os, = n,

d -1ff t#,H',?fi1rTilI.1

#*HT:,:T:I: 'su1u uurEeq rnl{ruls Frsp ueqeq redepral tuolo{_tuolol BpBd

' (u cun c uuEuap ueEunqnqreq EunsEuu,'#S gi -:;H'.l"TrlilJ#HI,1I H:; (.rur6l ooorl Bdr^r o0r'= I [fri*^ G"rt4rl ooz) edI^I oz =",{*.q ntnhl

e8tusas...,o,osrpqeru,Euap'pqpsp,r,;"Tt;*1#t;Wf,:i:*"i'ffi$*

duErwq tqeg uaeu@ueted resepqeaeoz6l

Page 204: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

(o'g)oI'I = H{

=l_t

IooogJ

- A :ssle ruolo; (+j

ra(qnued rldapar) 0 = rh :qg^rgq ruolox

n{Blreg turduus ruolol BpBd.rl.d rBqureg epud luauutge lgert ueleunttueu uuEuap uu:ldarellp ue)t? ruolol pep liqel'a*]*a uB)lnluauau )Flun

.qEI'6 JBqt,BC UBP '2€I'6

JBqU,BC INMUEIU TBIIU'PII. UETUAP BTUBS IUT TBITU.T-?IIN

zulral oo88 = dl = 'r?toorsel

zulQl 00tS9 = .urufl o0l ' Zl,E . OZOIZ ='fZrw o0l' Zl'E = rffiS . 00g ' I =t I

zultu/N 0Z0IZ = "g,

reEuqes uqdqalp lopq {nlun u:letu S'0 = P6 detEuutuau uutuaq

zruforooog=#= rrg

(.*rrrJ' zulQl 00szz =.tmulrl o0I . lo.t . ozolz, =,fa

ow e}l" 1,01 = cOS€ '00€ '| ='Izw/N 0z0lz = aul" aoLn = ul 00Lt = ig:raw oz= "../Inrun

S'0 *_I = ,H

( s'z\ .i

t.E..l L

reEuqas uu{delatrp tuolol Inlun DlBtrr S.0 = Pg detEueEuau uutuaq

resaqradp tuef ueurour rm{$ual .I:uutun11q.ra4

I *o1o1 uuEuepr rlultunlru

:rr(uulq

tr1:I 026 = n,d O, urolotrtr1:t Sgg =

n,d .{g uep gy urolo{

BpBd rdupra tuu,( [uIs:[B rrgqeg

86rutolox

Page 205: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

F*

S['o=H= $uraarralJo

69Z'0 = I8'0' Z€,8'O = (+)

rsO0s€ q=_=_ sge,

,aIruru ggg - 'a

S9'0 dslq 0 fetu.t

I.o<zto=W=i! ' se'g' "v o,d

u,* s8z > ."JT;g;?: :r3:rt;H: ;l#frti =.:,{ urrrr sgz = ru sgz.o = ffi =

ra

|{)I 58€ = n,d-

rulsl 0II = "N

*r,,?,1J1[il,ffi:"* .'resaqradp tuuf uaurou uuSuap ue>lEun,qreduau nlrad r,prl sI'6 r'q.,eg eped 1gur3 lrunualt

(uetuour ledepral {eplr) , = Sst'e=X2={ >cc Pl

til sg,z = gL,E. 09.0 = nlrl

=,109.0 = 7 fdeprp luaurutrle {UBrt IrBq

c.^:(##) _t*l , ss'0 ='--;t\' = 7:e = r,i :sq, ruolox

(.**J l.,r-J\

\..O = rh :qu^ruq uroloy

ruplreq {utuq ruolo{ BpBd

'resaqredrp tue( uauotu uu8uap uelEunllqradtuau nlred {Bpp sI'6 Juqur,g eped {ue,E 'omuen

g.o= ry=# ss ,n

SL'9 ' sE'O tt=w,=E

w gE'Z = SL,t. t9.0 =,H = rl

€9'0 = 1 fdepro luauruEgu :1gre6 uuq

ffif** uoreg ueeuea*ted Esepr*s,',6t

Page 206: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'zunr Zgl = U o0, $r{8,( runrurunu ue8uulnl qBIBpe r{llldlp tuua'0=r :9{UurC

Euelnuefl uoleg usguucuered laquJ. ugp IgBrC rulng 6'6 requBg uped lgurE lrunqahl

rsrs qunras uped ueEuelnuad qmdrp ap,., 'resaq leEuus srr.luac ;H['ril::ffri;

890'0 = €t0'0' 6L'o= l, q

) . ["r' ss'o' "y o)\r) t.-]--J

sg'0 delal d pttN

I.o < 6L,o =W - i!' sg'g-' ov

o

zuns ooosol = osg ' oot = "v ,r:hr oz = '!ELo,o= S = ! s'92 'a

unu S'SZ = 0S€ ' €0'0 * SI = (r/€0'0 + SI) = w'a.uru gq690l = 0S€ ' 008 =

oy :Nrl 0Z6 = n,d

ruNpl 0 - nn

qeEual ruoloy

'Br1$le ue8uelnl npad lupll rnlual Suuprq srunl >p8a qere ruBlBO

0=r:9 IUBr9Suelnpag uoleg uesu?cuered IeqBI uep {gurg rqng g'6 requrug uped 1gu-r8 lunuehl

szoo= 8o.o .z,to= (+) [,'r ssp "v oJ

'._. ss.o . fu_0. ZEE'O=ff

8o'o=gi =+ n7, 'c

urtll ,Z = 00€ ' E0'0 + S[ = (r/€0'0 + SI) = w'a'uauoru pdepra {Bpp 'rnlual tueplq srunl {uta qBrB ruBtBO

QZ"$ E x d zt$tl lgZZ = ZZ o0

9 ,Irpps lupBtuau Euu[ uetuelnl(zuc IZ) zuru 0OIZ = 0S€'00€'ZO'O =

ovd =nV

z0'o= sz0'0'g'0 = d i3'g = Gl :u4yq 0?,= ",/anrun20.0=r:9{gpJC

tuepueg uoleg uu?rrucuarad IaqBI usp )tgEJC n:Ing g'6 JBqur?g uped {IJBrt trunuel6l

961.tplox

Page 207: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'uend'|unl e6;1 eped ndunlrp 6ue{ uolaq 101eq eped e{e6 rsnqulslo r.or rBqure'3lequeE ,g lqap n

g lequeO ,g petap

ala

'(ct'ot rsqluec llslep lBqlD ue{BpBrlJp ledep {olBq uuSuolotued teqHe Inqup 8ue,( ISBlor u33urq u'rxruepas reseqredlp redup iu, *qfp ue..,o.,, .ue1up uau.roru u,{rnqurueu uep ledo>1-1ado1 {nluequour ue{e suus_Brrusraq ,ru ue{el eKeB.uBp y'f {Hel e,(eg

ludup rn,ueqlar suer g3_3uor B{Bur .uores uesuorod *.l"rooJr;HPJriil1TJr5lHl undneu {lrq (pl$fe)uKeB-eKeB Fequau uraurq .(qt.Ot rBqurBC Iplap ler{lD .(duE) e8Euor, nlBns {nluaqrel g qe8ual uundtunl Bpsd 'lnpuere., uB{B ror'q tesnd-re1 ueqaq l?qDryrur tuolodrer Buu,( {or,q {nlua' .Euorodlp g qe'ual uendunl,SJ;:'rffiXt:?nxiiXiffi; eped ufe8 Isnqqslp uB{nlueueu {nlun 'D['OI r,qu,c upud uoplnrunllp Bue.( *irrp IBnses lusndrq uBqeq unp uu8uap rueqeqrp uep uendurnr etrt ,pra lopq qgnqas qepe[u1g

uolaq JnunJls BpBd e{e6 uemleto)| I .I

(urntun)uu(uF-B^duC

IsnqlrtsIG

Page 208: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

r

.BrEJ ru8eqreq uu8uep ue{n>lst1p tedep rcdecral rul uatuotu rsnqrrsrper re8e eqesS'uetuotu Isnqqslpar tudecuaut Jnqn4s 'upe Eue{ uuEuelnt uu8uep ue>prr;redrp Eue,( ie,treuetuo[u lsnqlrlslp uultunsei(ueu ludtues rnDlruls elefrrral uuqnlurual srpsls STBIBO

'e,(u:11pqasueEuuseuad uu8uep Burpuuqrp 'Buernlraq lHlpos Buquaq ueEuulnl eped ugp uu{reiaupplHlpes uendunl uer8uq epud ue8uulnl Euesuueu ue8uap 'luegueurraq qlqel ugqeq u?qguaruludep {olBg'ue4te18u[[P qlqet snrel{ Eyqurq upud uappadp tuef ueauu1nr r{B1urnf *rr"qIUI Tattulueur ury*'Wt _

o741 ueqtuupes IIce{ urrp.rriy't, Btesr .Euernl-raq uDrg111as

uundunl sele uet8uq upud Euesedrp 8uu,( ue8uep; epg 'Suesedri tuef ue3uelnr qgpunlgelo qrueSuadrp tedep rolBq rrBIBp u,(ut rsnqlrNlp B/r\q?q oelpteiurp rur qoluoJ IE(I

'lelturuaur uDr?ues39 undneu gV Euelueq'uped uqnpuel IBqHB ru8eqas uep g eped pcel qlqel turi,( uaruoruuelltsuqEueu uB{B uBplnuap IsBntIS Inluaqrel {Bpp u8Euor reEu p Trel efeE rrB/(BIeu{nlun uelnlredrp Eue[ uetuelnl ue8uurnla{ IpBFa1 .lpllpes nlulral .B

selu uer8eq epedSuesedrp 3ue,( ue8uulnl e1u{ua1 'ql'6t rEqruBD uped uuryfesrp Euei uetuap irnrr, ,o,pq ',duE, re8eqas ue>lslu rp B{Bru ruseq dnlnc Euu,( {qer lpe[el g ryp eped Wg.iremluel rurelu8uau 8us,( uolee {oleq uep )tusl rluresp epud rpefret ledsp rrB{gler .I qBg urB[sp sBq?qp8ue,( ue8uap rcnses '{ot,q sele uer8eq eped Buusudrp srrr,r{ ueEuelnt .g uenduru-spEd'uu8ue1n1 qelo uE1$BIrp uBIB uolae rnqruls uelsp 1ua u,(ut B,rlquq rind ,n,1n1a11p qBIeI

'uendurnl ue{uoru-uetuoru uuqEunqnq8uaru Bue,(srunl SIJBB eped uulSunlue8rp ledup puDt4apas uondwnt lrop lnruq ueutota wotgorp,e)[sur'EunlHIP qBlel nlueuq {ul sllsls rq{nns qunqas Bped uendunl sslu ,p ur*o,,, reseq BIrg

.'lrll - "N qBIBpB efutnlueles oraunrlqraa{nlun un(nlredrp 8ue[ gy Eueluaq eped uatuoru uuplrurep ueEuaq ."ru qrto uolnruelpelnd r8q'urc1 Suuf ,dnrnuad s1tot, uped tuquutraq uB)tg-yp{B"r 1nq"rr"1ueuoru trw

"Z-or rBqurBc eped IIBqure{ uuryuduprp und 'pz.olrBqurB9 up?d "lt, puo BrhqBq pEurrp npea -

'nlual IBI sllsls rnqtuls r{Bnqas srslpueEueu apoteu nles rrBTlnfunuaulIUI qoluoJ 'lrlpues {olBq lureq uuqeq uul.lequ8uaur uu8uap ueurou urerterp usryeqpru{uls ruqrueS UBUS)I r{Bleqes p z'0I rBqurBc eped tuelrueq rBqrrutrp tnqesrel {otBB

'uendtunl e6u eped ndunyp 6ue{ logeq rnlun Jnlual uaurou, urelOerg z.ol rBquBcq vep e ugurout uJEioBlo

1_-.- pl

qqec &rpueur {qun ?,y uaurofi

'(r)

(unun) aled-eieg Ffttryst1t

(sflarelll )|qBq) q u"p r !qsod.,€e€

uBqeq Eye€oq Euopdrst lotrg

z6!

U '1. ='r! ueuroul utrrDelq

Page 209: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

U

'uaurou, lsnqulslpsu g.ol rBquBc

CSI -----:- .i;- .--.--.:

C------8vC-r--- -\:*<-::---_,

tm_fo-_**;f "*h

usrsr,rrpuer{ruapu"nunru","?i#:::#'{:r;:^?i?;ffi#":;'lT":*?rT:#;fr;B{Btu 'ute1 8ue{ u,u,qaquad ue18u_ntg-radurau {ruun ualtel8urllp q,Ial ue8urdq ueuroru BuarBI 'l11rpes qlqel Buusedrp uendrunl uu8uulnl u?Hltuep uetuap uBp lrce{ Wqal Buef uendunl uetuotu uo18un1rq-radlp tudep u*urrurraa tue1uq .*n.rr4ntu ue3ugdul ue..,o.,, uBlleqDlsSuau 3ue^ uuqeq ueEuap Brues Eue{ uuqaq upea ,oenel )fgpp 1gn1gr$lgru uendunl ueruo(u '€'0I r,quug eped qoluoc ue8uap r,nses .luIx .uuSuudei urauqol;;{d;;Fr* ue8uap uerysesuaduo{lp pdup BI?ru .Fuerq1p ,{ril;i ueddrunl uped uu8uelnl e11g

uer'equednlesue'uap{or'q*";'I"ffi ,H jrHl?r,H,fiH;:i?;TtJ,;,X,,#]",,*

uea uep uB{ r B n ses rp s ru,q uea ue 1n ued rr*:;'X,j|iifr:# il:,i;.;i;# ['J3;ff] luBcBtu e8rt depeqrel uBrPuBJuarIp sruBq rur ru8ulaaqopq'ueauelnued ,nrurrur-r"4''q'€'01 rBquBC Isunlls ueururecued uuludruatu 8uu,{ gy Sueluaq uped unur$ruru uuuuqequ"o unau"i ,Jrp4rrq r.g-0l ruqtuec 'lulSuruatu qlqel tunlul$lBtll uuqeq lreqlp 8ue{ 39 Suelueq eped ue8uednl ur*o* uel3uepes

Iselo-t leqqB un:nubu g qe8ual uendurnl ualuotu :lsqlllp tudep ueruoru rsnqrrsrp dupeqralIul {nlueq ueqeqruad qruuSuad "q.E or ,,q.u,c uped ,qu"1 ,r-o* "rrra,iip ,li=;;-'u,p rsseq qrqar uBuB{ B-uqueq unrnpuer l'qpp Isqoreq lqlpas ,r*'X*r1":?:::.ffiHT re8elaS->1o1eq'ulefural z{LQI r,qu,c rpra lnio"q *qrq-"a *rriarrp IrBC

.or-nar ue8uapIu'qaqrp urr Suelueq wp

s{Eur1n ue8uap lwqeqrp ueuel Euulueq.rq.€.ot ruqiuuc rd; 'g uendurnl epud IPeFq uu>p ruEela8 uupp *n*,r1r* ueuoIAJ .rnlual ueruoru ururEerp usla{s uaqtuotu ttE or ruquruc uep pefraf tuef 10pq )tnlueq uuquqnrad uu>qnfunuau

"'E'or rBqur,c Euquaq Bnpq upedunursr,u rrBqeq ledeprel ,r-Eorr,qru,c BpBd.qer

13eqra1 dnplq wqeq uu8uap uendunl dlt ,rrn rp re8elet-rypq dq"; g.0I r,queg uped uB{lroqlp qoluoc re8eqa5 'ualuotu urur8erp ntes FBp qlqel requruErp rnanp ueplr..,ap re3elaB{nlun ueruoru urerEurp s,fBur .rseuulraq

tedupr naelaa-1qrq qnnq"r'rpri *qrq rrr"q rlrguoutoru lsnqulslpau .z

a

tb)

duelnueg uopg ueeuwueJed Jesepteae786t

Page 210: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

BIrg 'lnpns rsslor {nluaqrq {Bpll g BpBd B^\r{eq uB)llndlurslp rnqruls uleurs l8es IrBC 'qnued uuqaq tedupuetu Og uep gV Eu?luaq lBBs uped pepal g ip *n*l$[Bur uaruohlg P lllntul$[Bur ue(uou uB{nluel .I

:ue8unlrqra4

'qnlulu tuus eped uatuotu IsnqqslpeJ ue{lueJrruruau uu8uep qtlurd ue3uelnl up{Bung 'B Ip tuntuls{?tu ttundtunl ue8uulnl uep tunruls{Btu (8uu1uaq) uu8uedul ue8ueinl qe18un1r11

:e.(ue116

'/z r{oluo3 ,IqBq BuroIS ,.ol rBqlrlB9

(ztucp{ N?7,) Bdhl UvZ = tt efeq nlnpri(zurcF{ 0SI) Bdht SI = '! uolee nlnl4i(,tu/3r 000s) ,uI/N{ 0g = w nr}r

runtur$lgru ueqeg(,urlE{ 00SZ) ,ur/Ipl SZ =

u$ n,n runrurunu ueqeg(ruc SS) urtu gSE = p i(run 09 x 0g) zuru 00g x 00g )topq uerruUl

'r'0I reqtueg eped Brrra{s lrunueu. uendurnl e8n uped ndunlrp ru8eleE_>1o1nq qrnq"g

:lnrlBla{lG

le qotuocue6unl!{rad qoluoo 't

Bue,( Ie..,rs{Bru BuFetr,qer ueleun'Buau u,{u,rusrp {upp.,u, r,*l}.1ffi1,ffi1r"['Ienses

'Bcunc uu8uep uu8unqnqraq EunsEuBI {Bpp 8ue[ Jnqnrls eped :arurl selrsrlsule uetuotu \rcp 0/096-o599 r.edrtn, ,rnqrrlrrpal rsulug .'Bcenc uu8uep ueEunqnqraq Buns[ue1

Euer JnDIuls uped JeIuII sslISIlsEIe ueuloru gvp obg6-o6g6 wdutes rsnqulsrpal rsetgg .Slser8u ue8unlSuq LuBIep ledupral Euef rnl{ruls eped rsnqFlslpar unrlrur.i3ueur uuaueJ .:lqlreq rc8eqas rseleqlp tudep ueruoru rsnqulsrper erleru spprd uBS?IB-SBSBIg w{rgsgpreg

'r8e1 uelnruelp s.,eq und 7_g1 snwnu €0-I66I-sIr INSxs ruBIBp ]u8rug .rEe1 nlelraq

)tBPIl II leqsr uB{rEsBprrq Tr {sler-ruqel'uBBsluauad Buf,rou urn1r1r"q"1 ,rrv .^ig,opep rE8url qlqet ]u8ruq B{eur n!

r'g = }uulrerrprcq'a*r( uu8uelnued upeiuep uapunarplpllpcs qlqet ledualas'ue8uelnuad etefurel ue(uoru rsnqrrsrper rnlglaru ue{rupuv

'4t {ular ruqet uep (rsnqr4slpal uelEunlrqreduraur eduq ^! g,Oresaqes) '/ uutuqu ufuq ue8ueEar ere1uu uutunqnq ueplnfunrip g jrrarrra € qug tuBIs(I'uulEunllqradrp snreq )plal dupuqr4 ueurorr rsnqutslpal qrueEued B{Btrr .uuqnlurua{ eibststrrBIBp ueruoru rsnqulsrpar uped uelrusBplp )tolBq uBp Islrq uuEuupl uuEunlrqrnd r[Ig

rIIIIII

iIt

.

:

iI

II

&

661(tunuq) etteb-erbg Frrq4g7

Page 211: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

,a6 =

/36

U

'zz rloluoc BpBd uBupqequad eure{s g.0l reque9

a)

f "i,r -"*"r4ll+-'rll

Png

uqrJaqrp suef rssnrrs .w n,,r ru,qeqp,$irt:Hl}H#;,jrd'iJrH?Jfi[' 'urnrursleur rulru redecuar.u Jg SuqueQ epud uu3_uedu1 ueuour {nlun rlna *p1*"q'

r upqaq r p flv Buer ueq e ltq . u n u r

s )rBru re[ u redec;;lu'fl?f"iBxrTffitfr ## untur$leru ue8uedel uauour rre{nluel .Z

tuNpI 9'9ZI = z0'9'0S'!!I * n'n = **rlnl

qe,"pe re r u r r sur r s rr ssre uaruoru ;y;l'JJff r;,:j;H,="*1,,,,

8Zt,1^T

3 uBp v lrep

l,fit

TlMl = 'w :nBlB 41 = 'fr -!zl'"141 tl& ^

ru8uqas qulreq ut8urqas .Q - lnpns lsslor IAiIgcfr=

*dr

rnpns rs'roI B{p*, },g ueuou u.qeq r$["1# ffiIff l;L:;?$Hli:rt;'*g,,[Ig n!

= "dlt!^

'@t't laqeJ. SueFuag uole8 usguucuered IeqI wP lgerg qng lg_rlD {queq *qrq-"d lrdrq-"r luue{1p Buer sn1llru ueleun88uaru ueEuep 3un11qrp rcdup IPeFet Euu,lppns lsslor e)leur 'g eped Euolodp re8uleE-1opq

(p,

V

= ,(/f)'f = "^rr =

,t = lfr **[eped

=;T-ff| ='u

Ev der

ht

0=J

-ou

auEnueg uopg ueeuwueled Jesep-Jeseo002

Page 212: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

ruN{ g.ggl = z0,g(s,zr + sz)i = ,nr{BIBpB rur uuEuap Ipnsas Buur( g uundrunl uauoIAI

" "

t;ffi:1; #;::1,;l lli:-J3,r;,:.;,ur/ll?[ S'Zl = gz'1 = (*n,rt "n)1 e>Ieru

,rrr/tg SZ = qlul

1r1

udruaq ru qoruor ru,r,p ,nrr",e{.o ,#lYfjr#;['(ldel uenduru Fep lf >ferel eped rpef:at Sueo

{! :_i"* uullrsuqEueu q sns,r lrunueu u'u,qequad

0 ='ru uendunl ue(uoru rBseq g eped ,rrn- .IIBq.,a{ dnlnrp redep ut8uor efedn5 's'geq ndurnuel 8ue{ Suelueg irarq", u'Dplolraq Euslueq pnpare88urqes (s'ot rBqtuBg reqD u,,(ureseq utues Euelueq Bnpe{ epedlnpnr.rrrtor.elu{ua;

Ig ?Z:JB tuqueq IrBptlil

''.?.'* :gy Euqueq IrBp,lA

r,nses rpe Fq 'ue,r

r npns r seror p{,ru . r'lIil,ff :,TJr:Tiliff Hlil#il#Ti;

(ldal uendurq Fep lt {Bpteped rpeftetl ,16ff = n*rn

7lrttl = 'Y{r{BIBpB (I rnnq lsqlD B snsu{ lrunuauwueqequad uped ueruorr rsnqulsrq

qr nlr :3g uped IBrcl ueqoq

(* "n. -* nr)

(*"n -*"n) +'rnd{

t* "4{ = (* ndt

-w "r) + .,l'irtt

le sn${

:u?plnuep uu8uap .S.0I rBqu?g uBp l, snsB{ ruEuqes lpelrat Euur( uetuudel ueruou-uauroru uBrrlBFunfuaruIm{nruelrp rcdup gv Euelueq {nlun unurs{uru uuEuudel usruol^J

+

:JB Sueluaq uped ueueqaquod

tq snsul

:39 Suqueq upud ueueqequred

:e sllyJ

:gy upud plol uuqaq

:gy 8u4uaq eped ueueqaqured

lq snsel

:BV Suetueq upud ueuuqequrad

eped queEuep

toz(unuq) etbO-eieg $nqltslg

Page 213: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

?

Euauaq ue,,o., JBSeq uep te{Eirruau uule uundunl ueuor,u JBSaq B{e.., ."rrr'lH:[I tuolor sllg 'nlueuel s?lsq uped rseuB^raq Euu[ upn>le>Ie{ ue8urpueqrad ueEuep ly,g Eu*ueq ueuou rnp'I4r uundtunr u?qr-oru I]Bp {g'r3 >ruuag ueq..,e.., f,.ol requ,o .o(trg) g = rgs; unu,*r:

fi3- rrul^T = :'tiriJo-"q'urlarrelp r0a)Ln-,u* earuq ru'eqag

'lsBIrB^Ieq le8ues duE8uep Awf,\gglruolo{ uBDtDIe)t uep uslsuol de88uerp Buer( o(lg) rfofrq wn>Ie{a{ ue8uep at etcretu dnpq ueqeq lreqlp lnqesral Isud Bu4u11aru {olgq BpBd,-9.0I rBquBC eped unp rpuas uu1aa1-red puod,{r"q"; urrU"qp u:feru lrnsnlelp qlqal ledep e,(u8 rsnqlr1slp dupeqral /g rnruel uBn>Ie:Ia{ qruu8uad reEy 'un,pqEunurlP )rBpp l,luosuot{ uuqupurdrad lqri 'n4esuaa ueauap puod u,p r.Ioluoc qenqes ueryfu{uau g'0I r,quuc .tsluosFoq uequpurdr.d qrErrua., u,{u Euu{ (.ua{,) rnqnls-llur r{Bnqes qoluo? ru8eqas .lrgpulrllp

fdep ur:r8unur lquoslror{ uequpurdred eueu rp eues Suer uu8unlue8ralar u'rr's'preq leuod qrnq* eped ig r,Iru-r,Iru uu8urpueqre4 .rnDlruls u'r.lrunlese{ u,rul,re{ r,Iru u,p urBI Bru's nl's ]n11rurs uauoduol unrrjnrl"rl erglue ue8urpueqrad qeppe ue>l8urluadrp qlqat auef lnqesral rnqluls Bped uaurour rsnqulsrp elerural 'IuI qsq p'te eped sBI{Bqlp iunr'r,,rlru1s uped eKeB rsnqlrlslp uenufqp *BIB(I

lByod eped eAe6 !snq!4s!O ..1

ue8uequpasal lure'(s ueDlruep ue8uaq 'uN,r g'g9l JBSee;rS z rrlnq r.uBIBp "r;'ffifi* lunuatu uundunl uaruoru epeduep rssoq qlqel rur ua1uohl -r.uNI

16I _ --_ . ( SLEZ\ : >cc t lotz J.lEIBpB u'/'',lrp ledup qrs'ru gue,{ uend.unl uetuoiu u'rpnuex

ue8urulturl tuelep ryfu1 de88uerp Sg.0 = ffi ruseqes rsnqrlsrper nlens *r1?zt:utu I0IZ = 0Z r0

Z + SC,:O E qllldlp uendtunl ueEueln;zunu I4SI = A?,

dO S '_{llldlp uutuudul urauninj

ue8uelnl qrJr6 .t

(zur9I)zurtu89SI =eOI'SS'0. €.0.5600.0=OI . pq. d=,V(uuryselodralulp) 5600.0 = d

zullsl eeet = 'siio,io = # (Z rpnq uu8unlnrrad lrunuau) tupl Z,lgI = ofrn = T_I,,

(zur 9Z) ztlrut iL?Z =cOt 'SS'0.t.0 - OSt0,0 = {l

. pq. d =,V (uelrselodraturrp) 0SI0.0 = d

zullol 61t7, - zSS'9-E'}

= # rrz.s IaqBI uBp lgB.rc trunuan

Bdyt 00? = ! rt qnlnhl

(r qrnq uerunrrurJ1il",* ;#?# fl# uetuepl qeltunlg .E

** uopg ueeuwuered rqep-rweozoz

Page 214: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

uBEuep uDlruuellp ludep {upll IPeFat 8ue{ Bnp-epJo uetuotu ueurx8untuel BIIq e,(unluel*lef i'n?ePro ryp ue:|{eusulp uBl{nuap u1efag 'e,(ure8eqar uni uaruo(u uelq3uruedusrpeqn{Eiuatu uep p uulnpuel uBr.leqursuad uurynqurueu lnqesrel BrDle uatuol4l

rpuas uu:pta1:ad uu8uep r8el srun1 ryBa1 {Bpll u,(u1ee1Suei ryleq uendunl rs{Ber luqp[e (rapunlas uauroru) Brls{e ue(uotu rpu[:a1 ruolo{ BpBd'q6'0I rEqtuBc ueSuap renses qsqrueq uB{B rnllruls {nlueq .pluosuoq uBqeq leqDrv

'6'0I reqtueg upud ue11[es1p Buef rnqrulsqsnqa's tedeprp B{Btu'udrua8 wqeq'ut8us ueqeq u,(upsrur pluoslJor{ ueqeq frrqlp Bue1u11auIoPq vped und $l Suldues Ip 'ptuosFoq tuefoEral ledup 9'0I rpqturg nprd rnp ,pu.,uelaalrad Iutrd ellqedy'Surtuad ueuered tueBeuaur us{B uuele,(ua1 pg{spueu ugrup{e{urr8unu IIBqes qe,{ural'ue,(ul Blpsls rxBIBp e{u8 rsnqusrp uenluauad eped uelEuupeg

'Euqued ueuered Sue8auarlr uu>p'ur13unu {rcqas uBn{BIa{ uuEurpueq:ad uele:iapua,J nluns llreraq uer.{nlurua{ Blpsls urelBpe,(e8 rsnqlrlslp uunluauad BpBd 'uBnIB{eI uu8urpuuq-rad uped Eunluet:eq ur(ueq {Bprl ugpe,(tueuaqas usnlu{e1 epud Sunlue8req uulnpual .resaq B^\r{Bq uelndurse{ IIquBIp leduq

'e,(urc3eqas uBp r{Bsr_uled Burpurp epudIPeFat {spF nule ledep 8ue,( ue{Bsrua{ Brslug ledepuad uuepaqrad e,(uqoluoc-.tedepuadueupeq:ed uB{lnqtulueu uB{B n-usnf ob1tflT,rulrles uu1npuel uqelSuruad e,(ureueqas -

. objE_oz rBsaqes wlnpuel

ueurunued nPlB uutnpual ue{lelSuluaru ye14e Zrol{uJ uu8uap uen{ela{ ue8urpueqred ue4-ntueuou r.uslBp uBrtrlaueprlo>I '*0a) =\QE) uep q(7g;f

= ,Qa) erBluE rp 1ger3 tuBIBpuestplerdel uur8eq eped ueryudeprp JBSaqJet 3ue,( rsBIruA B^\r.{Bq n{elreq und rurs rq

'nlueuel s4Bq urBlBp TSBIJBAJoq8uu[ usrule>le{ ue8urpueqrad ue8uep Buqurlau roleq uqnpual {gurE )tnlueq usTreqlp8'0I rBquEC uped 'uBtleleseu-rad uu4edruaru {Bpp rru{rus uuuer,r?a{ B{Eru qgqrueq {Bppueuoru qrunlas qepunf Bueru{ 'untue51 'lpeFat uB{B uatuotu rsnqlrlsrpar u,(ulnfueleg

'obUe uBp 0z rqrxes ueuroru ueugeqrued uBp unp rolrBJ rBseqas qBIBsSuef ueerrxred us{luqnte8uau ledep tnqesrq r{srasp Ip e)Ieul lernqe auunl

qga,; urp lrgl ue8urpueqrod uunluauad uFg 'lpeFa Suuas rur r{Bragp ,ueun8ueq uesrpp:dal r8as ursIBC

- 'resaq Surpd 8uel( {gBrE uBrBpuBIeI rur r{Breep

rp B/$quq ueTleq.rod ''ug) -'Qa) uepq(7g)f = "uil qBreBp BrBluB Ip rBlauet uendurnlueulotu uep Suqueq uetuotu BJsluB uu8urpueqrad pep JBseqJq 8ue,( ISelrBA .zti

+ nlp,(guqruoq lupll sulaf (uendurnl uup 8u4ueq uetuotu) ueuotu qunlos qglurnf .qniraa

lrdelaluendunl reEeqas duSSuerp ledep n{B)t leEues 3ue,( uo1o1 'uulEuepes .seqeq uendunlru8eqas Suelurlaur {oluq nlelFrd '(inpualatu qupntu) Surdurer te8ues 8ue,( ruolo{ Bped

'n>le6uad ue6uap - pnp tpuos uelBlapad leyod g.Ol rBquteg

U

r$III

,Il

i;

I

lt

802(unun) eled-eleg Fnqilqg

Page 215: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

il = ,t,pvn$lsppp^ eped tpues enp u,lelepad teuod 6ue1ur;aur lol,q uqnpual.g.0l rBquBC

g t ? | f i + + + + +0

l0'0

7n'o

eo'0

,o'0

90'0

90'0

z0'0

80'0

60'0

0!'0

! t'0

zl'o

I !'0

tt = q rnlun ffi

,ru"nueouep enp lpuas uelegepad l,trod eped eAe6 rsngplslo z.0l rBqruBg

r f t + + f f +0

r0'0

?,o'0

e0'0

ro'0

90'0

90'0

L0'0

80'0

60'0

0t'0

tl'0

zl'o9Zl'O

* fu'wq rctq ueeue{ruend reseryeseoii{jtoz

Page 216: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'uenIBIaI Upp uauroul BJeluB ueounqnH Fpot.ol JBquJeg

-Fuf Fep (lordrser) u,rrpqe{ uuledrueur reaelaa uped 4pp nrsns #i:I|ffii:T:#,H tlsrB tuBlep re8ele8 upud rpeftet Suer ueSunlSuel ug{IseJ8etur8ueur Breces urBI Ippp IssloJlnpns ualnluruel'u urBJ '# ,*OIq WIBPB lnqesral rr$lnperrp 8ue,( ueruoru sBn.J,r

'..1$Fparlp Euul( uaruo(u senl Eueprquundrunl IsrueJ,, ue?_uap ue{ruuellp_eruunun 'seqeq *na-u Hunfn nlBs r{BIBs Isslor lnpns 'uauodtuor enPa{ ueEunqures uped Sueluqeu roluq usp ulolo{ Isqor lnpns ue eurefueu BJBcueEuap Eunlrqrp ludep 9'0I r'q.,eg eped puod uauoduol q-n1r, .ulqr*rp ue8uaq

Inruaq ueqeqrued ueuruesreduBnlusq ue8uap uu{nluellp tedep Iuud LuBIBp u.(u8 rsnqusrp 5ppuer.F{as uuugqeq{ued.upu4

ue6un>;6ua1a1 uep uauou eJeluB ue6unqnH .S

*r,o,uesInDr*s,rnrun:l[J,fi :J'ffiI'i,;t*J3,d;il,,#fffi ]:ilHfr?l,r$ 'nle6uad eduepenp lpuas uplqapad pyo6 6.0l ,BquBC

b)

+f

902

(e)

ftanuq) ettEfuetteg Fnqtsl7

Page 217: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

)tepll I I'0I reqr.uug EpBd uu{rfusrp Buu[uurarurle{ uu8unqnq ,rn1ue1 uuqeq Ireqlp

N 'l/y

.ttd__=,3+3 I

uuEuap runses uu8unl8uelel uep ueuour Brslus3ue,{ Suelnpaq uoleq Bueduuued r.lBnqes Bped

uer6elp'lagugt-uou sellsllsel3 .L

(tt'Otruqtue9leql) D Bl = * = ,,reteqas ledeprp

rnqruls ueuodulo>1_ uBruIBIe{ B{Er,u ,uu1d4a1rp } uep W emrlr. ue8unqng qBIelaS'x ueEuap stunl Surpuuqraq hl v*/;tua1 'ueleladlp uepllruep ueslrr x unaun1au"1"Ir1 *p

,{ uetuotu BJslu? uu8unqnq Bltg 'Bluss 3uu,( /A usnry{a4 re{undueru uuslJr qrunles epedE/hr{Bq n{Blraq 'rarurl snsEle uuqBq IrEp tBnqlp uBp utusFd {iuuaqreq reEelaE r{?nqes ,pra

ralull sellsllsBl3 .g

'IIP{ Bnp tsur8aluttp sruBLI e,(uenpal 'ueueqaquad e&cas uauou ueEunlrqrad uepI$lnperlp 8ue,{ ueuour-ssnl BrBces uqnpuel uetunlrqrad emlue ueuepedas"l ,1nd iedepralnll ulBIaS 'IIB{ nlss uelrsur8alulP ItnIBf 'uuueqaqued lrunuau Suelurl efe3 Bunlrq3uauueEuap Sopuuas r$lnperrp Buef ueuou-s'nl epoleu ue8uap lsetor lnpns BuuHBuahI 'ue1delalrp ledep ua(uotu uep ue8unlSuala>1 B-rque ue8unqnq ugrr11uep ue3uaq

.rz _\r-a)rs _e-Da _9__ H (c-tt)hl o I -otedeprp ?I?tu >t snuru ruBIBp ug{rsrrp rrrplsrat ueeues.red enpex

I@- q177 - o eduaq Lle^\eqral 1u:as eped ue3ueEal

a6 = 3 n{BIIeq e{ooH svzB lrunuehl

:r rcBeqas ueldelalrp ledup uerpnuer ,1 - i = , 'r3 I

n{elJeq 3o1uuu BJBces e)IBru ,3 lnqasrp sBlBJel lBJes lgrsads ue>lapuad-rad BpBd

'(c : tt) = I = >t uBD , - -l

.,,..r2rrr = - -n 3 :

i = Jr uuv = = (;:it 'e>1etu = = nv,

r{Bmeqret leres lrpp lgrsads ue8uefuedred ue8uaq

'n = d

^v Q-q)ueryedeprp uSrlr8es ue8urpueqasa>1

Ireq '4V rBsaqes ue8uefued-red nuule8ueur qs/huqrel leres '(rlpnourag sesy) rglgptueprq ueludruau delq rslep Suuprq eped uesgr-uuslrr B,rrqeq uude88uu rusgp uu3uaq

.uulsuo{ de88uerp ueuro(u nl1 EurduusIp '^v Suefued ue8uep {opq ueruela r.{Bnqes ueFqepuad ruqrue8 qnpp, ,0I.0I ruqu,cupud uep rnlue[ ueruotu urerEerp LrBp Buels ue>plnfunuaru q01.0i JBqruBg .BuurequasuBqeq Faqlp uep sBqeq ndunllp tue{ re8e1a3-1olBq rpnqas ue>1rfesrp ,0t.0I rBquBc Bpsd

lnTraq reSeqas u?)lrBJnrp uB{e rur uueurusrad uBurunued

'+ = 9 =, :re8eqasleuelrpu{ruu{eurle61NI

foEnyq uopg ueeuwuapdt Esep-Jeseo902

Page 218: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

r n)t

'>n weroqo zl.0l rBquBg.l

lr,ax

))N

It1/

ntt,1t

'(ueueuuad) 8uu[ued r13uef uuueqaquad epedFup lapuad ol8uet ueueqaqruadeped r83url qlqal Suer('g Pilu lrqtue8ueu uu8uap w{n{Blrp lgdsp e,{uue>18uugr"d*.*IIqaJ '(,daelc,) 1e13uer ulefe8 uB{BlBIIp usrxruap epfa8'1e:18uruatu ue{e rsgtruogap .eure13ue,( u'u,qoquad teqpp uotee e,rqBq elnd rnqula)ilp r&lar .nu,/h uped iunluea:at i, lruui ueresaq '1eler uolee unrpsls eped undnl* ,r"r", unreq uolae unrpsrs upud Teg_ '7,I'0I J?qtuug epud uelaadp uB IB rur ssls Ip uwpuer sulaf qlqel reEv jrrdrrrrl"r{ ,{ntu- uauoul eSSurqas qeqrueq ryr i1a-Lq Sued uaruo(u reseq epud ue3unl3ualaluulu18uru'ed puf:a1 uu{u qalal seleq redeouatu uu8uelnl eluq {elatas .e{urnply

'{sleJ uolT Suedureuad Brsraur uaruotu r{BIBp8 "7 uUtuap o/ *pi uurplred lrseq qeto uqnlueUp SunsBuel-req ue{qer qelales } upp hl e;117tu1 ue3unqnqB)lBtu '1urleu slrB8 e1 redues {qer Suef uolee Suedureued B/hqBq de33uerp ug{repuv

'I{Bqrueq Is} uetuolu JBseq ue>18uepas >t uele)lSuruad uped rpeFel 8ue,( Iutuoslrorl slrg3qBnqes ludepral )r-W urur8urp uBI?q 'Suns8uelreq ur:{elar E{lla{ Bun48ualaur urxgruesuu8un18ua1e1 '1sler r.lBraep BpBd 'relal uurB uoleq BuudueuJ nrlr* -w ='ru eia

ueuro,uqsrpp,i*'"lXsiffi ##ll','J1[#Lffi1tr1]itr-'ff ff ;il^'L:iI Euudureued qelo ug{nluelrp_ue{B /g uergseq undnele ) uep w erl:*v ue8unqnq Dlgur ohl > lr stuBles IUBreq 5ilrul ue8ue8el u?^\Bleru fdep qrsgru uolee Bueduruuad uurBIaS .r8u1 nluFeq

Ir 'x uep hl EJeluE lapr; ueOunqng

n'

LL'0! 'BquBg

LOZ(unuq) etbO-eieg pnqryq1

Page 219: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'(or-e's)snumu ue8uap tuolol uBn>lBIa{ uelnluaueu {nlun ueurx8untual ru8eqas Ieqsl uBpryeIi edaaqeq u?{lreqlp Suulnuag uolag uggugJuered IeqBJ uep rgerc qng tuel?c

dnp1l ueqeq =(uauerurad) peur uBqaq =

(-I9'I + o.z'r)-- _- =

BdI I 000007, ='g :ue3ue1nt ssllsllsBla snlnpou = JnDIruls uauodtuo>1 Suedueuad lesnd nquns dupeqra ueEuelnl BrsJarrr uaruoru = uu8uulnl uulrcqe8uau ue8uap {slal unleq uolae Buudueued ,i.rru, ueruoru =BdI{ ',Jt ooll = "g

I-S'I'E lpsgd ue8uap rgnses uolee ssllsrlsple snlnpou = "guu{et Jn11nr1s uauoduro>1 rnluel uen{pla{ = IZ

= 'lg

:ue8uaq

(or-e 'e)

-looc

sg

a3

III

oc*I;, 7?l Ig + l;, I

\ / s/-SII INSXS ltunuetu tuolo{ uerutqe{ uuleun88uau

'EI'6 rBquBC lger8

udrueq Z'S'tt'€'€ tBSBd g0-I66Itudep Bnp-apro e.(e8 rsnqlr1slq

IrBp lrqtuerp elnd redep yl ru ;BIIN

='ru

(tt-g'g snunu go-I66I-sIr INSxs)

ru8eqas g qpg urelep uolo{ uueuecualad eped ue:pun8rpBIUBS Suef uBn{B a{ uped ueqrBs?plp tedep leuod urBIBp nles-epro e,(e8 rsnqprsiA'e.(rueueqas uBruIB{eI depeqrel urx8unu lrgqas uqelepuad qBIBpB uuuerad rpeluau Bue] .unp-epro ueEunlrqred epe4 'uBruIu{e)t ueEurpueqrad qalo rgnru8uadrp Bruu1ruel ugs-apro e.(u3Isnqlrslp ue8unlrqrad rup1raq 'lpBFq tedep Bnp-apro ueuro(u BuBru Ip Isuod BpBd

'(ryter unleq ne1u {qer) Suudureued qelFad eped Buntuetreq uFI)ter{ld Ip u?p (qe8ued ue8uap nqe edust) uapura>1srp Buef rnDlngs eped Bunlue8req inqtd nlBs Ip IIquBIp Suef {opq {lep uloto{ uun{qe{ uEreq'elefural np1 tue,( ugsgqgqruad upe4

loleg uep uolol ueDlapx l-glPuod UBBUBCUAJOd .g

'uuepedsurrla:1 tul8une{uqus-qus uu:pdn-reu 1uI'laruq-uou sullsllsule uetuap JnDIn-Bs *rrrruriad uurynqurueurnDIn-Bs qBnqes IuE?p nlueuel res epud ufuuueqas Euu[ i uuresaq uuqsed:pppax

s'z )

-t

tc I

ra)

duelrypg uopg ueeuwueJed Jesepteae7goz

Page 220: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

ru1'(te18url uer88urla{3ue,( IBur$lur.u uatuotu

(6-g'E)

uuqu8uagadtp) uolol Suetuud qe8uel-qefual rp 1edep.ra1Irep us{urunllp qg

rusaqued roUBC .rs{ero{ roDlBJ nlens = -J

.8I.6 ruqureg eped lger8 uu4uun88uau ue8uap olg unp )g uelSuepes 'ratur selrspsera uoel ;rt*;{irr*o , edep ";1,t1 uep qzl/{

redup Buu{ u,unqeq.ued ruqpp .uoro{ Bunrn ",i:il,XH';::[:i ffifilT:rI = ,r,r

)rspp Eue,( upu,qequrad ruq*e r.uoro{ rrl,?"'1,*;rt'::::"rXr:?IiH:I l?1xi - ,,r1r'(Ot-g.g) snuru uu8uap ueldelalrp qqcq 1g

:ueBuep

,(H) ,

W=d

(e-e 's)

:

Q-tt)

(g-e 'E)

0'l <

0'I <=og

:ue8uap

*y'{ 'g + "ru *g

= 'r,g

IB{Buau ueEuap rru{nluelp tedep Bnp_epro ueruotu qnre8ua;Dtedued eduq pyod ueeuecuand e.g

(22 ol-=--I \.d3

f4i -,.]\d / -)

res?d r0- r 66 r - s r r rN,sx s . uel'unlrqrad rp sn *-Tffi :-[iTfi irffi ':r'Ji#J ] j;i;: qruu8ued undneu nle8ued ue8uep uoro{ resaqtuad lorrtnJ qn eauaa ue3uap ."y,g uauotu uBp "d IBr$lB uuqeq depeqral uu{BueJuarlp sruBq nle8ued-eduel puod rn1{ruts tuoloy

i

(22 o )l.-Ea -'J----I re8eqas n)IBIreq uueual 1e13un uerS€una{ upud lauoslroq ue8uufo8 qepunf B{Bru 1u18u1l dunas rE8up qelo w{nluallp qe8uad rdurt lzuod'tuoro{ qrunres u,n,Iu{a{ w{q'qesrc

(2 o )l--o- -tl ., ' , , re8eqas sgnrrp ulnd redup

IuI rusequad rol:1e; 'n1e3ued edu4 r.uoro{ {nlun u^\r{?q ue14u[urp qe1al g qeg tuureq(r-u)resequad roDpJ

mz(unun) elefuetbg $t qltslg

Page 221: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

t+).(+)I=

oA JpBIer uBnTB)teX

(o >tttp) sete ugr8eq urolox

:(ft'Ot requug ulnd 1eqr1) re8eqas n{Blraq e uBp J Brslue qe3ual uolo{ In1un

= 'h JIlBIer u,nrerax

(V fpp) r{B/treq uer8eq uolo)

ta.(+)

t+)(+l .{+J

= ,A JIlBIer uBn-IE{aX

ltz

19 1gF) sele uurEeq tuoloy

:tqFag reSeqas n{Blreq g uup V Brslue ldat tuolo{ eped

'1oleq undnetu uroto{ Ouefued upp uenIBIaX ]t.01 rBqueg

(unun) ele&eleg lsTqrtslg

Page 222: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

?

7-

9'0 + IuwN eol''g'z16 =

:rda1 tuoloy

zuruN egt''g'ogz1 = $ = org :ror,q u,n,1,{axlsl'- tt

[,oorost'T,g) ,d*r _ j,., /\lJ

t+l \ IA)re8uqas ueldelalrp {oluq usrule{e{ )tnlun

I t'. ')

[,oos'ose't]a )

zwN rol'k-Er€=#= ,rs

[,ose 'ost'*'z )

= 'Ig

. ru8eqes uuldqatp uoto)t uurute{e{ Inlun '9'0 = od pgu dusSueBuau ue8uap CJ uBp gV ruolol lrep "t {n{at Buefued ue{nlual

- :e.due11q

ru 0.g ='l : {oluq BuAuaq Bue[ue4ru 0', =', r 1e13ugt uerSSurlay

(zuc 0S x g€) zuru 00S x 0S€ = q x q :qu8uq tuolox(zuc gt x S€) zurru 0S€ x 0S€ - q x q : rdel tuolo;(zuc 01, x Sg) zruut 00L x 0S€ = t! x Q :

:I""-fg :uBJn{Il,I'0I rBquBD lrunuetu uu{ueqrp Ieuod rnl{ruls pep uelEug

:lnqBle{!(

ueuun11qtadllrl:;;?t

='AJpBIar uBrulB{ex

(C ryp) qe^req uurEeq tuolo1

= 'lg :qe8ual tuolo)

(r r-s'e)

(+[+.) =

t+) .[+)

t+) .[J,) i

t,t,i]t

tduetnyq uopg ueeuarueJad Jwep-JweozLz

Page 223: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'(t/80'0 + St) rsseqes wllsuluas{e unurultu pludrp sruEr{ ueflunlrq:ad tuepp .g.g

gerEuru4 6 qeg ue8uep runses B{Bru 'uouroru ludepral {Bpll nu1e lrre{ leEues ue8unyqradlrunueu luduprp 3uu,{ tuolo{ 3un[n uauotu upq itnlgeq ruEuqes ruIBIreq und n4e8uadedugf puod ?ped 'ue1du:a1rp n1:ad {Bpll ?np-epro ue8unlrqrad rpu:eq q g,9 , "lrl {ntun

'q g'g > 'yq nule zZ > rylrltedeprp lnqasJal uqe:u[srad tuulgp ,r e8req uBT{nsuuaru ue8uaq

'qE'} rBseqasIIqurEIp qeloq r8asred Euedueued {nlun uep rse-rr8 snrper qulspe r. :ue8uep

. trqnuadrp JteduP ZZ > r-pt

:lere,(s elrq uu)truqulp qeloq Bnpepro {aJa uB{urh8uau V.tl.t t IBSBd

'snuouo{e 8ue,( Jntlruls

(or-e'e)

u,ru[B{er n,f,ru ,"( tl) , - 'Ifl"tt 6

{Bpp resaquad roqeJ mlB,( n4e8uad

'lloa{ dnlnc + rol{EJ BIrq ue{Bun8lp nlred

uu8uap lsuod uped uelerelnrp 3ue,( ue8uep runsas

c

^.,- qol'g'0921'zSP I = --- 000t- =

5

eOI' g'Et6'z

ueeueqJapaiuad f'g

uellrseq8ueur r33url 8ue,( ue8uelnl assluas:ad eped eur4rue1od*I r

re s-----E- = 'lEIE + IA

ue8uap uu{nlualrp ledep urolol'a d pttu rBsaq uelnlueueu ue8uap ue1:nlrdrp srupq Iuls IC

(2 o \tft -,J s

'uB{nluallP lBd?p

-T- =

'g

reseqtuad roDlBJ B{Bru 'nl{ In{.1 8uefued ueuuuq uu8ueqtu 08'S = 0'r'Sr'l = "l>l 2 gr'l = ? :CJ urolo)ur yz's = o't'I€il ="p! i Ig.I = 7 :gV ulolo)

{nlun ?ceqrp tedep EI'0t reqtueg lgerS.iraq

0008

'i9l'l =

(1'\[uJ =

[+J;=0'[ -

ah

,h

,A

( ooos ) ( 1'\

o,r = !e,t?"-l = l,EJ t =,a t oooil

= mI

Ipr"€r€z.l IUJ =

lqlreq ruEeqes qnd uu:1tedup1p ufulnfuelag

eLz(unup) ele&eieg Fnqilq1

Page 224: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

-r' 6Z rloluoc ,upqaq ueouap puod BuaIS gl..ol rBquBg

'9I'0I rpqurug eped ue{rfesgp rnllruls Bure{S'zurr.u 00? x 008 lpe[uau zurru 0S€ x 008 IrBp resaq:edrp ue>p

9Z r{oluoJ uu8uep Burpuuqrp tuolo{ Bueduruuad s{stu .ru1 luluoslrorl ueqeq uu4re&prag

N,l 0tt ="g reseqes Suelurleu {ol'q eped letuoslrorl u,qeq Ireqlp l,uod'lQI 0S? - "2' qeEuel urolo{ eped l1p1 O0Z = i :rda1 uolor rad .sele uulteq rn11nrts IrBp ueqeq tedepral uolo{ npra

,ru/l\pl 0L =,n,n ueqaq lreqlp 8uglur1eul {otBg(zucp-I 00Or) udhl 0O? = ^{ nlnq nrnf.t

(rucl3{ 002) BdI I 0Z =,d uoleg ntnIAI'qe8ued edusl det8uelp l,uod 'tut uu8unllllrd qoluoc eped eluur slBq )loqural ue8uap Islp )t'pp Buer'x

'92 qotuo3 uped puod ue8uep runses lnqesral Isuod'62 rloluoc 'lsuod gl.ol ,BquBg

'SI'0I reqtusg lrunueru puod qenqas

:lnrlBlo{Iq

6Z qotuoctloluoc g'g

i

,l

ii

lll'

ry

008 x 00, ooe x oo,

tlr 0Og x OOet

Ouepyeg uopg ueeuwueod Jneptese7

uedunlyqtad

ttz

Page 225: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'62 r{oluo3

tuolol uBSuBInl wlSunlrH:B{uqlC

p:I 0 = "d, ge8ualuroloyfel ZZ T =

nd , Idat uolo1

:q uetuotu ruer8erp BpBd

tq:I 016 = "d , qe8u4 ruoloyN)I 06€ = "d , rdal ruoloy

:s uetuout uerturp BpBdrIBIepB 3un1rq:a1 Bue,( IBIptB e,(ug

'uoutolu urelOerg Z].Ot rcquBg

Ltz @)

.ett 0I ruqtueg) IauosFoq uBqeq vep (oLr'0lrBqurcc) p:1pezr ueqeq luqp[B rnluer uetuotu ruurSerp-ururSerp leduprp

oC*t_q

f- sJ=.Is(.T?.1

uep SO =

,g uuauap H =

,rs

(.%,1,p?d uulreseprp tuef u'n,t,,Ie{ uetuap er(u' rsnq*srp uuEunllued Feq

9lz(unuq) a{ed-a{eg $nq4EO

Page 226: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

(ft'O ruqueg tuan8ouou urur8erp) S9.0 = )t

(o's) (-,)Ee'r=iE{ =H='a

t.o%81 IUJ

,Drrreq rereqas $i,i'jj:iil13,,=,#

zurQr0088=& =rrs\ oorsql

zuNl 00tS9 = zwN .0I ' ZI'E ' OZOrc = 'fgzw o0I' Z,t'E = e00S

. 00g . + =

rI

S'I ,

-J =

ola

t.l?J:ruteqas ueldelaup ,lA {uun

zurel096g=g= rla(s'z\ (ooseeJ

zulQl 0098€ = zwN cOI ' 9'I ' OZOIZ = 'fgzw o0l

. 9.I = c00? . offi .

+ = rI

zw/N ozot|, = oLr ooL? = $ 00Lt = 'g(s'o = oC) s'I

- = r

rsz\ = IA

l;, I

\Is):p8eqas uu1d4alp 1g Inrun

,(nt D r ,.L-- -

,

"IZ ru q

f43-,.l0'I ='3 nletuad eduq 1uud Inlun ' .\--dE / =

.g

on'g +*n tg =

t t uu:lnlueuetu tuef ueurout uep Jesequed roguS uerlqu"g .I

:uuEun1gq.re6

duefiyeA tqq ueet aueod DsE?teszo9tz

Page 227: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

--lI8'0 =

tA

,qrraq reEuqes .*[1Til#:ii:3i& ;#ln"tossr=ffi=

-lZ rtt

(gt'Ot r?quug ruertouou tuerEurp) ZZ,l = le9'l = th

rn{rreq ru'eqas [fJlri','rfil]3;r#zu|{)I 00gg =

o?g)

zulel 0969 = .(/g)

,(^t'D r

W=d ('a o z )l.T =

-t.l r--lT--- = I

@-, f41 -,')8o'r=#=t "U, l-.g

*,l ooggl ,(os'g - zg,o)

=-9657- =

(St'Otrequregreqll)ur gs.E = n1

ue3uap s("4) - A 'I3 rtr

$yO ruqueg uer8ouou 1ge6) 29,0 =

r8o=@=[+] = "a ruu= ffi)

=[H 'a

mrrleq ruEeqas "*1gillfill,3,,=,# {mtrr sq o) "a 0

---

lqqtaza\1nl,0'I =- ---' , Qz+oo€l-t = T--, 0'I0'I=*g

.Nroorrr= ffi-= o1

ueruap ?Ir,l = A ' 'I7ru

(unun) a{e&abg NrytqOttz

Gt'Ot nsqumg reql) ur 0S.t =

Page 228: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

16z,0 _ ,!. sg-,o . ov 0

,d

8o'o=95=: tz ,2

y- lZ= 008'e0'0 + SI = (r/ €0.0 + St) = ry'a

'uetuoru rdrpral rypp J$uel nquns s-n1 ,fra, ,{r; *pqQe "0 E x d zurur 0€g, = zE

ao g qBIBpB luls Ip lBpBueru Euexzultu 089, = 00? .

0O€ . 680,0 = ovd

= ni6€0'0 = g'0 ' 6X)'0 = d :g.0 - C ,ran OZ =,, .f Inlro

ueledupl p qz'gleqsr tuelnueg uole8 us,rmruarad leq'r u'p )tgBrg t ,r#n'ffi;SI'0 = Y = #

de88uetuau ueauaq

zzt'o= s€?t' t6z'o= (+) t+."*)

s1r,r = g = {,** rLg =,e ' ?L9 'e

?19 > ?62'0 - 0z 's8.o__qg@zt .s9.0 = 000068

',{'gg'o'ov o

-i--,d

zunu 000021 = 00f . 00€ = 'y :edr{ 0Z = ", ! ulul ?tS> uruI LZ= 00r'€0.0 + SI = (q€0.0 + SI) = ry.,a

*tu il.S = vt ILS,O = # = + =,?

lgl 06t = n,d

urN)t ?cz = "H = nN

zrrnu 00t x 00€ = q x { .ldq uroloxurolol uuEuulnl geltunlrg

IUN{ 89I = U?l'OZ'I + 0. g0.I ='N (ft'Ot rBqurBC ulnd luqq) quEual uolo{ BpBdIUN{ IZZ = ZL ' UZ't + T,E[ .

tO.I = "NOt'Ot rBqr^uBO elnd 1u_qr1) Idar urolo{ sped

oN'g + nN tg = "r't,

}.pI SXnI = (ssls + osgt . z) sg,o = "d3 0t.pt 069I = o16 + o6EZ = k3

,

$

tfr'7, I

tp1 ssts = .9!'-l'-zz'D - 0968' .z

ru 0s.€ = '1 ueEuep 1?) = "d'13

"u JpqtrrBg ureJEouou urerEerp) Zl,l = 2t (gror

eryuq wleg weue,uared fisepq*seo8tz

Page 229: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'ueun6ueq EudueS ledurq uep rpsep tleuep pep eura)ts gt.Ol ,BqueC

'(Eurduus >fedulq) qgI.0tuep (resep qEuep) p8I'glreqtu?g eped uopua{srp Euef rnqruts'uutuap ueun3uuq qenq"S

:!nqBle)llo

lBuod ue6unllqJad .6

zunrr,gIS =OZ.o0 t * SZaO g TIBIEpB luls Ip rBpBuratl' EueA

zultlt 266? = 00, ' O0€ ' 9I?0'0 = oy

9Ir0'0 = ZS0'0' 8'0 = d :g'0 - C

ZS0'0 = t:%'91?qBI tuulngag uplag u BuBcuerad leqer ugp {gpJC qng epud.>1gert lrunualnl

Suedueued rsrsLFJntas epud uetuupuad ql11d1p B{Btu 'Ftun le8ues tue{ srruas uuqeq u6lrgsgprag

rIi

,i

ii

#1$

rl

00r q=-=- S8I 'e

n

,dr=F-=e

nNl 016 =

o,d

' ull\pl 89I = 'n = "lq

'uutue1n1 p*$re u,rrrnrnqrp )r'prl rr*ruuq s.,nr *rfilIHIX 0 = r :q2.9IeqBI tuulnuag uoleg lrgeuucuered IaqBI ugp {garg n:Ing eped lgurt lnmuanl

9l'0

uFu. 'a < unu sgl = ru sgt.o = 91689r

won = 8o.o . t6z,o = (+) t#)

(unuryfl ele6-e,{eg pryHqO

EllEll

-]i t- e ii li :'='

6tz

Page 230: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

dsle dnprq uuqeq0,lZ.Sl,O lrrpues dele tureq

. delv

uegag uslryuauafil e.6i

zullQl 0.? qBppe leluel ugqeq

. zulNi 0.2 rlBI?pE dele rquet uegequuueqoqtuad ue:nlerad ln:nuaw

su/lQl 0000S I Bluslsuol ,8u1ppag, 'sques{e ueqeq Imun zullel 0SZ qeue1 urfr ue8ueflat IIBP sutuas ueqaq Inlun zurlN{ 002 quuet urfr ue8ueaa ,"aurp ir*O,l rya"irr rsgpuod 'uedep Surpurp uped selrJlQes Burpurp udrueq nryBued frrqlp pro4urur 0, utolo{ uep {olBq

.urur 0z pluel eped uolaq dninued

3upa1 ue?unl8uq rrrBIBCBdh[ 00? = T ,[rq nuryBdhl sz =,, ! uoleQ nlnhl

unun elep-eleo 1.6

98r'0I rBqurB9

,tu/N{ 9'Z = lz.sl'o.ct,ozulNl 0'? =zullQl l'V =

zullQI S'0 =zulNl 9'E = lZ'gI'O

zul}$l 0'Z =zull.Pl 9'E =

Irrpues {olBq lBreq. dnpg uuqaq

IBlol lBreg

dntnuad uesrdul

Irrpues PluH lBreqtolEur;

yr,fu'twea uotq uEeu@ua*d rwep-r*eo

ozz

Page 231: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

6'elzl'?ggsslB @l8Bq rsBpud

I Plturlsele uBrEBeq 1 teltup

7 telEunssle uelEeq g mlEun

g rultunssle uer8ee E tq8un

p te18unae uertuq t tqEun

Iogua uep >iopq q0't ' 09'g ' 0'g ' 6'0 lsluBl .Il'? ' }g'E' 0'g ' 6'0 IsluBI (I

E tu:18unsele uer8eq g tu:1tun

0'9 ' 09't '0'g (ruolol lnsutural){oquel o

s'z' o't,' 6'0 {opq oa'z' og'E' 0.8 . 6.0 Islusl .Ig'€ ' og'E ' 0'g ' 6'0 puel 6

:dslV

6'gE0's[I6'g€I.9EI

S.III9'Z9g

S.IIIl'lw

6'g€Z, L6

6'gE€'8S

S.tII9,628

S.H II.8IZ

T6'68

9'90I

6'gE

l'6r

l'61

g'w

8'g

0's€

ftr[t1 uelep) 1Qg1 urelup) Ardal uo1o1 uped ueqag

E,OL9

r€0rg'gg?

r €or6,298

Z,LLL

CI EIs'gw

fiEI8'€ts

L,TEII,ZgE

dIEIl'092

W€'90t

[.8I I

L.€OIZ,6SZ

csors'sst

sae uefeq lsupuod

I tultunsele uere8eq 1 tulEun

g rqtunsele uul8eq g teltun

g ru13unssle uelEeq g rc1tun

g re18unsele uerEeq g telEun

I.uolol usp {olBq qo't ' o9't ' o'9 ' z't Ptuul -1

I't ' o9'E ' o'9 ' z'I PIUBI cg PlEun

ssle wlEeq g rqEun

?z . 0s,2. sf,.o . sE.o ulolo{ os'i' a'g' z'I rotgq (I

0'Z ' W'E' 0.9.. Z.[ lBtuBI .I9'E ' 09'€ ' o'9 ' z'[ ,"IUBI o

:detV

L,EOI

8.IE

I,L0'8I

g'€68'IS

JZZ

0q uepp) -t0,U urefup) q

(unuq) ela0-a{ry Frrcruq2l

{eEuq ruolol BpBd ugqeg

esseta ueaunuwed g-6

Page 232: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

L?,0=ffi=,C,ru/N{ l,il = 0., . 09.8 IuluBI IrBp

_I

,tu/l.rpl E'Ll = qm-= Ioleq lrep q,ru/N{ g.il = I.,

. 09.9 luluq FBp q

-lg'l+Qe\_P,1QZ\ U

)tolBg

ueDlulill uillry uaual4l 9.6

(^^,/%e) zu'/Nr 002 > zulrer 66r = W = oo

zu 0l,Z x O|Z rlllldlp tuef rsepuod uBrrullllQl gtg = 'I + Q Islot uBqag

Idat uolox

zulNI 0OZ > zulN1 .Z6t =99'9.'-:9'Z - ro-8tEI- = e

zu S9,Z x 59,7, rlllld1p tuef rsupuod uem{nlA! 8r€t = .I + C Islol ueqeg

qu8ual uoloy(taod) ,edqq Fepuod ue6ueguyya4 y.6

f 9Se6'S00I

0'69t6'gEg

0'69I6'Lgg

0'69t6,628

9'Z0l

€'8S

sslg uerEeq rsepuod

sere uumE,- I []3;l7 tq8url ' sste uerEuq g tqEurl

g ru18un. ssle uerEeq g tu>l8un

p rq8unselu uer8uq , tqEun

turpurp qo'' ' o8'I ' 0'6 IsluBI'II'' ' o8'I ' 0'6 ln,uel q

sae uefuq g le1tun

lZ' SZ' 0' Sg' Z. O, g Eurpurp qo' 7" o8'I ' 0'6 IsluPI'I

9'E' 08'I ' 0'6 IsluBI (I:delV

rI

I g'w9'16Z

g'w8'927,

g'w0'z9l

0'69t6'g6l

8'Wz'L6

9'ZAl

l'gg6'09I

g'w

I,ZE

l'7,8

Q.ff uefep) f(.ff tuepp)q

Aryweg .qeg uewdaarod $sep{Ese7

ssllllqsls tulpulp upud uuqag

Page 233: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

zullQl SI8€ = c-0I 'o0I ' Sl,9'0 ' 0S9S ='lA = rlg

eOI ' 51.9'0 = OoE ' 008 "f = 'I

(gt'O r?gureg lgur?) edhl 0g9S = ,g

89.0=W=rC1pI 6'g€ :teltup rad reruq 1lsl S'III :re)tEulr rad IsluE[ o

19'l+Q7,',1 D.

-7il- = I

zruru 00€ x 00g tuedtueued.rae fda iroloy

zulQl w6L = c{I ' 60I ' SZ',l . 0g€g = ,rfa = rlg

rw cOI . gz,l = CISE . gSE ...1

= ,l?dH[ 0sE9 =

rg uuryedupp Bdht sz = ", /1uun q,Ireq EI'6 r'qur,g eped lgerE lrunuehl

. 6r'o=w='cfet l'tgt :te18up rad'rquet 'I

. lQt L'lEl:le{Eup rad rauel o'lg'I+QZ'l _P,1

qz\ u

zruru gSE x gSE tuedureuadraq'qeEua ruolox 'u1nd dele {opq wqe:1a{ IBIIu reEeqas *f"rrilp 1uI usrupre{ IBIIN

zutQl sl,06l = cOI ' g6's = oQs . o0€ .

6s[.0 = q/

6SI.0 ='c rz.l {gBrc uBp IewI qng lrunueI^l

00s tt=oFr=7i

urlll 00sI = g lurur 00€ = 'q luur 00g = 7 lurur osl = ,{

'I-IolEg 6L'01 rBqtuB9

s=ffi= ?,r'o

uttu00SI=0009.1=lt:tlBIBpB 0I'I'g [EsBd 991166I-5II INSXS ueEuap runses JpleJe ruqe.I

Bdr^r wz.'=,g'opudepp,Jl g l3:T$,ffi,ffiT'"Ilffiltr*tffigl#o.^

ezz(unuil elfi-aleg Frr(Mstcl

Page 234: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'uellnlueuetu 6ue{ uouJout rrep ueqsq-Feulquo) OeO} ,Bqueg

,ur/hpr t'tt = ;;., = 1,14

,ur/Apl E'Ll = g,Z + Ol,, .09.g =

o,nr

. PIuBI {olBg

,ur/I\pl z.l = 0,7 . Og,E = 1,A

,ul/hpl S'SI = g'Z + 09.t . 09.8 = oar

dele loleEuegag-lseulguol uep uegag uafituauafil 2.6tl

gere uped lsepuod Euefued qBIBpB 1 uetuap

UIN{ 00SS0Z = 0000S . $9,2 ..S = .?

:n{Elreq ldar ueFeq rsupuod ?pydurN{ 00SS0Z = 0000S .

$9,2..f = j:DlBIraq qeEuq uel8eq rsepuod BpBd

l'I = 1.rt.m = E6nfr = C seEadquqsuoy

= g udruaq lsepuod lrup rnpns ,U:lttI

l'/A T

T=F=g IIBIBpB uepdr.ueutad resaq e:furu eu/Nl rrrBIBp ? Btuulsur, .Eurppag ue8ueq'A =

t'n - o {edelq Isupuod qu,$?q Ip rcdq rlgusl uetuetq r,seg

Fepuod ilep se6ad eruequol uofituauon g.6i

g't +%tz't

lg'L + oa z't

g'l * o, dt ='r.g'l+o,ntL=i

duerwq wtq ueww.ned resep+Eseota

Page 235: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

J?qurB9 spud ua[fesrp e8nf lseurquo{ qrunles {ntun ug{quauau Euu,{ ,"*"-913; 'tu>lEup qrunles {ntun ueluun8rp tury Eue,(Euslueq tuntul$Iutu uatuotu u?)Flueueu {nlun ueurx8unute{ uequtetu Bnpe{ rsuurquox

'02'p1. rBquBC epud uuryfesrp usqoq_rseulquoX'Bnpe{ pluq uped Frx Euutueg Intun ugp utuzuad rsluul eped uBuBI suauaq lnrunuuqunceEued ueEuap Euelueq qrunles eped Iar

9.I uep Euelueq q-n[.r uped h,n z,l ,.2

tuetuaq qtunles eped In 9:I + on Z,l .I

:rcteqas ue{Bu?cueJlp ueqaq-rseurquo{ reteqag

l\PI t'[ : lB{EuF den qetuel uloloxlrlli 8'r9 : le>lEup den gdat uoloy

Iopq uaurolt

urolox uanoFa

I lssu$lrox

(unryfl a{e6-eleg pnWtgCl

9A

zl9l

oz

0€

80

8€

LC

zzet

tt

98

9Z zt

6

8l

l

98,ot

0

0

88LC

0

o

LEL8

et

I

tz

8€

LC

80

680

0

6e

LC0

0

L8

LC0

o

LC

8e0

0

80

88

LE

0

0

8e80

9ZZ

z Feur$lloy

Page 236: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

.uBndunl uBp rBlnu utw W = p \erul ?pBd uEreq nl,ns rcdues lqnperlp qaloq tun,u[ eAeE '7'1'I I IBSBd €]r66l-sr INs)s rrunuelAl

(nlndwoc ltsotil l\pl gtl - 'rrtut t^ ,np.tp1 0ZI =

'* r^tuelull efet ue8uqJqred

zrurrr gszl = oz o0

I 't lrpu rupBuetu 3ue,( BIBhIetulu S9ZI = lW . 00E . 5600.0 = 'y

s600.0 = d tz.s IeqBI uBp 4up.r0 nlng lrunuen

.u/Nf gsLl, = ,**;ot': = -#-w

UIN{ E9l = aW

21ru ?08 = % aO

t qBIBps r?petuau tueI e>IB1I

oloo'o = d'#r3i3i=,Krf3'";:lT;0";,I

eulNr sz1=ff' =#hl

ruN{ 96 = hy[

zuu SI9 = Zl aO

Z + gt o0 Z.t lvpu rgpguetu tuer s{BhI

zlutll €6? = ?W . 008 . 1800.0 = 'y[t00.0 = d tz.s IaqBI uBp IU?.rg n)Ing lunuahl

zulNl E€t I = zW''\ -' OE'O -

zPQL9 ^i

"'.h+rrui6

urN{ L9 = ,lIt$trt W? = 9S - 009 = p

uru gs - IsloltuUI 8 =tutu 8 =urut 0, _ , uoloq dnlnua4

uru 00S = ,/ tglol rflBur;zrrrut 0OS x 009 loleq tuedureua4

'ue1nluouau 6uBA ueurout BuroIS lZ.Ot ,Bgueg

;,nnq g'g? = l,ll .9.[ + E,Ll . Z,I = orn

uutuap luBqaqlp )tolBg'lZ'Ol r"qurug urBIBp uqEueqp tu 9 tueluaq uuEuep {opq {nlun wp 0z'0I rgqurpc lrun redeprp ,ri1n1uru.tu tuer uiuro61

lopg ueauept uenunutilad 9.6

duepyeg uoteg ueeuex@ed $sepl*ae7gCZ

Page 237: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

rus8.r=ffi=ffi=ln{peq Brrfs uulteduprp tueltues ualnlreureu tue,( ( >pre1

'(qt teqsD BdIALs'o ='n 0 uutuap osl - g t u.tuunErp tuer auuliuagBdhl 9r.0 = 0S.0 .

96.0 = "n 0 _ nd =

r,t 6

'uaqeun8rp sruBq rasaE ueEuelnl nll Buar?I :",r { < nt

Npl 9'99 = "A 0BdI{ 0S'0 = "n 0

Edht 96'9 =4988 = + = n,r

q uundunl

OOZ - g q{ SuDISuas 9 uapun8rq

tu zz\ = = ,=

=8

to: n4t

'= sdfid=6=a=;lDIIreq Br??es ueryedeprp tuelEuas us)lnlratuaru tuer ,( >pna1

'(gt taqeD udhl 0r'0 ='n 0 ueEuap 002 - g od ue{BunEp Eue{ tuoliuaguru ZZZ = + = 9 - *, ,{nppe tuul8ues let,rs{Bru {er,f twPBdh[ SZ.0 = 0S.0 - Sl.0 = "n 0 -

na =

ra Q

'ueleun8rp srueq raseS uetuulnl nl! BueJB{ :'rr f, < orr

lsi 9'99 = N sOI' 9'gg = ifv' 0O€' 0g'0 = pe ."n 0 ='A 0 'Bdh[ 0s'0 = "a @ uulrdepp sI leqBr lrunueu E)lBru 'BdI/,I iz =',i *ire untll rylun

Bdr^rsr,o=ffii =+= n,,

'0SI - g s@ Eue{8uas ZI uu>punErq

y uundurnl

'Oue1ur; eAeO ue.r6p1g ZZ'01 requreg

N)t 00t

ZZ'01reqursg uped uuryfusrp tuqug efut urerEurqNt 8ZI = 8'8, ' W?'O - 0'8?I = h

g uendurql

N[ 00I = 8'gt ' ttl'O - 0'0ZI = h y uendruna

LZZ(unun) db&eieg FrcANCt

Page 238: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

?01'0 = 9gI'0 ,gL,O = (+)

ov o)

--)

sg'0

9€I.O - 009'0'_ tt- It00 ,a

nrd

ILS =

' sg'oord

(o's)8'o=#= rA=

t_ |

l.sr8€zl

zutQl iLA6I ='Ig irurlpl SISE =

r_? )IEJ .

= ,a=

[-'B=-n=

ta

'Ig

YA\

resaqtuad JoDIBJ uu{nlual'u,*rz,'e=.,ur rz=008't00'0*sI =

woe < .,, Ir0.0 = ?f = ,b = o?

nlss-epro uuEunlrqrad lrunuau unurs)tuur sullsu1ua$le Jgseg

qeloradp re.o *,rn*s)slf;tiJr;3;[r? ffi ;rffi;{UII\pl 6t =

zn

leduprp *z.otr'qu,c BpBd ueuou ,*H# rtffi#'Z wp I tultun Breluu Ip urotol rIBIepB ue{queuetu Eue,( Idel urolox

utolol ue6ue1nl ue6ury1qte4 6.5i

gL,O _ sz . sg.o . 008 - 00€ . sg.or=

zrrrur 6OE x gOE ruoJo{ tuedureuad lrre8uelnl uelnlueJ

'runuedrel selu Jp lurefs lu,req !Z- - f 6t )' - - t = (E )7't - rE

('nt\ rlT)z't-nr' T BIIq uB{r{ntnglp )tepp snpapro uutuqrqrad

s,no _ 60'0 t uc-m=Errr 60.0 = uru 06 = 00g . g.0 = tl 8,0 = t ur sg.I = os.z .

lL,o = oH

,oi,i = nl

lL,o = I :?t 6 rBqr.usC upea 1gru.i6 r-tunu"yn1

oe ='?

ovO

duanyq tnleg taeu@ueredt Esep-rEseo8ZZ

Page 239: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

.tLo,o = ,[o.o . o.r = (#) [

tLo,o = ffi+sz'sg'o'osE'osg'sg'0

=

',.f ' sg'oo ov o)

-l

,a)

zunu gSE x gSE ruolo{ Euudureuad

luur 71E - '?

s8'o ' ov 0n,d

luuEuelnl uu>lnlual

q

e

,r{o'I =

( sz\la )Z,t-rq

'uolqntnq1p {Bpp Bnp-epro uu8unlrqra4

=(+)zt-n.-> z'st= #' = +

Z,8Z =

tu 0I'0 = 098,0 . €.0 = ? E.0 = tut zE'l = 09,2. Ig,0 ='t1 ias,z = "l

Ig'0 = )t :?l.6 reqr.uBg lrpp )tuBrE lrunuahl

( o's ) f'r')- tst06t'Zl Iqral' €g'0 = = \'-l = sA

( 0'€ ) ( 1) "'\wz) lUJ.

(uuwad pluel eped) 9fr

Eo.o=ffi_# ,a

t.*rJ [,,](sutad uerldaf eped) Yh

resaqued JoUq uu{$uel

uI 920'0 = uIIr 9Z =0S€ . €0.0 + SI = w oa

rusroo=g =+=o?nlgs-apJo ueEunllqrad lrunuaur unurrs{Bur ssllsque$le Jgseg

n*r o6e r ;,::,fi 3;H Li':*{*;f,

uINt{ SZ = zlq

tu|rpl ZI = tnpdepp 02.0t reqtuug BpBd ueuoru urelEup lrunuary

JBsBp luluq upud uolo{ rIBIBpu uaplueueur tuef qutu4 ruoloy{rn$ zs? = zt

a0 ? qBIspB r?peuetu tuef slrBrt

ztrltu 09€ = 00€ ' 0O€ ' ,00.0 ='V 1100.0 = d0.I = c :ralt sz = ",./ryrun 1796.9 = r

(rsrs unuas 1p uutuqnued) t7:g IeqBI uep {gBrC rulng

0Z'O = €8I'0 = T,€ss= + dettuutuaru uutueq

,P

(unuq) a{e6-eleg pxprq7 6ZZ

Page 240: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'lz'o/,. uPp gz.0l ,Bquec

8Z'01 rBquB9

e'c3s4. =Jloool

s.ov W --+*;;;4L#

oz| z -H

l .c3s

-+_Jlooe I

sr o z-ffi -J-.= *"::,wrls

dunqueiuaut 6uei utotol uepuuleuecuaqp 6uei leruq lopg ueauelnuad Egueg il.6

,-,- gg71 = OZ ao

I qBl?ps repBtuetu Eue[ B{Bhl.wut SZZI = 0S€.0S€.0I0.0 = "y i0I0.0 = d

0'I = C :ralt gZ =',./ {qun i0I0.0 = t(1srs unures rp uu8uepued) q.g lqej. uup {gurC rupg IrBq

LS|o=0.9j =L ss ,P

duEnueg uopg ueeuwueJad Jesekt*seo082

Page 241: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

gz'0t ,BquB9

r l-]

EXsfFt-L--L---t+-+- + ' 0z6

zulN)l Lgz = "* uq*lp Isepuod {nlullzulltet 6gZ = ? - E9Z =

o*oo

zulpl Lg7, = n+8g7, = '59'?":9'?"? +Sg'].'-:-rg'Z = o.-oo

rI?lBpB "o*y[ urp "a leqplg rpuf:a1 tue^ q?usl ueEue8al'gnuedral unl$uel1p tuer( terefg

Nl sigl = "a < urt g60z =,A 0 r{Blup? *lnruru.tu tuea

l{)l W = N€ot'8602 = OLS' 089€ -SZl" i.r.O = \O

no,lsIffi=NeOI W=0ts'089€'szf ? (f,+r).e.0= "AO

(SZ'O1 rBquBC ruUD urtu 0g9t = (0lS + OSg)t _ .q ,rfr* 0.I =

,6| ufulnfuulag

s.,",n ueEuelnl u,p ruur 0r uoreq an,nuralHgt;,f,fff;H;lT.[ffir9J;;#lsl SrgI = E'0[S'9'I + Z,LLL. T,,l = 'I9.I + eZ,l'="A

luduprp r{eEuq uolo)t BpEd

:pdu1q rsupuod JIqaJa pqel : p'ruolol

rsrs depeqral $w*f

uped :ptauel deatuerp qeloq tuudtueued z.t.ll.?.g I?sEdlrunuetu eSSuges 'lasaE uu8ueEel rcdupral Euef Euudtueued (repurpad) Euqgal qBIBpB :

oq

lapuadtal tuolo{ Isls uup EuefuBdrq ruolor ISrs erclug *E;d;qfu , "jriutuap

(get's)p"(t 'illt f , p'q 'iJ. + [+ * ,) = '^

{quaq tuBIBp l.Z.ll.t E IBs"dE}I66I-9II INSXS 1rrap uu:tu_nrp "a'A 0>"A p5:p,( l'l'?'E'ry*u ElI66I-sIr INSxs uunluerer ,.Inuel,eru pdep

re8u'egryuapes q111drp u,rp lsepuod rrqrr:t:i q;qq"s-rpna *r[reqrp Is,puod tueduuua4ledepl ysepuod ue6unyqta4 tt.6

lez(uufl e,{efi-a,{eg prcpr4gg

Page 242: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

p{Pe^ rqor u'qeq $w obouuseqas r"ruosrlorr u'qaq

lTurl *r{li;ffi$t;Ll!ffi,[ LZ.gl ruqureg eped.uelrfesrp turpup lrr.p ,*.r1gdu|puyp seu?ge$ ue6unlyqta4 et.6

'r{uru unp epud su - gt oO ueEuqnl r{BIBp? prydlp toel Iu/zurlu OLtl = 0Z?. 0O0l . SgO0.0 = ;;Sg00'0 = *d

0t00'0 = d cZ'S IeqBI uep {gurg qng lrunuel4l

zult..I:I 816 = ,OZV'-O--' O't'

= #urN{Z9l =z0I,[.gg1.+ = rfn.t=,n

r{BIBpB _rrolnluauau tue( uetuol4[

zultQI ggz =.ar gquelp lsepuod ,1nruj

zull$l 8lZ = 0I - 8SZ = *'ozu/I.pl g9Z = 0I + gSZ = zll'c'ol'z'+ , ofz.g!1 qrur.il^

rrB rnpn,ir )v;rm,, rm ;;r;n.

.gnuadral uB{uuelrp tuef terefg/ < N{ 0IZI =

.A 0 qel/pe us{nluaueur a*i

'Arcl = }Zn'OggZ,.SC,lr.f .9.0= hO\zn' ogSz . gzl" .

? . <z + I) . g.0 ='A ounu 0ggz = (oz? + 00€) ? ="q

tuedueuad'rel lciq .,orox 'uru ots - p ,,[Bur * 00s: *{ Irpuod *0", ffi"Tt#,rj o*r 6ilr = 6'Erz 'g'I + r'wg'z,i = -Ig.I + oz.r = 11-:rcdeprp lda isepuod upe;

6200'0 = ZZOO'0.+ = r.Ed

ZZ00'0 = d Z.S IeqBI uBp {gerC qng lrunuen

'efudrulnces u,p'o{3ueqp ur(u3unfn uep tuufued.radrp sru,rr uutuulnt qunles s{Bru redecrq rdup pI ueEunqnq reiv rIBq anlnc {I*} uaery uped u'{,t rnsnq uurul8uefued qtq u5:18unu e'(u?Il u'pl$rep su*s ,Frx .gi.oi *-qyr-q epud pedas .?ru's efJa{eg tqps Euer u,,lq msnq ;p i-y usl,,Il l,srq* ulnd deEsu,Ip leiep ueEuelnue4 'rIB.rE Bnp Wed O?,1 _ % aO ueEuepl TIBIB,B r-,,I,dlp Errr^

-rrer uele1! u,p u,xal rnsng 9z-or ,rorr9 trr/zurlu t::: =-C,LS' 000I ' 6z-w'o =;;

NI 6€II =lQIOIZI=NcOI

nels fpl ,IgI = tf r0I . ,IgI =

ztu / NI 0U[ = z0lS'0 ' 0'IT=

eWl,n

ul}sl ,€Z = zSZel'LgZ,.+ = ,l"u.l = "nrlstsps (sz.ot r?quBc lBrllD u uup I *luoloa eped F"pud **o;ry:,rq*qrp rasat

ueEueEat dupeqrar ueruoru qr*auj ffi;Erauerwq uopg ueeuauaDd fiseH*secl

zez

Page 243: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

(r r-e'e)

# *.+ ='o NdTIBIBpB uolae Eurpurp epud uutuuteg

tu SE'6 LLLI nJ o=tiEr=%= ?

}sl LLLI = t' ggl ' 9'I + 6'S00I ' Z'l =ndr{slupe turpup upud IBIr1ral plol ueqeq resag

ru|.pl ?Tggl =?gZ (O'E + 0'9 + 0'6 + O.'ZI + 0'SI) + erc,. g.gt ='N IrBI?pB I.aPJO UaUIOIu JESaB

|At ?gZ ='n/n uuEuap rudues rr11

u>leur sslB !p rSopue ue8uap rensas

t.DI EIZ = lb'ZE' g'[ + 6'09I ' z',l) +bla '9'I + 9'90I 'z'l) s's + (g'Is'9'I.+ l'glt'z'l) s'rJ I.0 =,'/Ll

reEeqas qaloradrp pluosFoq ueqaqrul Irep B)lBh[ 'ufuln4raq mltun upud psndrat det8uBrp ruolo{ uep turpulp prag

turpurp u?qeq ltBI 0.I. ldal tuotol u?qeq IIB)I S.S

qu8uq ruolotr wqaq lFI S.,J?seqos Sulpurp uped ueqeq pduprp 'lulSun denas ?ped

'6u1pu;p lrBp sursls L7,OJ rBqurBg

lc *l = ,rs

I s'z I

t%l uu8uap ue>1dura11p ludup turpurp uurup{a{ uulnlueuaur {$un)tgsl uetuetq tuduprq {Bpp turpurp BpBd

zw/N I'II + gI.I =20009'osz'?_Qq)9'O9Z@+m=

I 00(x)

Bez(unun) e,b&e,{eg pxruq7

Page 244: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

'.tu / zruru E}L = # Isls red Suusudrp Euei( uu8uulnuad .Burpurp qe3ueluut8eq BPBd 'zunu Znrc = tLSl ' Z = 002 - OT,gO Z qslupu gnur-". Buur( ue8uelng

zw ELSZ = 00SZ?,' + = *v, = ryzu,* ,szrr = 0009'osz 'sroo.l';

=;,rr:ffi::szr'o = Ls'r'sr0'0 = (#) '

["'r'ss;.q'"v o)

s[o.o = oz ' s8'o

-wP .'. -osz ' ,t'o = ,0t ' LLL|

Lg'r=uffi= +",./ ' sg'o ' 'v 0

F VL'| =SI'0'l'O -0g'0= O

'tu 1 rnfet tuBIBp elBr Euesudrp ludep Eurpurp rsrs tunfn uped ue3uulnua4

'sI'0 = $ urawaeprpB{Bhl

't?qel usp {gBrC n{ng eped uelresuplp ueEuulnl us{nlueuau {nlun nl, BuarBx ')tg4 ueEuBSq ledupr4 {Bpp tupulp uped e,trgeq Iul unleqes unlnluelp qstar

ur 6I.0I = 5€.6 - 60.[ =

ra

6oll=g =l-' 8'I[ u

g'I-r - 0€€9I - 00616I=:-=tt

'1"4 ueEunrg teqg) 0E€9I = 1tgZ x S + O€,t7, = - nd reseqes

Iqlua^ Islol usqeq uuSuap uuunEueq guEuetas ssllllqBls uBqeuaru u?{B sulpulq

|pr00616r= ffi='rr.,

'Ia ru o

rar Eupurp drEEHg;er:"19;i:; z ='t

zulsl' s}l . z,sz = c_OI

gg'I=rru (s'z J \ .,0I ' g'l ' ctr/SEZ )

89'0 =

,w .r0I

zuru / N

duefuq uopg ueeuwuend EseprEaBO

l'998'g'r+6's00Iz'l 1g'I + o.Z'l6'S00I ' z'I'= of .+= eqq.+

= ilf . wLi

' S'l = s0009 . OSZ

00s€z= gf .WLt

oc.

,I

"g

Page 245: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

1"1

'6urputg ue6ue;nue6 [BlaO gZ.0] rBquBC

zunu sug = 000I ' 0s7,. s200.0 < .ru/zruur g6g = * ^veol ' €Eo[ =

n* ^v 0?,61 ' g'al.I)f Et0I = 00g - EEgl = "A0 - nA

= "d'A o^v 0z6r ' g'o ='A 0' 000r (,turad)\ OZOy = .--

008r ' 00, rylDIIraq r?8eqas tudeprp E{?ru .ruru

000I - zs ue8uaq

zs,

m=^p8uqas unldela1p qaloq'/ ,lntunlQl€€9I =lgz 'S+ EIZ="A

|{:[ 009 = 000I ' g'O ='A O

lQ[ 000I = N r0I' 000t = 008?' 0SZ' SZA' ? = ^ tutu 0SZ = t/ u?p utul 0009 = ^l

^, 8'0 -- p rlrafluap '(S-0I'r'€ tBsud) m . ',!lt . + = T

r.uteqas us{dslarp gelog i ryrun

'A0 +'A0 ='a 0 ueauap ort

0 >'An{ulraq 0I.r.€ tEs?d g(1166I-SII INSXS lrunual^l

'reset ueEuelnt uetunllqra4'zrrrru s00I = oo7, - il

qo quppB lqnueueu tuuf *tqru

=A

(rc-r'e)

Q-rg uep I-?'€)

gez(unun) e,{e&e,{eg pnqgq7

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Page 255: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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6'll requreg

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Page 271: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

v

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Page 272: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

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Page 273: Gideion Jilid 1 Dasar Perencanaan Beton Bertulang_2

Qt't I requ?C reqll)tutu SLS == urofJBqal

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ruru otl - stuelSuas qenq S

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zt'll reguB9

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