bab 8 pondasi done
TRANSCRIPT
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PONDASI NRP: 2141208921412133
21411136
PERHITUNGAN
BAB VIII
PONDASI
8.1. Perencanaan Tulangan Bal! Sl"
Bal! Sl"
b= 20 mm !"# = 3 M$a % = 342 mm
&= 400 mm !'= 400 M$a T(lan)an *16
Ha+,l Anal,+a -TABS Bal/ B
Mma = 34.0143 Nm
( ma = 0.2949 N
Penulangan Len#ur Sl"
A+ m,n =√ fc'
4 fy b5 % = 316.140 mm
A+ m,n = 1,4fy b5 % = 299.2 mm
A+ ma = 07 ρbal $ b5 %
= 07 0,85 f c
' β
fy
600
600+ fy 20 342
= 2289.262 mm
= T
0.8 !"# a b = A+ !'
0.8 3 a 20 = A+ 400
a = 0.0381 A+
Mn = T % 0. a
Mu
0,9 = A+ !' % 0. a
A+2 0. 0.0381 A+ !' 342 ; Mu
0,9 = 0
A+1= 26.28 mm2 < A+2 = 08694.908 mm2
0
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21411136
PERHITUNGAN
A+ A+ m,n= 316.1402*16
Tulangan a#a% &an 'a(a) a!an &*+a%ang &engan ,D1-
Penulangan Ge%er Sl"
φ" = 0. 1>6 ? fc b5 % = 0. 1>6 3 20 342 >1000 = 63.2281 N
0.φ" ( φ" 7 maa m@n))(naan +@n)an) %@n)an aa m,n,m(m.
+m,n=3 Av fy
bw
=
πx102
x240
4
¿
3¿
¿
= 226.1946 mm
Caa +@n)an) D,%a b/l@& m@l@b,&, :
S m,n = %>2 aDa( 600
= 11 mm
S@n)an) 'an) %,)(naan a%ala& φ10 10 mm.
8.1.,. Ke%*+ulan Bal! Sl"
Ca%, D(lan)an bal/ +l//! 'an) D@$a+an) %, la$an)an a%ala& +@ba)a, b@,(D :
Gamba 8.1
1
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21411136
PERHITUNGAN
T,$@ Sl//!
Gamba 8.2. *@na& SD(D( Sl//!
8.,. Perencanaan Tulangan Pla# Ba%een#Per)*#ungan Be'an Pla# lan#a* &a%ar
1. B@ban MaD, E%
B@aD +@n%,, = 0.1F2400 = 360 )>m2
B@aD +$@+, 3 "m = 21 3 = 63)>m2
T/Dal = 360 ; 63 = 423 )>m2
2. B@ban H,%($ El
anDa, %a+a = 20 )>m2
B@ban UlD,maD@ E(
2
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21411136
PERHITUNGAN
E( = 1.2 E% ; 1.6 El
= 1.2 423 ; 1.6 20
= 90.6 )>m2 = 8.9036 N>m2
Cn#) +er)*#ungan +enulangan +a&a +ela# I
/nD/& $@&,D(n)an :
' : = 1.00
Ml = 0.001 ( l2
. 44 = 0.001 8.9036 62 44
= 9.6184 Nm
M( > b%2 = 9.6184 109 > 1000 123.2
= 292
= 0.0013 Tab@l UR I
A+ = b %
= 0.0013 1000 123.
= 188.9 mm2 >m
A+ m,n = 0.2J b &
= 0.2>100 1000 10
= 3 mm2 >m
*,)(naan A+ 3 mm2 >m
M@n))(naan T(lan)an ∅13
C(mla& D(lan)an 'an) %,b(D(&an = 3 > 0.2 22> 13 = 2.82
Caa anDa D(lan)an = 1000 > 2.82 = 33.93 M@n))(naan ∅1320
P@&,D(n)an $a%a $@laD 'an) la,n %a$aD %,l,&aD %, lam$,an.
PlaD = ∅1320
3
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21411136
PERHITUNGAN
Gamba 8.3 *@na& SD(D( $laD %a+a
8./. Perencanaan Fn&a%*
8./.1. Be'an 0ang &*guna!an +a&a +erencanaan Fn&a%*
B@ban D@!aD/ $a%a !/n%a+, %,D@nD(an b@%a+aan SNI 1262012 $a+al 4.2.2
P@&,D(n)an )a'a n/mal D@!aD/ N(:
N(1 = 1.4 N*
N(2 = 1.2 N* ; 1.6 N
N(3 = 1.2; 0.2 S*S N* ; R N ; 1.0 N-L ; 0.3 N-
N(4 = 1.2; 0.2 S*S N* ; R N 1.0 N-L ; 0.3 N-
N( = 1.2; 0.2 S*S N* ; R N ; 1.0 N- ; 0.3 N-L
N(6 = 1.2; 0.2 S*S N* ; R N 1.0 N- ; 0.3 N-L
4
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21411136
PERHITUNGAN
N( = 0.90.2 S*S N* ; 1.0 N-L ; 0.3 N-
N(8 = 0.90.2 S*S N* 1.0 N-L ; 0.3 N-
N(9 =0.90.2 S*S N* ; 1.0 N- ; 0.3 N-L
N(10 = 0.90.2 S*S N* 1.0 N- ; 0.3 N-L
P@&,D(n)an m/m@n D@!aD/ M(:
M* = M*2 ; M*3
M = M*2 ; M*3M-L = M*3
M- = M*2
M(1 = 1.4 M*
M(2 = 1.2 M* ; 1.6 M
M(3 = 1.2; 0.2 S*S M* ; RM ; 1.0 M-L ; 0.3 M-
M(4 = 1.2; 0.2 S*S M* ; R M 1.0 M-L ; 0.3 M-
M( = 1.2; 0.2 S*S M* ; RM ; 1.0 M- ; 0.3 M-L
M(6 = 1.2; 0.2 S*S M* ; R M 1.0 M- ; 0.3 M-L
M( = 0.90.2 S*S M* ; 1.0 M-L ; 0.3 M-
M(8 = 0.90.2 S*S M* 1.0 M-L ; 0.3 M-
M(9 =0.90.2 S*S M* ; 1.0 M- ; 0.3 M-L
M(10 = 0.90.2 S*S M* 1.0 M- ; 0.3 M-L
enen#u!an Ga0a Nral &an en ASD 'er&a%ar!an SNI 12,-3,41, 5.,./
Ga'a n/mal
N1 = N*
N2 = N* ; N
N3 = N* ; N ;0. 1.0 N-L ; 0.3 N-
N4 = 0.6 N* ; 0. 1.0 N-L 0.3 N-
Ga'a M/m@n
M1 = M*
M2 = M* ; M
M3 = M* ; M ;0.1.0 M-L ; 0.3 M-
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21411136
PERHITUNGAN
M4 = 0.6 M* ; 0. 1.0 M-L 0.3 M-
Ga'a H/,/nDal
H1 = H*
H2 = H* ; H
H3 = H* ; H ; 0.1.0 H-L ; 0.3 H-
H4 = 0.6 H* ; 0. 1.0 H-L 0.3 H-
8./.,. Be'an 0ang &*guna!an +a&a +erencanaan Fn&a%* T*ang Pancang +a&a 6*n 14
*,mana aDaaDa %a, E" %an n,la, m,n,mal CHP %,amb,l %a, @%alam &2% 7 &% 7 & 7 &;%
+@$@D, "/nD/& %,ba5a& ,n, :
Lca#*
n
De+#
)
7c !g9c,: ;HP !g9c:
S1 S, S/ S5*
nS1 S, S/ S5 *n
)3,& 18.1 200 200 012
0 10301300
110
1300
1030
)3& 18. 16 2210
110
110 1100130
1200
140
1100
) 19 200 22 230
120
120 1200 130
120
10
1200
)"m
S$@+,!,a+, T,an) Pan"an) :
T,an) Pan"an) %a, $@(+a&aan B@D/n P,ma b@((an 44 "m D'$@ B4 %@n)an :
K@%alaman = 19 m
Pall = 22.16 D/n
M" = 10.48 D/n m@D@
6
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21411136
PERHITUNGAN
M(lD = 1.3 D/n m@D@
Ab@a,n) = 4 4 = 202 "m2
K@l,l,n) = 4 4 = 180 "m
*a'a %((n) 1 D,an) b@%a+aan @(aDan b@D/n : Pall = 22.16 D/n
*a'a %((n) 1 D,an) b@%a+aan %a'a %((n) Dana& :
all = E" A b > 3 ; CHP K@ll > = 3
202100×
;
180.12 ×
= 1120 K) 112. D/n
Maa all 'an) m@n@nD(an %a, a$a+,Da+ Dana& 'a,D( 112. D/n
Ca%, (nD( m@n@nD(an (mla& D,an) $an"an) b@%a+aan a$a+,Da+ Dana& maa %,$aa,
(m(+ ,a,a. P %,amb,l %a, /mb,na+, )@m$a D@b@+a7 $a%a /,n 1:
C(mla& D,an) ,a,a = all Q
P ×.1
C(mla& D,an) ,a,a = 81.9.112
4.1848.1
x
×
= 2. b(a& 8 b(a&
* = 4 "m
Caa anDa D,an) 3*
3* = 3 4 = 13 "m = 1.3 m
*,amb,l 1.4 m
S@%an)an aa D,an) @ ((n)
1.* = 1. 4 = 0.6 "m = 0.6 m
*,amb,l 0. m
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21411136
PERHITUNGAN
P@&,D(n)an (nD( D,an) 'an) b@@l/m$/.
-!,+,@n+, %a, @l/m$/ D,an) %,ba5a& ,n, %,&,D(n) b@%a+aan (m(+ %a, /nQ@+,abba@.
=
s
d arctg
* = 4 "m
S = 140 "m
=
140
4arctg
= 1.82
nm
nmmn Eg
×
×−+×−×−=
11
901
θ
22
212212
90
82.11
×
×−+×−×−= Eg
802.0= Eg
Ca%, %a'a %((n) D,an) $@l( %,@%(+, %@n)an %,al,an !aD/ @!,+,@n+, D,an)
all = 112. D/n 0.802 = 90.4414 D/n
al( all %,@%(+, %an %,%a$aD (mla& D,an) +@ban'a 6 D,an)%,$a+an) 8 D,an).
*a, )amba D@+@b(D %,D@nD(an //%,naD ma+,n)ma+,n) D,an) %@n)an //%,naD D,D, n/l
a%ala& D,D, a+ /l/m
1 2 3 4
TOTALX -0.7 0.7 -0.7 0.7
Y -0.7 -0.7 0.7 0.7
X² 0.49 0.49 0.49 0.49 ƩX2 1.96
Y² 0.49 0.49 0.49 0.49 ƩY2 1.96
Pa%a D,D, 1 %@n)an /mb,na+, b@ban *;;0.-
8
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21411136
PERHITUNGAN
BS D,an) = A D,an) K@%alaman γ = 1000202
19 2.4 = 9.234 D/n
P = 1848.4>9.81 ; BS $/@
= 188.43 ; 2.4 0.6 2.8 2.8 = 199.23
M = 1.40 D/n m
M' = 4.68 D/n m
K//%,naD D,D, 2 :
L=0.m %an = 0.m
P ma $a%a 1 D,an) = BStiang
n
P +
∑
×2
X
X M
∑
×2
Y
Y M
=234.9
8
199.23 +
; 6.11
.0.401 ×
; 6.11
.04.68: −×
= 66.338 D/n 112. D/n OK
S@lan(Dn'a (nD( D,D,D,D, 'an) la,n m@n))(naan @"@l
Kombin
asi 1 2 3 4
D+L+0.
7E
!333
0
66!337
92
1!992
73
62!99
76
/n%a+, %a$aD %,$aa, a@na +@m(a )a'a 'an) D@a%, %,ba5a& )a'a ,,n.
9
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8/19/2019 BAB 8 Pondasi DONE
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21411136
PERHITUNGAN
*,mana :
n = (mla& D,an)
%an ' a%ala& //%,naD
T(lan)an l@nD( 'an) %,D,na(
B@%a+aan a+(m+, @$,D b@ba+
Gamba 8.2 ,%@al,+a+, aa&
S@l,m(D b@D/n = mm
P1D = $1;$4
= .3330 ; 1.9923
= 10.328 D/n = 102.866 N
P1D = $2;$4 Gamba 8.3 ,%@al,+a+, aa& '
= 66.3392 ; 62.996
= 129.332 D/n = 1268.8 N
P1D 'an) %,$aa, = 1268.8 N
P2D = $1;$2
= .3330;66.3392
= 121.61 D/n = 1193.92 N
80
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21411136
PERHITUNGAN
P2D =$3;$4
= 1.9923;62.996
= 114.99 D/n = 1128.0 N
P2D 'an) %,$aa, = 1193.92 N
Mma aa& = P1D 1.4 = 1268.8 1.4 = 16.292 Nm
Mma aa& ' = P2D 1.4 = 1193.92 1.4 = 161.0288 Nm
8././. Perencanaan P*le Ca+
Per)*#ungan P*le Ca+ +a&a !l P1
V. Ka+a%*#a% Per
@ )@+@ l@nD( 1 aa&
* T(lan)an: *22
Per !l
D@bal: 0.6 m b: 0. m
b: 2.8 m &: 0. m
&: 2.8 m
% = 600 22>2 = 14 mm
( = 1848.4 N %a, D,an) $1D %an $2D
" = 61 ?c f b % SNI 0328420027@E 46
= 07 6
1
3 2800 14
= 1064.302 KN
( V "
1848.4 N V 1064.302 N eerlu!an #ulangan ge%er
+ =Vc
Vu
−ϕ =.0>302.1064
.0
4.1848
−= 104.6 KN
81
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8/19/2019 BAB 8 Pondasi DONE
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PERHITUNGAN
Caa anDa D(lan)an b@%a+aan SNI 032482002 $a+al 13.6.:
131.18106.104
14F400F16FF2.0F4
3
2
=×
== π
s
yv
V
d f A s
mm $aa, 4 a,
S@n)an) 'an) %,)(naan a%ala& 4*1610.
@ )@+@ $/n+ a,baD /l/m @ $/@
% = 600 22>2 = 14 mm
/l/m = 1848.4 N
b/ = 2 W 00 ; 2 14>2;00;214>2
= 486 mm
X" = 00>00 = 1
Y = 40 ,nD@,/
φ" =φ W 4 W?c f W b/ W % 12
1× = 0. W 1448634 ××× 121× = 3691.61 KN
φ"=φ W (2+4
βc) (2+4
βc ) W 1>12 W √ f c ' W b/ W % = 899. KNφ"=φ W (α s ×dbo +2) W 1>12 W √ f c ' W b/ W % = .84 KN
( φ" 1848.4 3691.61 KN OK
@ )@+@ $/n+ a,baD $,l@ @ $/@
T,an) Pan"an) = 4 4 "m
2
% = 600 22>2 = 14 mm
b/ = 4 * D,an) ; %
= 4 40;14 = 386 mm
φ" =φ W 4 W?c f W b/ W % 12
1× =07 4 3 386 14 12
1
= 2931.394 KN
φ"=φ W (2+ 4 βc) (2+4
βc ) W 1>12 W √ f c ' W b/ W % = 864.4 KN
82
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PERHITUNGAN
φ"=φ W (α s ×d
bo+2) W 1>12 W √ f c ' W b/ W % = 33.208 KN
Amb,l φ" =2931.394 N
( = R(ma 1 D,an) $an"an)
= 462.14 KN
( Z "
462.14 KN Z 2931.394 KN OK
8.5. Penulangan Per
8.5.1 Penulangan len#ur ara) >
Mma aa& = 16.292 Nm
Paa, %,am@D@ D(lan)an *22
% =60022>2 =14 mm
2bxd
M u
=2
14.08.2
292.16
x = 2401.21 = 0.009 UR I 7$+ .1
A+ = b % UR I 7$+ .1
= 0.009 2800 14 = 11369.68 mm2 >2.8 m#= 4060.6 mm2>m#
T(l m,n,m(m $laD 0718J 1000 14 = 92.2 mm2
A+ V A+ m,n A+ $a+an) = 4060.6 mm2 *2290
A+ +(+(D = A+ $a+an) *1090
8.5., Penulangan len#ur ara) ?
Mma aa& ' = 161.0288 Nm
2bxd
M u
=2
14.08.2
0288.161
x = 228.914 = 0.006 UR I 7$+ .1
A+ = b % UR I 7$+ .1
= 0.006 2800 14 = 1093.92 mm2 >2.8 m#= 3906.4 mm2>m#
T(l m,n,m(m $laD 0718J 1000 14 = 92.2 mm2
A+ V A+ m,n A+ $a+an) = 3906.4 mm2 *2290
A+ +(+(D = A+ $a+an) *10100
83
-
8/19/2019 BAB 8 Pondasi DONE
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TUGAS STRUKTUR BETON Halaman:
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21411136
PERHITUNGAN
S@&,n))a $@n(lan)an $/@ m@n))(naan *2290 (nD( aa& %an *2290 (nD(
aa& '.
84