bab iii,perencanaan balok anak,lantai

8/18/2019 BAB III,Perencanaan Balok Anak,Lantai

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BAB IIIBAB III

PERENCANAAN BALOK ANAKPERENCANAAN BALOK ANAK

3.1 Balok Anak Atap

1500 4000 4000 4000 4000 1500

1750

1750

Data – data :

Pembebanan (lihat halaman 18):

- Beban mati pelat atap qD = 321 k!m2

- Beban hid"p pelat atap q# = 120 k!m2

Dimen$i bal%k anak atap 20 & 30 'm

ebal pelat atap = 10 'm

Diamete t"lanan = 13 mm

Diamete $enkan = 8 mm

#i$tplank = 15!50

3.1.1 Pembebanan Balok Anak Atap

1) Beban *ati

- Beat $endii bal%k = 0+2 m & (0+3 – 0+1) m & 2400 k!m

3

= , k!m

- Beat beban tape$i"m = (1-3!4 (h!#)2). h . qD

= (1-3!4 (1+75!4)2).1+75.321

= 418+38 k!m

/D = 2(,418+38)

= 1028+75 k!m

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2) Beban id"p

/# = (1-3!4 (h!#)2). h . q# . 2

= (1-3!4 (1+75!4)2).1+75.120.2

= 35,+70 k!m

/" = 1+2 . /D 1+ . /#

= 1+2 . 1028+75 1+ . 35,+70

= 1810+02 k!m .

3.1.2 Tabel Moment Balok Anak Atap

28


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2,

TABLE: Element Fore! " Frame!

Frame #tat$on O%tp%tCa!e &2 M3

e&t m e&t -m

1 0 *B1 00.78 -1.346-13

1 0.4 *B1 1550.84 -430.32

1 0.8 *B1 2500., -1240.7

1 1.2 *B1 3450., -2431.04

2 0 *B1 -4514.7 -2431.04

2 0.5 *B1 -3327.0, -470.

2 1 *B1 -213,.52 8,.05

2 1.5 *B1 -,51.,4 18.,2

2 2 *B1 235.4 1847.,,

2 2.5 *B1 1423.21 1433.28

2 3 *B1 210.7, 424.782 3.5 *B1 37,8.3 -1177.51

2 4 *B1 4,85.,4 -3373.58

3 0 *B1 -4827.48 -3373.58

3 0.5 *B1 -33,.,1 -125.73

3 1 *B1 -2452.33 2.32

3 1.5 *B1 -124.75 11,5.

3 2 *B1 -77.18 1531.08

3 2.5 *B1 1110.4 1272.77

3 3 *B1 22,7.,7 420.8

3 3.5 *B1 3485.55 -1025.2

3 4 *B1 473.12 -304.87

4 0 *B1 -473.12 -304.87

4 0.5 *B1 -3485.55 -1025.2

4 1 *B1 -22,7.,7 420.8

4 1.5 *B1 -1110.4 1272.77

4 2 *B1 77.18 1531.08

4 2.5 *B1 124.75 11,5.

4 3 *B1 2452.33 2.32

4 3.5 *B1 33,.,1 -125.73

4 4 *B1 4827.48 -3373.58

5 0 *B1 -4,85.,4 -3373.58

5 0.5 *B1 -37,8.3 -1177.51

5 1 *B1 -210.7, 424.78

5 1.5 *B1 -1423.21 1433.28

5 2 *B1 -235.4 1847.,,


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5/32

Pada amba 3.3 dan amba 3.4 men"n"kan anali$i$ bal%k anak atap denan $%t9ae ;P 2000+


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3.1.3 Per'$t%n(an Pen%lan(an Balok Anak Atap

h = 300 mm

p = 40 mm

b = 200 mm

t = 100 mm

Data tekni$:

- Dimen$i bal%k = 20!30

- Pen"t"p bet%n = 40 mm

- "lanan tama = > 13 mm

- "lanan enkan = > 8 mm

-


7/32

Beda$akan CE-2002 t"lanan minim"m $t"kt" lent"+ dimana

beda$akan anali$i$ dipel"kan t"lanan taik + maka l"a$ ;$


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*" = 1847+,, km = 1847+,, & 104 mm

*n =0,8

Mu

=0+8

10&1847+,, 4 = 23+0,, & 10 mm

Cn =2d.b

Mn

=2

245+5.200

100,,+23 × = 1+,1 !mm

m =cf'.0,85

fy

=25.0+85

400 = 18+82

Fmin =fy

1,4

=400

1+4= 3+5 & 10-3

F$ =

−−

fy

m.Rn.211

m

1

=

−−

40018+821+,1..211

18+821

= 5+027 & 10-3


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Di Cen'anakan memakai t"lanan denan >13

n = 24

1 d

;$

π

=7+132

24-+83 = 1+8 2 b"ah

Ladi dipa$an 2D13 pada daeah lapanan. ;$t = 25+4 mm2

%nt%l apa$ita$:

a =b.cf'.0,85

As.fy

= 200.25.0+85

2-5+4-.400

= 24+,8 mm

>*"= 0+8 . ;$ . <

−

2

ad

= 0+8 . 25+4. 400

−

2

24+,85+452

= 1,+7, & 10 mm M *" (18+47,, & 10 mm) IOK J

e$"ai denan ketent"an di dalam CE 2002 pa$al ,. 1) aak be$ih antaa t"lanan $eaa dalam lapi$ 8 = 1 mm

• "lanan tama = 2 & > 13 = 2 mm

= 122 mm

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ehina aak t"lanan =1n

tulanganlebarbw

−−

K25 mm

=1

122200−K 25 mm

= 78 K 25 mm IOK J

Pen"lanan #ent" t"mp"an

*" = 3373+58 km = 3373+58 & 104 mm

*n =0,8

Mu

=0+8

10&3373+584

= 421+,7 & 104 mm

Cn =2d.b

Mn

=2

4

245+5.200

10 &421-+,7 = 3+4,8 !mm

m =cf'.0,85

fy

=25.0+85

400 = 18+82

Fmin =fy

1,4

=400

1+4= 3+5 & 10-3

F$ =

−−

fy

m.Rn.211

m

1

=

−−

400

18+82.3+4,8.211

18+82

1

= ,+14 & 10-3


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= 0+00,14 . 200 . 245+5

= 472 mm2

;$ min = bw.d4.fy

cf'

= 200.245+54.400

25

= 153+43 mm2

;$ K ;$min

Di Cen'anakan memakai t"lanan denan >13

n = 241 d

As

π

=7+132

472 = 3+55 4 b"ah

Ladi dipa$an 4D13 ;$t = 530+,3 mm2 pada daeah t"mp"an

%nt%l apa$ita$:

a =b.cf'.0,85

As.fy

=200.25.0+85

530+,3.400= 4,+,7 mm

>*"= 0+8 . ;$ . <

−

2

ad

= 0+8 . 530+,3. 400

−

2

4,+,75+452

= 37+45 & 10 mm M *" (33+7358 & 10 mm) IOK J

%nt%l Laak "lanan

• elim"t bet%n = 2 & 40 = 80 mm

• enkan = 2 & > 8 = 1 mm

• "lanan tama = 4 & > 13 = 52 mm

= 148 mm

ehina aak t"lanan = 1n

tulanganlebarbw

−

−

K25 mm

37


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=1-4

148200−K 25 mm

= 17+3 N 25 mm )TI*AK OK+

aena aak antaa t"lanan $eaa k"an dai $


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Per!,aratan:

Lika2

1 >A' N A" N >A' Dipakai "lanan e$e minim"m =

b

fyv..Av

Lika A" K >A' Dipel"kan "lanan e$e

Dipel"kan adanA' $ehina dipel"kan "lanan e$e

A$ = 25+55, k N cf'

1. b9 . d (81+83 k)

*aka di"nakan aak $enkan d!2 pada daeah #!4 + $ = 120 mm

Ladi dipakai $enkan > 8120 mm.

Pen"lanan e$e lapanan

A"2 = 2+107, k

A' = 40+,2 k

>A' = 30+, k

21 >A'= 15+345 k

aena+2

1>A' N A" N >A'+ maka dipakai t"lanan e$e minim"m+

Dipakai > 8 mm

=bw

fyv..Av

=

200

240.3.100+48 = 31.7 mm 250 mm

3,


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Ladi dipakai $enkan > 8 250 mm.

-ambar Pen%lan(an Balok Anak Atap

amba 3.5 Pen"lanan Deaah "mp"an

40


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amba 3. Pen"lanan Daeah #apanan

3.2 Balok Anak Lanta$ 2

1200 4000 4000 4000 4000 1200

1750

1750

Data – data :

Pembebanan (lihat halaman 17):

- Beban mati pelat lantai 2 qD = 437 k!m2

- Beban hid"p pelat lantai 2 q# = 250 k!m2

Dimen$i bal%k anak lantai 2 20 & 30 'm

ebal pelat lantai = 12 'm

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Diamete t"lanan = 13 mm

Diamete $enkan = 8 mm

3.2.1 Pembebanan Balok Anak Lanta$ 2

3) Beban *ati

- Beat $endii bal%k = 0+2 m & (0+3 – 0+12) m & 2400 k!m3

= 8+4 k!m

- Beat beban tape$i"m = (1-3!4 (h!#)2). h . qD

= (1-3!4 (1+75!4)2).1+75.437

= 54+, k!m

/D = 2(8+454+,)

= 1482+72k!m

4) Beban id"p

/# = (1-3!4 (h!#)2). h . q# . 2

= (1-3!4 (1+75!4)2).1+75.250.2

= 74,+38 k!m

/" = 1+2 . /D 1+ . /#

= 1+2 . 1422+78 1+ . 74,+38

= 2,0+34 k!m

3.1.2 Tabel Moment Balok Anak Lanta$ 2

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43

TABLE: Element Fore! " Frame!

Frame #tat$on O%tp%tCa!e &2 M3

e&t m e&t -m

1 0 *B1 8,.28 ,.0,56-14

1 0.4 *B1 2313.4 -41.,8

1 0.8 *B1 3731 -1850.,1

1 1.2 *B1 5148.3 -32.78

2 0 *B1 -735.27 -32.78

2 0.5 *B1 -4,3.57 -702.07

2 1 *B1 -31,1.87 133.7,

2 1.5 *B1 -1420.17 248,.8

2 2 *B1 351.54 275.,5

2 2.5 *B1 2123.24 2138.2

2 3 *B138,4.,4 33.72

2 3.5 *B1 5.4 -175.8

2 4 *B1 7438.34 -5032.,3

3 0 *B1 -7201.,5 -5032.,3

3 0.5 *B1 -5430.25 -1874.88

3 1 *B1 -358.54 3,7.32

3 1.5 *B1 -188.84 1783.7

3 2 *B1 -115.14 2284.1

3 2.5 *B1 15.5 18,8.81

3 3 *B1 3428.2 27.

3 3.5 *B1 51,,.,7 -152,.4

3 4 *B1 ,71.7 -4572.3

4 0 *B1 -,71.7 -4572.3

4 0.5 *B1 -51,,.,7 -152,.4

4 1 *B1 -3428.2 27.

4 1.5 *B1 -15.5 18,8.81

4 2 *B1 115.14 2284.1

4 2.5 *B1 188.84 1783.7

4 3 *B1 358.54 3,7.32

4 3.5 *B1 5430.25 -1874.88

4 4 *B1 7201.,5 -5032.,3

5 0 *B1 -7438.34 -5032.,3

5 0.5 *B1 -5.4 -175.8

5 1 *B1 -38,4.,4 33.72

5 1.5 *B1 -2123.24 2138.2

5 2 *B1 -351.54 275.,5


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amba 4.1 Bidan *

amba 4.2 Bidan D

44


19/32

Pada amba 4.3 dan amba 4.4 men"n"kan anali$i$ bal%k anak lantai 2 denan $%t9ae ;P 2000+


20/32

3.2.3 Per'$t%n(an Pen%lan(an Balok Anak Lanta$ 2

h = 300 mm

p = 40 mm

b = 200 mm

t = 120 mm

Data tekni$:

- Dimen$i bal%k = 20!30

- Pen"t"p bet%n = 40 mm

- "lanan tama = > 13 mm

- "lanan enkan = > 8 mm

-


21/32

Beda$akan CE-2002 t"lanan minim"m $t"kt" lent"+ dimana beda$akan

anali$i$ dipel"kan t"lanan taik + maka l"a$ ;$


22/32

=25.0+85

400 = 18+82

Fmin =fy

1,4

= 400

1+4

= 3+5 & 10-3

F$ =

−−

fy

m.Rn.211

m

1

=

−−

400

18+82.4+87.211

18+82

1

= 1+14 & 10-2

13

n = 241 d

As

π

=7+132

--1+8 = 4+,87 5 b"ah

Ladi dipa$an 5D13 ;$t = 3+5 mm2 pada daeah t"mp"an

%nt%l apa$ita$:

48


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a = b.'P.0+85

;$t.<

=200.25.0+85

--3+5.400= 2+44 mm

>*" = 0+8 . ;$ . < − 2a

d

= 0+8 . 3+5. 400

−

2

2+445+452

= 53+014 & 10 mm M *" (50+32,3& 10 mm) IOK J

%nt%l Laak "lanan

• elim"t bet%n = 2 & 40 = 80 mm

• enkan = 2 & > 8 = 1 mm

• "lanan tama = 5 & > 13 = 5 mm

= 11 mm


tulanganlebarbw

−−

K25 mm

=1-5

11200 −K 25 mm

= ,+75 N 25 mm )TI*AK OK+

aena aak antaa t"lanan $eaa k"an dai $


24/32

=25.0+85

400 = 18+82

Fmin =fy

1,4

= 400

1+4

= 3+5 & 10-3

F$ =

−−

fy

m.Rn.211

m

1

=

−−

400

18+822+75,..211

18+82

1

= 7+415 & 10-3

13

n = 24

1 d

;$

π

=7+132

34+077 = 2+74 3 b"ah

Ladi dipa$an 3D13 pada daeah lapanan. ;$t = 3,8+1, mm2

%nt%l apa$ita$:

a = b.cf'.0,85

As.fy

50


25/32

=200.25.0+85

03,8+1,-.40= 37+47 mm

>*" = 0+8 . ;$ . <

−

2

ad

= 0+8 . 3,8+1,. 400 − 237+475+452

= 28+8, & 10 mm M *" (27+5,& 10 mm) IOK J

e$"ai denan ketent"an di dalam CE 2002

pa$al ,. 1) aak be$ih antaa t"lanan $eaa dalam lapi$ 8 = 1 mm

• "lanan tama = 3 & > 13 = 3, mm

= 13, mm


tulanganlebarbw

−−

K25 mm

=1-3

13,200−K 25 mm

= 30+5 K 25 mm IOK J

Pen%lan(an (e!er.

Data tekni$:

- "lanan $enkan = >8

-


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A" = 7438+34 k = 74+3834 k

An =φ

Vu =

75+0

74+3834 = ,+8 k

A' = fc'6

1 b.d

= 25

1200.245.5

= 40,20 = 40+,2 k

>A' = 0+75 . 40+,2

= 30+,

2

1>A' = 15+345 k

A$ = An – A'

= 55+7 k

;? = 2 . O . π . 82

= 100+48 mm2

Per!,aratan:

Lika 2

1 >A' N A" N >A' Dipakai "lanan e$e minim"m = b

fyv..Av

Lika A" K >A' Dipel"kan "lanan e$e

Dipel"kan adanA' $ehina dipel"kan "lanan e$e

A$ = 55+7 k N cf'

1. b9 . d (81+83 k)

*aka di"nakan aak $enkan d!2 pada daeah #!4+ $ = 120 mm


52


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Pen"lanan e$e lapanan

A"2 = 38.,4,4 k

An = 51.,3 k

A' = 40+,2 k

>A' = 30+, k

2

1>A' = 15+345 k

A$ = 11.01 k

aena A" K >A' $ehina dipel"kan "lanan e$e

A$ = 11.01 k N cf'

1. b9 . d (81+83 k)

*aka di"nakan aak $enkan d!2 pada daeah #!2+ $ = 120 mm


-ambar Pen%lan(an Balok Anak Lanta$ 2

53


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amba 3.5. Pen"lanan Deaah "mp"an

amba 3.. Pen"lanan Daeah #apanan

54


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%% %% $ * mm

3.0 Tabel Pen%lan(an -e!er T%mp%an

Balok

Dimensi

∅

utama

d fy fc' 1u 1c ∅ 1c1/2∅ 1

c Jenis !ul#

2ma&3

d4∅ − 5rk tul

(mm)

(mm)

(Mpa)

(Mpa)

(N) (N) (N) (N) 6eser(mm)

B#a#a#$

%% & %% +#

%

-+-#

%-%

%,-%

$ !ul# 6eser $ ∅+ 7 $%

B#a#a#

%% & %% +#

%

-+-#

%-%

%,-%

$ !ul# 6eser $ ∅+ 7 $%

B#a#l#$

%% & %% +#

%

*+#

%-%

%,-%

$ !ul# 6eser $ ∅+ 7 $%

B#a#l#

%% & %% +#

%

*+#

%-%

%,-%

$ !ul# 6eser $ ∅+ 7 $%

54


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3. Tabel Pen%lan(an -e!er T%mp%an

Balok Dimensi

∅

utama

d fy fc' 1u 1c ∅ 1c 1/2∅ 1c Jenis !ul#2ma&3 d4

∅ − 5rk tul

(mm)

(mm)

(Mpa)

(Mpa) (N) (N) (N) (N) 6eser (mm)

B#a#a#$

%% &%%

+#

% ,$%*#- %-% %,-% $

!ul# 6eserMin

$#* ,$#* ∅+ 7 %

B#a#a#

%% &%%

+#

% ,$%*#- %-% %,-% $

!ul# 6eserMin

$#* ,$#* ∅+ 7 %

B#a#l#$ %% &%%

+ #

% +--# %-% %,-% $ !ul# 6eser $#* 7 ∅+ 7 $%

B#a#l#%% &%%

+#

% +--# %-% %,-% $ !ul# 6eser $#* 7 ∅+ 7 $%

55


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