Download - BAB III,Perencanaan Balok Anak,Lantai
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
1/32
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
27
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
2/32
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
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
3/32
2,
TABLE: Element Fore! " Frame!
Frame #tat$on O%tp%tCa!e &2 M3
e&t m e&t -m
1 0 *B1 00.78 -1.346-13
1 0.4 *B1 1550.84 -430.32
1 0.8 *B1 2500., -1240.7
1 1.2 *B1 3450., -2431.04
2 0 *B1 -4514.7 -2431.04
2 0.5 *B1 -3327.0, -470.
2 1 *B1 -213,.52 8,.05
2 1.5 *B1 -,51.,4 18.,2
2 2 *B1 235.4 1847.,,
2 2.5 *B1 1423.21 1433.28
2 3 *B1 210.7, 424.782 3.5 *B1 37,8.3 -1177.51
2 4 *B1 4,85.,4 -3373.58
3 0 *B1 -4827.48 -3373.58
3 0.5 *B1 -33,.,1 -125.73
3 1 *B1 -2452.33 2.32
3 1.5 *B1 -124.75 11,5.
3 2 *B1 -77.18 1531.08
3 2.5 *B1 1110.4 1272.77
3 3 *B1 22,7.,7 420.8
3 3.5 *B1 3485.55 -1025.2
3 4 *B1 473.12 -304.87
4 0 *B1 -473.12 -304.87
4 0.5 *B1 -3485.55 -1025.2
4 1 *B1 -22,7.,7 420.8
4 1.5 *B1 -1110.4 1272.77
4 2 *B1 77.18 1531.08
4 2.5 *B1 124.75 11,5.
4 3 *B1 2452.33 2.32
4 3.5 *B1 33,.,1 -125.73
4 4 *B1 4827.48 -3373.58
5 0 *B1 -4,85.,4 -3373.58
5 0.5 *B1 -37,8.3 -1177.51
5 1 *B1 -210.7, 424.78
5 1.5 *B1 -1423.21 1433.28
5 2 *B1 -235.4 1847.,,
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
4/32
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
5/32
Pada amba 3.3 dan amba 3.4 men"n"kan anali$i$ bal%k anak atap denan $%t9ae ;P 2000+
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
6/32
3.1.3 Per'$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
-
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
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$ ;$
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
8/32
*" = 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
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
9/32
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
35
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
10/32
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
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
11/32
= 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
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
12/32
=1-4
148200−K 25 mm
= 17+3 N 25 mm )TI*AK OK+
aena aak antaa t"lanan $eaa k"an dai $
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
13/32
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,
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
14/32
Ladi dipakai $enkan > 8 250 mm.
-ambar Pen%lan(an Balok Anak Atap
amba 3.5 Pen"lanan Deaah "mp"an
40
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
15/32
amba 3. Pen"lanan Daeah #apanan
3.2 Balok Anak Lanta$ 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
41
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
16/32
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
42
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
17/32
43
TABLE: Element Fore! " Frame!
Frame #tat$on O%tp%tCa!e &2 M3
e&t m e&t -m
1 0 *B1 8,.28 ,.0,56-14
1 0.4 *B1 2313.4 -41.,8
1 0.8 *B1 3731 -1850.,1
1 1.2 *B1 5148.3 -32.78
2 0 *B1 -735.27 -32.78
2 0.5 *B1 -4,3.57 -702.07
2 1 *B1 -31,1.87 133.7,
2 1.5 *B1 -1420.17 248,.8
2 2 *B1 351.54 275.,5
2 2.5 *B1 2123.24 2138.2
2 3 *B138,4.,4 33.72
2 3.5 *B1 5.4 -175.8
2 4 *B1 7438.34 -5032.,3
3 0 *B1 -7201.,5 -5032.,3
3 0.5 *B1 -5430.25 -1874.88
3 1 *B1 -358.54 3,7.32
3 1.5 *B1 -188.84 1783.7
3 2 *B1 -115.14 2284.1
3 2.5 *B1 15.5 18,8.81
3 3 *B1 3428.2 27.
3 3.5 *B1 51,,.,7 -152,.4
3 4 *B1 ,71.7 -4572.3
4 0 *B1 -,71.7 -4572.3
4 0.5 *B1 -51,,.,7 -152,.4
4 1 *B1 -3428.2 27.
4 1.5 *B1 -15.5 18,8.81
4 2 *B1 115.14 2284.1
4 2.5 *B1 188.84 1783.7
4 3 *B1 358.54 3,7.32
4 3.5 *B1 5430.25 -1874.88
4 4 *B1 7201.,5 -5032.,3
5 0 *B1 -7438.34 -5032.,3
5 0.5 *B1 -5.4 -175.8
5 1 *B1 -38,4.,4 33.72
5 1.5 *B1 -2123.24 2138.2
5 2 *B1 -351.54 275.,5
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
18/32
amba 4.1 Bidan *
amba 4.2 Bidan D
44
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
19/32
Pada amba 4.3 dan amba 4.4 men"n"kan anali$i$ bal%k anak lantai 2 denan $%t9ae ;P 2000+
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
20/32
3.2.3 Per'$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
-
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
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$ ;$
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
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
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
23/32
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
ehina aak t"lanan =1n
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 $
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
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
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
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
ehina aak t"lanan =1n
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 $enkan = >8
-
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
26/32
A" = 7438+34 k = 74+3834 k
An =φ
Vu =
75+0
74+3834 = ,+8 k
A' = fc'6
1 b.d
= 25
1200.245.5
= 40,20 = 40+,2 k
>A' = 0+75 . 40+,2
= 30+,
2
1>A' = 15+345 k
A$ = 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
Ladi dipakai $enkan > 8120 mm.
52
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
27/32
Pen"lanan e$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
Ladi dipakai $enkan > 8120 mm.
-ambar Pen%lan(an Balok Anak Lanta$ 2
53
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
28/32
amba 3.5. Pen"lanan Deaah "mp"an
amba 3.. Pen"lanan Daeah #apanan
54
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
29/32
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
30/32
%% %% $ * 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 $%
54
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
31/32
3. Tabel Pen%lan(an -e!er T%mp%an
Balok Dimensi
∅
utama
d fy fc' 1u 1c ∅ 1c 1/2∅ 1c Jenis !ul#2ma&3 d4
∅ − 5rk tul
(mm)
(mm)
(Mpa)
(Mpa) (N) (N) (N) (N) 6eser (mm)
B#a#a#$
%% &%%
+#
% ,$%*#- %-% %,-% $
!ul# 6eserMin
$#* ,$#* ∅+ 7 %
B#a#a#
%% &%%
+#
% ,$%*#- %-% %,-% $
!ul# 6eserMin
$#* ,$#* ∅+ 7 %
B#a#l#$ %% &%%
+ #
% +--# %-% %,-% $ !ul# 6eser $#* 7 ∅+ 7 $%
B#a#l#%% &%%
+#
% +--# %-% %,-% $ !ul# 6eser $#* 7 ∅+ 7 $%
55
-
8/18/2019 BAB III,Perencanaan Balok Anak,Lantai
32/32