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VOID
VOID
A
B
C
D
1
A
B
B'
C
D
E
F
F'
2 2' 3 4 5 5' 6
1 2 3 4 5 5' 64'
250
2100
E
F
F'
A
B
C
D
E'
3.2.3. Perhitungan Balok
Data yang ada :
Mutu Beton ( f’c ) = 20 Mpa
Mutu Baja ( f’y ) = 400 Mpa (ulir)
Berat Dinding = 2,5 kN/m2
Berat Jenis Beton = 2400 kg/m3
WL = 2 kN/m2 , 3 kN/m2
Penutup = 1 kN/m2
Tinggi dinding = 4 m
94
200 500 400 500 250 250
A B C D E E' F
+
BALOK AS - 3
Dimensi Balok
Diambil bentang terpanjang yaitu 5 m
h = 12
1 =
12
1 . 500 = 41,66 ~ 40 cm
b = 3
2h =
3
2 . 40 = 26,6 ~ 25 cm
Diambil dimensi balok = 25/40
1. BALOK AS 3 ( A-B)
1. Beban yang bekerja pada plat lantai
Beban mati(WD)
– B.s. plat = 0,12 . 2400 . 1 . 10 = 2880 N/m = 2,88 kN/m
– Finishing =100 . 1 . 10 = 1000 N/m = 1,00 kN/m
– WD TOTAL = 3,88 kN/m
Beban hidup (WL)
– WL untuk balkon = 300 . 1 . 10 = 3,00 kN/m
Beban Ultimate (WU) =1,2 (WD)+1,6(WL)
=1,2 (3,88)+1,6(3)
=9,456 kN/m
95
+
2. Pembebanan BALOK A-B
Beban mati(WD)
– q ekuivalen plat beban segitiga
=3
1.WU plat . lx
= 3
1 . 9,456 . 2 = 6,304 kN/m
– Berat sendiri Balok
= b . h . 24 kN/m2
= 0,25 . 0,4 . 24 kN/2 = 2,400 kN/m
– Tembok t=1m
2,5 kN/m2 . 1 = 2,500 kN/m
q AB = 11,204 kN/m
3. Menghitung Momen
MtA = 16
1 . q . l2
= 16
1 . 11,204 . 22
= 2,801 kNm
MlAB = 14
1 . q . l 2
= 14
1 . 11,204 . 22
= 3,201 kNm
96
MtB = 10
1 . q . l2
= 10
1 . 11,204 . 22
= 4,482 kNm
4. Menghitung luas tulangan perlu
Tinggi balok ( h ) = 400 mm
Selimut beton (p) = 40 mm (tabel 3)
Perkiraan diameter utama = Ø 12 mm
Perkiraan diameter sengkang = Ø 8 mm
d = h – p – Ø sengkang – ½ Ø utama
= 400 – 40 – 8 – 6
= 346 mm = 0,346 m
5. Mencari tulangan
>> MtA = 2,801 KNm
22 346,025,0
801,2
db
Mu= 93,588 KN/m2
interpolasi < min (0,0017)
Dipakai min 0,0017
ASTA = . b . d
= 0,0017 . 250 . 346
= 147,05 mm2
97
>> MlAB = 3,021 KNm
22 346,025,0
021,3
db
Mu= 106,953 KN/m2
interpolasi < min (0,0017)
Dipakai min 0,0017
ASlAB = . b . d
= 0,0017 . 250 . 346
= 147,05 mm2
>> MtB = 4,482 KNm
22 346,025,0
482,4
db
Mu= 149,754 KN/m2
interpolasi < min (0,0017)
Dipakai min 0,0017
ASlAB = . b . d
= 0,0017 . 250 . 346
= 147,05 mm2
6. Pilih Tulangan
AS A = 2 D 16 (402 mm2)
AS A-B = 2 D 16 (402 mm2)
AS B = 2 D 16 (402 mm2)
98
+
2. BALOK AS 3 (B-C)
1. Beban yang bekerja pada plat lantai
Beban mati(WD)
– B.s. plat = 0,12 . 2400 . 1 . 10 = 2880 N/m = 2,88 kN/m
– Finishing =100 . 1 . 10 = 1000 N/m = 1,00 kN/m
– WD TOTAL = 3,88 kN/m
Beban hidup (WL)
– WL untuk balkon = 200 . 1 . 10 = 2,00 kN/m
Beban Ultimate (WU) =1,2 (WD)+1,6(WL)
=1,2 (3,88)+1,6(2)
=7,856 kN/m
2. Pembebanan BALOK B-C
Beban mati(WD)
– q ekuivalen plat beban segitiga
=3
1.WU plat . lx. 1
= 3
1 . 7,856 . 2,5 . 1 = 6,546 kN/m
– Berat sendiri Balok
= b . h . 24 kN/m2
= 0,25 . 0,4 . 24 kN/2 = 2,400 kN/m
99
+
– Tembok t=4m
2,5 kN/m2 . 4 = 10,000 kN/m
– Pembebanan P (diratakan)
> q ekuivalen plat trapesium
= 6
1. WU . lx . (3-(
ly
lx)2)
= 6
1. 7,856 . 2,5 . (3-(
4
5,2)2)
= 17,083 kN/m
>bs balok anak
=0,2 . 0,3 . 24
=1,44 kN/m
>q total = 17,083 kN/m + 1,44 kN/m
= 18,523 kN/m
>beban terpusat
=q . l = 18,523 . 4 m = 74,092 Kn
>dibagi di 2 tumpuan, tiap tumpuan menerima:
=74,092 : 2 = 37,046 kN
Diasumsikan diratakan di balok B-C
37,046 : 5 = 7,409 kN/m = 7,409 kN/m
qBC = 26,355 kN/m
100
3. Menghitung Momen
MtB = 10
1 . q . l2
= 10
1 . 26,355 . 52
= 65,887 kNm
MlBC = 16
1 . q . l 2
= 16
1 . 26,355 . 52
= 41,719 kNm
MtC = 11
1 . q . l2
= 11
1 . 26,355 . 52
= 59,897 kNm
4. Menghitung luas tulangan perlu
Tinggi balok ( h ) = 400 mm
Selimut beton (p) = 40 mm (tabel 3)
Perkiraan diameter utama = Ø 12 mm
Perkiraan diameter sengkang = Ø 8 mm
d = h – p – Ø sengkang – ½ Ø utama
= 400 – 40 – 8 – 6
= 346 mm = 0,346 m
101
5. Mencari tulangan
>> MtB = 65,887 KNm
22 346,025,0
65,887
db
Mu= 2201,44 KN/m2
interpolasi = 22002300
22002201
=
0075,00079,0
0075,0
= 0,0004 = 100 x – 0,75
= 0,0075
interpolasi > min (0,0017)
Dipakai interpolasi 0,0075
ASTB = . b . d
= 0,0075 . 250 . 346
= 648,7 mm2
>> MlBC = 41,719 KNm
22 346,025,0
41,719
db
Mu= 1375,88 KN/m2
interpolasi = 13001400
13001376
=
0043,00046,0
0043,0
= 0,0228 = 100 x – 0,43
= 0,0045
interpolasi > min (0,0017)
Dipakai interpolasi 0,0045
102
ASlBC = . b . d
= 0,0045 . 250 . 346
= 389,25 mm2
>> MtC = 59,897 KNm
22 346,025,0
59,897
db
Mu= 2001 KN/m2
interpolasi = 20002100
20002001
=
0068,00072,0
0068,0
= 0,0004 = 100 x – 0,68
= 0,0068
interpolasi > min (0,0017)
Dipakai min 0,0068
AStC = . b . d
= 0,0068 . 250 . 346
= 588,2mm2
6. Pilih Tulangan
AS B = 4 D 16 (804 mm2)
AS B-C = 2 D 16 (402 mm2)
AS C = 3 D 16 (603 mm2)
103
+
3. BALOK AS 3 (C-D)
1. Beban yang bekerja pada plat lantai
Beban mati(WD)
– B.s. plat = 0,12 . 2400 . 1 . 10 = 2880 N/m = 2,88 kN/m
– Finishing =100 . 1 . 10 = 1000 N/m = 1,00 kN/m
– WD TOTAL = 3,88 kN/m
Beban hidup (WL)
– WL untuk balkon = 200 . 1 . 10 = 2,00 kN/m
Beban Ultimate (WU) =1,2 (WD)+1,6(WL)
=1,2 (3,88)+1,6(2)
=7,856 kN/m
2. Pembebanan BALOK B-C
Beban mati(WD)
– q ekuivalen plat beban segitiga
=3
1.WU plat . lx. 2
= 3
1 . 7,856 . 2 . 2 = 10,501 kN/m
– Berat sendiri Balok
= b . h . 24 kN/m2
= 0,25 . 0,4 . 24 kN/2 = 2,400 kN/m
104
+
– Tembok t=4m
2,5 kN/m2 . 4 = 10,000 kN/m
– Pembebanan P (diratakan)
> q ekuivalen plat trapesium
= 6
1. WU . lx . (3-(
ly
lx)2)
= 6
1. 7,856 . 2 . (3-(
4
2)2)
= 7,201 kN/m x 4
= 28,805 kN/m
>bs balok anak
=0,2 . 0,3 . 24 . 2
=2,88 kN/m
>q total = 28,805 kN/m + 2,88 kN/m
= 31,685 kN/m
>beban terpusat
=q . l = 31,685 . 4 m = 126,623 kN
Diasumsikan diratakan di balok C-D
126,623 : 4 = 31,658 kN/m = 31,658 kN/m
qBC = 54,559 kN/m
105
3. Menghitung Momen
MtC = 11
1 . q . l2
= 11
1 . 54,559 . 42
= 79,358 kNm
MlCD = 16
1 . q . l 2
= 16
1 . 54,559 . 42
= 54,559 kNm
MtD =11
1 . q . l2
= 11
1 . 54,559 . 42
= 79,358 kNm
4. Menghitung luas tulangan perlu
Tinggi balok ( h ) = 400 mm
Selimut beton (p) = 40 mm (tabel 3)
Perkiraan diameter utama = Ø 12 mm
Perkiraan diameter sengkang = Ø 8 mm
d = h – p – Ø sengkang – ½ Ø utama
= 400 – 40 – 8 – 6
= 346 mm = 0,346 m
106
5. Mencari tulangan
>> MtC = 79,358 KNm
22 346,025,0
79,358
db
Mu= 2651,54 KN/m2
interpolasi = 26002700
26002651
=
0091,00095,0
0091,0
= 0,0204 = 100 x – 0,91
= 0,0093
interpolasi > min (0,0017)
Dipakai interpolasi 0,0093
ASTC = . b . d
= 0,0093 . 250 . 346
= 804 mm2
>> MlCD = 54,559 KNm
22 346,025,0
54,559
db
Mu= 1822,94 KN/m2
interpolasi = 18001900
18001822
=
0061,00064,0
0061,0
= 0,0066 = 100 x – 0,61
= 0,0062
interpolasi > min (0,0017)
Dipakai interpolasi 0,0062
107
ASlCD = . b . d
= 0,0062 . 250 . 346
= 536,3 mm2
>> MtD = 79,358 KNm
22 346,025,0
79,358
db
Mu= 2651,54 KN/m2
interpolasi = 26002700
26002651
=
0091,00095,0
0091,0
= 0,0204 = 100 x – 0,91
= 0,0093
interpolasi > min (0,0017)
Dipakai interpolasi 0,0093
ASTD = . b . d
= 0,0093 . 250 . 346
= 804 mm2
6. Pilih Tulangan
AS C = 4 D 16 (804 mm2)
AS C-D = 3 D 16 (603 mm2)
AS D = 4 D 16 (804 mm2)
108
+
4. BALOK AS 3 (D-E)
1. Beban yang bekerja pada plat lantai
Beban mati(WD)
– B.s. plat = 0,12 . 2400 . 1 . 10 = 2880 N/m = 2,88 kN/m
– Finishing =100 . 1 . 10 = 1000 N/m = 1,00 kN/m
– WD TOTAL = 3,88 kN/m
Beban hidup (WL)
– WL untuk balkon = 200 . 1 . 10 = 2,00 kN/m
Beban Ultimate (WU) =1,2 (WD)+1,6(WL)
=1,2 (3,88)+1,6(2)
=7,856 kN/m
2. Pembebanan BALOK D-E
Beban mati(WD)
– q ekuivalen plat beban segitiga
=3
1.WU plat . lx. 1
= 3
1 . 7,856 . 2,5 . 1 = 6,546 kN/m
– Berat sendiri Balok
= b . h . 24 kN/m2
= 0,25 . 0,4 . 24 kN/2 = 2,400 kN/m
109
+
– Tembok t=4m
2,5 kN/m2 . 4 = 10,000 kN/m
– Pembebanan P (diratakan)
> q ekuivalen plat trapesium
= 6
1. WU . lx . (3-(
ly
lx)2)
= 6
1. 7,856 . 2,5 . (3-(
4
5,2)2)
= 17,083 kN/m
>bs balok anak
=0,2 . 0,3 . 24
=1,44 kN/m
>q total = 17,083 kN/m + 1,44 kN/m
= 18,523 kN/m
>beban terpusat
=q . l = 18,523 . 4 m = 74,092 kN
>dibagi di 2 tumpuan, tiap tumpuan menerima:
=74,092 : 2 = 37,046 kN
Diasumsikan diratakan di balok D-E
37,046 : 5 = 7,409 kN/m = 7,409 kN/m
qDE = 26,355 kN/m
110
3. Menghitung Momen
MtD = 11
1 . q . l2
= 11
1 . 26,355 . 52
= 59,897 kNm
MlDE = 16
1 . q . l 2
= 16
1 . 26,355 . 52
= 41,719 kNm
MtE = 11
1 . q . l2
= 11
1 . 26,355 . 52
= 59,897 kNm
4. Menghitung luas tulangan perlu
Tinggi balok ( h ) = 400 mm
Selimut beton (p) = 40 mm (tabel 3)
Perkiraan diameter utama = Ø 12 mm
Perkiraan diameter sengkang = Ø 8 mm
d = h – p – Ø sengkang – ½ Ø utama
= 400 – 40 – 8 – 6
= 346 mm = 0,346 m
111
5. Mencari tulangan
>> MtD = 59,897 KNm
22 346,025,0
59,897
db
Mu= 2001,3 KN/m2
interpolasi = 20002100
20002001
=
0068,00072,0
0068,0
= 0,0004 = 100 x – 0,68
= 0,0068
interpolasi > min (0,0017)
Dipakai interpolasi 0,0068
ASTD = . b . d
= 0,0068 . 250 . 346
= 588,2 mm2
>> MlDE = 41,719 KNm
22 346,025,0
41,719
db
Mu= 1375,88 KN/m2
interpolasi = 13001400
13001376
=
0043,00046,0
0043,0
= 0,0228 = 100 x – 0,43
= 0,0045
interpolasi > min (0,0017)
Dipakai interpolasi 0,0045
112
ASlDE = . b . d
= 0,0045 . 250 . 346
= 389,25 mm2
>> MtE = 59,897 KNm
22 346,025,0
59,897
db
Mu= 2001,3 KN/m2
interpolasi = 20002100
20002001
=
0068,00072,0
0068,0
= 0,0004 = 100 x – 0,68
= 0,0068
interpolasi > min (0,0017)
Dipakai interpolasi 0,0068
ASTE = . b . d
= 0,0068 . 250 . 346
= 588,2 mm2
6. Pilih Tulangan
AS D = 3 D 16 (603 mm2)
AS D-E = 2 D 16 (402 mm2)
AS E = 3 D 16 (603 mm2)
113
+
5. BALOK AS 3 ( E-E’)
1. Beban yang bekerja pada plat lantai
Beban mati(WD)
– B.s. plat = 0,12 . 2400 . 1 . 10 = 2880 N/m = 2,88 kN/m
– Finishing =100 . 1 . 10 = 1000 N/m = 1,00 kN/m
– WD TOTAL = 3,88 kN/m
Beban hidup (WL)
– WL untuk balkon = 200 . 1 . 10 = 2,00 kN/m
Beban Ultimate (WU) =1,2 (WD)+1,6(WL)
=1,2 (3,88)+1,6(2)
=7,856 kN/m
2. Pembebanan BALOK A-B
Beban mati(WD)
– q ekuivalen plat beban segitiga
=3
1.WU plat . lx
= 3
1 . 7,856 . 2,5 . 2 = 13,093 kN/m
– Berat sendiri Balok
= b . h . 24 kN/m2
= 0,25 . 0,4 . 24 kN/2 = 2,400 kN/m
114
+
– Tembok t=4m
2,5 kN/m2 . 4 = 10,000 kN/m
q EE’ = 25,493 kN/m
3. Menghitung Momen
MtE = 11
1 . q . l2
= 11
1 . 25,493 . 2,52
= 14,484 kNm
MlEE’ = 16
1 . q . l 2
= 16
1 . 25,493 . 2,52
= 9,958 kNm
MtE’ = 10
1 . q . l2
= 10
1 . 25,493 . 2,52
= 15,933 kNm
4. Menghitung luas tulangan perlu
Tinggi balok ( h ) = 400 mm
Selimut beton (p) = 40 mm (tabel 3)
Perkiraan diameter utama = Ø 12 mm
Perkiraan diameter sengkang = Ø 8 mm
115
d = h – p – Ø sengkang – ½ Ø utama
= 400 – 40 – 8 – 6
= 346 mm = 0,346 m
5. Mencari tulangan
>> MtE = 14,484 KNm
22 346,025,0
14,484
db
Mu= 467,77 KN/m2
interpolasi < min (0,0017)
Dipakai min 0,0017
ASTE = . b . d
= 0,0017 . 250 . 346
= 147,05 mm2
>> MlEE’ = 9,958 KNm
22 346,025,0
9,958
db
Mu= 332,720 KN/m2
interpolasi < min (0,0017)
Dipakai min 0,0017
AslEE’ = . b . d
= 0,0017 . 250 . 346
= 147,05 mm2
116
+
>> MtE’ = 15,933 KNm
22 346,025,0
15,933
db
Mu= 532,359 KN/m2
interpolasi < min (0,0017)
Dipakai min 0,0017
AstE’ = . b . d
= 0,0017 . 250 . 346
= 147,05 mm2
6. Pilih Tulangan
ASE = 2 D 16 (402 mm2)
AS E-E’ = 2 D 16 (402 mm2)
AS E’ = 2 D 16 (402 mm2)
6. BALOK AS 3 ( E’-F)
1. Beban yang bekerja pada plat lantai
Beban mati(WD)
– B.s. plat = 0,12 . 2400 . 1 . 10 = 2880 N/m = 2,88 kN/m
– Finishing =100 . 1 . 10 = 1000 N/m = 1,00 kN/m
– WD TOTAL = 3,88 kN/m
117
+
Beban hidup (WL)
– WL untuk balkon = 200 . 1 . 10 = 2,00 kN/m
Beban Ultimate (WU) =1,2 (WD)+1,6(WL)
=1,2 (3,88)+1,6(2)
=7,856 kN/m
2. Pembebanan BALOK A-B
Beban mati(WD)
– q ekuivalen plat beban segitiga
=3
1.WU plat . lx
= 3
1 . 7,856 . 2,5 . 2 = 13,093 kN/m
– Berat sendiri Balok
= b . h . 24 kN/m2
= 0,25 . 0,4 . 24 kN/2 = 2,400 kN/m
– Tembok t=4m
2,5 kN/m2 . 4 = 10,000 kN/m
q E’F = 25,493 kN/m
118
3. Menghitung Momen
MtE’ = 10
1 . q . l2
= 10
1 . 25,493 . 2,52
= 15,933 kNm
MlE’F = 14
1 . q . l 2
= 14
1 . 25,493 . 2,52
= 11,380 kNm
MtF = 16
1 . q . l2
= 16
1 . 25,493 . 2,52
= 9,958 kNm
4. Menghitung luas tulangan perlu
Tinggi balok ( h ) = 400 mm
Selimut beton (p) = 40 mm (tabel 3)
Perkiraan diameter utama = Ø 12 mm
Perkiraan diameter sengkang = Ø 8 mm
d = h – p – Ø sengkang – ½ Ø utama
= 400 – 40 – 8 – 6
= 346 mm = 0,346 m
119
5. Mencari tulangan
>> MtE’ = 15,933 KNm
22 346,025,0
15,933
db
Mu= 532,359 KN/m2
interpolasi < min (0,0017)
Dipakai min 0,0017
ASTE’ = . b . d
= 0,0017 . 250 . 346
= 147,05 mm2
>> MlE’F = 11,380 KNm
22 346,025,0
11,380
db
Mu= 380,323 KN/m2
interpolasi < min (0,0017)
Dipakai min 0,0017
AslE’F = . b . d
= 0,0017 . 250 . 346
= 147,05 mm2
>> MtF = 9,958 KNm
22 346,025,0
9,958
db
Mu= 332,720 KN/m2
interpolasi < min (0,0017)
Dipakai min 0,0017
120
AstF = . b . d
= 0,0017 . 250 . 346
= 147,05 mm2
6. Pilih Tulangan
ASE = 2 D 16 (402 mm2)
AS E-E’ = 2 D 16 (402 mm2)
AS E’ = 2 D 16 (402 mm2)
121
200 400 400 300 100 200
1 2 3 4 5'54'
+
BALOK AS-F
Dimensi Balok
Diambil bentang terpanjang yaitu 4 m
h = 12
1 =
12
1 . 400 = 33,3 ~ 35 cm
b = 3
2h =
3
2 . 35 = 23,3 ~ 20 cm
Diambil dimensi balok = 20/35
1. BALOK AS F ( 1-2)
1. Beban yang bekerja pada plat lantai
Beban mati(WD)
– B.s. plat = 0,12 . 2400 . 1 . 10 = 2880 N/m = 2,88 kN/m
– Finishing =100 . 1 . 10 = 1000 N/m = 1,00 kN/m
– WD TOTAL = 3,88 kN/m
Beban hidup (WL)
– WL untuk balkon = 300 . 1 . 10 = 3,00 kN/m
122
+
Beban Ultimate (WU) =1,2 (WD)+1,6(WL)
=1,2 (3,88)+1,6(3)
=9,456 kN/m
2. Pembebanan BALOK 1-2
Beban mati(WD)
– q ekuivalen plat beban segitiga
=3
1.WU plat . lx
= 3
1 . 9,456 . 2 = 6,304 kN/m
– Berat sendiri Balok
= b . h . 24 kN/m2
= 0,2 . 0,35 . 24 kN/m2 = 1,680 kN/m
– Tembok t=1m
2,5 kN/m2 . 1 = 2,500 kN/m
q 1-2 = 10,484 kN/m
3. Menghitung Momen
Mt1 = 16
1 . q . l2
= 16
1 . 10,484 . 22
= 2,621 kNm # 5,11 kNm (hasil Beamax)
123
Ml1-2 = 14
1 . q . l 2
= 14
1 . 10,484 . 22
= 2,995 kNm
MtB = 10
1 . q . l2
= 10
1 . 10,484 . 22
= 4,193 kNm # 20,7 kNm (hasil beamax)
4. Menghitung luas tulangan perlu
Tinggi balok ( h ) = 350 mm
Selimut beton (p) = 40 mm (tabel 3)
Perkiraan diameter utama = Ø 12 mm
Perkiraan diameter sengkang = Ø 8 mm
d = h – p – Ø sengkang – ½ Ø utama
= 350 – 40 – 8 – 6
= 296 mm = 0,296 m
5. Mencari tulangan
>> Mt1 = 5,11 KNm
22 296,020,0
5,11
db
Mu= 291,613 KN/m2
interpolasi < min (0,0017)
124
Dipakai min 0,0017
AST1 = . b . d
= 0,0017 . 200 . 296
= 100,64 mm2
>> Ml1-2 = 2,995 KNm
22 296,020,0
2,995
db
Mu= 170,91 KN/m2
interpolasi < min (0,0017)
Dipakai min 0,0017
Asl1-2 = . b . d
= 0,0017 . 200 . 296
= 100,64 mm2
>> Mt2 = 20,7 KNm
22 296,020,0
20,7
db
Mu= 1181,291 KN/m2
interpolasi = 11001200
11001181
=
0036,00039,0
0036,0
= 0,0243 = 100 x – 0,36
= 0,0038
interpolasi > min (0,0017)
Dipakai interpolasi 0,0038
125
+
Ast2 = . b . d
= 0,0038 . 200 . 296
= 224,96mm2
6. Pilih Tulangan
AS1 = 2 D 13 (265 mm2)
AS 1-2 = 2 D 13 (265 mm2)
AS 2 = 2 D 13 (265 mm2)
2. BALOK AS F ( 2-3)
1. Beban yang bekerja pada plat lantai
Beban mati(WD)
– B.s. plat = 0,12 . 2400 . 1 . 10 = 2880 N/m = 2,88 kN/m
– Finishing =100 . 1 . 10 = 1000 N/m = 1,00 kN/m
– WD TOTAL = 2,88 kN/m
Beban hidup (WL)
– WL untuk balkon = 200 . 1 . 10 = 2,00 kN/m
Beban Ultimate (WU) =1,2 (WD)+1,6(WL)
=1,2 (3,88)+1,6(2)
=7,856 kN/m
126
+
2. Pembebanan BALOK 2-3
Beban mati(WD)
– q ekuivalen plat beban trapesium
=6
1. WU . lx . (3-(
ly
lx)2)
= 6
1. 7,856 . 2,5 . (3-(
4
5,2)2) = 8,451 kN/m
– Berat sendiri Balok
= b . h . 24 kN/m2
= 0,2 . 0,35 . 24 kN/m2 = 1,680 kN/m
– Tembok t=4m
2,5 kN/m2 . 4 = 10,000 kN/m
q 2-3 = 20,221 kN/m
3. Menghitung Momen
Mt2 = 10
1 . q . l2
= 10
1 . 20,221 . 42
= 32,353 kNm
Ml2-3 = 16
1 . q . l 2
= 16
1 . 20,221 . 42
= 20,221 kNm
127
Mt3 = 11
1 . q . l2
= 11
1 . 20,221 . 42
= 29,412 kNm
4. Menghitung luas tulangan perlu
Tinggi balok ( h ) = 350 mm
Selimut beton (p) = 40 mm (tabel 3)
Perkiraan diameter utama = Ø 12 mm
Perkiraan diameter sengkang = Ø 8 mm
d = h – p – Ø sengkang – ½ Ø utama
= 350 – 40 – 8 – 6
= 296 mm = 0,296 m
5. Mencari tulangan
>> Mt2 = 32,353 KNm
22 296,020,0
32,353
db
Mu= 1846,295 KN/m2
interpolasi = 18001900
18001846
=
0061,00064,0
0061,0
= 0,0138 = 100 x – 0,61
= 0,0062
interpolasi > min (0,0017)
Dipakai interpolasi 0,0062
128
AST2 = . b . d
= 0,0062 . 200 . 296
= 367,04 mm2
>> Ml2-3 = 20,221 KNm
22 296,020,0
20,221
db
Mu= 1153,955 KN/m2
interpolasi = 11001200
11001154
=
0036,00039,0
0036,0
= 0,0162 = 100 x – 0,36
= 0,0037
interpolasi > min (0,0017)
Dipakai interpolasi 0,0037
Asl2-3 = . b . d
= 0,0037 . 200 . 296
= 219,04 mm2
>> Mt3 = 29,412 KNm
22 296,020,0
29,412
db
Mu= 1678,46 KN/m2
interpolasi = 16001700
16001678
=
0053,00057,0
0053,0
= 0,0312 = 100 x – 0,53
= 0,0056
129
+
interpolasi > min (0,0017)
Dipakai interpolasi 0,0056
Ast3 = . b . d
= 0,0056 . 200 . 296
= 331,52 mm2
6. Pilih Tulangan
AS2 = 3 D 13 (398 mm2)
AS 2-3 = 2 D 13 (265 mm2)
AS 3 = 3 D 13 (398 mm2)
3. BALOK AS F ( 3-4)
1. Beban yang bekerja pada plat lantai
Beban mati(WD)
– B.s. plat = 0,12 . 2400 . 1 . 10 = 2880 N/m = 2,88 kN/m
– Finishing =100 . 1 . 10 = 1000 N/m = 1,00 kN/m
– WD TOTAL = 2,88 kN/m
Beban hidup (WL)
– WL untuk balkon = 200 . 1 . 10 = 2,00 kN/m
Beban Ultimate (WU) =1,2 (WD)+1,6(WL)
=1,2 (3,88)+1,6(2)
=7,856 kN/m
130
+
2. Pembebanan BALOK 3-4
Beban mati(WD)
– q ekuivalen plat beban trapesium
=6
1. WU . lx . (3-(
ly
lx)2)
= 6
1. 7,856 . 2,5 . (3-(
4
5,2)2) = 8,451 kN/m
– Berat sendiri Balok
= b . h . 24 kN/m2
= 0,2 . 0,35 . 24 kN/m2 = 1,680 kN/m
– Tembok t=4m
2,5 kN/m2 . 4 = 10,000 kN/m
q 3-4 = 20,221 kN/m
3. Menghitung Momen
Mt3 = 11
1 . q . l2
= 11
1 . 20,221 . 42
= 29,412 kNm
Ml3-4 = 16
1 . q . l 2
= 16
1 . 20,221 . 42
= 20,221 kNm
131
Mt4 = 11
1 . q . l2
= 11
1 . 20,221 . 42
= 29,412 kNm # 34,76 kNm (hasil beamax)
4. Menghitung luas tulangan perlu
Tinggi balok ( h ) = 350 mm
Selimut beton (p) = 40 mm (tabel 3)
Perkiraan diameter utama = Ø 12 mm
Perkiraan diameter sengkang = Ø 8 mm
d = h – p – Ø sengkang – ½ Ø utama
= 350 – 40 – 8 – 6
= 296 mm = 0,296 m
5. Mencari tulangan
>> Mt3 = 29,412 KNm
22 296,020,0
29,412
db
Mu= 1678,46 KN/m2
interpolasi = 16001700
16001678
=
0053,00057,0
0053,0
= 0,0312 = 100 x – 0,53
= 0,0056
interpolasi > min (0,0017)
Dipakai interpolasi 0,0056
132
Ast3 = . b . d
= 0,0056 . 200 . 296
= 331,52 mm2
>> Ml3-4 = 20,221 KNm
22 296,020,0
20,221
db
Mu= 1153,955 KN/m2
interpolasi = 11001200
11001154
=
0036,00039,0
0036,0
= 0,0162 = 100 x – 0,36
= 0,0037
interpolasi > min (0,0017)
Dipakai interpolasi 0,0037
Asl3-4 = . b . d
= 0,0037 . 200 . 296
= 219,04 mm2
>> Mt4 = 34,76 KNm
22 296,020,0
34,76
db
Mu= 1983,65 KN/m2
interpolasi = 19002000
19001983
=
0064,00068,0
0064,0
= 0,0162 = 100 x – 0,64
= 0,0067
133
+
interpolasi > min (0,0017)
Dipakai interpolasi 0,0067
Ast4 = . b . d
= 0,0067 . 200 . 296
= 396,64 mm2
6. Pilih Tulangan
AS3 = 3 D 13 (398 mm2)
AS 3-4 = 2 D 13 (265 mm2)
AS 4 = 3 D 13 (398 mm2)
4. BALOK AS F ( 4-4’)
1. Beban yang bekerja pada plat lantai
Beban mati(WD)
– B.s. plat = 0,12 . 2400 . 1 . 10 = 2880 N/m = 2,88 kN/m
– Finishing =100 . 1 . 10 = 1000 N/m = 1,00 kN/m
– WD TOTAL = 2,88 kN/m
Beban hidup (WL)
– WL untuk balkon = 200 . 1 . 10 = 2,00 kN/m
Beban Ultimate (WU) =1,2 (WD)+1,6(WL)
=1,2 (3,88)+1,6(2)
=7,856 kN/m
134
2. Pembebanan BALOK 4-4’
Beban mati(WD)
– q ekuivalen plat beban trapesium
=6
1. WU . lx . (3-(
ly
lx)2)
= 6
1. 7,856 . 2 . (3-(
3
2)2) = 6,692 kN/m
– ekuivalen plat beban segitiga
=3
1.WU plat . lx
= 3
1 . 7,856 . 2 . 1,5 = 7,856 kN/m
– Berat sendiri Balok
= b . h . 24 kN/m2
= 0,2 . 0,35 . 24 kN/m2 = 1,680 kN/m
– Tembok t=4m
=2,5 kN/m2 . 4 = 10,000 kN/m
– pembebanan beban p (diratakan)
>q ekuivalen plat trapesium
= 6
1. WU . lx . (3-(
ly
lx)2)
= 6
1. 7,856 . 2 . (3-(
5,2
2)2) x 4
= 24,720 kN/m
135
+
>bs balok anak
=0,2 . 0,3 . 24
=1,44 kN/m
>bs tembok t=4m
=2,5 . 4 = 10,000 kN/m
>q total = 17,083 kN/m + 1,44 kN/m+10,00 kN/m
= 34,720 kN/m
>beban terpusat
=q . l = 34,720 . 5 m = 173,601 kN
>dibagi di 2 tumpuan, tiap tumpuan menerima:
=173,61 : 2 = 86,805 kN
Diasumsikan diratakan di balok 4-4’
86,805 : 3 = 28,933 kN/m = 28,933 kN/m
q 4-4’ = 55,080 kN/m
3. Menghitung Momen
Mt4 = 11
1 . q . l2
= 11
1 . 55,080 . 32
= 45,065 kNm
136
Ml4-4’ = 16
1 . q . l 2
= 16
1 . 55,080 . 32
= 30,982 kNm # 41,61 kNm (hasil beamax)
Mt4 = 11
1 . q . l2
= 11
1 . 55,080 . 32
= 45,065 kNm # 46,36 kNm (hasil beamax)
4. Menghitung luas tulangan perlu
Tinggi balok ( h ) = 350 mm
Selimut beton (p) = 40 mm (tabel 3)
Perkiraan diameter utama = Ø 12 mm
Perkiraan diameter sengkang = Ø 8 mm
d = h – p – Ø sengkang – ½ Ø utama
= 350 – 40 – 8 – 6
= 296 mm = 0,296 m
5. Mencari tulangan
>> Mt4 = 45,065 KNm
22 296,020,0
45,065
db
Mu= 2571,733 KN/m2
137
interpolasi = 25002600
25002572
=
0087,00091,0
0087,0
= 0,0288 = 100 x – 0,87
= 0,0089
interpolasi > min (0,0017)
Dipakai interpolasi 0,0089
Ast4 = . b . d
= 0,0089 . 200 . 296
= 526,88 mm2
>> Ml4-4’ = 41,61 KNm
22 296,020,0
41,61
db
Mu= 2374,5 KN/m2
interpolasi = 23002400
23002375
=
0079,00083,0
0079,0
= 0,0300 = 100 x – 0,79
= 0,0082
interpolasi > min (0,0017)
Dipakai interpolasi 0,0082
Asl4-4’ = . b . d
= 0,0082 . 200 . 296
= 485,44 mm2
138
+
>> Mt4’ = 46,36 KNm
22 296,020,0
46,36
db
Mu= 2645,63 KN/m2
interpolasi = 16002700
26002646
=
0091,00095,0
0091,0
= 0,0184 = 100 x – 0,91
= 0,0092
interpolasi > min (0,0017)
Dipakai interpolasi 0,0092
Ast4’ = . b . d
= 0,0092 . 200 . 296
= 544,64 mm2
6. Pilih Tulangan
AS4 = 4 D 13 (531 mm2)
AS 4-4’ = 3 D 13 (398 mm2)
AS 4‘ = 5 D 13 (664 mm2)
5. BALOK AS 3 ( 4’-5)
1. Beban yang bekerja pada plat lantai
Beban mati(WD)
– B.s. plat = 0,12 . 2400 . 1 . 10 = 2880 N/m = 2,88 kN/m
– Finishing =100 . 1 . 10 = 1000 N/m = 1,00 kN/m
– WD TOTAL = 3,88 kN/m
139
+
Beban hidup (WL)
– WL untuk balkon = 200 . 1 . 10 = 2,00 kN/m
Beban Ultimate (WU) =1,2 (WD)+1,6(WL)
=1,2 (3,88)+1,6(2)
=7,856 kN/m
2. Pembebanan BALOK 4’-5
Beban mati(WD)
– q ekuivalen plat beban segitiga
=3
1.WU plat . lx
= 3
1 . 7,856 . 2 .
2
1 = 2,618 kN/m
– Berat sendiri Balok
= b . h . 24 kN/m2
= 0,20 . 0,35 . 24 kN/2 = 1,680 kN/m
– Tembok t=4m
2,5 kN/m2 . 4 = 10,000 kN/m
q 4’-5 = 14,298 kN/m
140
3. Menghitung Momen
Mt4’ = 11
1 . q . l2
= 11
1 . 14,298 . 12
= 1,299 kNm # 46,36 kNm (hasil beamax)
Ml4’5 = 16
1 . q . l 2
= 16
1 . 14,298 . 12
= 0,893 kNm
Mt5 = 10
1 . q . l2
= 10
1 . 14,298 . 12
= 1,429 kNm # 5,17 kNm (hasil beamax)
4. Menghitung luas tulangan perlu
Tinggi balok ( h ) = 400 mm
Selimut beton (p) = 40 mm (tabel 3)
Perkiraan diameter utama = Ø 12 mm
Perkiraan diameter sengkang = Ø 8 mm
d = h – p – Ø sengkang – ½ Ø utama
= 400 – 40 – 8 – 6
= 346 mm = 0,346 m
141
5. Mencari tulangan
>> Mt4’ = 46,36 KNm
22 296,020,0
46,36
db
Mu= 2645,63 KN/m2
interpolasi = 16002700
26002646
=
0091,00095,0
0091,0
= 0,0184 = 100 x – 0,91
= 0,0092
interpolasi > min (0,0017)
Dipakai interpolasi 0,0092
AST4’ = . b . d
= 0,0092 . 200 . 296
= 544,64 mm2
>> Ml4’5 = 0,893 KNm
22 296,020,0
0,893
db
Mu= 50,961 KN/m2
interpolasi < min (0,0017)
Dipakai min 0,0017
Asl4’5 = . b . d
= 0,0017 . 200 . 296
= 100,64 mm2
142
+
>> Mt5 = 5,17 KNm
22 296,020,0
5,17
db
Mu= 295,03 KN/m2
interpolasi < min (0,0017)
Dipakai min 0,0017
AstF = . b . d
= 0,0017 . 200 . 296
= 100,64 mm2
6. Pilih Tulangan
AS4 ‘ = 5 D 13 (664 mm2)
AS 4’-5 = 2 D 13 (265 mm2)
AS 5 = 2 D 13 (265 mm2)
6. BALOK AS 3 ( 5-5`)
1. Beban yang bekerja pada plat lantai
Beban mati(WD)
– B.s. plat = 0,12 . 2400 . 1 . 10 = 2880 N/m = 2,88 kN/m
– Finishing =100 . 1 . 10 = 1000 N/m = 1,00 kN/m
– WD TOTAL = 3,88 kN/m
143
+
Beban hidup (WL)
– WL untuk balkon = 200 . 1 . 10 = 2,00 kN/m
Beban Ultimate (WU) =1,2 (WD)+1,6(WL)
=1,2 (3,88)+1,6(2)
=7,856 kN/m
2. Pembebanan BALOK 5-5’
Beban mati(WD)
– q ekuivalen plat beban segitiga
=3
1.WU plat . lx
= 3
1 . 7,856 . 2 = 5,237 kN/m
– Berat sendiri Balok
= b . h . 24 kN/m2
= 0,20 . 0,35 . 24 kN/2 = 1,680 kN/m
– Tembok t=4m
2,5 kN/m2 . 4 = 10,000 kN/m
q 5-5’ = 16,917 kN/m
144
3. Menghitung Momen
Mt5 = 10
1 . q . l2
= 10
1 . 16,917 . 22
= 6,766 kNm
Ml5-5’ = 14
1 . q . l 2
= 14
1 . 16,917 . 22
= 4,833 kNm # 7,47 kNm (hasil beamax)
Mt5’ = 16
1 . q . l2
= 16
1 . 16,917 . 22
= 4,229 kNm # 11,04 kNm (hasil beamax)
4. Menghitung luas tulangan perlu
Tinggi balok ( h ) = 400 mm
Selimut beton (p) = 40 mm (tabel 3)
Perkiraan diameter utama = Ø 12 mm
Perkiraan diameter sengkang = Ø 8 mm
d = h – p – Ø sengkang – ½ Ø utama
= 400 – 40 – 8 – 6
= 346 mm = 0,346 m
145
5. Mencari tulangan
>> Mt5 = 6,766 KNm
22 296,020,0
6,766
db
Mu= 386,116 KN/m2
interpolasi < min (0,0017)
Dipakai min 0,0017
AST5 = . b . d
= 0,0017 . 200 . 296
= 100,64 mm2
>> Ml5-5’ = 7,47 KNm
22 296,020,0
7,47
db
Mu= 426,292 KN/m2
interpolasi < min (0,0017)
Dipakai min 0,0017
Asl5-5’ = . b . d
= 0,0017 . 200 . 296
= 100,64 mm2
>> Mt5’ = 11,04 KNm
22 296,020,0
11,04
db
Mu= 652,84 KN/m2
interpolasi < min (0,0017)
Dipakai min 0,0017
146
Ast5’ = . b . d
= 0,0017 . 200 . 296
= 100,64 mm2
6. Pilih Tulangan
AS 5 = 2 D 13 (265 mm2)
AS 5-5’ = 2 D 13 (265 mm2)
AS 5’ = 2 D 13 (265 mm2)