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d. Tulangan Kombinasi Geser Lentur dan Torsi
Vu = 796 530 N
Tu = 32,07 kNm
= 32,70.10
6
Nmm Tn
= Tu φ= 32,70.10
6
0,75 = 42 760 000 Nmm
Σ x
2
y = bw
2
.h+hf
2
.3.hf =
600
2
.950+120
2
.3.120 = 347 184 000 mm
3
Tu min = φ.
c f
20. Σ x
2
y =
0,75. 30 20. 347 184 000 = 71 310 190,7 Nmm
Tu Tu min, maka torsi diabaikan. Untuk menghindari susut pada beton dipasang tulangan susut 4D13
Gambar 4.22 Penulangan balok induk frame 76
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Nur Khozin Saryono Andi Darmawan
L2A 305 027 L2A 305 034
e. Tulangan Kombinasi Geser Lentur dan Torsi Frame
= 78 lantai Semi Basement Type =
B-6090
h = 900 mm
tinggi balok bw
= 600 mm lebar balok hf
= 120 mm tebal plat p
= 40 mm tebal selimut beton ∅ tul. tekan = 25 mm ; ∅ tul. tarik = 25 mm ; ∅ sengkang = 10 mm
d = h – P –12
∅ tul. - ∅ sengkang d
= 900 – 40 – ½.25 – 10 = 837,5 mm
Vu = 550,992 kN
= 550992 N Tu
= 183,788 kNm = 183,788.10
6
Nmm
Tn = Tu
φ= 183,788.10
6
0,75 = 245050666,67Nmm
Σ x
2
y = bw
2
.h+hf
2
.3.hf =
600
2
.900+120
2
.3.120 = 329 184 000 mm
3
Tu min = φ.
c f
20. Σ x
2
y =
0,75. 30 20.329 184 000 = 67 613 063,4 Nmm
Tu Tu min, maka pengaruh torsi dihitung x
1
= bw – 2p - ∅ sengkang
= 600 – 2.40 – 10 = 510 mm Y
1
= h – 2p - ∅ sengkang
= 900 – 2.40 – 10 = 810 mm ct
= bw.d Σ x2 y
= 600.8.7,5329 184 000 = 0,002
αt = at = 0,66 + 0,33 . Y
1
x
1
= 0,66 + 0,33 . 810 510 = 1,184
Tc =
VuTu} .
ct 0.4
{1 .
. 15
2 2
+ +
∑ y
x c
f
= }
3,788.10 55099218
. 0,002
0.4 {1
329184000 .
15 30
6 2
+ +
= 94 522 387,429 Nmm
Tugas Akhir
Perencanaan Struktur Gedung Apartemen Permata Berlian Jakarta
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L2A 305 027 L2A 305 034
Ts = Tn – Tc
= 245050666,67 - 94 522 387,429 = 150528279,237 N.mm
At s = Tn - Tc
αt . x
1
. Y
1
. fy = 245050666,67 - 94 522 387,4291,184.510.810.400
= 596,768 A
1
= 2. At . x
1
+ Y
1
s = 2. 245050666,67 - 94 522 387,429.510+810
1,184.510.810.400 = 2001,010 mm
2
digunakan tulangan torsi 6 D16 As = 2946,428 mm
2
Gambar 4.23 Penulangan balok induk frame 78
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Perencanaan Struktur Gedung Apartemen Permata Berlian Jakarta
Nur Khozin Saryono Andi Darmawan
L2A 305 027 L2A 305 034
4.7.5. Desain Tulangan menggunakan SAP2000
Dalam penulisan ini analisa manual balok portal dilakukan sebagai verifikasi terhadap output konfigurasi penulangan hasil design dari SAP2000
untuk menunjukan kelayakan penggunaan hasil design SAP2000. Adapun output dari design Sap200 pada element 76 adalah sebagi berikut :
Gambar 4.24 Hasil design untuk tulangan tumpuan, tulangan geser dan torsi
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Perencanaan Struktur Gedung Apartemen Permata Berlian Jakarta
Nur Khozin Saryono Andi Darmawan
L2A 305 027 L2A 305 034
Gambar 4.25 Hasil design untuk tulangan lapangan
Berdasarkan hasil design SAP2000 diperoleh design penulangan sebagai berikut :
• Tulangan Tumpuan : As SAP200
= 3609,049 mm
2
+ 7694,318 mm
2
= 11303,367 mm
2
As manual = 1471,88 mm + 9769,47 mm
2
= 11241,35 mm
2
Rasio =
11303,367-11241,3511241,35.100 = 0,55
• Tulangan Lapangan : As SAP2000 = 1882,269 mm
2
+ 3533,950 mm
2
= 5416,219 mm
2
As manual = 1471,88 mm
2
+ 3925,964 mm
2
= 5397,844 mm
2
Rasio =
5416,219-5397,8445397,844.100 = 0,34
• Penulangan Torsi As = A1
= 0,000 mm
2
torsi diabaikan
• Penulangan Geser : As SAP200
= 2,589 mm
2
As manual = As sengkang jarak
= 15760 = 2,6167 mm
2
Selanjutnya perhitungan penulangan balok induk dan balok anak dapat dilihat pada tabel 4.27- tabel 4.30 berikut ini :
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Tabel 4.27. Penulangan Lentur Balok Penampang Persegi
Lantai TIPE
Momen Frame
L Mu cek bagian beton tertekan
K Cek
Tul tekan
As=As2 F As1 Mn=A B
Persegi KKmax m
Mu Nmm
Nmm Nmm mm2
mm2 Semi
B-6090 Mtump 28
10 8.51E+08 1,063,613,750 1,427,490,000 Persegi 0.099
ok 3D25 1471.88 0.058 1867.4
Bsmt Mlap 28
4.25E+08 531,806,250
1,427,490,000 Persegi
0.050 ok 3D25
1471.88 0.007
226.25 B-6090
Mtump 78 12
1.19E+09 1,490,246,250
1,427,490,000 Berflens
Mlap 78 6.49E+08
811,592,500 1,427,490,000
Persegi 0.076
ok 3D25 1471.88
0.034 1078.8
B-6095 Mtump 103
10 1.41E+09
1,759,722,500 1,519,290,000
Berflens Mlap 103
7.44E+08 929,911,250
1,519,290,000 Persegi
0.077 ok 3D25
1471.88 0.038
1275.2 B-6095
Mtump 76 12
1.99E+09 2,491,176,250
1,519,290,000 Berflens
Mlap 76 1.06E+09
1,325,430,000 1,519,290,000
Persegi 0.110
ok 3D25 1471.88
0.072 2454.1
BA4060 Mtump 59
3.425 62425000 78,031,250 594,252,000 Persegi
0.026 ok 3D13 398.00 0.000 -0.619
Mlap 59 1.26E+08
157,175,000 594,252,000
Persegi 0.052
ok 3D13 398.00
0.026 366.93
BA4060 Mtump 82
3 30337000 37,921,250 594,252,000 Persegi
0.012 ok 3D13 398.00 -0.013 -183.2
Mlap 82 1.39E+08
173,305,000 594,252,000
Persegi 0.057
ok 3D13 398.00
0.032 443.07
BA4060 Mtump 61
3.575 2.1E+08 262,513,750 594,252,000 Persegi
0.086 ok 3D13 398.00 0.063 872.2
Mlap 61 1.05E+08
131,257,500 594,252,000
Persegi 0.043
ok 3D13 398.00
0.018 245.48
BA4060 Mtump 84
4.925 2.25E+08 280,655,000 594,252,000 Persegi 0.092
ok 3D13 398.00 0.069 961.21
Mlap 84 1.12E+08
140,327,500 594,252,000
Persegi 0.046
ok 3D13 398.00
0.021 287.86
BA-4060 Mtump 85
2.15 27300000 34,125,000 594,252,000 Persegi
0.011 ok 3D13 398.00 -0.014 -200.4
Mlap 85 1.14E+08
143,056,250 594,252,000
Persegi 0.047
ok 3D13 398.00
0.022 300.64
BA-3040 Mtump 10
3.425 28940000 36,175,000 262,089,000 Persegi
0.040 ok 2D13 265.33 0.006 38.394
Mlap 10 31104000
38,880,000 262,089,000
Persegi 0.043
ok 2D13 265.33
0.009 58.111
BA-3040 Mtump 11
3 6778000 8,472,500 262,089,000
Persegi 0.009 ok 2D13 265.33 -0.024
-160.2 Mlap 11
32898000 41,122,500
262,089,000 Persegi
0.045 ok 2D13
265.33 0.011
74.502 BA-3040
Mtump 12 3.575
66807000 83,508,750 262,089,000 Persegi 0.091 ok
2D13 265.33 0.059 392.44 Mlap 12
33403000 41,753,750
262,089,000 Persegi
0.046 ok 2D13
265.33 0.012
79.123 BA-3040
Mtump 13 4.925
72784000 90,980,000 262,089,000 Persegi 0.100 ok
2D13 265.33 0.068 450.18 Mlap 13
36392000 45,490,000
262,089,000 Persegi
0.050 ok 2D13
265.33 0.016
106.54 BA-3040
Mtump 33 2.15
8050000 10,062,500 262,089,000 Persegi 0.011 ok
2D13 265.33 -0.023 -149 Mlap 33
34061000 42,576,250
262,089,000 Persegi
0.047 ok 2D13
265.33 0.013
85.149 BS-3040
Mtump 79 2.15
4588000 5,735,000 262,089,000 Persegi
0.006 ok 2D13 265.33 -0.027 -179.5
Mlap 79 23733000
29,666,250 262,089,000
Persegi 0.032
ok 2D13 265.33
-0.001 -8.809
BS-3040 Mtump 68
2.2 6744000 8,430,000 262,089,000
Persegi 0.009 ok 2D13 265.33 -0.024
-160.5 Mlap 68
26076000 32,595,000
262,089,000 Persegi
0.036 ok 2D13
265.33 0.002
12.389 BS-3040
Mtump 80 1.248
6291000 7,863,750 262,089,000 Persegi
0.009 ok 2D13 265.33 -0.025 -164.5
Mlap 80 24009000
30,011,250 262,089,000
Persegi 0.033
ok 2D13 265.33
-0.001 -6.315
BD-3040 Mtump 48
4.175 9973000 12,466,250 262,089,000 Persegi
0.014 ok 2D13 265.33 -0.020 -132
Mlap 48 33645000
42,056,250 262,089,000
Persegi 0.046
ok 2D13 265.33
0.012 81.339
BD-3040 Mtump 56
2.3 80174000 100,217,500 262,089,000 Persegi 0.110
ok 2D13 265.33 0.079 522.33
Mlap 56 40087000
50,108,750 262,089,000
Persegi 0.055
ok 2D13 265.33
0.021 140.6
BD-3040 Mtump 97
4.925 87847000 109,808,750 262,089,000 Persegi 0.120
ok 2D13 265.33 0.091 598.16
Mlap 97 43923000
54,903,750 262,089,000
Persegi 0.060
ok 2D13 265.33
0.027 176.15
BD-3040 Mtump 94
4.575 51123000 63,903,750 262,089,000 Persegi
0.070 ok 2D13 265.33 0.037 243.41
Mlap 94 43693000
54,616,250 262,089,000
Persegi 0.060
ok 2D13 265.33
0.026 174.01
Tugas Akhir
Perencanaan Struktur Gedung Apartemen Permata Berlian Jakarta
Nur Khozin Saryono Andi Darmawan
L2A 305 027 L2A 305 034
Frame As1
As tul Tarik terpasang Cheking tulangan
As=As2+As1 Tul
tarik As terp
persegi dd
ddmax ddmax
ρ1 ρ
ρ1ρ mm2 mm2
mm2 ρmin
ρ ρmax
ρminρρmax dd
28 1867.4 3339.234
7D25 3434.38 0.004 0.0068 0.0244 ok
0.075 0.237 ok
0.004 0.012 ok 28 226.25
1698.122 4D25 1962.50 0.004 0.0039 0.0244
ok 0.075 0.237
ok 0.001 0.012 ok
78 78 1078.8
2550.670 6D25 2943.75 0.004 0.0059 0.0244
ok 0.075 0.237
ok 0.003 0.012 ok
103 103 1275.2
2747.073 6D25 2943.75 0.004 0.0055 0.0244
ok 0.070 0.237
ok 0.003 0.011 ok
76 76 2454.1
3925.964 8D25 3928.57 0.004 0.0074 0.0244
ok 0.070 0.237
ok 0.005 0.011 ok
59 -0.619
397.376 6D13 795.99 0.004 0.0036 0.0244
ok 0.100 0.237
ok 0.002 0.016 ok
59 366.93 764.928
6D13 795.99 0.004 0.0036 0.0244 ok
0.100 0.237 ok
0.002 0.016 ok 82
-183.2 214.761
6D13 795.99 0.004 0.0036 0.0244 ok
0.100 0.237 ok
0.002 0.016 ok 82 443.07
841.068 7D13 928.66 0.004 0.0043 0.0244
ok 0.100 0.237
ok 0.002 0.016 ok
61 872.2
1270.195 10D13 1326.65 0.004 0.0061 0.0244
ok 0.100 0.237
ok 0.004 0.016 ok
61 245.48 643.476
6D13 795.99 0.004 0.0036 0.0244 ok
0.100 0.237 ok
0.002 0.016 ok 84 961.21
1359.201 11D13 1459.32 0.004 0.0067 0.0244
ok 0.100 0.237
ok 0.005 0.016 ok
84 287.86 685.856
6D13 795.99 0.004 0.0036 0.0244 ok
0.100 0.237 ok
0.002 0.016 ok 85
-200.4 197.600
6D13 795.99 0.004 0.0036 0.0244 ok
0.100 0.237 ok
0.002 0.016 ok 85 300.64
698.632 6D13 795.99 0.004 0.0036 0.0244
ok 0.100 0.237
ok 0.002 0.016 ok
10 38.394 303.724
3D13 398.00 0.004 0.0038 0.0244 ok
0.158 0.237 ok
0.001 0.026 ok 10 58.111
323.441 3D13 398.00 0.004 0.0038 0.0244
ok 0.158 0.237
ok 0.001 0.026 ok
11 -160.2
105.103 3D13 398.00 0.004 0.0038 0.0244
ok 0.158 0.237
ok 0.001 0.026 ok
11 74.502 339.832
3D13 398.00 0.004 0.0038 0.0244 ok
0.158 0.237 ok
0.001 0.026 ok 12 392.44
657.768 5D13 663.33 0.004 0.0064 0.0244
ok 0.158 0.237
ok 0.004 0.026 ok
12 79.123 344.453
3D13 398.00 0.004 0.0038 0.0244 ok
0.158 0.237 ok
0.001 0.026 ok 13 450.18
715.510 6D13 795.99 0.004 0.0077 0.0244
ok 0.158 0.237
ok 0.005 0.026 ok
13 106.54 371.873
3D13 398.00 0.004 0.0038 0.0244 ok
0.158 0.237 ok
0.001 0.026 ok 33
-149 116.345
3D13 398.00 0.004 0.0038 0.0244 ok
0.158 0.237 ok
0.001 0.026 ok 33 85.149
350.479 3D13 398.00 0.004 0.0038 0.0244
ok 0.158 0.237
ok 0.001 0.026 ok
79 -179.5
85.791 3D13 398.00 0.004 0.0038 0.0244
ok 0.158 0.237
ok 0.001 0.026 ok
79 -8.809
256.521 3D13 398.00 0.004 0.0038 0.0244
ok 0.158 0.237
ok 0.001 0.026 ok
68 -160.5
104.802 3D13 398.00 0.004 0.0038 0.0244
ok 0.158 0.237
ok 0.001 0.026 ok
68 12.389 277.719
3D13 398.00 0.004 0.0038 0.0244 ok
0.158 0.237 ok
0.001 0.026 ok 80
-164.5 100.803
3D13 398.00 0.004 0.0038 0.0244 ok
0.158 0.237 ok
0.001 0.026 ok 80
-6.315 259.015
3D13 398.00 0.004 0.0038 0.0244 ok
0.158 0.237 ok
0.001 0.026 ok 48
-132 133.376
3D13 398.00 0.004 0.0038 0.0244 ok
0.158 0.237 ok
0.001 0.026 ok 48 81.339
346.669 3D13 398.00 0.004 0.0038 0.0244
ok 0.158 0.237
ok 0.001 0.026 ok
56 522.33 787.662
6D13 795.99 0.004 0.0077 0.0244 ok
0.158 0.237 ok
0.005 0.026 ok 56
140.6 405.931
4D13 530.66 0.004 0.0051 0.0244 ok
0.158 0.237 ok
0.003 0.026 ok 97 598.16
863.492 7D13 928.66 0.004 0.0090 0.0244
ok 0.158 0.237
ok 0.006 0.026 ok
97 176.15 441.479
4D13 530.66 0.004 0.0051 0.0244 ok
0.158 0.237 ok
0.003 0.026 ok 94 243.41
508.738 4D13 530.66 0.004 0.0051 0.0244
ok 0.158 0.237
ok 0.003 0.026 ok
94 174.01 439.342
4D13 530.66 0.004 0.0051 0.0244 ok
0.158 0.237 ok
0.003 0.026 ok
Tugas Akhir
Perencanaan Struktur Gedung Apartemen Permata Berlian Jakarta
Nur Khozin Saryono Andi Darmawan
L2A 305 027 L2A 305 034
Lantai TIPE
Momen Frame
L Mu cek bagian beton tertekan
K Cek
Tul tekan
As=As2 F As1 Mn=A B
Persegi KKmax m
Mu Nmm
Nmm Nmm mm2
mm2 Lt.
1 B-6090
Mtump 290 10
1.4E+09 1,749,893,750 1,427,490,000 Berflens Mlap
290 7.79E+08 973,901,250 1,427,490,000 Persegi 0.091 ok
3D25 1471.88 0.049 1584.3 B-6090
Mtump 238 12
1.4E+09 1,745,802,500 1,427,490,000 Berflens Mlap
238 6.98E+08 872,901,250 1,427,490,000 Persegi 0.081 ok
3D25 1471.88 0.040 1268.8 B-6095
Mtump 287 10 1.72E+09 2,145,722,500 1,519,290,000 Berflens
Mlap 287
8.58E+08 1,072,861,250 1,519,290,000 Persegi 0.089 ok 3D25 1471.88 0.050 1696.3
B-6095 Mtump 239
12 1.9E+09 2,375,375,250 1,519,290,000 Berflens
Mlap 239
8.6E+08 1,075,188,750 1,519,290,000 Persegi 0.089 ok 3D25 1471.88 0.050 1703.2
BA4060 Mtump
243 3.425
1.94E+08 242,733,750
594,252,000 Persegi
0.080 ok
3D13 398.00
0.056 775.84
Mlap 243 97093000 121,366,250 594,252,000 Persegi 0.040 ok
3D13 398.00 0.014 199.41 BA4060
Mtump 244
3 37098000
46,372,500 594,252,000
Persegi 0.015
ok 3D13
398.00 -0.010
-145 Mlap
244 1.45E+08
181,085,000 594,252,000
Persegi 0.060
ok 3D13
398.00 0.035
479.95 BA4060
Mtump 245
3.575 2.73E+08
340,898,750 594,252,000
Persegi 0.112
ok 3D13
398.00 0.091
1261.3 Mlap
245 1.36E+08
170,448,750 594,252,000
Persegi 0.056
ok 3D13
398.00 0.031
429.56 BA4060
Mtump 246
4.925 2.37E+08
296,378,750 594,252,000
Persegi 0.098
ok 3D13
398.00 0.075
1038.8 Mlap
246 1.19E+08
148,188,750 594,252,000
Persegi 0.049
ok 3D13
398.00 0.023
324.7 BA-4060
Mtump 247
2.15 24507000