126
4
.
3.4 Perhitungan Tulangan Balok
Setelah melakukan perhitungan mekanika akan didapatkan momen lentur, momen torsi dan gaya lintang, momen lentur ini akan digunakan
untuk mendesain tulangan lentur balok induk. Tulangan lentur didesain berdasarkan momen lentur terbesar. Sedangkan tulangan sengkang didesain
berdasarkan kombinasi gaya lintang dan momen torsi yang menghasilkan luas tulangan sengkang terbesar.
Berikut disajikan momen terbesar masing-masing balok pada daerah tumpuan dan lapangan:
Tabel 4. 25 Momen pada balok portal
GEDUNG 1 :
Lantai balok
Momen frame
tumpuan lapangan
Torsi Gaya
Lintang Kgm
Kgm Kgm
Kg Lantai
Atap BA X
953 7844,84 7671,97
77,35 7438,79 BI X
955 28073,68 22547,31
642,15 16612,51 BA Y
1004 5056,25 10511,76
85,44 8136,89 BI Y
986 19842,97 29635,16
1200,26 16939,31 BTEPI 1019
11287,97 8628,09 1508,77 8739,35
lantai 8 BA X
855 10171,22 14513,93
161,08 14362,06 BI X
850 38389,94
33674,23 1358,77 28646,30
BA Y 897
10866,61 17845,94
136,79 13503,30 BI Y
881 37480,52 48146,44
2701,31 28614,72 BTEPI 918
21009,13 20602,45 5518,62 10208,73
lantai 7 BA X
743 10092,09 7126,36
277,86 9108,59 BI X
757 46310,26 24268,17
2399,91 22506,65 BA Y
812 15611,50 728,10
225,41 8159,08 BI Y
774 30377,16 59528,42
1906,49 27988,43 BTEPI 801
1444,52 7987,09 399,5 6136,83
lantai 6 BA X
638 10105,56 7628,41
322,22 9134,04 BI X
652 50750,68 24283,01
2773,75 23805,50 BA Y
685 6751,89 15805,60
284,80 10624,08 BI Y
669 30369,29 66393,47
2376,07 29634,99 BTEPI 696
1522,32 8405,09 391,98 6250,85
lantai 5 BA X
533 10571,61 6923,44
386,06 9073,58 BI X
535 56971,95 24231,72
3354,68 25227,30 BA Y
580 6804,15 16640,55
321,63 10672,90 BI Y
564 30336,27 71885,41
2847,65 31089,52 BTEPI 591
1637,48 8548,28 397,36 6619,44
lantai 4 BA X
426 24081,53 27128,74
416,69 27052,71 BI X
425 77696,67 71736,74
5075,53 55680,96 BA Y
470 17740,12 38242,63
324,81 29538,85 BI Y
454 53188,31 76470,36
6159,15 42989,55 BTEPI 498
8987,89 9546,25 4598,38 6125,56
127
Lantai balok
Momen frame
tumpuan lapangan
Torsi Gaya
Lintang Kgm
Kgm Kgm
Kg lantai 3
BA X 267
11125,10 13475,97 73,16 11803,52
BI X 268
53997,37 68374,86 146,53 33635,92
BA Y 334
6644,37 18202,49 410,26 10688,11
BI Y 326
31706,57 80951,19 3533,58 34329,31
BTEPI 358 1889,59
9794,5 437,64 7447,84
lantai 2 BA X
148 12625,44 10637,84
21,15 11072,85 BI X
136 54944,52 65491,55
91,85 32044,75 BA Y
202 6391,46 17321,70
408,65 10423,87 BI Y
194 30350,61 77038,51
3246,27 32457,91 BTEPI 226
1741,79 8839,22 384,73 6394,26
lantai 1 BA X
2 9269,52 11923,08
15,80 10970,54 BI X
3 50225,34 56340,74
83,86 16430,51 BA Y
69 6646,15 14282,22
278,31 10457,47 BI Y
53 30429,60 69904,85
2921,58 30643,62 BTEPI 93
1601,52 8303,9 383,25
6549,98 lantai
basement BA X
1254 26458,81 17663,76
262,27 23086,56 BI X
1257 69601,45 56734,81
3326,67 47125,04 BA Y
1319 1878,49
36617,25 43,84 21336,37
BI Y 1293
80404,83 62371,35 5474,54 49893,83
BTEPI 1313 3115,66 15419,42
842,14 13720,64
Gedung 2 :
Lantai balok
Momen frame
tumpuan lapangan
Torsi Gaya
Lintang Kgm
Kgm Kgm
Kg Lantai
Atap BA X
961 7161,52
12813,68 99,88
9125,30 BI X
964 29501,51
23677,82 2300,69
17770,25 BA Y
989 9207,35
7030,26 63,14
8211,19 BI Y
977 38097,82
29959,11 835,46
17270,61 BTEPI 1006 7161,52 18663,1
2926,98 9980,6 lantai 8
BA X 825
9691,11 18555,65
159,03 13632,97
BI X 852
42208,86 27482,73
3094,06 21992,47
BA Y 885
13344,61 10943,05
234,63 12261,82
BI Y 865
56708,67 39228,94
1765,47 29974,49
BTEPI 894 16851,05 33051,36 3408,69 17264,82 lantai 7
BA X 715
10953,69 21079,50
248,68 15955,75
BI X 740
43304,89 35134,57
4511,31 24377,62
BA Y 772
11940,72 16209,21
204,64 14918,36
BI Y 753
64076,73 44229,13
1740,85 28983,91
BTEPI 782 16790,86 38197,3 3506,91 18569,15 lantai 6
BA X 603
11195,29 21086,77
278,95 15949,92
BI X 628
58325,78 34160,16
3688,36 24289,08
BA Y 660
12259,53 16308,09
252,52 14939,05
BI Y 648
44650,43 66342,40
2215,47 33055,30
BTEPI 670 16837,12 42932,3 3851,32 19816,79
128
Lantai balok
Momen frame
tumpuan lapangan
Torsi Gaya
Lintang Kgm
Kgm Kgm
Kg lantai 5
BA X 491
10915,72 21156,73
317,69 15965,56
BI X 516
66679,59 34804,72
3100,53 26373,67
BA Y 548
11697,33 16494,75
331,99 12877,64
BI Y 529
71507,21 43072,50
2556,55 28925,76
BTEPI 558 16278,41 46701,74 4340,34 20694,77 lantai 4
BA X 388
10236,72 21765,60
457,41 15590,05
BI X 391
78099,28 39296,61
3961,49 29725,74
BA Y 435
13399,79 19855,28
870,87 16064,33
BI Y 404
76954,71 42693,50
3704,22 32798,49
BTEPI 432 16111,76
52325,9 4993,92 21969,66
lantai 3 BA X
263 11091,34
23718,68 569,97
16891,00 BI X
265 37406,29
84043,18 7718,28
34585,12 BA Y
310 14340,40
19337,28 990,54
16720,72 BI Y
278 45952,34
83043,22 4140,71
38165,77 BTEPI 307 18075,78 58459,8 5221,16 24337,67
lantai 2 BA X
151 10533,66
22462,93 537,82
15874,13 BI X
153 35391,86
82114,74 7423,26
28458,28 BA Y
198 13348,89
17818,85 927,42
15639,91 BI Y
168 80195,81
72384,92 1026,40
50634,38 BTEPI 196 18865,86 56314,9 5145,86 23114,71
lantai 1 BA X
39 10550,23
22658,76 460,68
15934,81 BI X
41 35674,91
76022,30 6626,32
32141,15 BA Y
86 13398,39
71640,53 847,12
15719,96 BI Y
54 71640,53
71640,53 3498,24
34039,31 BTEPI 84 17017,77 50639,2 4942,94 21773,88
lantai basement
BA X 1073
28244,13 53885,13
2192,79 38011,97
BI X 1075
80340,18 116228,55
6316,50 68451,46
BA Y 1126
51770,23 9564,72
3582,89 18776,56
BI Y 1088
97832,79 120105,35
1563,14 72891,92
BTEPI 1086 29644,98 52174,1 12785,54 36131,45
4.3.4.1Perhitungan Tulangan Lentur Balok a. Langkah-Langkah Perhitungan Penulangan Balok Anak:
Data-data untuk perhitungan :
• f’c = 25 Mpa
• fy = 400 Mpa
• Rl = 0.85 f’c = 21,25 MPa
• ρ min = 1.4 fy = 0.0035
129 • ρ max = β1 . [ 450 600 + fy ] . Rl fy = 0.0203
• Fmax = β1 . 450 600 + fy = 0.3825
• Kmax = Fmax . { 1- Fmax 2} = 0.3825 . {1-{0.3825 2} = 0.3093 • h
= 400 mm tinggi balok • b
= 300 mm lebar balok • hf
= 120 mm tebal plat • p
= 40 mm tebal selimut beton • ∅
tul. tekan = 22 mm ; ∅ tul. tarik = 22 mm ; ∅ sengkang = 10 mm
• d = h – P –12
∅ tul. - ∅ sengkang tinggi efektif • d’
= P + ∅ sengkang + ½ ∅ tulangan
• Besarnya gaya-gaya dalam yang terjadi didapat dari perhitungan di atas M
lapangan
= …… kgm momen lapangan M
tumpuan
= …… kgm momen tumpuan V
= …… kg gaya geser T
= …… kgm momen torsi bila ada
b. Langkah-Langkah Perhitungan Tulangan Lentur Balok Anak :
Cek bagian beton tertekan : A = Mn = Mu
φ B = Rl.b.hf d – hf 2
A B Æ dihitung sebagai penampang persegi
A B Æ dihitung sebagai penampang berflens
Tulangan Ganda Double • Mu
= …….. momen lapangan tumpuan • Mn
= Mu φ φ = 0.8
• K = Mn b . d
2
. Rl K Kmax Æ Sebetulnya cukup dengan tulangan single
K Kmax Æ Memang dibutuhkan tulangan tekan tulangan double • Dicoba tulangan tekan Æ As2 = As’= …. mm2
• M
2
= As
2
. fy . d - d’ • M
1
= M - M2
130 • Jika M
1
≤ 0 , maka As’ dianggap = 0, perhitungan penampang tulangan single
• Jika M1 ≥ 0 , maka As’ diperhitungkan • K =
M
1
b . d
2
. Rl • F
= 1 - K
. 2
1 −
• As1 = F . b . d . Rl fy • As
= As1 2+ As2 = …. mm2 As = luas penampang tulangan tarik • Cek Tulangan :
ρ = As b.d ρ min
d’ d d’ dmax = 1 – fy600.Fmax β… SI
ρ
1
= As
terpasang
– As’ b . d ρmax tulangan single
ρ’ = β
1
. Rl fy d’ d . 600 600 - fy ρ
1
ρ’ Æ pengaruh tulangan tekan diabaikan dlm menghitung kapasitas penampang
ρ
1
ρ’ Æ pengaruh tulangan tekan diperhitungkan.
Tulangan Tunggal Single • Mu = …….. momen lapangan tumpuan
• Mn = Mu
φ φ = 0,8 • K
= Mn b . d2 . Rl • F
= 1 - K
. 2
1 −
jika F Fmax, maka digunakan tulangan double jika F
≤ Fmax, maka digunakan tulangan single • As
= F . b . d . Rl fy Æ As
terpasang
=.... mm
2
• As
terpasang
= luas penampang tulangan • Cek Tulangan :
ρ
max
= β1 . [ 450 600 + fy ] . Rl fy
ρ
min
= 1.4 fy ρ = As terpasang b . d = ….. [ ρ
min
≤ ρ ≤ ρ
max
]
131
4.3.4.2Perhitungan Tulangan Geser Balok Langkah-Langkah Perhitungan Tulangan Geser Balok Anak :
• V = Vu = …….. gaya lintang
• Vn = Vu
φ φ = 0,75 • φ .Vc = φ . 16 . √ f’c . b . d
• Vu φ .Vc 2 Æ tidak perlu tulangan geser Æ dipakai tul. praktis
Vu φ .Vc 2 Æ perlu tulangan geser
• Cek Penampang : φ Vs max
= 0.6 x 23 x √ f’c x b x d
φ Vs = Vu -
φ Vc φ Vs φ Vs max ……..OK
• Jika Vu φ .Vc Æ perlu tulangan geser minimum Av = b . s 3 . fy
s = ……. d2 , dengan s = jarak antar tulangan geser dalam arah
memanjang mm • Jika Vu φ .Vc Æ perlu tulangan geser
s = Vc
Vn Av.d.fy
, dengan Av = luas penampang 2 kaki tulangan geser mm
2
Syarat : s d 4 pada daerah sendi plastis Æ y = d
s d 2 pada daerah di luar sendi plastis Æ y = 2h
4.3.4.3Perhitungan Tulangan Geser Balok Langkah-Langkah Perhitungan Tulangan Torsi Balok Anak :
Kombinasi Geser Lentur Torsi
3 . hf 3 . hf
3 . hf 3 . hf hf mm
h
b
132 • Tn
= Tu 0.75 = …… momen torsi • Vu
= …… gaya lintang • Σ x
2
y = b
2
. h + hf
2
. 3 . hf = …… mm
3
• ct = b.d
Σ x
2
y • x
1
= b – 2p - ∅
sengkang
• Y
1
= h – 2p - ∅
sengkang
• αt = at = 0.66 + 0.33 . Y
1
x
1
• Tc =
VuTu} .
ct2 0.4
{1 .
. 15
2
+ +
∑ y
x c
f • Ts
= Tn – Tc • At s = Th-Tc αt . x
1
. y
1
. fy • A
1
= 2 At . X
1
+ Y
1
s A
1
= luas penampang tulangan torsi
Contoh Perhitungan Penulangan Balok Anak Ba1Ki frame 937 : Data-data untuk perhitungan :
• f’c = 25 Mpa
• fy = 400 Mpa
• Rl = 0.85 f’c = 21,25 MPa
• ρ min = 1.4 fy = 0.0035 • ρ max = β1 . [ 450 600 + fy ] . Rl fy = 0.0203
• Fmax = β1 . 450 600 + fy = 0.3825 • Kmax = Fmax . { 1- Fmax 2} = 0.3825 . {1-{0.3825 2} = 0.3093
• h
= 400 mm tinggi balok
• b = 300 mm lebar balok
• hf = 120 mm tebal plat
• p = 40 mm tebal selimut beton
• ∅
tul. tekan
= 22 mm ; ∅
tul. tarik
= 22 mm ; ∅
sengkang
= 10 mm • d
= h – P –12 ∅
tul.
- ∅
sengkang
tinggi efektif = 400 – 40 – ½.22 – 10 = 339 mm
• d’ = P +
∅
sengkang
+ ½ ∅
tulangan
= 40 + 10 + ½.22 = 61 mm
133 Dari Perhitungan perataan beban eqivalen didapat :
M
tumpuan
= 7844,84 kgm = 78448400 Nmm M
lapangan
= 7671,97 kgm = 76719700 Nmm V
= 7438,79 kg = 74387900 Nmm T
= 77,5 kg.m
• Tulangan Tumpuan
M
tumpuan
= 78448400 Nmm Mn = Mu
φ = Mu 0,8 = 78448400 0,8 = 95.899.625 Nmm
Cek bagian beton tertekan : A = Mn = 95.899.625 Nmm
B = Rl . b . hf. d – hf2 = 0.85 × 25 × 300 × 120 339 – 1202 = 213.435.000 Nmm
A B Æ dihitung penampang persegi
K = Mn b . d
2
. Rl = 213.435.000 300 × 339
2
× 0,85 × 25 = 0,131
K Kmax Æ 0,131 0,3093 Sebetulnya cukup dengan tulangan single saja
Namun dipakai tulangan tekan 2 ∅ 22 As’=As = 760 mm
2
M
2
= As
2
. fy . d - d’ = 760 × 400 × 339 – 61
= 84512000 Nmm M
1
= M - M
2
= 213.435.000 – 84.512.000 = 11.387.625 Nmm
K = M1 b . d
2
. Rl = 11.387.625 300 × 339
2
× 0.85 × 25 = 0,016
F 1= 1 -
K .
2 1
− = 1-
√ 1- 2 × 0,016 = 0,016
134 As
1
= F . b . d . Rl fy = 0.0515 × 300 × 339 × 0.85 × 25 400
= 84,643 mm
2
As = As
1
+ As
2
= 84,643 + 760 = 844,643 mm
2
dipakai tulangan tarik 3 ∅ 22
As terpasang = 1140 mm
2
Cek Tulangan :
ρ = As b.d
= 1140 300 x 339 = 0,011
ρ ρ
min
0,011 0.0035 …OK d’ d = 61 339 = 0,180Æ d’ d d’ dmax 0.18 0.2372 ….OK
ρ
1
= As terpasang – As’ b.d = 1140 – 760 300 × 339 = 0,004 Æ
ρ
1
ρ
max
0,004 0.0244 ρ’
= β1. Rl fy d’ d . 600 600 - fy
= 0.85 × 25.5 400 × 0.18 × 600 600 - 400 =
0,024 ρ
1
ρ’ Æ pengaruh tulangan tekan diabaikan dalam menghitung kapasitas penampang dihitung sebagai tulangan single .
• Tulangan Lapangan
M
lapangan
= 7671,97 kgm Mn = Mu
φ = Mu 0.8 = 76719700 0.8 = 98.060.500 Nmm Cek bagian beton tertekan :
A = Mn = 98.060.500 Nmm B = Rl . b . hf. d – hf2 = 0.85 × 25 × 300 × 120 339 – 1202 =
213.435.000 Nmm
A B Æ dihitung penampang persegi
K = Mn b . d
2
. Rl = 98.060.500 300 × 339
2
× 0.85 × 25 = 0,134
135 K Kmax Æ 0,134 0.3093 Sebetulnya cukup dengan tulangan single
saja
Namun dipakai tulangan tekan 2 ∅ 22 As’=As = 760 cm
2
M
2
= As
2
. fy . d-d’ = 760 × 400 × 339 – 61
= 84512000 Nmm M
1
= M
- M
2
= 98.060.500 – 84512000 = 13548500 Nmm
K = M1 b . d
2
. Rl = 13548500 300 × 339
2
× 0.85 × 25 = 0,018
F 1= 1 -
K .
2 1
− = 1-
√ 1- 2 × 0,018 = 0,019
As
1
= F . b . d . Rl fy = 0,019 × 300 × 339 × 0.85 × 25 400
=
100,857
mm
2
As = As
1
+ As
2
=
100,857
+ 760 = 860,857 mm
2
dipakai tulangan tarik 3 ∅ 22
As terpasang = 1140 mm
2
Cek Tulangan :
ρ = As b.d
= 1140 30 x 33.9 = 0,011
ρ ρ
min
0,011 0.0035 …OK
136
• Tulangan Geser
V max = Vu = 7438,79 kg = 74387,9 N
V max
d 2h
Vmin L = 3.5 m
Pada Daerah Sendi Plastis y= d = 339 mm
Vu terpakai = 3500 – 339 3500 x 74387,9
= 67182,901 N Vn = Vu
φ = 67182,901 0.6 = 111971,501 N φ .Vc = φ . 16 √ f’c . b . d
= 0.6 x 16 x √ 25 x 300 x 339 = 51867 N
Vu φ .Vc Æ perlu tulangan geser
φ Vs = Vu - φ Vc = 67182,901 – 51867
= 15316 N φ .Vs max
= 0.6 . 23 √ f’c . b . d
= 0.6 x 23 x √ 25 x 300 x 339
= 203400 N φ Vs φ Vs max ….OK penampang cukup
direncanakan menggunakan sengkang ∅ 10 mm Av= 157 mm
2
s = Av . d . fy Vn -
φ.Vc = 157 x 339 x 400 108055 – 55703 = 834 mm
s = 834 mm d4 = 339 4 = 84.75 mm dipakai sengkang tulangan
∅ 10 – 150
Pada Daerah Di Luar Sendi Plastis y= 2 h = 800 mm
Vu terpakai = 3500 – 800 3500 x 74387,9
137 = 57384,951 N
Vn = Vu φ = 57384,951 0.6 = 95641,586 N
φ .Vc = φ . 16 √ f’c . b . d = 0.6 x 16 x
√ 25 x 300 x 339 = 51867 N Vu
φ .Vc Æ perlu tulangan geser φ Vs = Vu - φ Vc
= 57384,951 – 51867 = 5518 N
φ .Vs max = 0.6 . 23
√ f’c . b . d = 0.6 x 23 x
√ 25 x 300 x 339 = 203400 N
φ Vs φ Vs max ….OK penampang cukup direncanakan menggunakan sengkang
∅ 10 mm Av= 157 mm
2
s = Av . d . fy Vn -
φ.Vc = 157 x 339 x 400 95641,586 – 51867 = 2315 mm
s = 2315 mm d2 = 339 4 = 84,75 mm dipakai sengkang tulangan
∅ 10 – 150
• Tulangan Kombinasi Geser Lentur dan Torsi
Vu = 7438,79 kg = 74387,9 N Tu = 77,35 kgm = 773500 Nmm
3 . 120 mm
120 mm 400 mm
300 mm Tn
= Tu 0.6 = 773500 0.6 = 1289166,67 Nmm Σ x
2
y = 300
2
x 400 + 120
2
x 3 x 120 = 41184000 mm
2
138 ct
= b.d Σ x
2
y = 300 x 339 41184000 = 0.00247
x
1
= b – 2p - ∅ sengkang = 300 – 80 – 10 = 210 mm
Y
1
= h – 2p - ∅ sengkang = 400 – 80 – 10 = 310 mm
αt = at = 0.66 + 0.33 . Y
1
x
1
= 0.66 + 0.33 x 310 210 = 1.159 √f’c 15 . Σ x
2
y Tc =
--------------------------------------- √ 1 + 0.4 + ct
2
. Vu Tu √30 15 . 41184000
= -------------------------------------------------------
√ 1 + 0.4 + 0.00247
2
x 74387,9 773500 =
879437,025 mm
Ts = Tn – Tc
= 1289166,67 – 879437,025 = 151896,308 N.mm
At s = Tn - Tc αt . x
1
. y
1
. fy = 151896,308 1.159 x 210 x 310 x 400 = 2,362
A
1
= 2 At . X
1
+ Y
1
s = 2 x 0,449 x 210 + 310 = 14,22 mm
2
digunakan tulangan torsi 2 ∅ 16 As = 402 mm
2
200 400
2 Ø 22 3 Ø 22
2 Ø 16 Ø 10 - 200
Gambar 4. 34 Penulangan Balok
140
Tabel 4. 26 Tulangan Lapangan Gedung 1 Penampang Biasa
Lantai
TIPE Tulangan Lapangan
Mn=A Lap b
h d
d B
Persegi K
K max Frame
Momen Lapangan kgm
Mu Nmm Nmm
mm mm
mm mm
Nmm
Lantai Atap
BA X 953
7671.97 76719700 95,899,625
300 400 339 61 213,435,000 ok 0.131 0.3093 BI X
955 22547.31
225473100 281,841,375 400 600 539 61 488,580,000 ok 0.114 0.3093
BA Y 1004
10511.76 105117600 131,397,000
300 400 339 61 213,435,000 ok 0.179 0.3093 BI Y
986 29635.16
296351600 370,439,500 400 600 539 61 488,580,000 ok 0.150 0.3093
BTEPI 1019
8628.09 86280900 107,851,125
200 300 239 61 91,290,000 berflens Lantai 8
BA X 855
14513.93 145139300 181,424,125
300 400 339 61 213,435,000 ok 0.248 0.3093 BI X
850 33674.23
336742300 420,927,875 400 600 539 61 488,580,000 ok 0.170 0.3093
BA Y 897
17845.94 178459400 223,074,250
300 400 339 61 213,435,000 berflens BI Y
881 48146.44
481464400 601,830,500 400 600 539 61 488,580,000 berflens
BTEPI 918
20602.45 206024500 257,530,625
200 300 239 61 91,290,000 berflens Lantai 7
BA X 743
7126.36 71263600 89,079,500
300 400 339 61 213,435,000 ok 0.122 0.3093 BI X
757 24268.17
242681700 303,352,125 400 600 539 61 488,580,000 ok 0.123 0.3093
BA Y 812
728.10 7281000 9,101,250
300 400 339 61 213,435,000 ok 0.012 0.3093 BI Y
774 59528.42
595284200 744,105,250 400 600 539 61 488,580,000 berflens
BTEPI 801
7987.09 79870900 99,838,625
200 300 239 61 91,290,000 berflens Lantai 6
BA X 638
7628.41 76284100 95,355,125
300 400 339 61 213,435,000 ok 0.130 0.3093 BI X
652 24283.01
242830100 303,537,625 400 600 539 61 488,580,000 ok 0.123 0.3093
BA Y 685
15805.60 158056000 197,570,000
300 400 339 61 213,435,000 ok 0.270 0.3093 BI Y
669 66393.47
663934700 829,918,375 400 600 539 61 488,580,000 berflens
BTEPI 696
8405.09 84050900 105,063,625
200 300 239 61 91,290,000 berflens Lantai 5
BA X 533
6923.44 69234400 86,543,000
300 400 339 61 213,435,000 ok 0.118 0.3093 BI X
535 24231.72
242317200 302,896,500 400 600 539 61 488,580,000 ok 0.123 0.3093
BA Y 580
16640.55 166405500 208,006,875
300 400 339 61 213,435,000 ok 0.284 0.3093 BI Y
564 71885.41
718854100 898,567,625 400 600 539 61 488,580,000 berflens
BTEPI 591
8548.28 85482800 106,853,500
200 400 339 61 142,290,000 ok 0.219 0.3093 Lantai 4
BA X 426
27128.74 271287400 339,109,250
300 400 339 61 213,435,000 berflens BI X
425 71736.74
717367400 896,709,250 400 600 539 61 488,580,000 berflens
BA Y 470
38242.63 382426300 478,032,875
300 400 339 61 213,435,000 berflens
141
Lantai
TIPE Tulangan Lapangan
Mn=A Lap b
h d
d B
Persegi K
K max Frame
Momen Lapangan kgm
Mu Nmm Nmm
mm mm
mm mm
Nmm
BI Y 454
76470.36 764703600 955,879,500
400 600 539 61 488,580,000 berflens BTEPI
498 9546.25
95462500 119,328,125 200 400 339 61 142,290,000 ok 0.244 0.3093
Lantai 3 BA X
267 13475.97
134759700 168,449,625 300 400 339 61 213,435,000 ok 0.230 0.3093
BI X 268
68374.86 683748600 854,685,750
400 600 539 61 488,580,000 berflens BA Y
334 18202.49
182024900 227,531,125 300 400 339 61 213,435,000 berflens
BI Y 326
80951.19 809511900 1,011,889,875
400 600 539 61 488,580,000 berflens BTEPI
358 9794.5
97945000 122,431,250 200 300 239 61 91,290,000 berflens
Lantai 2 BA X
148 10637.84
106378400 132,973,000 300 400 339 61 213,435,000 berflens
BI X 136
65491.55 654915500 818,644,375
400 600 539 61 488,580,000 berflens BA Y
202 17321.70
173217000 216,521,250 300 400 339 61 213,435,000 berflens
BI Y 194
77038.51 770385100 962,981,375
400 600 539 61 488,580,000 berflens BTEPI
226 8839.22
88392200 110,490,250 200 300 239 61 91,290,000 berflens
Lantai 1 BA X
2 11923.08
119230800 149,038,500 300 400 339 61 213,435,000 ok 0.203 0.3093
BI X 3
56340.74 563407400 704,259,250
400 600 539 61 488,580,000 berflens BA Y
69 14282.22
142822200 178,527,750 300 400 339 61 213,435,000 ok 0.244 0.3093
BI Y 53
69904.85 699048500 873,810,625
400 600 539 61 488,580,000 berflens BTEPI
93 8303.9 83039000 103,798,750 200 300 239 61 91,290,000 berflens
Lantai Bsmnt
BA X 1254
17663.76 176637600 220,797,000
300 400 339 61 213,435,000 berflens BI X
1257 56734.81
567348100 709,185,125 400 600 539 61 488,580,000 berflens
BA Y 1319
36617.25 366172500 457,715,625
300 400 339 61 213,435,000 berflens BI Y
1293 62371.35
623713500 779,641,875 400 600 539 61 488,580,000 berflens
BTEPI 1313
15419.42 154194200 192,742,750
200 300 239 61 91,290,000 berflens
cek ABpersegi As coba
Cek KKmax Dipake Tul tekan
As=As2 M2
M1 K
F As1
As Tul Terpake
As tul tekan mm
mm2 Nmm
Nmm mm2
mm2 mm2
mm2 mm2
ok 2ø22 760
84512000 11,387,625
0.016 0.016
84.64255697 844.643
3ø22 1140
ok 2ø22 760
145312000 136529375
0.055 0.057
651.7991128 1411.799
4ø22 1521
ok 2ø22 760
84512000 46885000
0.064 0.066
357.5935283 1117.594
3ø22 1140
142
cek ABpersegi As coba
Cek KKmax Dipake Tul tekan
As=As2 M2
M1 K
F As1
As Tul Terpake
As tul tekan mm
mm2 Nmm
Nmm mm2
mm2 mm2
mm2 mm2
ok 2ø22 760
145312000 225127500
0.091 0.096
1096.694811 1856.695
5ø22 1901
ok 2ø22 760
84512000 96912125
0.132 0.142
769.4877813 1529.488
5ø22 1901
ok 2ø22 760
145312000 275615875
0.112 0.119
1358.988866 2118.989
6ø22 2661
ok 2ø22 760
84512000 4567500
0.006 0.006
33.78928773 793.789
3ø22 1140
ok 2ø22 760
145312000 158040125
0.064 0.066
758.1141712 1518.114
4ø22 1521
ok 2ø22 760
84512000 -
75,410,750 -0.103 -0.098 -530.119073
760.000 2ø22
760 ok 2ø22
760 84512000
10843125 0.015
0.015 80.56472423
840.565 3ø22
1140 ok 2ø22
760 145312000
158225625 0.064
0.066 759.0355856
1519.036 4ø22
1521 ok 2ø22
760 84512000
113058000 0.154
0.169 910.4775242
1670.478 5ø22
1901 ok 2ø22
760 84512000
2031000 0.003
0.003 14.99869497
774.999 3ø22
1140 ok 2ø22
760 145312000
157584500 0.064
0.066 755.8513308
1515.851 4ø22
1521 ok 2ø22
760 84512000
123494875 0.169
0.186 1004.018909
1764.019 5ø22
1901 ok 2ø22
760 84512000
22341500 0.046
0.047 168.7115422
760.000 2ø22
760
ok 2ø22 760
84512000 34816125
0.071 0.074
266.6243535 760.000
2ø22 760
ok 2ø22 760
84512000 83937625
0.115 0.122
659.2269977 1419.227
4ø22 1521
143
cek ABpersegi As coba
Cek KKmax Dipake Tul tekan
As=As2 M2
M1 K
F As1
As Tul Terpake
As tul tekan mm
mm2 Nmm
Nmm mm2
mm2 mm2
mm2 mm2
ok 2ø22 760
84512000 64526500
0.088 0.092
498.8929002 1258.893
4ø22 1521
ok 2ø22 760
84512000 94015750
0.128 0.138
744.6473213 1504.647
4ø22 1521
Cheking persegi
dd ddmax
ddmax dd ρ1
ρ ρ1ρ
ρmin ρ
ρmax ρminρρmax
tul tkn diabaikan
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.007 0.0203 ok
0.113 0.237 ok
0.004 0.015 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.009 0.0203 ok
0.113 0.237 ok
0.005 0.015 ok
0.0035 0.019 0.0203 ok
0.180 0.237 ok
0.011 0.024 ok
144
Cheking persegi
dd ddmax
ddmax dd ρ1
ρ ρ1ρ
ρmin ρ
ρmax ρminρρmax
tul tkn diabaikan
0.0035 0.012 0.0203 ok
0.113 0.237 ok
0.009 0.015 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.007 0.0203 ok
0.113 0.237 ok
0.004 0.015 ok
0.0035 0.007 0.0203 ok
0.180 0.237 ok
0.000 0.024 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.007 0.0203 ok
0.113 0.237 ok
0.004 0.015 ok
0.0035 0.019 0.0203 ok
0.180 0.237 ok
0.011 0.024 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.007 0.0203 ok
0.113 0.237 ok
0.004 0.015 ok
0.0035 0.019 0.0203 ok
0.180 0.237 ok
0.011 0.024 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.000 0.024 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.000 0.024 ok
0.0035 0.015 0.0203 ok
0.180 0.237 ok
0.007 0.024 ok
145
Cheking persegi
dd ddmax
ddmax dd ρ1
ρ ρ1ρ
ρmin ρ
ρmax ρminρρmax
tul tkn diabaikan
0.0035 0.015 0.0203 ok
0.180 0.237 ok
0.007 0.024 ok
0.0035 0.015 0.0203 ok
0.180 0.237 ok
0.007 0.024 ok
Tabel 4. 27 Tulangan Lapangan Gedung 1 Penampang Berflens
TIPE Frame
Momen Lapangan Mn=A Lap
bw b
h d
d B
AB Fmax
kgm Mu Nmm
Nmm mm
mm mm
mm mm
Nmm berflens
BTEPI 1019
8628.09 86280900 107,851,125
200 920 300
239 61
91290000 Ok 0.3825 BA Y
897 17845.94
178459400 223,074,250 300 1020
400 339
61 213435000 Ok 0.3825
BI Y 881
48146.44 481464400 601,830,500
400 1120 600
539 61
488580000 Ok 0.3825 BTEPI
918 20602.45
206024500 257,530,625 200 920
300 239
61 91290000 Ok 0.3825
BI Y 774
59528.42 595284200 744,105,250
400 1120 600
539 61
488580000 Ok 0.3825 BTEPI
801 7987.09
79870900 99,838,625 200 920
300 239
61 91290000 Ok 0.3825
BI Y 669
66393.47 663934700 829,918,375
400 1120 600
539 61
488580000 Ok 0.3825 BTEPI
696 8405.09
84050900 105,063,625 200 920
300 239
61 91290000 Ok 0.3825
146
TIPE Frame
Momen Lapangan Mn=A Lap
bw b
h d
d B
AB Fmax
kgm Mu Nmm
Nmm mm
mm mm
mm mm
Nmm berflens
BI Y 564
71885.41 718854100 898,567,625
400 1120 600
539 61
488580000 Ok 0.3825 BA X
426 27128.74
271287400 339,109,250 300 1020
400 339
61 213435000 Ok 0.3825
BI X 425
71736.74 717367400 896,709,250
400 1120 600
539 61
488580000 Ok 0.3825 BA Y
470 38242.63
382426300 478,032,875 300 1020
400 339
61 213435000 Ok 0.3825
BI X 268
68374.86 683748600 854,685,750
400 1120 600
539 61
488580000 Ok 0.3825 BA Y
334 18202.49
182024900 227,531,125 300 1020
400 339
61 213435000 Ok 0.3825
BI Y 326
80951.19 809511900 1,011,889,875
400 1120 600
539 61
488580000 Ok 0.3825 BTEPI
358 9794.5
97945000 122,431,250 200 920
300 239
61 91290000 Ok 0.3825
BA Y 334
18202.49 182024900 227,531,125
300 1020 400
400 61
260100000 Ok 0.3825 BA X
148 10637.84
106378400 132,973,000 300 1020
400 339
61 213435000 Ok 0.3825
BI X 136
65491.55 654915500 818,644,375
400 1120 600
539 61
488580000 Ok 0.3825 BA Y
202 17321.70
173217000 216,521,250 300 1020
400 339
61 213435000 Ok 0.3825
BI Y 194
77038.51 770385100 962,981,375
400 1120 600
539 61
488580000 Ok 0.3825 BTEPI
226 8839.22
88392200 110,490,250 200 920
300 239
61 91290000 Ok 0.3825
BA Y 202
17321.70 173217000 216,521,250
300 1020 400
400 61
260100000 Ok 0.3825 BI X
3 56340.74
563407400 704,259,250 400 1120
600 539
61 488580000 Ok 0.3825
BI Y 53
69904.85 699048500 873,810,625
400 1120 600
539 61
488580000 Ok 0.3825 BTEPI
93 8303.9 83039000
103,798,750 200 920
300 239
61 91290000 Ok 0.3825
BA X 1254
17663.76 176637600 220,797,000
300 1020 400
339 61
213435000 Ok 0.3825 BI X
1257 56734.81
567348100 709,185,125 400 1120
600 539
61 488580000 Ok 0.3825
BA Y 1319
36617.25 366172500 457,715,625
300 1020 400
339 61
213435000 Ok 0.3825 BI Y
1293 62371.35
623713500 779,641,875 400 1120
600 539
61 488580000 Ok 0.3825
BTEPI 1313
15419.42 154194200 192,742,750
200 920 400
339 61
142290000 Ok 0.3825
K F
F As
tul terpsng As Terpsng
F Fmax mm2
ø
22 mm²
-0.909 -0.679 Ok 2865.803 8ø22 3039.52
-0.395 -0.338 Ok 2765.531 8ø22 3039.52
-0.112 -0.107 Ok 3367.598 9ø22 3419.46
-0.293 -0.259 Ok 3931.513 11ø22 4179.34
147
K F
F As
tul terpsng As Terpsng
F Fmax mm2
ø
22 mm²
-0.055 -0.053 Ok 3978.588 11ø22 4179.34
-0.943 -0.699 Ok 2816.173 8ø22 3039.52
-0.020 -0.020 Ok 4362.548 12ø22 4559.28
-0.921 -0.686 Ok 2848.472 8ø22 3039.52
0.008 0.008 Ok 4679.046 13ø22 4939.22 -0.236 -0.214 Ok 3436.361 10ø22
3799.4 0.007 0.007 Ok 4670.362 13ø22 4939.22
-0.047 -0.046 Ok 4343.336 12ø22 4559.28
-0.010 -0.010 Ok 4475.736 12ø22 4559.28
-0.389 -0.333 Ok 2790.144 8ø22 3039.52
0.054 0.055 Ok 5221.735 14ø22 5319.16 -0.849 -0.643 Ok 2957.627 8ø22
3039.52 -0.389 -0.333 Ok 2464.802 7ø22
2659.58 -0.518 -0.427 Ok 2284.795 7ø22
2659.58 -0.025 -0.024 Ok 4311.387 12ø22
4559.28 -0.404 -0.344 Ok 2729.494 8ø22
3039.52 0.034 0.034 Ok 4984.250 14ø22 5319.16
-0.899 -0.672 Ok 2882.277 8ø22 3039.52
-0.400 -0.341 Ok 2413.350 8ø22 3039.52
-0.071 -0.069 Ok 3804.397 11ø22 4179.34
-0.002 -0.002 Ok 4563.901 13ø22 4939.22
-0.926 -0.689 Ok 2840.631 8ø22 3039.52
-0.398 -0.340 Ok 2752.988 8ø22 3039.52
-0.069 -0.067 Ok 3825.796 11ø22 4179.34
-0.074 -0.072 Ok 4201.818 12ø22 4559.28
-0.040 -0.040 Ok 4136.090 11ø22 4179.34
-0.654 -0.519 Ok 2719.489 8ø22 3039.52
148 Tabel 4. 28 Tulangan Tumpuan Gedung 1 Penampang Biasa
Lantai TIPE
Tulangan Tumpuan Mn=A Lap
b h
d d
B Persegi
K K max
Frame Momen Tumpuan
kgm Mu Nmm
Nmm mm
mm mm
mm Nmm
Lantai Atap
BA X 953
7844.84 78448400 98,060,500
300 400 339 61 213,435,000 ok 0.134 0.3093 BI X
955 28073.68
280736800 350,921,000 400 600 539 61 488,580,000 ok 0.479 0.3093
BA Y 1004
5056.25 50562500 63,203,125
300 400 339 61 213,435,000 ok 0.086 0.3093 BI Y
986 19842.97
198429700 248,037,125 400 600 539 61 488,580,000 ok 0.339 0.3093
BTEPI 1019
11287.97 112879700 141,099,625
200 400 339 61 142,290,000 ok 0.193 0.3093 Lantai 8
BA X 855
10171.22 101712200 127,140,250
300 400 339 61 213,435,000 ok 0.174 0.3093 BI X
850 38389.94
383899400 479,874,250 400 600 539 61 488,580,000 ok 0.655 0.3093
BA Y 897
10866.61 108666100 135,832,625
300 400 339 61 213,435,000 ok 0.185 0.3093 BI Y
881 37480.52
374805200 468,506,500 400 600 539 61 488,580,000 ok 0.639 0.3093
BTEPI 918
21009.13 210091300 262,614,125
200 400 339 61 142,290,000 berflens Lantai 7
BA X 743
10092.09 100920900 126,151,125
300 400 339 61 213,435,000 ok 0.172 0.3093 BI X
757 46310.26
463102600 578,878,250 400 600 539 61 488,580,000 berflens
BA Y 812
15611.50 156115000 195,143,750
300 400 339 61 213,435,000 ok 0.266 0.3093 BI Y
774 30377.16
303771600 379,714,500 400 600 539 61 488,580,000 ok 0.518 0.3093
BTEPI 801
1444.52 14445200 18,056,500
200 400 339 61 142,290,000 ok 0.025 0.3093 Lantai 6
BA X 638
10105.56 101055600 126,319,500
300 400 339 61 213,435,000 ok 0.172 0.3093 BI X
652 50750.68
507506800 634,383,500 400 600 539 61 488,580,000 berflens
BA Y 685
6751.89 67518900 84,398,625
300 400 339 61 213,435,000 ok 0.115 0.3093 BI Y
669 30369.29
303692900 379,616,125 400 600 539 61 488,580,000 ok 0.518 0.3093
BTEPI 696
1522.32 15223200 19,029,000
200 300 239 61 91,290,000 ok 0.026 0.3093
Lantai 5 BA X
533 10571.61
105716100 132,145,125 300 400 339 61 213,435,000 ok 0.180 0.3093
BI X 535
56971.95 569719500 712,149,375
400 600 539 61 488,580,000 berflens BA Y
580 6804.15
68041500 85,051,875 300 400 339 61 213,435,000 ok 0.116 0.3093
BI Y 564
30336.27 303362700 379,203,375
400 600 539 61 488,580,000 ok 0.518 0.3093 BTEPI
591 1637.48
16374800 20,468,500 200 300 239 61 91,290,000 ok
0.028 1.3093
149
Lantai TIPE
Tulangan Tumpuan Mn=A Lap
b h
d d
B Persegi
K K max
Frame Momen Tumpuan
kgm Mu Nmm
Nmm mm
mm mm
mm Nmm
Lantai 4 BA X
426 24081.53
240815300 301,019,125 300 400 339 61 213,435,000 berflens
BI X 425
77696.67 776966700 971,208,375
400 600 539 61 488,580,000 berflens BA Y
470 17740.12
177401200 221,751,500 300 400 339 61 213,435,000 berflens
BI Y 454
53188.31 531883100 664,853,875
400 600 539 61 488,580,000 berflens BTEPI
498 8987.89
89878900 112,348,625 200 300 239 61 91,290,000 berflens
Lantai 3 BA X
267 11125.10
111251000 139,063,750 300 400 339 61 213,435,000 ok 0.190 0.3093
BI X 268
53997.37 539973700 674,967,125
400 600 539 61 488,580,000 berflens BA Y
334 6644.37
66443700 83,054,625 300 400 339 61 213,435,000 ok 0.113 0.3093
BI Y 326
31706.57 317065700 396,332,125
400 600 539 61 488,580,000 ok 0.541 0.3093 BTEPI
358 1889.59
18895900 23,619,875 200 400 339 61 142,290,000 ok 0.032 0.3093
Lantai 2 BA X
148 12625.44
126254400 157,818,000 300 400 339 61 213,435,000 ok 0.215 0.3093
BI X 136
54944.52 549445200 686,806,500
400 600 539 61 488,580,000 berflens BA Y
202 6391.46
63914600 79,893,250 300 400 339 61 213,435,000 ok 0.109 0.3093
BI Y 194
30350.61 303506100 379,382,625
400 600 539 61 488,580,000 ok 0.518 0.3093 BTEPI
226 1741.79
17417900 21,772,375 200 400 339 61 142,290,000 ok 0.030 0.3093
Lantai 1 BA X
2 9269.52
92695200 115,869,000 300 400 339 61 213,435,000 ok 0.158 0.3093
BI X 3
50225.34 502253400 627,816,750
400 600 539 61 488,580,000 berflens BA Y
69 6646.15
66461500 83,076,875 300 400 339 61 213,435,000 ok 0.113 0.3093
BI Y 53
30429.60 304296000 380,370,000
400 600 539 61 488,580,000 ok 0.519 0.3093 BTEPI
93 1601.52
16015200 20,019,000 200 400 339 61 142,290,000 ok 0.027 0.3093
Lantai Bsmnt
BA X 1254
26458.81 264588100 330,735,125
300 400 339 61 213,435,000 berflens BI X
1257 69601.45
696014500 870,018,125 400 600 539 61 488,580,000 berflens
BA Y 1319
1878.49 18784900 23,481,125
300 400 339 61 213,435,000 ok 0.032 0.3093 BI Y
1293 80404.83
804048300 1,005,060,375 400 600 539 61 488,580,000 berflens
BTEPI 1313
3115.66 31156600 38,945,750
200 350 289 61 116,790,000 ok 0.053 0.3093
150
cek ABpersegi Cek KKmax
Dipake Tul tekan As=As2
M2 M1
K F
As1 As
Tul Terpake As tul tekan
mm mm2
Nmm Nmm
mm2 mm2
mm2 mm2
mm2
ok 2ø22 760.000
84512000 13548500
0.018 0.019
100.8565575 860.857
3ø22 1140
tdk ok 2ø22
760.000 84512000
266409000 0.108
0.114 1310.652208
2070.652 6ø22
2281 ok 2ø22
760.000 84512000
-21308875 -0.029
-0.029 -154.9239
760.000 2ø22
760 tdk ok
2ø22 760.000
84512000 163525125
0.066 0.069
785.3928382 1545.393
5ø22 1901
ok 2ø22 760.000
84512000 56587625
0.116 0.123
444.7741246 760.000
2ø22 760
ok 2ø22 760.000
84512000 42628250
0.058 0.060
324.0878335 1084.088
3ø22 1140
tdk ok 2ø22
760.000 84512000
395362250 0.160
0.176 2010.172818
2770.173 8ø22
3041 ok 2ø22
760.000 84512000
51320625 0.070
0.073 392.7455738
1152.746 4ø22
1521 tdk ok
2ø22 760.000
84512000 383994500
0.155 0.170
1946.438422 2706.438
8ø22 3041
ok 2ø22 760.000
84512000 41639125
0.057 0.059
316.3338422 1076.334
2ø22 760
ok 2ø22 760.000
84512000 110631750
0.151 0.165
889.0097427 1649.010
5ø22 1901
tdk ok 2ø22
760.000 84512000
295202500 0.120
0.128 1462.597742
2222.598 6ø22
2281 ok 2ø22
760.000 84512000
-66455500 -0.136
-0.128 -460.630625
760.000 2ø22
760 ok 2ø22
760.000 84512000
41807500 0.057
0.059 317.6529397
1077.653 3ø22
1140 ok 2ø22
760.000 84512000
-113375 0.000
0.000 -0.83603414
760.000 2ø22
760 tdk ok
2ø22 760.000
84512000 295104125
0.120 0.128
1462.074676 2222.075
6ø22 2281
tdk ok 2ø22
760.000 84512000
-65483000 -0.270
-0.241 -611.372493
760.000 2ø22
760 ok 2ø22
760.000 84512000
47633125 0.065
0.067 363.5051804
1123.505 3ø22
760 ok 2ø22
760.000 84512000
539875 0.001
0.001 3.982847094
763.983 3ø22
1140 tdk ok
2ø22 760.000
84512000 294691375
0.119 0.127
1459.880356 2219.880
6ø22 2281
ok 2ø22 760.000
84512000 -64043500
-0.264 -0.236
-599.21327 760.000
2ø22 760
151
cek ABpersegi Cek KKmax
Dipake Tul tekan As=As2
M2 M1
K F
As1 As
Tul Terpake As tul tekan
mm mm2
Nmm Nmm
mm2 mm2
mm2 mm2
mm2
ok 2ø22 760.000
84512000 54551750
0.074 0.077
418.508102 1178.508
4ø22 1521
ok 2ø22 760.000
84512000 -1457375
-0.002 -0.002
-10.7369346 760.000
2ø22 760
tdk ok 2ø22
760.000 84512000
311820125 0.126
0.135 1551.351261
2311.351 7ø22
2661 ok 2ø22
760.000 84512000
-60892125 -0.125
-0.118 -424.090432
760.000 2ø22
760 ok 2ø22
760.000 84512000
73306000 0.100
0.106 570.7517558
1330.752 4ø22
1521 ok 2ø22
760.000 84512000
-4618750 -0.006
-0.006 -33.9548806
760.000 2ø22
760 tdk ok
2ø22 760.000
84512000 294870625
0.119 0.128
1460.833251 2220.833
6ø22 2281
ok 2ø22 760.000
84512000 -62739625
-0.128 -0.121
-436.261463 760.000
2ø22 760
ok 2ø22 760.000
84512000 31357000
0.043 0.044
236.418983 996.419
3ø22 1140
ok tdk ok
2ø22 760.000
84512000 295858000
0.120 0.128
1466.083778 2226.084
6ø22 2281
ok 2ø22 760.000
84512000 -64493000
-0.132 -0.124
-447.778583 760.000
2ø22 760
ok 2ø22 760.000
84512000 -61030875
-0.083 -0.080
-432.749235 760.000
4ø22 1521
ok 2ø22 760.000
84512000 -45566250
-0.128 -0.121
-371.677271 760.000
2ø22 760
Cheking persegi
dd ddmax
ddmax dd ρ1
ρ ρ1ρ
ρmin ρ
ρmax ρminρρmax
tul tkn diabaikan
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.011 0.0203 ok
0.113 0.237 ok
0.007 0.015 ok
0.0035 0.007 0.0203 ok
0.180 0.237 ok
0.000 0.024 ok
152
Cheking persegi
dd ddmax
ddmax dd ρ1
ρ ρ1ρ
ρmin ρ
ρmax ρminρρmax
tul tkn diabaikan
0.0035 0.009 0.0203 ok
0.113 0.237 ok
0.005 0.015 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.000 0.024 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.014 0.0203 ok
0.113 0.237 ok
0.011 0.015 ok
0.0035 0.015 0.0203 ok
0.180 0.237 ok
0.007 0.024 ok
0.0035 0.014 0.0203 ok
0.113 0.237 ok
0.011 0.015 ok
0.0035 0.007 0.0203 ok
0.180 0.237 ok
0.000 0.024 ok
0.0035 0.019 0.0203 ok
0.180 0.237 ok
0.011 0.024 ok
0.0035 0.011 0.0203 ok
0.113 0.237 ok
0.007 0.015 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.000 0.024 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.007 0.0203 ok
0.180 0.237 ok
0.000 0.024 ok
0.0035 0.011 0.0203 ok
0.113 0.237 ok
0.007 0.015 ok
0.0035 0.016 0.0203 ok
0.255 0.237 ok
0.000 0.035 ok
0.0035 0.007 0.0203 ok
0.180 0.237 ok
0.000 0.024 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.011 0.0203 ok
0.113 0.237 ok
0.007 0.015 ok
0.0035 0.016 0.0203 ok
0.255 0.237 ok
0.000 0.035 ok
0.0035 0.015 0.0203 ok
0.180 0.237 ok
0.007 0.024 ok
153
Cheking persegi
dd ddmax
ddmax dd ρ1
ρ ρ1ρ
ρmin ρ
ρmax ρminρρmax
tul tkn diabaikan
0.0035 0.007 0.0203 ok
0.180 0.237 ok
0.000 0.024 ok
0.0035 0.012 0.0203 ok
0.113 0.237 ok
0.009 0.015 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.000 0.024 ok
0.0035 0.015 0.0203 ok
0.180 0.237 ok
0.007 0.024 ok
0.0035 0.007 0.0203 ok
0.180 0.237 ok
0.000 0.024 ok
0.0035 0.011 0.0203 ok
0.113 0.237 ok
0.007 0.015 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.000 0.024 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.011 0.0203 ok
0.113 0.237 ok
0.007 0.015 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.000 0.024 ok
0.0035 0.015 0.0203 ok
0.180 0.237 ok
0.007 0.024 ok
0.0035 0.013 0.0203 ok
0.211 0.237 ok
0.000 0.029 ok
Tabel 4. 29 Tulangan Tumpuan Penampang Berflens Gedung 1
TIPE Frame Momen Lapangan Mn=A
Lap b bw h d d B
AB Fmax K kgm
Mu Nmm Nmm
mm mm
mm mm
mm Nmm
berflens
BTEPI 918
21009.13 210091300 262,614,125
200 920 300
239 61
91290000 Ok 0.3825 -0.272
BI X 757
46310.26 463102600 578,878,250
400 1120 600
539 61
488580000 Ok 0.3825 -0.122
BI X 652
50750.68 507506800 634,383,500
400 1120 600
539 61
488580000 Ok 0.3825 -0.099
BI X 535
56971.95 569719500 712,149,375
400 1120 600
539 61
488580000 Ok 0.3825 -0.068
BTEPI 548 31643.7
316437000 395,546,250
200 920 300
239 61
91290000 Ok 0.3825 0.276
154
BA X 426
24081.53 240815300 301,019,125
300 1020 400
339 61
213435000 Ok 0.3825 -0.288
BI X 425
77696.67 776966700 971,208,375
400 1120 600
539 61
488580000 Ok 0.3825 0.037
BA Y 470
17740.12 177401200 221,751,500
300 1020 400
339 61
213435000 Ok 0.3825 -0.397
BI Y 454
53188.31 531883100 664,853,875
400 1120 600
539 61
488580000 Ok 0.3825 -0.087
BTEPI 498
8987.89 89878900 112,348,625
200 920 400
339 61
142290000 Ok 0.3825 -0.819
BA Y 470
17740.12 177401200 221,751,500
300 1020 400
400 61
260100000 Ok 0.3825 -0.395
BI X 268
53997.37 539973700 674,967,125
400 1120 600
539 61
488580000 Ok 0.3825 -0.083
BI X 136
54944.52 549445200 686,806,500
400 1120 600
539 61
488580000 Ok 0.3825 -0.078
BI X 3
50225.34 502253400 627,816,750
400 1120 600
539 61
488580000 Ok 0.3825 -0.102
BA X 1254
26458.81 264588100 330,735,125
300 1020 400
339 61
213435000 Ok 0.3825 -0.248
BI X 1257
69601.45 696014500 870,018,125
400 1120 600
539 61
488580000 Ok 0.3825 -0.004
BI Y 1293
80404.83 804048300 1,005,060,375
400 1120 600
539 61
488580000 Ok 0.3825 0.051
F F
As tul terpsng
AS Terpsng F0
F,Fmax mm2
ø
22 mm²
-0.243 Ok 3974.020 11ø22 4179.34
-0.115 Ok 3271.769 9ø22 3419.46
-0.095 Ok 3504.768 10ø22 3799.4
-0.066 Ok 3838.692 11ø22 4179.34
0.330 Ok 5428.127 15ø22 5699.1
-0.256 Ok 3208.834 9ø23 3419.46
0.038 Ok 5023.840 14ø23 5319.16
-0.339 Ok 2758.242 8ø23 3039.52
-0.083 Ok 3634.536 10ø24 3799.4
-0.624 Ok 2342.264 11ø24 4179.34
-0.338 Ok 2437.754 7ø22 2659.58
-0.080 Ok 3677.908 10ø24 3799.4
-0.075 Ok 3728.876 10ø25 3799.4
-0.097 Ok 3476.977 10ø25 3799.4
-0.223 Ok 3385.667 9ø25 3419.46
155
F F
As tul terpsng
AS Terpsng F0
F,Fmax mm2
ø
22 mm²
-0.004 Ok 4546.364 12ø26 4559.28
0.052 Ok 5188.261 14ø26 5319.16
Tabel 4. 30 Tulangan Lapangan Gedung 2 Penampang Biasa
Lantai Tulangan Lapangan
TIPE Frame
Momen Lapangan Mn=A Lap
b h
d d
B Persegi
K K max
kgm Mu Nmm
Nmm mm
mm mm
mm Nmm
Lantai Atap
BA X 961
12813.68 128136800 160,171,000
300 400 339 61 213,435,000 ok 0.219 0.3093 BI X
964 23677.82
236778200 295,972,750 400 600 539 61 488,580,000 ok 0.120 0.3093
BA Y 989
7030.26 70302600 87,878,250
300 400 339 61 213,435,000 ok 0.120 0.3093 BI Y
977 29959.11
299591100 374,488,875 400 600 539 61 488,580,000 ok 0.152 0.3093
BTEPI 1006 18663.1 186631000 233,288,750
200 300 239 61 91,290,000 berflens Lantai 8
BA X 825
18555.65 185556500 231,945,625
300 400 339 61 213,435,000 berflens BI X
852 27482.73
274827300 343,534,125 400 600 539 61 488,580,000 berflens
BA Y 885
10943.05 109430500 136,788,125
300 400 339 61 213,435,000 berflens 0.187 0.3093 BI Y
865 39228.94
392289400 490,361,750 400 600 539 61 488,580,000 berflens
BTEPI 894
33051.36 330513600 413,142,000
200 300 239 61 91,290,000 berflens Lantai 7
BA X 715
21079.50 210795000 263,493,750
300 400 339 61 213,435,000 berflens BI X
740 35134.57
351345700 439,182,125 400 600 539 61 488,580,000 ok 0.178 0.3093
BA Y 772
16209.21 162092100 202,615,125
300 400 339 61 213,435,000 ok 0.277 0.3093 BI Y
753 44229.13
442291300 552,864,125 400 600 539 61 488,580,000 berflens
BTEPI 782 38197.3 381973000 477,466,250
200 300 239 61 91,290,000 berflens Lantai 6
BA X 603
21086.77 210867700 263,584,625
300 400 339 61 213,435,000 berflens BI X
628 34160.16
341601600 427,002,000 400 600 539 61 488,580,000 berflens 0.173 0.3093
156
Lantai Tulangan Lapangan
TIPE Frame
Momen Lapangan Mn=A Lap
b h
d d
B Persegi
K K max
kgm Mu Nmm
Nmm mm
mm mm
mm Nmm
BA Y 660
16308.09 163080900 203,851,125
300 400 339 61 213,435,000 berflens 0.278 0.3093 BI Y
648 66342.40
663424000 829,280,000 400 600 539 61 488,580,000 berflens
BTEPI 670 42932.3 429323000 536,653,750
200 300 239 61 91,290,000 berflens Lantai 5
BA X 491
21156.73 211567300 264,459,125
300 400 339 61 213,435,000 berflens BI X
516 34804.72
348047200 435,059,000 400 600 539 61 488,580,000 ok 0.176 0.3093
BA Y 548
16494.75 164947500 206,184,375
300 400 339 61 213,435,000 ok 0.281 0.3093 BI Y
529 43072.50
430725000 538,406,250 400 600 539 61 488,580,000 berflens
BTEPI 558
46701.74 467017400 583,771,750
200 300 239 61 91,290,000 berflens Lantai 4
BA X 388
21765.60 217656000 272,070,000
300 400 339 61 213,435,000 berflens BI X
391 39296.61
392966100 491,207,625 400 600 539 61 488,580,000 berflens
BA Y 435
19855.28 198552800 248,191,000
300 400 339 61 213,435,000 berflens BI Y
404 42693.50
426935000 533,668,750 400 600 539 61 488,580,000 berflens
BTEPI 432 52325.9 523259000 654,073,750
200 300 239 61 91,290,000 berflens Lantai 3
BA X 263
23718.68 237186800 296,483,500
300 400 339 61 213,435,000 berflens BI X
265 84043.18
840431800 1,050,539,750 400 600 539 61 488,580,000 berflens
BA Y 310
19337.28 193372800 241,716,000
300 400 339 61 213,435,000 berflens BI Y
278 83043.22
830432200 1,038,040,250 400 600 539 61 488,580,000 berflens
BTEPI 307 58459.8 584598000 730,747,500
200 300 239 61 91,290,000 berflens Lantai 2
BA X 151
22462.93 224629300 280,786,625
300 400 339 61 213,435,000 berflens BI X
153 82114.74
821147400 1,026,434,250 400 600 539 61 488,580,000 berflens
BA Y 198
17818.85 178188500 222,735,625
300 400 339 61 213,435,000 berflens BI Y
168 72384.92
723849200 904,811,500 400 600 539 61 488,580,000 berflens
BTEPI 196 56314.9 563149000 703,936,250
200 300 239 61 91,290,000 berflens Lantai 1
BA X 39
22658.76 226587600 283,234,500
300 400 339 61 213,435,000 berflens BI X
41 76022.30
760223000 950,278,750 400 600 539 61 488,580,000 berflens
BA Y 54
71640.53 716405300 895,506,625
300 400 339 61 213,435,000 berflens
157
Lantai Tulangan Lapangan
TIPE Frame
Momen Lapangan Mn=A Lap
b h
d d
B Persegi
K K max
kgm Mu Nmm
Nmm mm
mm mm
mm Nmm
BI Y 54
71640.53 716405300 895,506,625
400 600 539 61 488,580,000 berflens BTEPI
84 50639.2 506392000 632,990,000 200 300 239 61 91,290,000 berflens
Lantai Bsmnt
BA X 1073
53885.13 538851300 673,564,125
300 400 339 61 213,435,000 berflens BI X
1075 116228.55
1162285500 1,452,856,875 400 600 539 61 488,580,000 berflens
BA Y 1126
9564.72 95647200 119,559,000
300 400 339 61 213,435,000 ok 0.163 0.3093 BI Y
1088 120105.35
1201053500 1,501,316,875 400 600 539 61 488,580,000 berflens
BTEPI 1086 52174.1 521741000 652,176,250
200 300 239 61 91,290,000 berflens
cek ABpersegi Cek KKmax
Dipake Tul tekan As=As2
M2 M1
K F
As1 As
Tul Terpake As tul tekan
mm mm2
Nmm Nmm
mm2 mm2
mm2 mm2
mm2
ok 2ø22 760.000
84512000 75659000
0.103 0.109
590.1930108 1350.193
4ø22 1521
ok 2ø22 760.000
145312000 150660750
0.061 0.063
721.5235593 1481.524
4ø22 1521
ok 2ø22 760.000
84512000 3366250
0.005 0.005
24.88214871 784.882
3ø22 1140
ok 2ø22 760.000
145312000 229176875
0.093 0.098
1117.486357 1877.486
5ø22 1901
ok 2ø22 760.000
84512000 52276125
0.071 0.074
400.3501864 1160.350
4ø22 1521
ok 2ø22 760.000
145312000 293870125
0.119 0.127
1455.515742 2215.516
6ø22 2281
ok 2ø22 760.000
84512000 118103125
0.161 0.177
955.4492209 1715.449
5ø22 1901
158
cek ABpersegi Cek KKmax
Dipake Tul tekan As=As2
M2 M1
K F
As1 As
Tul Terpake As tul tekan
mm mm2
Nmm Nmm
mm2 mm2
mm2 mm2
mm2
ok 2ø22 760.000
145312000 281690000
0.114 0.121
1391.005515 2151.006
6ø22 2281
ok 2ø22 760.000
84512000 119339125
0.163 0.179
966.5363153 1726.536
5ø22 1901
ok 2ø22 760.000
145312000 289747000
0.117 0.125
1433.631722 2193.632
7ø22 2661
ok 2ø22 760.000
84512000 121672375
0.166 0.183
987.5417804 1747.542
5ø22 1901
159
cek ABpersegi Cek KKmax
Dipake Tul tekan As=As2
M2 M1
K F
As1 As
Tul Terpake As tul tekan
mm mm2
Nmm Nmm
mm2 mm2
mm2 mm2
mm2
ok 2ø22 760.000
84512000 35047000
0.048 0.049
264.9554469 1024.955
3ø22 1140
Cheking persegi
dd ddmax
ddmax dd ρ1
ρ ρ1ρ
ρmin ρ
ρmax ρminρρmax
tul tkn diabaikan
0.0035 0.015 0.0203 ok
0.180 0.237 ok
0.007 0.024 ok
0.0035 0.007 0.0203 ok
0.113 0.237 ok
0.004 0.015 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.009 0.0203 ok
0.113 0.237 ok
0.005 0.015 ok
0.0035 0.015 0.0203 ok
0.180 0.237 ok
0.007 0.024 ok
0.0035 0.011 0.0203 ok
0.113 0.237 ok
0.007 0.015 ok
0.0035 0.019 0.0203 ok
0.180 0.237 ok
0.011 0.024 ok
`
160
Cheking persegi
dd ddmax
ddmax dd ρ1
ρ ρ1ρ
ρmin ρ
ρmax ρminρρmax
tul tkn diabaikan
0.0035 0.011 0.0203 ok
0.113 0.237 ok
0.007 0.015 ok
0.0035 0.019 0.0203 ok
0.180 0.237 ok
0.011 0.024 ok
0.0035 0.012 0.0203 ok
0.113 0.237 ok
0.009 0.015 ok
0.0035 0.019 0.0203 ok
0.180 0.237 ok
0.011 0.024 ok
161
Cheking persegi
dd ddmax
ddmax dd ρ1
ρ ρ1ρ
ρmin ρ
ρmax ρminρρmax
tul tkn diabaikan
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
Tabel 4. 31 Tulangan Lapangan Gedung 2 Penampang Berflens
TIPE Frame
Momen Lapangan Mn=A Lap
b bw
h d
d B
AB Fmax
K kgm
Mu Nmm Nmm
mm mm
mm mm
mm Nmm
berflens
BTEPI 1006 18663.1
186631000 233,288,750
200 920 300
239 61
91290000 Ok 0.3825 -0.393
BA X 825
18555.65 185556500 231,945,625
300 1020 400
400 61
260100000 Ok 0.3825 -0.385
BI X 852
27482.73 274827300 343,534,125
400 1120 600
539 61
488580000 Ok 0.3825 -0.217
BI Y 865
39228.94 392289400 490,361,750
400 1120 600
539 61
488580000 Ok 0.3825 -0.158
BTEPI 894
33051.36 330513600 413,142,000
300 1020 400
339 61
213435000 Ok 0.3825 -0.135
BA X 715
21079.50 210795000 263,493,750
300 1020 400
339 61
213435000 Ok 0.3825 -0.340
BI Y 753
44229.13 442291300 552,864,125
400 1120 600
539 61
488580000 Ok 0.3825 -0.132
BTEPI 782 38197.3
381973000 477,466,250
200 920 400
339 61
142290000 Ok 0.3825 -0.071
BA X 715
21079.50 210795000 263,493,750
300 1020 400
400 61
260100000 Ok 0.3825 -0.354
BA X 603
21086.77 210867700 263,584,625
300 1020 400
339 61
213435000 Ok 0.3825 -0.339
BI Y 648
66342.40 663424000 829,280,000
400 1120 600
539 61
488580000 Ok 0.3825 -0.020
BTEPI 670 42932.3
429323000 536,653,750
200 920 400
339 61
142290000 Ok 0.3825 0.050
BA X 603
21086.77 210867700 263,584,625
300 1020 400
400 61
260100000 Ok 0.3825 -0.354
162
TIPE Frame
Momen Lapangan Mn=A Lap
b bw
h d
d B
AB Fmax
K kgm
Mu Nmm Nmm
mm mm
mm mm
mm Nmm
berflens
BA X 491
21156.73 211567300 264,459,125
300 1020 400
339 61
213435000 Ok 0.3825 -0.338
BI Y 529
43072.50 430725000 538,406,250
400 1120 600
539 61
488580000 Ok 0.3825 -0.138
BTEPI 558
46701.74 467017400 583,771,750
350 1070 400
339 61
249007500 Ok 0.3825 0.084
BA X 388
21765.60 217656000 272,070,000
300 1020 400
400 61
260100000 Ok 0.3825 -0.345
BI X 391
39296.61 392966100 491,207,625
400 1120 600
539 61
488580000 Ok 0.3825 -0.157
BA Y 435
19855.28 198552800 248,191,000
300 1020 400
339 61
213435000 Ok 0.3825 -0.360
BI Y 404
42693.50 426935000 533,668,750
400 1120 600
539 61
488580000 Ok 0.3825 -0.140
BTEPI 432 52325.9
523259000 654,073,750
200 920 400
339 61
142290000 Ok 0.3825 0.290
BA X 388
21765.60 217656000 272,070,000
300 1020 400
400 61
260100000 Ok 0.3825 -0.345
BA X 263
23718.68 237186800 296,483,500
300 1020 400
339 61
213435000 Ok 0.3825 -0.295
BI X 265
84043.18 840431800 1,050,539,750
400 1120 600
539 61
488580000 Ok 0.3825 0.069
BA Y 310
19337.28 193372800 241,716,000
300 1020 400
339 61
213435000 Ok 0.3825 -0.369
BI Y 278
83043.22 830432200 1,038,040,250
400 1120 600
539 61
488580000 Ok 0.3825 0.064
BTEPI 307 58459.8
584598000 730,747,500
300 1020 400
339 61
213435000 Ok 0.3825 0.298
BA X 263
23718.68 237186800 296,483,500
300 1020 400
400 61
260100000 Ok 0.3825 -0.321
BA X 151
22462.93 224629300 280,786,625
300 1020 400
339 61
213435000 Ok 0.3825 -0.316
BI X 153
82114.74 821147400 1,026,434,250
400 1120 600
539 61
488580000 Ok 0.3825 0.060
BA Y 198
17818.85 178188500 222,735,625
300 1020 400
339 61
213435000 Ok 0.3825 -0.395
BI Y 168
72384.92 723849200 904,811,500
400 1120 600
539 61
488580000 Ok 0.3825 0.010
BTEPI 196 56314.9
563149000 703,936,250
300 1020 400
339 61
213435000 Ok 0.3825 0.262
BA X 151
22462.93 224629300 280,786,625
300 1020 400
400 61
260100000 Ok 0.3825 -0.337
BA X 39
22658.76 226587600 283,234,500
300 1020 400
339 61
213435000 Ok 0.3825 -0.313
BI X 41
76022.30 760223000 950,278,750
400 1120 600
539 61
488580000 Ok 0.3825 0.029
BA Y 54
71640.53 716405300 895,506,625
300 1020 500
439 61
289935000 Ok 0.3825 0.163
BI Y 54
71640.53 716405300 895,506,625
400 1120 600
539 61
488580000 Ok 0.3825 0.007
BTEPI 84 50639.2
506392000 632,990,000
200 920 400
339 61
142290000 Ok 0.3825 0.247
BI X 1075
116228.55 1162285500 1,452,856,875
400 1120 600
539 61
488580000 Ok 0.3825 0.232
163
TIPE Frame
Momen Lapangan Mn=A Lap
b bw
h d
d B
AB Fmax
K kgm
Mu Nmm Nmm
mm mm
mm mm
mm Nmm
berflens
BI Y 1088
120105.35 1201053500 1,501,316,875
400 1120 600
539 61
488580000 Ok 0.3825 0.252
BTEPI 1086 52174.1
521741000 652,176,250
200 920 400
400 61
173400000 Ok 0.3825 0.041
F F
As tul terpsng
AS Terpsng F0
FFmax mm2
mm²
-0.336 Ok 3736.121 10ø22 3799.4
-0.330 Ok 2485.520 7ø22 2659.58
-0.198 Ok 2327.744 7ø22 2659.58
-0.147 Ok 2908.744 8ø22 3039.52
-0.127 Ok 3902.856 11ø22 4179.34
-0.296 Ok 2991.908 8ø22 3039.52
-0.124 Ok 3164.018 9ø22 3419.46
-0.069 Ok 4342.061 12ø22 4559.28
-0.307 Ok 2635.079 7ø22 2659.58
-0.296 Ok 2992.425 8ø22 3039.52
-0.020 Ok 4359.645 12ø22 4559.28
0.051 Ok 4774.751 13ø22 4939.22
-0.307 Ok 2635.513 7ø22 2659.58
-0.295 Ok 2997.404 8ø22 3039.52
-0.130 Ok 3104.521 9ø22 3419.46
0.088 Ok 5141.629 14ø22 5319.16
-0.300 Ok 2676.202 8ø22 3039.52
-0.146 Ok 2912.166 8ø22 3039.52
-0.312 Ok 2905.351 8ø22 3039.52
-0.131 Ok 3085.085 9ø22 3419.46
0.353 Ok 5859.752 16ø22 6079.04
-0.300 Ok 2676.202 8ø22 3039.52
164
F F
As tul terpsng
AS Terpsng F0
FFmax mm2
mm²
-0.261 Ok 3182.247 9ø22 3419.46
0.072 Ok 5413.159 15ø22 5699.1
-0.319 Ok 2869.044 8ø22 3039.52
0.066 Ok 5350.877 15ø22 5699.1
0.365 Ok 6560.847 18ø22 6838.92
-0.282 Ok 2794.399 8ø22 3039.52
-0.277 Ok 3091.027 9ø22 3419.46
0.061 Ok 5293.370 14ø22 5319.16
-0.338 Ok 2763.664 8ø22 3039.52
0.010 Ok 4708.271 13ø22 4939.22
0.310 Ok 6262.544 17ø22 6458.98
-0.294 Ok 2718.209 8ø22 3039.52
-0.275 Ok 3105.173 9ø22 3419.46
0.029 Ok 4923.399 13ø22 4939.22
0.178 Ok 5838.409 16ø22 6079.04
0.007 Ok 4664.746 13ø22 4939.22
0.289 Ok 5630.845 15ø22 5699.1
0.268 Ok 7661.431 21ø22 7978.74
0.295 Ok 7974.401 21ø22 7978.74
0.042 Ok 4768.343 13ø22 4939.22
Tabel 4. 32 Gedung 2 Tulangan Tumpuan Penampang Biasa
Lantai Tulangan Tumpuan
b h
d d
B Persegi
K K max
TIPE Frame
Momen Tumpuan Mn=A Tump
kgm Mu Nmm
Nmm mm
mm mm
mm Nmm
Lantai BA X
961 7161.52
71615200 89,519,000 300 400 339 61 213,435,000 ok 0.122 0.3093
165
Lantai Tulangan Tumpuan
b h
d d
B Persegi
K K max
TIPE Frame
Momen Tumpuan Mn=A Tump
kgm Mu Nmm
Nmm mm
mm mm
mm Nmm
Atap BI X
964 29501.51
295015100 368,768,875 400 600 539 61 488,580,000 ok 0.149 0.3093
BA Y 989
9207.35 92073500 115,091,875
300 400 339 61 213,435,000 ok 0.157 0.3093 BI Y
977 38097.82
380978200 476,222,750 400 600 539 61 488,580,000 ok 0.193 0.3093
BTEPI 1006
7161.52 71615200 89,519,000
350 400 339 61 249,007,500 ok 0.105 0.3093 Lantai 8
BA X 825
9691.11 96911100 121,138,875
300 400 339 61 213,435,000 ok 0.165 0.3093 BI X
852 42208.86
422088600 527,610,750 400 600 539 61 488,580,000 berflens
BA Y 885
13344.61 133446100 166,807,625
300 400 339 61 213,435,000 ok 0.228 0.3093 BI Y
865 56708.67
567086700 708,858,375 400 600 539 61 488,580,000 berflens
BTEPI 894
16851.05 168510500 210,638,125
200 300 239 61 91,290,000 berflens Lantai 7
BA X 715
10953.69 109536900 136,921,125
300 400 339 61 213,435,000 ok 0.187 0.3093 BI X
740 43304.89
433048900 541,311,125 400 600 539 61 488,580,000 berflens
BA Y 772
11940.72 119407200 149,259,000
300 400 339 61 213,435,000 ok 0.204 0.3093 BI Y
753 64076.73
640767300 800,959,125 400 600 539 61 488,580,000 berflens
BTEPI 782
16790.86 167908600 209,885,750
200 300 239 61 91,290,000 berflens Lantai 6
BA X 603
11195.29 111952900 139,941,125
300 400 339 61 213,435,000 ok 0.191 0.3093 BI X
628 58325.78
583257800 729,072,250 400 600 539 61 488,580,000 berflens
BA Y 660
12259.53 122595300 153,244,125
300 400 339 61 213,435,000 ok 0.209 0.3093 BI Y
648 44650.43
446504300 558,130,375 400 600 539 61 488,580,000 berflens
BTEPI 670
16837.12 168371200 210,464,000
200 300 239 61 91,290,000 berflens Lantai 5
BA X 491
10915.72 109157200 136,446,500
300 400 339 61 213,435,000 ok 0.186 0.3093 BI X
516 66679.59
666795900 833,494,875 400 600 539 61 488,580,000 berflens
BA Y 548
11697.33 116973300 146,216,625
300 400 339 61 213,435,000 ok 0.200 0.3093 BI Y
529 71507.21
715072100 893,840,125 400 600 539 61 488,580,000 berflens
BTEPI 558
16278.41 162784100 203,480,125
200 300 239 61 91,290,000 berflens Lantai 4
BA X 388
10236.72 102367200 127,959,000
300 400 339 61 213,435,000 ok 0.175 0.3093 BI X
391 78099.28
780992800 976,241,000 400 600 539 61 488,580,000 berflens
BA Y 435
13399.79 133997900 167,497,375
300 400 339 61 213,435,000 ok 0.229 0.3093 BI Y
404 76954.71
769547100 961,933,875 400 600 539 61 488,580,000 berflens
BTEPI 432
16111.76 161117600 201,397,000
200 300 239 61 91,290,000 berflens
166
Lantai Tulangan Tumpuan
b h
d d
B Persegi
K K max
TIPE Frame
Momen Tumpuan Mn=A Tump
kgm Mu Nmm
Nmm mm
mm mm
mm Nmm
Lantai 3 BA X
263 11091.34
110913400 138,641,750 300 400 339 61 213,435,000 ok 0.189 0.3093
BI X 265
37406.29 374062900 467,578,625
400 600 539 61 488,580,000 ok 0.189 0.3093 BA Y
310 14340.40
143404000 179,255,000 300 400 339 61 213,435,000 ok 0.245 0.3093
BI Y 278
45952.34 459523400 574,404,250
400 600 539 61 488,580,000 berflens BTEPI
307 18075.78
180757800 225,947,250 200 300 239 61 91,290,000 berflens
Lantai 2 BA X
151 10533.66
105336600 131,670,750 300 400 339 61 213,435,000 ok 0.180 0.3093
BI X 153
35391.86 353918600 442,398,250
400 600 539 61 488,580,000 ok 0.179 0.3093 BA Y
198 13348.89
133488900 166,861,125 300 400 339 61 213,435,000 ok 0.228 0.3093
BI Y 168
80195.81 801958100 1,002,447,625
400 600 539 61 488,580,000 berflens BTEPI
196 18865.86
188658600 235,823,250 200 300 239 61 91,290,000 berflens
Lantai 1 BA X
39 10550.23
105502300 131,877,875 300 400 339 61 213,435,000 ok 0.180 0.3093
BI X 41
35674.91 356749100 445,936,375
400 600 539 61 488,580,000 ok 0.181 0.3093 BA Y
54 13398.39
133983900 167,479,875 300 400 339 61 213,435,000 ok 0.229 0.3093
BI Y 54
71640.53 716405300 895,506,625
400 600 539 61 488,580,000 berflens BTEPI
84 17017.77
170177700 212,722,125 200 300 239 61 91,290,000 berflens
Lantai Bsmnt
BA X 1073
28244.13 282441300 353,051,625
300 400 339 61 213,435,000 berflens BI X
1075 80340.18
803401800 1,004,252,250 400 600 539 61 488,580,000 berflens
BA Y 1126
51770.23 517702300 647,127,875
300 400 339 61 213,435,000 berflens BI Y
1088 97832.79
978327900 1,222,909,875 400 600 539 61 488,580,000 berflens
BTEPI 1086
29644.98 296449800 370,562,250
200 300 239 61 91,290,000 berflens
cek ABpersegi Cek KKmax
Dipake Tul tekan As=As2
M2 M1
K F
As1 As
Tul Terpake As tul tekan
mm mm2
Nmm Nmm
mm2 mm2
mm2 mm2
mm2
ok 2ø22 760.000
84512000 5007000
0.007 0.007
37.05182721 797.052
3ø22 1140
ok 2ø22 760.000
145312000 223456875
0.090 0.095
1088.129126 1848.129
5ø22 1901
ok 2ø22 760.000
84512000 30579875
0.042 0.043
230.4291885 990.429
3ø22 1140
ok 2ø22 760.000
145312000 330910750
0.134 0.144
1654.305022 2414.305
7ø22 2661
ok 2ø22 760.000
84512000 5007000
0.006 0.006
37.03357014 797.034
3ø22 1140
167
cek ABpersegi Cek KKmax
Dipake Tul tekan As=As2
M2 M1
K F
As1 As
Tul Terpake As tul tekan
mm mm2
Nmm Nmm
mm2 mm2
mm2 mm2
mm2
ok 2ø22 760.000
84512000 36626875
0.050 0.051
277.2219186 1037.222
3ø22 1140
ok 2ø22 760.000
84512000 82295625
0.112 0.119
645.4550094 1405.455
4ø22 1521
ok 2ø22 760.000
760.000 136920365
0.187 0.209
2389.947146 3149.947
5ø22 1901
ok 2ø22 760.000
84512000 64747000
0.088 0.093
584.1322238 1344.132
3ø22 1140
ok 2ø22 760.000
84512000 55429125
0.076 0.079
425.5266421 1185.527
4ø22 1521
ok 2ø22 760.000
84512000 68732125
0.094 0.099
250.6012415 1010.601
3ø22 1140
ok 2ø22 760.000
84512000 51934500
0.071 0.074
397.6299418 1157.630
4ø22 1521
ok 2ø22 760.000
84512000 61704625
0.084 0.088
223.7335432 983.734
3ø22 1140
ok 2ø22 760.000
84512000 43447000
0.059 0.061
330.5151805 1090.515
3ø22 1140
ok 2ø22 760.000
84512000 82985375
0.113 0.121
306.0869969 1066.087
3ø22 1140
ok 2ø22 760.000
84512000 54129750
0.074 0.077
415.1358408 1175.136
4ø22 1521
ok 2ø22 760.000
145312000 322266625
0.131 0.140
1607.554788 2367.555
7ø22 2661
ok 2ø22 760.000
84512000 94743000
0.129 0.139
352.9172393 1112.917
3ø22 1140
168
cek ABpersegi Cek KKmax
Dipake Tul tekan As=As2
M2 M1
K F
As1 As
Tul Terpake As tul tekan
mm mm2
Nmm Nmm
mm2 mm2
mm2 mm2
mm2
ok 2ø22 760.000
84512000 47158750
0.064 0.067
359.7558853 1119.756
3ø22 1140
ok 2ø22 760.000
145312000 297086250
0.120 0.129
1472.619052 2232.619
6ø22 2281
ok 2ø22 760.000
84512000 82349125
0.112 0.120
303.5808095 1063.581
3ø22 1140
ok 2ø22 760.000
84512000 47365875
0.065 0.067
361.3925863 1121.393
3ø22 1140
ok 2ø22 760.000
145312000 300624375
0.122 0.130
1491.468674 2251.469
6ø22 2281
ok 2ø22 760.000
84512000 82967875
0.113 0.121
306.0180268 1066.018
6ø22 1140
Cheking persegi
dd ddmax
ddmax dd ρ1
ρ ρ1ρ
ρmin ρ
ρmax ρminρρmax
tul tkn diabaikan
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.009 0.0203 ok
0.113 0.237 ok
0.005 0.015 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.012 0.0203 ok
0.113 0.237 ok
0.009 0.015 ok
0.0035 0.010 0.0203 ok
0.180 0.237 ok
0.003 0.024 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.015 0.0203 ok
0.180 0.237 ok
0.007 0.024 ok
169
Cheking persegi
dd ddmax
ddmax dd ρ1
ρ ρ1ρ
ρmin ρ
ρmax ρminρρmax
tul tkn diabaikan
0.0035 0.019 0.0203 ok
0.180 0.237 ok
0.011 0.024 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.015 0.0203 ok
0.180 0.237 ok
0.007 0.024 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.015 0.0203 ok
0.180 0.237 ok
0.007 0.024 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.015 0.0203 ok
0.180 0.237 ok
0.007 0.024 ok
0.0035 0.012 0.0203 ok
0.113 0.237 ok
0.009 0.015 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.011 0.0203 ok
0.113 0.237 ok
0.007 0.015 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
170
Cheking persegi
dd ddmax
ddmax dd ρ1
ρ ρ1ρ
ρmin ρ
ρmax ρminρρmax
tul tkn diabaikan
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
0.0035 0.011 0.0203 ok
0.113 0.237 ok
0.007 0.015 ok
0.0035 0.011 0.0203 ok
0.180 0.237 ok
0.004 0.024 ok
Tabel 4. 33 Penampang Berflens Gedung 2 Tulangan Tumpuan
TIPE Frame
Momen Lapangan Mn=A Lap
b bw
h d
d B
AB Fmax
K kgm
Mu Nmm Nmm
mm mm
mm mm
mm Nmm
berflens
200 920 300
239 61
91290000 Ok 0.3825 -1.354
BI X 852
42208.86 422088600 527,610,750
400 1120 600
539 61
488580000 Ok 0.3825 -0.142
BI Y 865
56708.67 567086700 708,858,375
400 1120 600
539 61
488580000 Ok 0.3825 -0.069
BTEPI 894
16851.05 168510500 210,638,125
200 920 300
239 61
91290000 Ok 0.3825 -0.486
BI X 740
43304.89 433048900 541,311,125
400 1120 600
539 61
488580000 Ok 0.3825 -0.137
BI Y 753
64076.73 640767300 800,959,125
400 1120 600
539 61
488580000 Ok 0.3825 -0.032
BTEPI 782
16790.86 167908600 209,885,750
200 920 300
239 61
91290000 Ok 0.3825 -0.489
BI X 628
58325.78 583257800 729,072,250
400 1120 600
539 61
488580000 Ok 0.3825 -0.061
BI Y 648
44650.43 446504300 558,130,375
400 1120 600
539 61
488580000 Ok 0.3825 -0.130
BTEPI 670
21466.15 214661500 268,326,875
200 920 300
239 61
91290000 Ok 0.3825 -0.248
BI X 516
66679.59 666795900 833,494,875
400 1120 600
539 61
488580000 Ok 0.3825 -0.019
171
TIPE Frame
Momen Lapangan Mn=A Lap
b bw
h d
d B
AB Fmax
K kgm
Mu Nmm Nmm
mm mm
mm mm
mm Nmm
berflens
BI Y 529
71507.21 715072100 893,840,125
400 1120 600
539 61
488580000 Ok 0.3825 0.006
BTEPI 558
16278.41 162784100 203,480,125
200 920 300
239 61
91290000 Ok 0.3825 -0.516
BI X 391
78099.28 780992800 976,241,000
400 1120 600
539 61
488580000 Ok 0.3825 0.039
BI Y 404
76954.71 769547100 961,933,875
400 1120 600
539 61
488580000 Ok 0.3825 0.033
BTEPI 432
16111.76 161117600 201,397,000
200 920 300
239 61
91290000 Ok 0.3825 -0.524
BI Y 278
45952.34 459523400 574,404,250
400 1120 600
539 61
488580000 Ok 0.3825 -0.124
BTEPI 307
18075.78 180757800 225,947,250
200 920 300
239 61
91290000 Ok 0.3825 -0.423
BI Y 168
80195.81 801958100 1,002,447,625
400 1120 600
539 61
488580000 Ok 0.3825 0.050
BTEPI 196
18865.86 188658600 235,823,250
200 920 300
239 61
91290000 Ok 0.3825 -0.382
BI Y 54
71640.53 716405300 895,506,625
400 1120 600
539 61
488580000 Ok 0.3825 0.007
BTEPI 84
17017.77 170177700 212,722,125
200 920 300
239 61
91290000 Ok 0.3825 -0.478
BA X 1073
28244.13 282441300 353,051,625
300 1020 400
339 61
213435000 Ok 0.3825 -0.217
BI X 1075
80340.18 803401800 1,004,252,250
400 1120 600
539 61
488580000 Ok 0.3825 0.051
BA Y 1126
51770.23 517702300 647,127,875
300 1020 400
339 61
213435000 Ok 0.3825 0.184
BI Y 1088
97832.79 978327900 1,222,909,875
400 1120 600
539 61
488580000 Ok 0.3825 0.139
BTEPI 1086
29644.98 296449800 370,562,250
200 920 300
239 61
91290000 Ok 0.3825 0.173
F F
As tul terpsng
AS Terpsng F0
FFmax mm2
mm²
-0.925 Ok 2239.831 8ø22 3039.52
-0.134 Ok 3060.273 9ø22 3419.46
-0.067 Ok 3824.376 11ø22 4179.34
-0.404 Ok 3563.216 10ø22 3799.4
-0.129 Ok 3116.453 9ø22 4559.28
-0.031 Ok 4231.578 12ø22 3799.4
172
F F
As tul terpsng
AS Terpsng F0
FFmax mm2
mm²
-0.407 Ok 3557.617 10ø22 3799.4
-0.059 Ok 3912.576 11ø22 3419.46
-0.123 Ok 3185.758 9ø22 3419.46
-0.223 Ok 4022.484 11ø22 4179.34
-0.018 Ok 4378.825 12ø22 4559.28
0.006 Ok 4656.968 13ø22 4939.22
-0.425 Ok 3510.293 10ø23 3799.4
0.040 Ok 5048.128 14ø22 5319.16
0.034 Ok 4979.219 14ø22 5319.16
-0.431 Ok 3495.036 10ø22 3799.4
-0.117 Ok 3253.173 9ø22 3419.46
-0.359 Ok 3679.130 10ø22 3799.4
0.051 Ok 5175.482 14ø22 5319.16
-0.328 Ok 3756.019 10ø22 3799.4
0.007 Ok 4664.746 13ø22 4939.22
-0.398 Ok 3578.773 10ø22 3799.4
-0.198 Ok 3521.644 10ø22 3799.4
0.052 Ok 5184.307 14ø22 5319.16
0.205 Ok 5698.418 15ø22 5699.1
0.150 Ok 6312.607 17ø22 6458.98
0.191 Ok 5074.742 14ø22 5319.16
173
Tabel 4. 34 Tulangan Geser Gedung 1 Didaerah Sendi Plastis
LANTAI TIPE
FRAME b
h d
L V=Vu
V=Vu Vu
Terpakai Vn
Vc φ Vc2
φ Vc Vu
Φ Vc2 Vu
Φ Vc mm
mm mm
mm kg
N N
N N
N N
lantai atap
BA X 953
300 400
339 3500
7438.79 74387.900
67182.901 111971.501
86445 25934
51867 ok
ok BI
X 955
400 500 439 3500 16612.51 166125.100 145288.266 242147.110 149260 44778 89556 ok
ok BA Y
1004 300
400 339
3950 8136.89
81368.900 74385.594
123975.991 86445
25934 51867
ok ok
BI Y
986 400 600 539 3950 16939.31 169393.100 146278.447 243797.411 183260 54978 109956
ok ok
BTEPI 1019 200 400 339 2130 8739.35 87393.500 73484.394
122473.989 57630 17289 34578 ok
ok lantai 8
BA X
855 300 400 339 3950 14362.06 143620.600 131294.680 218824.467 86445 25934 51867
ok ok
BI X
850 400 600 539 3500 28646.30 286463.000 242347.698 403912.830 183260 54978 109956
ok ok
BA Y
897 300 400 339 3950 13503.30 135033.000 123444.092 205740.153 86445 25934 51867
ok ok
BI Y
881 400 600 539 3950 28614.72 286147.200 247100.785 411834.641 183260 54978 109956
ok ok
BTEPI 918
200 400 339 2500 10208.73 102087.300 88244.262 147073.770 57630 17289 34578 ok
ok lantai 7
BA X 743
300 400
339 3950
9108.59 91085.900
83268.654 138781.091
86445 25934
51867 ok
ok BI
X 757
400 600 539 3950 22506.65 225066.500 194354.894 323924.823 183260 54978 109956 ok
ok BA Y
812 300
400 339
2500 8159.08
81590.800 70527.088
117545.146 86445
25934 51867
ok ok
BI Y
774 400 600 539 3950 27988.43 279884.300 241692.493 402820.822 183260 54978 109956
ok ok
BTEPI 801 200 400 339
4830 6136.83
61368.300 57061.084
95101.807 57630 17289
34578 ok ok lantai 6
BA X 638
300 400
339 3950
9134.04 91340.400
83501.313 139168.854
86445 25934
51867 ok
ok BI
X 652
400 600 539 3950 23805.50 238055.000 205571.039 342618.399 183260 54978 109956 ok
ok BA
Y 685
300 400 339 3950 10624.08 106240.800 97122.919 161871.531 86445 25934 51867 ok
ok BI
Y 669
400 600 539 3950 29634.99 296349.900 255911.268 426518.780 183260 54978 109956 ok
ok BTEPI 696 200 300
239 4830
6250.85 62508.500
59415.429 99025.715
40630 12189 24378 ok ok
lantai 5 BA X
533 300
400 339
3950 9073.58
90735.800 82948.601
138247.668 86445
25934 51867
ok ok
BI X
535 400 600 539 3950 25227.30 252273.000 217848.912 363081.520 183260 54978 109956
ok ok
BA Y
580 300 400 339 3950 10672.90 106729.000 97569.220 162615.367 86445 25934 51867
ok ok
BI Y
564 400 600 539 3950 31089.52 310895.200 268471.779 447452.965 183260 54978 109956
ok ok
BTEPI 591 200 400 339
4830 6619.44
66194.400 61548.458
102580.763 57630 17289
34578 ok ok lantai 4
BA X
426 300 400 339 3950 27052.71 270527.100 247309.711 412182.852 86445 25934 51867
ok ok
174
LANTAI TIPE
FRAME b
h d
L V=Vu
V=Vu Vu
Terpakai Vn
Vc φ Vc2
φ Vc Vu
Φ Vc2 Vu
Φ Vc mm
mm mm
mm kg
N N
N N
N N
BI X
425 450 600 539 3950 55680.96 556809.600 480829.758 801382.931 206168 61850 123701
ok ok
BA Y
470 300 500 439 3950 29538.85 295388.500 262559.246 437598.744 111945 33584 67167
ok ok
BI Y
454 400 600 539 3950 42989.55 429895.500 371233.810 618723.017 183260 54978 109956
ok ok
BTEPI 498 200 400 339
2000 6125.56
61255.600 50872.776
84787.960 57630 17289
34578 ok ok lantai 3
BA X
267 300 400 339 3950 11803.52 118035.200 107905.090 179841.817 86445 25934 51867
ok ok
BI X
268 400 600 539 3950 33635.92 336359.200 290461.071 484101.785 183260 54978 109956
ok ok
BA Y
334 300 400 339 3950 10688.11 106881.100 97708.266 162847.111 86445 25934 51867
ok ok
BI Y
326 400 600 539 3950 34329.31 343293.100 296448.801 494081.335 183260 54978 109956
ok ok
BTEPI 358 200 400 339
4830 7447.84
74478.400 69251.034
115418.390 57630 17289
34578 ok ok lantai 2
BA X
148 300 400 339 5000 11072.85 110728.500 103221.108 172035.180 86445 25934 51867
ok ok
BI X
136 400 600 539 5000 32044.75 320447.500 285903.260 476505.433 183260 54978 109956
ok ok
BA Y
202 300 400 339 3950 10423.87 104238.700 95292.644 158821.074 86445 25934 51867
ok ok
BI Y
194 400 600 539 3950 32457.91 324579.100 280288.433 467147.388 183260 54978 109956
ok ok
BTEPI 226 200 400 339
4830 6394.26
63942.600 59454.703
99091.172 57630 17289
34578 ok ok lantai 1
BA X
2 300 400 339 5000 10970.54 109705.400 102267.374 170445.623 86445 25934 51867
ok ok
BI X
3 400 600 539 5000 16430.51 164305.100 146593.010 244321.684 183260 54978 109956
ok ok
BA Y
69 300 400 339 3950 10457.47 104574.700 95599.808 159333.013 86445 25934 51867
ok ok
BI Y
53 400 600 539 3950 30643.62 306436.200 264621.235 441035.392 183260 54978 109956
ok ok
BTEPI 93 200 400
339 4830
6549.98 65499.800
60902.609 101504.348
57630 17289
34578 ok ok lantai
bsmnt BA
X 1254
300 400 339 3950 23086.56 230865.600 211052.071 351753.452 86445 25934 51867 ok
ok BI
X 1257
400 600 539 3950 47125.04 471250.400 406945.599 678242.664 183260 54978 109956 ok
ok BA
Y 1319
300 400 339 2500 21336.37 213363.700 184431.582 307385.970 86445 25934 51867 ok
ok BI
Y 1293
400 600 539 4990 49893.83 498938.300 445044.965 741741.608 183260 54978 109956 ok
ok BTEPI
1313 200 400 339 4830 13720.64 137206.400 127576.386 212627.309 57630 17289 34578
ok ok
175
φ Vs φ Vs
max φ Vs Vs
max Av rencana
s Syarat
s Vn -
φ
Vc Tul
Terpakai 23fcbd
Vn-Vc23fcbd N
N mm²
mm s d2
N Penmpang cukup
15316 203400 ok
157 354 170
60105 ø10
- 150 339000.000
ok 55732 351200
ok 157
181 220 152591 ø10 -
175 585333.333 ok
22519 203400 ok
157 295 170
72109 ø10
- 150 339000.000
ok 36322 431200
ok 157
253 270 133841 ø10 -
225 718666.667 ok
38906 135600 ok
157 242 170
87896 ø10
- 150 226000.000
ok 79428 203400
ok 157
128 170 166957 ø10 -
100 339000.000 ok
132392 431200 ok
157 115 270
293957 ø10
- 100 718666.667
ok 71577 203400
ok 157
138 170 153873 ø10 -
125 339000.000 ok
137145 431200 ok
157 112 270
301879 ø10
- 100 718666.667
ok 53666 135600
ok 157
189 170 112496 ø10 -
150 226000.000 ok
31402 203400 ok
157 245 170
86914 ø10
- 150 339000.000
ok 84399 431200
ok 157
158 270 213969 ø10 -
150 718666.667 ok
18660 203400 ok
157 324 170
65678 ø10
- 150 339000.000
ok 131736 431200
ok 157
116 270 292865
ø10 -
150 718666.667 ok
22483 135600 ok
157 352 170
60524 ø10
- 150 226000.000
ok 31634 203400
ok 157
244 170 87302
ø10 -
150 339000.000 ok
95615 431200 ok
157 145 270 232662 ø10
- 125 718666.667
ok 45256 203400
ok 157
194 170 110005 ø10 -
150 339000.000 ok
145955 431200 ok
157 107 270
316563 ø10
- 100 718666.667
ok 35037 95600
ok 157
201 120 74648 ø10 -
100 159333.333 ok
31082 203400 ok
157 246 170
86381 ø10
- 150 339000.000
ok 107893 431200
ok 157
134 270 253126
ø10 -
125 718666.667 ok
45702 203400 ok
157 192 170 110748 ø10
- 150 339000.000
ok 158516 431200
ok 157
100 270 337497
ø10 -
100 718666.667 ok
26970 135600 ok
157 313 170
68003 ø10
- 150 226000.000
ok 195443
203400 ok
157 59
170 360316
ø10 - 50 339000.000
ok 357129
485100 ok
157 50
270 677682
ø10 - 50 808500.000
ok
176
φ Vs φ Vs
max φ Vs Vs
max Av rencana
s Syarat
s Vn -
φ
Vc Tul
Terpakai 23fcbd
Vn-Vc23fcbd N
N mm²
mm s d2
N Penmpang cukup
195392 263400
ok 157
74 220
370432 ø10 - 50
439000.000 ok
261278 431200
ok 157
67 270
508767 ø10 - 50
718666.667 ok
16295 135600 ok
157 424 170
50210 ø10
- 150 226000.000
ok 56038 203400
ok 157
166 170 127975 ø10 -
150 339000.000 ok
180505 431200
ok 157
90 270
374146 ø10 - 75
718666.667 ok
45841 203400 ok
157 192 170 110980 ø10
- 150 339000.000
ok 186493
431200 ok
157 88
270 384125
ø10 - 75 718666.667
ok 34673 135600
ok 157
263 170 80840
ø10 -
150 226000.000 ok
51354 203400 ok
157 177 170 120168 ø10
- 150 339000.000
ok 175947
431200 ok
157 92
270 366549
ø10 - 75 718666.667
ok 43426 203400
ok 157
199 170 106954 ø10 -
150 339000.000 ok
170332 431200 ok
157 95
270 357191
ø10 -
100 718666.667 ok
24877 135600 ok
157 330 170
64513 ø10
- 150 226000.000
ok 50400 203400
ok 157
180 170 118579 ø10 -
150 339000.000 ok
36637 431200 ok
157 252 270 134366 ø10
- 250 718666.667
ok 43733 203400
ok 157
198 170 107466 ø10 -
150 339000.000 ok
154665 431200 ok
157 102 270
331079 ø10
- 100 718666.667
ok 26325 135600
ok 157
318 170 66926
ø10 -
150 226000.000 ok
159185 203400
ok 157
71 170
299886 ø10 - 50
339000.000 ok
296990 431200
ok 157
60 270
568287 ø10 - 50
718666.667 ok
132565 203400
ok 157
83 170
255519 ø10 - 75
339000.000 ok
335089 431200
ok 157
54 270
631786 ø10 - 50
718666.667 ok
92998 135600 ok
157 120 170 178049 ø10
- 100 226000.000
ok
177
Tabel 4. 35 Tulangan Geser Gedung 1 Di Luar Daerah Sendi Plastis
LANTAI TIPE
FRAME b
h d
L V=Vu
V=Vu Vu
Terpakai Vn
Vc φ Vc2
φ Vc Vu
Φ Vc2
Vu Φ Vc
mm mm
mm mm
kg N
N N
N
lantai atap
BA X 953
300 400 339 3500
7438.79
74387.900 57384.951 95641.586 86445 25934 51867 ok
ok BI X
955 400 500 439 3500
16612.51
166125.100 118660.786 197767.976 149260 44778 89556
ok ok
BA Y 1004
300 400 339 3950
8136.89
81368.900 64889.123 108148.538 86445 25934 51867
ok ok
BI Y 986
400 600 539 3950
16939.31
169393.100 117931.905 196553.175 183260 54978 109956
ok ok
BTEPI 1019
200 400 339 2130
8739.35
87393.500 54569.650 90949.417 57630 17289 34578 ok
ok lantai 8
BA X 855
300 400 339 3950
14362.06
143620.600 114532.884 190888.139 86445 25934 51867
ok ok
BI X 850
400 600 539 3500
28646.30
286463.000 188247.114 313745.190 183260 54978 109956
ok ok
BA Y 897 300 400 339 3950 13503.30 135033.000
107684.544 179474.241 86445 25934 51867 ok
ok BI
Y 881 400 600 539 3950 28614.72 286147.200 199216.405
332027.342 183260 54978 109956 ok
ok BTEPI 918 200 400 339 2500 10208.73 102087.300
69419.364 115698.940 57630 17289 34578 ok ok
lantai 7 BA
X 743 300 400 339 3950 9108.59 91085.900 72638.123 121063.538 86445 25934 51867 ok
ok BI
X 757 400 600 539 3950 22506.65 225066.500 156691.867
261153.112 183260 54978 109956 ok
ok BA
Y 812 300 400 339 2500 8159.08 81590.800 55481.744 92469.573 86445 25934 51867 ok
ok BI
Y 774 400 600 539 3950 27988.43 279884.300 194856.158
324760.264 183260 54978 109956 ok
ok BTEPI 801 200 400 339 4830 6136.83 61368.300 51203.778 85339.630 57630 17289 34578
ok ok
lantai 6 BA
X 638 300 400 339 3950 9134.04 91340.400 72841.078 121401.797 86445 25934 51867 ok
ok BI
X 652 400 600 539 3950 23805.50 238055.000 165734.494
276224.156 183260 54978 109956 ok
ok BA
Y 685 300 400 339 3950 10624.08 106240.800 84723.676 141206.127 86445 25934 51867 ok
ok BI
Y 669 400 600 539 3950 29634.99 296349.900 206319.551
343865.918 183260 54978 109956 ok
ok BTEPI 696 200 300 239 4830 6250.85 62508.500 54743.469 91239.115 40630 12189 24378
ok ok
lantai 5 BA
X 533 300 400 339 3950 9073.58 90735.800 72358.929 120598.215 86445 25934 51867 ok
ok BI
X 535 400 600 539 3950 25227.30 252273.000 175633.101
292721.835 183260 54978 109956 ok
ok BA
Y 580 300 400 339 3950 10672.90 106729.000 85113.000 141855.000 86445 25934 51867 ok
ok BI
Y 564 400 600 539 3950 31089.52 310895.200 216446.025
360743.376 183260 54978 109956 ok
ok BTEPI 591 200 400 339 4830 6619.44 66194.400 55230.524 92050.874 57630 17289 34578
ok ok
lantai 4 BA
X 426 300 400 339 3950 27052.71 270527.100 215736.801
359561.335 86445 25934 51867 ok ok
178
LANTAI TIPE
FRAME b
h d
L V=Vu
V=Vu Vu
Terpakai Vn
Vc φ Vc2
φ Vc Vu
Φ Vc2
Vu Φ Vc
mm mm
mm mm
kg N
N N
N BI
X 425 400 600 539 3950 55680.96 556809.600 387652.253
646087.089 183260 54978 109956 ok
ok BA
Y 470 300 400 339 3950 29538.85 295388.500 235562.981
392604.968 86445 25934 51867 ok ok
BI Y 454 400 600 539 3950 42989.55 429895.500
299294.335 498823.892
183260 54978 109956 ok ok
BTEPI 498 200 400 339 2000 6125.56 61255.600 36753.360 61255.600 57630 17289 34578 ok
ok lantai 3
BA X 267 300 400 339 3950 11803.52 118035.200
94129.337 156882.228 86445 25934 51867 ok ok
BI X 268 400 600 539 3950 33635.92 336359.200
234174.127 390290.211
183260 54978 109956 ok ok
BA Y 334 300 400 339 3950 10688.11 106881.100
85234.295 142057.158 86445 25934 51867 ok ok
BI Y 326 400 600 539 3950 34329.31 343293.100
239001.525 398335.876
183260 54978 109956 ok ok
BTEPI 358 200 400 339 4830 7447.84 74478.400 62142.433 103570.722 57630 17289 34578 ok
ok lantai 2
BA X 148 300 400 339 5000 11072.85 110728.500
93011.940 155019.900 86445 25934 51867 ok ok
BI X 136 400 600 539 5000 32044.75 320447.500
243540.100 405900.167
183260 54978 109956 ok ok
BA Y 202 300 400 339 3950 10423.87 104238.700
83127.065 138545.108 86445 25934 51867 ok ok
BI Y 194 400 600 539 3950 32457.91 324579.100
225972.791 376621.319
183260 54978 109956 ok ok
BTEPI 226 200 400 339 4830 6394.26 63942.600 53351.693 88919.489 57630 17289 34578 ok
ok lantai 1
BA X
2 300 400 339 5000 10970.54 109705.400 92152.536 153587.560 86445 25934 51867 ok
ok BI
X 3 400 600 539 5000 16430.51 164305.100
124871.876 208119.793
183260 54978 109956 ok ok
BA Y 69 300 400 339 3950 10457.47 104574.700
83395.014 138991.690 86445 25934 51867 ok ok
BI Y
53 400 600 539 3950 30643.62 306436.200 213341.658
355569.430 183260 54978 109956 ok
ok BTEPI 93 200 400 339 4830 6549.98 65499.800 54650.972 91084.953 57630 17289 34578
ok ok
lantai bsmnt
BA X 1254 300 400 339 3950 23086.56 230865.600
184108.010 306846.684 86445 25934 51867 ok
ok BI
X 1257 400 600 539 3950 47125.04 471250.400 328085.722
546809.536 183260 54978 109956 ok
ok BA
Y 1319 300 400 339 2500 21336.37 213363.700 145087.316
241812.193 86445 25934 51867 ok ok
BI Y 1293 400 600 539 4990 49893.83 498938.300
378953.138 631588.563
183260 54978 109956 ok ok
BTEPI 1313 200 400 339 4830 13720.64 137206.400 114480.702
190801.170 57630 17289 34578 ok ok
179
φ Vs φ Vs
max φ Vs Vs
max Av rencana
s Syarat
s Vn -
φ
Vc Tul
Terpakai 23fcbd
Vn-Vc23fcbd mm²
mm s d2
N Penmpang cukup
5518 203400 ok
157 486 170 43775 ø10
- 150 339000.000
ok 29105 351200
ok 157
255 220 108212 ø10 -
200 585333.333 ok
13022 203400 ok
157 378 170
56282 ø10
- 150 339000.000
ok 7976 431200
ok 157
391 270 86597 ø10 -
250 718666.667 ok
19992 135600 ok
157 378 170
56371 ø10
- 150 226000.000
ok 62666 203400
ok 157
153 170 139021 ø10 -
150 339000.000 ok
78291 431200 ok
157 166 270 203789 ø10
- 150 718666.667
ok 55818 203400
ok 157
167 170 127607 ø10 -
150 339000.000 ok
89260 431200 ok
157 152 270 222071 ø10
- 150 718666.667
ok 34841 135600
ok 157
262 170 81121
ø10 -
150 226000.000 ok
20771 203400 ok
157 308 170
69197 ø10
- 150 339000.000
ok 46736 431200
ok 157
224 270 151197 ø10 -
200 718666.667 ok
3615 203400 ok
157 524 170 40603 ø10
- 150 339000.000
ok 84900 431200
ok 157
158 270 214804 ø10 -
150 718666.667 ok
16626 135600 ok
157 419 170
50762 ø10
- 150 226000.000
ok 20974 203400
ok 157
306 170 69535
ø10 -
150 339000.000 ok
55778 431200 ok
157 204 270 166268 ø10
- 200 718666.667
ok 32857 203400
ok 157
238 170 89339
ø10 -
150 339000.000 ok
96364 431200 ok
157 145 270 233910 ø10
- 100 718666.667
ok 30365 95600
ok 157
224 120 66861 ø10 -
100 159333.333 ok
20492 203400 ok
157 310 170
68731 ø10
- 150 339000.000
ok 65677 431200
ok 157
185 270 182766 ø10 -
175 718666.667 ok
33246 203400 ok
157 237 170
89988 ø10
- 150 339000.000
ok 106490 431200
ok 157
135 270 250787
ø10 -
100 718666.667 ok
20653 135600 ok
157 370 170
57473 ø10
- 150 226000.000
ok 163870
203400 ok
157 69
170 307694
ø10 - 50 339000.000
ok 277696
431200 ok
157 63
270 536131
ø10 - 50 718666.667
ok
180
φ Vs φ Vs
max φ Vs Vs
max Av rencana
s Syarat
s Vn -
φ
Vc Tul
Terpakai 23fcbd
Vn-Vc23fcbd mm²
mm s d2
N Penmpang cukup
183696 203400
ok 157
62 170
340738 ø10 - 50
339000.000 ok
189338 431200
ok 157
87 270
388868 ø10 - 75
718666.667 ok
2175 135600 ok
157 798 170 26678 ø10
- 150 226000.000
ok 42262 203400
ok 157
203 170 105015 ø10 -
150 339000.000 ok
124218 431200 ok
157 121 270
280334 ø10
- 100 718666.667
ok 33367 203400
ok 157
236 170 90190
ø10 -
150 339000.000 ok
129046 431200 ok
157 117 270
288380 ø10
- 100 718666.667
ok 27564 135600
ok 157
309 170 68993
ø10 -
150 226000.000 ok
41145 203400 ok
157 206 170 103153 ø10
- 150 339000.000
ok 133584 431200
ok 157
114 270 295944
ø10 -
100 718666.667 ok
31260 203400 ok
157 246 170
86678 ø10
- 150 339000.000
ok 116017 431200
ok 157
127 270 266665
ø10 -
100 718666.667 ok
18774 135600 ok
157 392 170
54341 ø10
- 150 226000.000
ok 40286 203400
ok 157
209 170 101721 ø10 -
150 339000.000 ok
14916 431200 ok
157 345 270
98164 ø10
- 250 718666.667
ok 31528 203400
ok 157
244 170 87125
ø10 -
150 339000.000 ok
103386 431200 ok
157 138 270
245613 ø10
- 100 718666.667
ok 20073 135600
ok 157
377 170 56507
ø10 -
150 226000.000 ok
132241 203400
ok 157
83 170
254980 ø10 - 75
339000.000 ok
218130 431200
ok 157
77 270
436854 ø10 - 75
718666.667 ok
93220 203400 ok
157 112 170 189945 ø10
- 100 339000.000
ok 268997
431200 ok
157 65
270 521633
ø10 - 50 718666.667
ok 79903 135600
ok 157
136 170 156223 ø10 -
100 226000.000 ok
181
Tabel 4. 36 Tulangan Geser Gedung 2 Didaerah Sendi Plastis
LANTAI TIPE
FRAME b
h d
L V=Vu
V=Vu Vu Terpakai
Vn Vc
φ Vc2 φ Vc
Vu Φ
Vc2 Vu
Φ Vc
mm mm
mm mm
kg N
N N
N
lantai atap
BA X 961
300 400 339 4000 9125.30 91253.000
83519.308 139198.847 86445 25934 51867 ok
ok BI X
964 400 600 539 5000 17770.25
177702.500 158546.171 264243.618 183260 54978 109956
ok ok
BA Y 989
300 400 339 3950 8211.19 82111.900
75064.828 125108.047 86445 25934 51867 ok
ok BI Y
977 400 600 539 3950 17270.61
172706.100 149139.369 248565.615 183260 54978 109956
ok ok
BTEPI 1006
350 400 339 3950 9980.6 99806.000
91240.371 152067.285 100853 30256 60512 ok
ok lantai 8
BA X 825
300 400 339 4000 13632.97 136329.700
124775.758 207959.597 86445 25934 51867 ok
ok BI X
852 400 600 539 5000 21992.47
219924.700 196216.817 327028.029 183260 54978 109956
ok ok
BA Y 885
300 400 339 3950 12261.82 122618.200
112094.765 186824.608 86445 25934 51867 ok
ok BI Y
865 400 600 539 3950 29974.49
299744.900 258843.001 431405.002 183260 54978 109956
ok ok
BTEPI 894
300 400 339 3950 17264.82 172648.200
157831.051 263051.751 86445 25934 51867 ok
ok lantai 7
BA X 715
300 400 339 4000 15955.75 159557.500
146035.002 243391.670 86445 25934 51867 ok
ok BI X
740 400 600 539 5000 24377.62
243776.200 217497.126 362495.209 183260 54978 109956
ok ok
BA Y 772
300 400 339 3950 14918.36 149183.600
136380.248 227300.413 86445 25934 51867 ok
ok BI Y
753 400 600 539 3950 28983.91
289839.100 250288.904 417148.173 183260 54978 109956
ok ok
BTEPI 782
200 400 339 3950 18569.15 185691.500
169754.938 282924.897 57630 17289 34578 ok
ok lantai 6
BA X 603
300 400 339 4000 15949.92 159499.200
145981.643 243302.738 86445 25934 51867 ok
ok BI X
628 400 600 539 5000 24289.08
242890.800 216707.172 361178.620 183260 54978 109956
ok ok
BA Y 660
300 400 339 3950 14939.05 149390.500
136569.391 227615.652 86445 25934 51867 ok
ok BI Y
648 400 600 539 3950 33055.30
330553.000 285447.160 475745.267 183260 54978 109956
ok ok
BTEPI 670
300 400 339 3950 19816.79 198167.900
181160.579 301934.298 86445 25934 51867 ok
ok lantai 5
BA X 491
300 400 339 4000 15965.56 159655.600
146124.788 243541.313 86445 25934 51867 ok
ok BI X
516 400 600 539 5000 26373.67
263736.700 235305.884 392176.473 183260 54978 109956
ok ok
BA Y 548
300 400 339 3950 12877.64 128776.400
117724.451 196207.418 86445 25934 51867 ok
ok BI Y
529 400 600 539 3950 28925.76
289257.600 249786.753 416311.255 183260 54978 109956
ok ok
BTEPI 558
350 400 339 3950 20694.77 206947.700
189186.872 315311.453 100853 30256 60512 ok
ok lantai 4
BA X 388
300 400 339 3500 15590.05 155900.500
140800.423 234667.372 86445 25934 51867 ok
ok
182
LANTAI TIPE
FRAME b
h d
L V=Vu
V=Vu Vu Terpakai
Vn Vc
φ Vc2 φ Vc
Vu Φ
Vc2 Vu
Φ Vc
mm mm
mm mm
kg N
N N
N BI X
391 400 600 539 5000 29725.74
297257.400 265213.052 442021.754 183260 54978 109956
ok ok
BA Y 435
300 400 339 3950 16064.33 160643.300
146856.445 244760.741 86445 25934 51867 ok
ok BI Y
404 400 600 539 3950 32798.49
327984.900 283229.492 472049.154 183260 54978 109956
ok ok
BTEPI 432
300 400 339 3950 21969.66 219696.600
200841.626 334736.043 86445 25934 51867 ok
ok lantai 3
BA X 263
300 400 339 3500 16891.00 168910.000
152549.860 254249.767 86445 25934 51867 ok
ok BI X
265 400 600 539 3500 34585.12
345851.200 292590.115 487650.192 183260 54978 109956
ok ok
BA Y 310
300 400 339 3950 16720.72 167207.200
152857.012 254761.687 86445 25934 51867 ok
ok BI Y
278 400 600 539 3950 38165.77
381657.700 329578.333 549297.221 183260 54978 109956
ok ok
BTEPI 307
300 400 339 3950 24337.67 243376.700
222489.434 370815.723 86445 25934 51867 ok
ok lantai 2
BA X 151
300 400 339 3500 15874.13 158741.300
143366.071 238943.452 86445 25934 51867 ok
ok BI X
153 400 600 539 3500 28458.28
284582.800 240757.049 401261.748 183260 54978 109956
ok ok
BA Y 198
300 400 339 3950 15639.91 156399.100
142976.494 238294.156 86445 25934 51867 ok
ok BI Y
168 400 600 539 3300 50634.38
506343.800 423640.979 706068.299 183260 54978 109956
ok ok
BTEPI 196
300 400 339 3950 23114.71 231147.100
211309.412 352182.354 86445 25934 51867 ok
ok lantai 1
BA X 39
300 400 339 3500 15934.81 159348.100
143914.098 239856.831 86445 25934 51867 ok
ok BI X
41 400 600 539 3500 32141.15
321411.500 271914.129 453190.215 183260 54978 109956
ok ok
BA Y 86
300 500 439 3950 15719.96 157199.600
139728.556 232880.926 111945 33584 67167 ok
ok BI Y
54 400 600 539 3950 34039.31
340393.100 293944.523 489907.538 183260 54978 109956
ok ok
BTEPI 84
300 400 339 3950 21773.88 217738.800
199051.850 331753.083 86445 25934 51867 ok
ok lantai
bsmnt BA X
1073 400 500 439 3500 38011.97
380119.700 332441.829 554069.715 149260 44778 89556
ok ok
BI X 1075
400 700 639 3500 68451.46 684514.600
559541.792 932569.653 217260 65178 130356 ok
ok BA Y
1126 300 400 339 3300 18776.56
187765.600 168476.952 280794.920 86445 25934 51867
ok ok
BI Y 1088
650 700 639 3950 72891.92 728919.200
611000.372 1018333.954 353048 105914 211829 ok
ok BTEPI
1086 300 500 439 5000 36131.45
361314.500 329591.087 549318.478 111945 33584 67167
ok ok
183
φ Vs φ Vs
max φ Vs Vs
max Av rencana
s Syarat
s Vn -
φ
Vc Tul
Terpakai 23fcbd
Vn-Vc23fcbd mm²
mm s d2
N Penmpang cukup
31652 203400 ok
157 244 170
87332 ø10
- 150 339000.000
ok 48590 431200
ok 157
219 270 154288 ø10 -
200 718666.667 ok
23198 203400 ok
157 291 170
73241 ø10
- 150 339000.000
ok 39183 431200
ok 157
244 270 138610 ø10 -
200 718666.667 ok
30729 237300 ok
157 233 170
91556 ø10
- 150 395500.000
ok 72909 203400
ok 157
136 170 156093 ø10 -
100 339000.000 ok
86261 431200 ok
157 156 270 217072 ø10
- 150 718666.667
ok 60228 203400
ok 157
158 170 134958 ø10 -
150 339000.000 ok
148887 431200 ok
157 105 270
321449 ø10
- 100 718666.667
ok 105964 203400
ok 157
101 170 211185
ø10 -
100 339000.000 ok
94168 203400 ok
157 111 170 191525 ø10
- 100 339000.000
ok 107541 431200
ok 157
134 270 252539
ø10 -
125 718666.667 ok
84513 203400 ok
157 121 170 175433 ø10
- 100 339000.000
ok 140333 431200
ok 157
110 270 307192
ø10 -
100 718666.667 ok
135177 135600
ok 157
86 170
248347 ø10 - 75
226000.000 ok
94115 203400 ok
157 111 170 191436 ø10
- 100 339000.000
ok 106751 431200
ok 157
135 270 251223
ø10 -
100 718666.667 ok
84702 203400 ok
157 121 170 175749 ø10
- 100 339000.000
ok 175491
431200 ok
157 93
270 365789
ø10 - 75 718666.667
ok 129294
203400 ok
157 85
170 250067
ø10 - 75 339000.000
ok 94258 203400
ok 157
111 170 191674 ø10 -
100 339000.000 ok
125350 431200 ok
157 120 270
282220 ø10
- 100 718666.667
ok 65857 203400
ok 157
147 170 144340 ø10 -
125 339000.000 ok
139831 431200 ok
157 110 270
306355 ø10
- 100 718666.667
ok 128675
237300 ok
157 84
170 254800
ø10 - 75 395500.000
ok 88933 203400
ok 157
116 170 182800 ø10 -
100 339000.000 ok
155257 431200 ok
157 102 270
332066 ø10
- 100 718666.667
ok
184
φ Vs φ Vs
max φ Vs Vs
max Av rencana
s Syarat
s Vn -
φ
Vc Tul
Terpakai 23fcbd
Vn-Vc23fcbd mm²
mm s d2
N Penmpang cukup
94989 203400 ok
157 110 170 192894 ø10
- 100 339000.000
ok 173273
431200 ok
157 93
270 362093
ø10 - 75 718666.667
ok 148975
203400 ok
157 75
170 282869
ø10 - 75 339000.000
ok 100683 203400
ok 157
105 170 202383
ø10 -
100 339000.000 ok
182634 431200
ok 157
90 270
377694 ø10 - 75
718666.667 ok
100990 203400 ok
157 105 170
202895 ø10
- 100 339000.000
ok 219622
431200 ok
157 77
270 439341
ø10 - 75 718666.667
ok 170622
203400 ok
157 67
170 318949
ø10 - 50 339000.000
ok 91499 203400
ok 157
114 170 187076 ø10 -
100 339000.000 ok
130801 431200 ok
157 116 270
291306 ø10
- 100 718666.667
ok 91109 203400
ok 157
114 170 186427 ø10 -
100 339000.000 ok
313685 431200
ok 157
57 270
596112 ø10 - 50
718666.667 ok
159442 203400
ok 157
71 170
300315 ø10 - 50
339000.000 ok
92047 203400 ok
157 113 170 187990 ø10
- 100 339000.000
ok 161958
431200 ok
157 99
270 343234
ø10 - 75 718666.667
ok 72562 263400
ok 157
166 220 165714 ø10 -
150 439000.000 ok
183989 431200
ok 157
89 270
379952 ø10 - 75
718666.667 ok
147185 203400
ok 157
76 170
279886 ø10 - 75
339000.000 ok
242886 351200
ok 157
59 220
464514 ø10 - 50
585333.333 ok
429186 511200
ok 157
50 320
802214 ø10 - 50
852000.000 ok
116610 203400
ok 157
93 170
228928 ø10 - 75
339000.000 ok
399172 830700
ok 157
50 320
806505 ø10 - 50
1384500.000 ok
262424 263400
ok 157
57 220
482151 ø10 - 50
439000.000 ok
185
Tabel 4. 37 Tulangan Geser Gedung 2 Di Luar Daerah Sendi Plastis
LANTAI TIPE
FRAME b
h d
L V=Vu
V=Vu Vu
Terpakai Vn
Vc φ Vc2
φ Vc Vu
Φ Vc2
Vu Φ
Vc mm
mm mm
mm kg
N N
N N
lantai atap
BA X 961
300 400 339 4000 9125.30 91253.000
73002.400 121670.667 86445 25934 51867 ok
ok BI X
964 400 600 539 5000
17770.25 177702.500
135053.900 225089.833 183260 54978 109956 ok
ok BA Y
989 300 400 339 3950 8211.19
82111.900 65481.642 109136.070 86445 25934 51867
ok ok
BI Y 977
400 600 539 3950 17270.61
172706.100 120238.424 200397.373 183260 54978 109956
ok ok
BTEPI 1006
350 400 339 3950 9980.6 99806.000
79592.127 132653.544 100853 30256 60512 ok
ok lantai 8
BA X 825
300 400 339 4000 13632.97
136329.700 109063.760 181772.933 86445 25934 51867
ok ok
BI X 852
400 600 539 5000 21992.47
219924.700 167142.772 278571.287 183260 54978 109956
ok ok
BA Y 885
300 400 339 3950 12261.82
122618.200 97784.134 162973.557 86445 25934 51867
ok ok
BI Y 865
400 600 539 3950 29974.49
299744.900 208683.158 347805.264 183260 54978 109956
ok ok
BTEPI 894
300 400 339 3950 17264.82
172648.200 137681.476 229469.127 86445 25934 51867
ok ok
lantai 7 BA X
715 300 400 339 4000
15955.75 159557.500
127646.000 212743.333 86445 25934 51867 ok
ok BI X
740 400 600 539 5000
24377.62 243776.200
185269.912 308783.187 183260 54978 109956 ok
ok BA Y
772 300 400 339 3950
14918.36 149183.600
118969.200 198282.000 86445 25934 51867 ok
ok BI Y
753 400 600 539 3950
28983.91 289839.100
201786.715 336311.192 183260 54978 109956 ok
ok BTEPI
782 200 400 339 3950
18569.15 185691.500
148083.095 246805.158 57630 17289 34578 ok
ok lantai 6
BA X 603
300 400 339 4000 15949.92
159499.200 127599.360 212665.600 86445 25934 51867
ok ok
BI X 628
400 600 539 5000 24289.08
242890.800 184597.008 307661.680 183260 54978 109956
ok ok
BA Y 660
300 400 339 3950 14939.05
149390.500 119134.196 198556.994 86445 25934 51867
ok ok
BI Y 648
400 600 539 3950 33055.30
330553.000 230131.835 383553.059 183260 54978 109956
ok ok
BTEPI 670
200 400 339 3950 19816.79
198167.900 158032.629 263387.715 57630 17289 34578
ok ok
lantai 5 BA X
491 300 400 339 4000
15965.56 159655.600
127724.480 212874.133 86445 25934 51867 ok
ok BI X
516 400 600 539 5000
26373.67 263736.700
200439.892 334066.487 183260 54978 109956 ok
ok BA Y
548 300 400 339 3950
12877.64 128776.400
102695.104 171158.506 86445 25934 51867 ok
ok BI Y
529 400 600 539 3950
28925.76 289257.600
201381.873 335636.456 183260 54978 109956 ok
ok BTEPI
558 350 400 339 3950
20694.77 206947.700
165034.242 275057.070 100853 30256 60512 ok
ok
186
LANTAI TIPE
FRAME b
h d
L V=Vu
V=Vu Vu
Terpakai Vn
Vc φ Vc2
φ Vc Vu
Φ Vc2
Vu Φ
Vc mm
mm mm
mm kg
N N
N N
lantai 4 BA X
388 300 400 339 3500
15590.05 155900.500
120266.100 200443.500 86445 25934 51867 ok
ok BI X
391 400 600 539 5000
29725.74 297257.400
225915.624 376526.040 183260 54978 109956 ok
ok BA Y
435 300 400 339 3950
16064.33 160643.300
128107.948 213513.247 86445 25934 51867 ok
ok BI Y
404 400 600 539 3950
32798.49 327984.900
228343.918 380573.196 183260 54978 109956 ok
ok BTEPI
432 300 400 339 3950
21969.66 219696.600
175201.086 292001.810 86445 25934 51867 ok
ok lantai 3
BA X 263
300 400 339 3500 16891.00
168910.000 130302.000 217170.000 86445 25934 51867
ok ok
BI X 265
400 600 539 3500 34585.12
345851.200 227273.646 378789.410 183260 54978 109956
ok ok
BA Y 310
300 400 339 3950 16720.72
167207.200 133342.451 222237.418 86445 25934 51867
ok ok
BI Y 278
400 600 539 3950 38165.77
381657.700 265711.057 442851.762 183260 54978 109956
ok ok
BTEPI 307
300 400 339 3950 24337.67
243376.700 194085.216 323475.361 86445 25934 51867
ok ok
lantai 2 BA X
151 300 400 339 3500
15874.13 158741.300
122457.574 204095.957 86445 25934 51867 ok
ok BI X
153 400 600 539 3500
28458.28 284582.800
187011.554 311685.924 183260 54978 109956 ok
ok BA Y
198 300 400 339 3950
15639.91 156399.100
124723.333 207872.222 86445 25934 51867 ok
ok BI Y
168 400 600 539 3300
50634.38 506343.800
322218.782 537031.303 183260 54978 109956 ok
ok BTEPI
196 300 400 339 3950
23114.71 231147.100
184332.497 307220.829 86445 25934 51867 ok
ok lantai 1
BA X 39
300 400 339 3500 15934.81
159348.100 122925.677 204876.129 86445 25934 51867
ok ok
BI X 41
400 600 539 3500 32141.15
321411.500 211213.271 352022.119 183260 54978 109956
ok ok
BA Y 86
300 500 439 3950 15719.96
157199.600 117402.233 195670.388 111945 33584 67167
ok ok
BI Y 54
400 600 539 3950 34039.31
340393.100 236982.538 394970.897 183260 54978 109956
ok ok
BTEPI 84
300 400 339 3950 21773.88
217738.800 173639.803 289399.671 86445 25934 51867
ok ok
lantai bsmnt
BA X 1073
300 500 439 3500 38011.97
380119.700 271514.071 452523.452 111945 33584 67167
ok ok
BI X 1075
400 600 539 3500 68451.46
684514.600 449823.880 749706.467 183260 54978 109956
ok ok
BA Y 1126
300 400 339 3300 18776.56
187765.600 142246.667 237077.778 86445 25934 51867
ok ok
BI Y 1088
500 650 589 3950 72891.92
728919.200 489021.742 815036.236 250325 75098 150195
ok ok
BTEPI 1086
400 500 439 5000 36131.45
361314.500 289051.600 481752.667 149260 44778 89556
ok ok
187
φ Vs φ Vs max
φ Vs Vs max Av rencana
s Syarat s
Vn -
φ
Vc Tul Terpakai
23fcbd Vn-Vc23fcbd
mm² mm
s d2 N
Penmpang cukup
21135 203400 ok
157 305 170 69804 ø10
- 150
339000.000 ok
25098 431200
ok 157
294 270
115134 ø10 - 250
718666.667 ok
13615 203400 ok
157 372 170 57269 ø10
- 150
339000.000 ok
10282 431200 ok
157 374 270 90441 ø10
- 250
718666.667 ok
19081 237300 ok
157 295 170 72142 ø10
- 150
395500.000 ok
57197 203400
ok 157
164 170
129906 ø10 - 150
339000.000 ok
57187 431200
ok 157
201 270
168615 ø10 - 200
718666.667 ok
45917 203400
ok 157
192 170
111107 ø10 - 175
339000.000 ok
98727 431200
ok 157
142 270
237849 ø10 - 125
718666.667 ok
85814 203400
ok 157
120 170
177602 ø10 - 100
339000.000 ok
75779 203400
ok 157
132 170
160876 ø10 - 125
339000.000 ok
75314 431200
ok 157
170 270
198827 ø10 - 150
718666.667 ok
67102 203400
ok 157
145 170
146415 ø10 - 125
339000.000 ok
91831 431200
ok 157
150 270
226355 ø10 - 125
718666.667 ok
113505 135600
ok 157
100 170
212227 ø10 - 100
226000.000 ok
75732 203400
ok 157
132 170
160799 ø10 - 150
339000.000 ok
74641 431200
ok 157
171 270
197706 ø10 - 150
718666.667 ok
67267 203400
ok 157
145 170
146690 ø10 - 125
339000.000 ok
120176 431200
ok 157
124 270
273597 ø10 - 100
718666.667 ok
123455 135600
ok 157
93 170
228810 ø10 - 75
226000.000 ok
75857 203400
ok 157
132 170
161007 ø10 - 125
339000.000 ok
90484 431200
ok 157
151 270
224110 ø10 - 150
718666.667 ok
50828 203400
ok 157
178 170
119292 ø10 - 150
339000.000 ok
91426 431200
ok 157
150 270
225680 ø10 - 150
718666.667 ok
104523 237300
ok 157
99 170
214546 ø10 - 75
395500.000 ok
68399 203400
ok 157
143 170
148577 ø10 - 125
339000.000 ok
115960 431200
ok 157
127 270
266570 ø10 - 125
718666.667 ok
188
φ Vs φ Vs max
φ Vs Vs max Av rencana
s Syarat s
Vn -
φ
Vc Tul Terpakai
23fcbd Vn-Vc23fcbd
mm² mm
s d2 N
Penmpang cukup
76241 203400
ok 157
132 170
161646 ø10 - 125
339000.000 ok
118388 431200
ok 157
125 270
270617 ø10 - 125
718666.667 ok
123334 203400
ok 157
89 170
240135 ø10 - 75
339000.000 ok
78435 203400
ok 157
129 170
165303 ø10 - 150
339000.000 ok
117318 431200
ok 157
126 270
268833 ø10 - 125
718666.667 ok
81475 203400
ok 157
125 170
170370 ø10 - 125
339000.000 ok
155755 431200
ok 157
102 270
332896 ø10 - 100
718666.667 ok
142218 203400
ok 157
78 170
271608 ø10 - 75
339000.000 ok
70591 203400
ok 157
140 170
152229 ø10 - 125
339000.000 ok
77056 431200
ok 157
168 270
201730 ø10 - 150
718666.667 ok
72856 203400
ok 157
136 170
156005 ø10 - 125
339000.000 ok
212263 431200
ok 157
79 270
427075 ø10 - 75
718666.667 ok
132465 203400
ok 157
83 170
255354 ø10 - 75
339000.000 ok
71059 203400
ok 157
139 170
153009 ø10 - 125
339000.000 ok
101257 431200
ok 157
140 270
242066 ø10 - 125
718666.667 ok
50235 263400
ok 157
215 220
128503 ø10 - 200
439000.000 ok
127027 431200
ok 157
119 270
285015 ø10 - 100
718666.667 ok
121773 203400
ok 157
90 170
237533 ø10 - 75
339000.000 ok
204347 263400
ok 157
72 220
385356 ø10 - 75
439000.000 ok
339868 431200
ok 157
53 270
639750 ø10 - 50
718666.667 ok
90380 203400
ok 157
115 170
185211 ø10 - 100
339000.000 ok
338827 589000
ok 157
56 295
664841 ø10 - 50
981666.667 ok
199496 351200
ok 157
70 220
392197 ø10 - 50
585333.333 ok
189
Tabel 4. 38 Tulangan Torsi Gedung 1
Lantai Tipe
Frame Tu
Tu Tn
Vu Vu
b h
d x1
kgm Nmm
Nmm kg
N mm
mm mm
mm
Lantai Atap BA X
953
77.35
773500 1031333.333 7438.79 74387.900 300 400
339 210 BI X
955
642.15
6421500 8562000.000 16612.51 166125.100 400 500 439 310 BA Y
1004
85.44
854400 1139200.000 8136.89 81368.900 300 400
339 210 BI Y
986
1200.26
12002600 16003466.667 16939.31 169393.100 400 600 539 310 BTEPI
1019
1508.77
15087700 20116933.333 8739.35 87393.500 200 400 339 110
Lantai 8 BA X
855
161.08
1610800 2147733.333 14362.06 143620.600 300 400 339 210 BI X
850
1358.77
13587700 18116933.333 28646.30 286463.000 400 600 539 310 BA Y
897
136.79
1367900 1823866.667 13503.30 135033.000 300 400 339 210 BI Y
881 2701.31 27013100 36017466.667 28614.72 286147.200 400 600 539 310
BTEPI 918
5518.62 55186200 73581600.000 10208.73 102087.300 400 500 439 310 Lantai 7
BA X 743
277.86 2778600 3704800.000 9108.59 91085.900 300 400
339 210
BI X 757
2399.91 23999100 31998800.000 22506.65 225066.500 400 600 539 310 BA Y
812 225.41 2254100 3005466.667 8159.08 81590.800 300
400 339
210 BI Y
774 1906.49 19064900 25419866.667 27988.43 279884.300 400 600 539 310
BTEPI 801
399.5 3995000 5326666.667 6136.83 61368.300
200 400
339 110
Lantai 6 BA X
638 322.22 3222200 4296266.667 9134.04 91340.400 300
400 339
210 BI X
652 2773.75 27737500 36983333.333 23805.50 238055.000 400 600 539 310
BA Y 685
284.80 2848000 3797333.333 10624.08 106240.800 300
400 339
210 BI Y
669 2376.07 23760700 31680933.333 29634.99 296349.900 400 600 539 310
BTEPI 696
391.98 3919800 5226400.000 6250.85 62508.500 200 300
239 110
Lantai 5 BA X
533 386.06 3860600 5147466.667 9073.58 90735.800 300
400 339
210 BI X
535 3354.68 33546800 44729066.667 25227.30 252273.000 400 600 539 310
BA Y 580
321.63 3216300 4288400.000 10672.90 106729.000 300
400 339
210 BI Y
564 2847.65 28476500 37968666.667 31089.52 310895.200 400 600 539 310
BTEPI 591
397.36 3973600 5298133.333 6619.44 66194.400 200 400
339 110
190
Lantai Tipe
Frame Tu
Tu Tn
Vu Vu
b h
d x1
kgm Nmm
Nmm kg
N mm
mm mm
mm
Lantai 4 BA X
426 416.69 4166900 5555866.667 27052.71 270527.100
400 500
439 310
BI X 425
5075.53 50755300 67673733.333 55680.96 556809.600 500 600 539 410 BA Y
470 324.81 3248100 4330800.000 29538.85 295388.500
400 500
439 310
BI Y 454
6159.15 61591500 82122000.000 42989.55 429895.500 500 600 539 410 BTEPI
498 4598.38 45983800 61311733.333 6125.56 61255.600 400 500 439 310
Lantai 3 BA X
267 73.16 731600 975466.667 11803.52
118035.200 300
400 339
210 BI X
268 146.53 1465300 1953733.333 33635.92 336359.200
400 600
539 310
BA Y 334
410.26 4102600 5470133.333 10688.11 106881.100 300
400 339
210 BI Y
326 3533.58 35335800 47114400.000 34329.31 343293.100 400 600 539 310
BTEPI 358
437.64 4376400 5835200.000 7447.84 74478.400 200 400
339 110
Lantai 2 BA X
148 21.15 211500 282000.000 11072.85
110728.500 300
400 339
210 BI X
136 91.85 918500
1224666.667 32044.75
320447.500 400
600 539
310 BA Y
202 408.65 4086500 5448666.667 10423.87 104238.700
300 400
339 210
BI Y 194
3246.27 32462700 43283600.000 32457.91 324579.100 400 600 539 310 BTEPI
226 384.73 3847300 5129733.333 6394.26 63942.600 200
400 339
110 Lantai 1
BA X 2
15.80 158000 210666.667 10970.54 109705.400
300 400
339 210
BI X 3
83.86 838600 1118133.333
16430.51 164305.100
400 600
539 310
BA Y 69
278.31 2783100 3710800.000 10457.47 104574.700 300
400 339
210 BI Y
53 2921.58 29215800 38954400.000 30643.62 306436.200 400 600 539 310
BTEPI 93
383.25 3832500 5110000.000 6549.98 65499.800 200 400
339 110
Lantai Bsmnt
BA X 1254
262.27 2622700 3496933.333 23086.56 230865.600 300
400 339
210 BI X
1257 3326.67 33266700 44355600.000 47125.04 471250.400 400 600 539 310
BA Y 1319
43.84 438400 584533.333 21336.37 213363.700
300 400
339 210
BI Y 1293
5474.54 54745400 72993866.667 49893.83 498938.300 500 600 539 410 BTEPI
1313 842.14 8421400
11228533.333 13720.64 137206.400 200
400 339
110
191
y1 Σ x
2
y Batas Tu tdk perlu tul
ct αt
Tc Ts
At Ats
s terkecil Batas
max Tu
Tu120 Φfc0,5Σx²y
mm mm3
N Nmm
Puntir diabaikan mm
Nmm Nmm
satu kaki sengkang
mm
310 41184000 6177600 773500
ok 0.002 1.159 879437.025 151896.308
4.074 2.362
300 410
85184000 12777600 6421500 ok
0.002 1.108 5547455.367 3014544.633 27.466
28.764 300
310 41184000 6177600 854400
ok 0.002 1.159 888038.778 251161.222
5.329 3.906
300 510
101184000 15177600 12002600 ok
0.002 1.215 11910373.211 4093093.456 31.601
30.375 300
310 21184000
3177600 15087700 ok 0.003
1.606 5719846.265
14397087.068 266.033
329.791 300
310 41184000 6177600 1610800
ok 0.002 1.159 948256.951 1199476.382
17.264 18.653
300 510
101184000 15177600 13587700 ok
0.002 1.215 8262401.453 9854531.880 56.157
73.132 300
310 41184000 6177600 1367900
ok 0.002 1.159 856853.395 967013.271
14.148 15.038
300 510
101184000 15177600 27013100 tdk
ok 0.002 1.215 15152935.279 20864531.387
116.615 154.839
300 410
85184000 12777600 55186200 tdk
ok 0.002 1.108 26725110.483 46856489.517
347.660 447.093
300 310
41184000 6177600 2778600 ok
0.002 1.159 2540660.417 1164139.583 20.783
18.104 300
510 101184000 15177600 23999100
ok 0.002 1.215 16658286.039 15340513.961
91.125 113.844
300 310
41184000 6177600 2254100 ok
0.002 1.159 2308050.068 697416.599 14.405
10.846 300
510 101184000 15177600 19064900
ok 0.002 1.215 11504422.556 13915444.111
79.140 103.269
300 310
21184000 3177600 3995000 tdk
ok 0.003 1.606 3262083.561 2064583.106
46.510 47.293
300 310
41184000 6177600 3222200 ok
0.002 1.159 2921238.343 1375028.324 24.350
21.383 300
510 101184000 15177600 27737500
tdk ok
0.002 1.215 17786670.545 19196662.788 111.046
142.461 300
310 41184000 6177600 2848000
ok 0.002 1.159 2241408.891 1555924.442
24.909 24.197
300 510
101184000 15177600 23760700 tdk
ok 0.002 1.215 13247588.287 18433345.047
102.890 136.797
300 210
17184000 2577600 3919800 tdk
ok 0.003 1.303 2289640.965 2936759.035
105.732 114.260
300 310
41184000 6177600 3860600 ok
0.002 1.159 3487610.842 1659855.825 29.298
25.813 300
510 101184000 15177600 33546800
tdk ok
0.002 1.215 19495953.834 25233112.833 142.174
187.259 300
310 41184000 6177600 3216300
ok 0.002 1.159 2510876.137 1777523.863
28.333 27.643
300 510
101184000 15177600 28476500 tdk
ok 0.002 1.215 14789995.637 23178671.030
127.554 172.012
300 310
21184000 3177600 3973600 tdk
ok 0.003 1.606 3057279.105 2240854.229
48.826 51.331
300 410
85184000 12777600 4166900 ok
0.002 1.108 2246888.850 3308977.817 25.030
31.573 300
192
y1 Σ x
2
y Batas Tu tdk perlu tul
ct αt
Tc Ts
At Ats
s terkecil Batas
max Tu
Tu120 Φfc0,5Σx²y
mm mm3
N Nmm
Puntir diabaikan mm
Nmm Nmm
satu kaki sengkang
mm
510 155184000 23277600 50755300
tdk ok
0.002 1.081 19035157.086 48638576.248 217.460
334.854 300
410 85184000 12777600 3248100
ok 0.002 1.108 1606507.879 2724292.121
20.284 25.995
300 510
155184000 23277600 61591500 tdk
ok 0.002 1.081 27321839.958 54800160.042
249.881 377.273
300 410
85184000 12777600 45983800 tdk
ok 0.002 1.108 27491116.412 33820616.921
261.862 322.708
300 310
41184000 6177600 731600 ok
0.002 1.159 524909.167 450557.500 6.904
7.007 300
510 101184000 15177600 1465300
ok 0.002 1.215 782481.076 1171252.258
6.480 8.692
300 310
41184000 6177600 4102600 ok
0.002 1.159 3165441.743 2304691.591 36.511
35.841 300
510 101184000 15177600 35335800
tdk ok
0.002 1.215 16215786.833 30898613.167 166.621
229.303 300
310 21184000 3177600 4376400
tdk ok
0.003 1.606 3004469.678 2830730.322 58.743
64.843 300
310 41184000 6177600 211500
ok 0.002 1.159 161867.802 120132.198
1.895 1.868
300 510
101184000 15177600 918500 ok
0.002 1.215 514919.295 709747.372
3.966 5.267
300 310
41184000 6177600 4086500 ok
0.002 1.159 3229248.550 2219418.117 35.610
34.515 300
510 101184000 15177600 32462700
tdk ok
0.002 1.215 15858978.678 27424621.322 149.319
203.522 300
310 21184000 3177600 3847300
tdk ok
0.003 1.606 3063018.412 2066714.921 45.865
47.342 300
310 41184000 6177600 158000
ok 0.002 1.159 122053.889 88612.777
1.405 1.378
300 510
101184000 15177600 838600 ok
0.002 1.215 916665.463 201467.871
1.878 1.495
300 310
41184000 6177600 2783100 ok
0.002 1.159 2225655.340 1485144.660 23.990
23.096 300
510 101184000 15177600 29215800
tdk ok
0.002 1.215 15272714.303 23681685.697 130.480
175.745 300
310 21184000 3177600 3832500
tdk ok
0.003 1.606 2994029.672 2115970.328 46.472
48.470 300
310 41184000 6177600 2622700
ok 0.002 1.159 960425.428 2536507.906
33.911 39.446
300 510
101184000 15177600 33266700 tdk
ok 0.002 1.215 11871491.935 32484108.065
170.118 241.069
300 310
41184000 6177600 438400 ok
0.002 1.159 174122.455 410410.878 5.533
6.382 300
510 155184000 23277600 54745400
tdk ok
0.002 1.081 22246781.396 50747085.270 228.866
349.370 300
310 21184000 3177600 8421400
tdk ok
0.003 1.606 3112725.277 8115808.056 149.584
185.907 300
193
A1 Tul Torsi
Terpakai
Φfc3xΣx²y 1+0,4xVuCtTu20,5
Tu max Tu
Tu max Penampang diperbesar
Tu maxTu mm²
Nmm Nmm
Nmm
14.122 1ø22 41184000 15.610
2638311.076 773500
1864811 ok
131.836 1ø22 85184000 5.119
16642366.100 6421500
10220866 ok
18.473 1ø22 41184000 15.459
2664116.334 854400
1809716 ok
172.750 1ø22 101184000 2.832
35731119.633 12002600
23728520 ok
744.892 2ø22 21184000 1.235
17159538.795 15087700
2071839 ok
59.850 1ø22 41184000 14.477
2844770.853 1610800
1233971 ok
306.993 1ø22 101184000 4.082
24787204.360 13587700
11199504 ok
49.047 1ø22 41184000 16.021
2570560.186 1367900
1202660 ok
637.493 2ø22 101184000 2.226
45458805.838 27013100
18445706 ok
1668.767 9ø22 85184000 1.062
80175331.449 55186200
24989131 ok
72.049 1ø22 41184000 5.403
7621981.250 2778600
4843381 ok
498.151 2ø22 101184000 2.025
49974858.116 23999100
25975758 ok
49.936 1ø22 41184000 5.948
6924150.204 2254100
4670050 ok
432.632 2ø22 101184000 2.932
34513267.668 19064900
15448368 ok
130.227 1ø22 21184000 2.165
9786250.683 3995000
5791251 ok
84.414 1ø22 41184000 4.699
8763715.029 3222200
5541515 ok
607.050 2ø22 101184000 1.896
53360011.635 27737500
25622512 ok
86.350 2ø22 41184000 6.125
6724226.674 2848000
3876227 ok
562.466 2ø22 101184000 2.546
39742764.860 23760700
15982065 ok
225.561 1ø22 17184000 2.502
6868922.895 3919800
2949123 ok
101.566 1ø22 41184000 3.936
10462832.525 3860600
6602233 ok
777.215 2ø22 101184000 1.730
58487861.501 33546800
24941062 ok
98.219 1ø22 41184000 5.467
7532628.410 3216300
4316328 ok
697.295 2ø22 101184000 2.280
44369986.911 28476500
15893487 ok
136.713 1ø22 21184000 2.310
9171837.314 3973600
5198237 ok
120.146 1ø22 85184000 12.637
6740666.550 4166900
2573767 ok
1333.756 4ø22 155184000 2.717
57105471.257 50755300
6350171 ok
194
A1 Tul Torsi
Terpakai
Φfc3xΣx²y 1+0,4xVuCtTu20,5
Tu max Tu
Tu max Penampang diperbesar
Tu maxTu mm²
Nmm Nmm
Nmm
97.361 1ø22 85184000 17.675
4819523.638 3248100
1571424 ok
1532.601 5ø22 155184000 1.893
81965519.873 61591500
20374020 ok
1256.937 8ø22 85184000 1.033
82473349.236 45983800
36489549 ok
23.935 1ø22 41184000 26.153
1574727.500 731600
843128 ok
35.423 1ø22 101184000 43.104
2347443.227 1465300
882143 ok
126.572 1ø22 41184000 4.337
9496325.228 4102600
5393725 ok
910.862 3ø22 101184000 2.080
48647360.500 35335800
13311561 ok
164.480 1ø22 21184000 2.350
9013409.035 4376400
4637009 ok
6.571 1ø22 41184000 84.810
485603.407 211500
274103 ok
21.683 1ø22 101184000 65.502
1544757.884 918500
626258 ok
123.448 1ø22 41184000 4.251
9687745.649 4086500
5601246 ok
816.276 3ø22 101184000 2.127
47576936.034 32462700
15114236 ok
128.421 1ø22 21184000 2.305
9189055.236 3847300
5341755 ok
4.870 1ø22 41184000 112.475
366161.668 158000
208162 ok
10.266 1ø22 101184000 36.794
2749996.388 838600
1911396 ok
83.165 1ø22 41184000 6.168
6676966.021 2783100
3893866 ok
713.291 2ø22 101184000 2.208
45818142.909 29215800
16602343 ok
130.121 1ø22 21184000 2.358
8982089.015 3832500
5149589 ok
117.560 1ø22 41184000 14.294
2881276.283 2622700
258576 ok
929.981 3ø22 101184000 2.841
35614475.806 33266700
2347776 ok
19.183 1ø22 41184000 78.841
522367.365 438400
83967 ok
1403.713 5ø22 155184000 2.325
66740344.189 54745400
11994944 ok
418.835 2ø22 21184000 2.269
9338175.832 8421400
916776 ok
195
Tabel 4. 39 Tulangan Torsi Gedung 2
Lantai Tipe
Frame Tu
Tu Tn
Vu Vu
b h
d x1
y1 Σ x
2
y kgm
Nmm Nmm
kg N
mm mm
mm mm
mm mm3
Lantai Atap BA X
961 99.88 998800 1331733.333 9125.30 91253.000
300 400
339 210 310 41184000
BI X 964 2300.69
23006900 30675866.667 17770.25 177702.500 400 600 539 310 510 101184000 BA Y
989 63.14 631400 841866.667 8211.19 82111.900
300 400
339 210 310 41184000
BI Y 977 835.46
8354600 11139466.667 17270.61 172706.100 400 600 539 310 510 101184000 BTEPI
1006 2926.98 29269800 39026400.000
9980.6 99806.000 350 400 339 260 310 54184000
Lantai 8 BA X
825 159.03 1590300 2120400.000 13632.97 136329.700
300 400
339 210 310 41184000
BI X 852 3094.06
30940600 41254133.333 21992.47 219924.700 400 600 539 310 510 101184000 BA Y
885 234.63 2346300 3128400.000 12261.82 122618.200
300 400
339 210 310 41184000
BI Y 865 1765.47
17654700 23539600.000 29974.49 299744.900 400 600 539 310 510 101184000 BTEPI
894 3408.69 34086900 45449200.000 17264.82 172648.200 400 500 439 310 410 85184000
Lantai 7 BA X
715 248.68 2486800 3315733.333 15955.75 159557.500
300 400
339 210 310 41184000
BI X 740 4511.31
45113100 60150800.000 24377.62 243776.200 400 600 539 310 510 101184000 BA Y
772 204.64 2046400 2728533.333 14918.36 149183.600
300 400
339 210 310 41184000
BI Y 753 1740.85
17408500 23211333.333 28983.91 289839.100 400 600 539 310 510 101184000 BTEPI
782 3506.91 35069100 46758800.000 18569.15 185691.500 300 500 439 210 410 50184000
Lantai 6 BA X
603 278.95 2789500 3719333.333 15949.92 159499.200
300 400
339 210 310 41184000
BI X 628 3688.36
36883600 49178133.333 24289.08 242890.800 400 600 539 310 510 101184000 BA Y
660 252.52 2525200 3366933.333 14939.05 149390.500
300 400
339 210 310 41184000
BI Y 648 2215.47
22154700 29539600.000 33055.30 330553.000 400 600 539 310 510 101184000 BTEPI
670 3851.32 38513200 51350933.333 19816.79 198167.900 300 500 439 210 410 50184000
Lantai 5 BA X
491 317.69 3176900 4235866.667 15965.56 159655.600
300 400
339 210 310 41184000
BI X 516 3100.53
31005300 41340400.000 26373.67 263736.700 400 600 539 310 510 101184000 BA Y
548 331.99 3319900 4426533.333 12877.64 128776.400
300 400
339 210 310 41184000
BI Y 529 2556.55
25565500 34087333.333 28925.76 289257.600 400 600 539 310 510 101184000 BTEPI
558 4340.34 43403400 57871200.000 20694.77 206947.700 400 500 439 310 410 85184000
Lantai 4 BA X
388 457.41 4574100 6098800.000 15590.05 155900.500
300 400
339 210 310 41184000
BI X 391 3961.49
39614900 52819866.667 29725.74 297257.400 400 600 539 310 510 101184000
196
Lantai Tipe
Frame Tu
Tu Tn
Vu Vu
b h
d x1
y1 Σ x
2
y kgm
Nmm Nmm
kg N
mm mm
mm mm
mm mm3
BA Y 435 870.87
8708700 11611600.000 16064.33 160643.300 300 400 339 210 310 41184000 BI Y
404 3704.22 37042200 49389600.000 32798.49 327984.900 400 600 539 310 510 101184000
BTEPI 432 4993.92
49939200 66585600.000 21969.66 219696.600 400 500 439 310 410 85184000 Lantai 3
BA X 263 569.97
5699700 7599600.000 16891.00 168910.000 300
400 339 210 310
41184000 BI X
265 7718.28 77182800 102910400.000 34585.12 345851.200 400 600 539 310 510 101184000
BA Y 310 990.54
9905400 13207200.000 16720.72 167207.200 300 400 339 210 310 41184000 BI Y
278 4140.71 41407100 55209466.667 38165.77 381657.700 400 600 539 310 510 101184000
BTEPI 307 5221.16
52211600 69615466.667 24337.67 243376.700 400 500 439 310 410 85184000 Lantai 2
BA X 151 537.82
5378200 7170933.333 15874.13 158741.300 300
400 339 210 310
41184000 BI X
153 7423.26 74232600 98976800.000 28458.28 284582.800 400 600 539 310 510 101184000
BA Y 198 927.42
9274200 12365600.000 15639.91 156399.100 300 400 339 210 310 41184000 BI Y
168 1026.40 10264000 13685333.333 50634.38 506343.800 400 600 539 310 510 101184000
BTEPI 196 5145.86
51458600 68611466.667 23114.71 231147.100 400 500 439 310 410 85184000 Lantai 1
BA X 39 460.68
4606800 6142400.000 15934.81 159348.100 300
400 339 210 310
41184000 BI X
41 6626.32 66263200 88350933.333 32141.15 321411.500 400 600 539 310 510 101184000
BA Y 86 847.12
8471200 11294933.333 15719.96 157199.600 300 500 439 210 410 50184000 BI Y
54 3498.24 34982400 46643200.000 34039.31 340393.100 400 600 539 310 510 101184000
BTEPI 84 4942.94
49429400 65905866.667 21773.88 217738.800 400 500 439 310 410 85184000 Lantai
Bsmnt BA X
1073 2192.79 21927900 29237200.000 38011.97 380119.700 400 500 439 310 410 85184000
BI X 1075 6316.50
63165000 84220000.000 68451.46 684514.600 600 600 539 510 510 221184000 BA Y
1126 3582.89 35828900 47771866.667 18776.56 187765.600 400 500 439 310 410 85184000
BI Y 1088 1563.14
15631400 20841866.667 72891.92 728919.200 500 700 639 410 610 180184000 BTEPI
1086 12785.54 1.28E+08 170473866.667 36131.45 361314.500 500 600 539 410 510 155184000
Batas Tu tdk perlu tul ct
αt Tc
Ts satu kaki
sengkang Ats
s terkecil
Batas max
Tu Tu120
Φfc0,5Σx²y N
Nmm Puntir diabaikan
mm Nmm
Nmm At
mm
6177600 998800 ok
0.002 1.159
925511.609 406221.724 7.349
6.317 300 15177600 23006900
tdk ok
0.002 1.215 19148780.709 11527085.957 74.946
85.544 300
197
Batas Tu tdk perlu tul ct
αt Tc
Ts satu kaki
sengkang Ats
s terkecil
Batas max
Tu Tu120
Φfc0,5Σx²y N
Nmm Puntir diabaikan
mm Nmm
Nmm At
mm
6177600 631400 ok
0.002 1.159
650952.632 190914.035 3.991
2.969 300 15177600 8354600
ok 0.002
1.215 8416368.653 2723098.014 21.504
20.209 300 8127600 29269800
tdk ok
0.002 1.064
15330610.548 23695789.452 292.530 335.644 300
6177600 1590300 ok
0.002 1.159 986063.871 1134336.129
16.549 17.640 300 15177600 30940600
tdk ok
0.002 1.215 20226969.787 21027163.547 122.361 156.046 300
6177600 2346300 ok
0.002 1.159
1610493.676 1517906.324 22.868 23.605 300
15177600 17654700 tdk
ok 0.002 1.215 10096896.651 13442703.349
75.459 99.760 300
12777600 34086900 tdk
ok 0.002 1.108 20251401.934 25197798.066
194.791 240.431 300 6177600 2486800
ok 0.002
1.159 1314807.780 2000925.553
28.136 31.117 300 15177600 45113100
tdk ok
0.002 1.215 23678136.800 36472663.200 201.108 270.669 300
6177600 2046400 ok
0.002 1.159
1158397.093 1570136.240 22.393 24.418 300
15177600 17408500 tdk
ok 0.002 1.215 10278001.246 12933332.088
73.150 95.980 300
7527600 35069100 tdk
ok 0.003
1.317 13017409.835
33741390.165 300.382 373.318 300 6177600 2789500
ok 0.002
1.159 1473638.090 2245695.243
31.573 34.923 300 15177600 36883600
tdk ok
0.002 1.215 21211841.924 27966291.410 157.187 207.542 300
6177600 2525200 ok
0.002 1.159
1424822.125 1942111.209 27.679 30.202 300
15177600 22154700 tdk
ok 0.002 1.215 11340704.744 18198895.256
99.885 135.057 300
7527600 38513200 tdk
ok 0.003
1.317 13162791.258
38188142.075 337.374 422.518 300 6177600 3176900
ok 0.002
1.159 1673812.140 2562054.526
36.002 39.843 300 15177600 31005300
tdk ok
0.002 1.215 17901330.321 23439069.679 131.862 173.945 300
6177600 3319900 ok
0.002 1.159
2157727.064 2268806.269 33.560 35.283 300
15177600 25565500 tdk
ok 0.002 1.215 14366842.915 19720490.418
110.264 146.349 300 12777600 43403400
ok 0.002 1.108 20842547.311 37028652.689
274.371 353.318 300 6177600 4574100
ok 0.002
1.159 2446741.199 3652058.801
51.470 56.794 300 15177600 39614900
tdk ok
0.002 1.215 19524218.355 33295648.312 181.548 247.092 300
6177600 8708700 tdk
ok 0.002
1.159 4356890.071 7254709.929 100.993 112.820 300
15177600 37042200 tdk
ok 0.002 1.215 17387255.367 32002344.633
173.151 237.494 300 12777600 49939200
tdk ok
0.002 1.108 21596162.569 44989437.431 328.394 429.278 300
6177600 5699700 ok
0.002 1.159
2799700.553 4799899.447 66.613 74.645 300
15177600 77182800 tdk
ok 0.002 1.215 25810616.407 77099783.593
401.460 572.169 300
198
Batas Tu tdk perlu tul ct
αt Tc
Ts satu kaki
sengkang Ats
s terkecil
Batas max
Tu Tu120
Φfc0,5Σx²y N
Nmm Puntir diabaikan
mm Nmm
Nmm At
mm
6177600 9905400 tdk
ok 0.002
1.159 4715174.779 8492025.221 117.261 132.062 300
15177600 41407100 tdk
ok 0.002 1.215 16876767.282 38332699.384
203.547 284.473 300 12777600 52211600
tdk ok
0.002 1.108 21058471.843 48556994.823 351.437 463.319 300
6177600 5378200 ok
0.002 1.159
2810534.235 4360399.098 61.178 67.810 300
15177600 74232600 tdk
ok 0.002 1.215 27375634.762 71601165.238
376.153 531.363 300 6177600 9274200
tdk ok
0.002 1.159
4719247.546 7646352.454 106.761 118.911 300 15177600 10264000
ok 0.002 1.215 3620940.444 10064392.889
52.651 74.689 300
12777600 51458600 tdk
ok 0.002 1.108 21405047.374 47206419.293
342.904 450.432 300 6177600 4606800
ok 0.002
1.159 2412031.413 3730368.587
52.357 58.012 300 15177600 66263200
tdk ok
0.002 1.215 24938363.650 63412569.683 333.812 470.594 300
7527600 8471200 tdk
ok 0.003
1.317 5575988.602 5718944.731
56.483 63.275 300 15177600 34982400
tdk ok
0.002 1.215 16196241.735 30446958.265 164.398 225.951 300
12777600 49429400 tdk
ok 0.002 1.108 21584235.367 44321631.299
323.930 422.906 300 12777600 21927900
tdk ok
0.002 1.108 8091502.142 21145697.858 151.607 201.767 300
33177600 63165000 tdk
ok 0.001 1.000 23564279.259 60655720.741
235.613 398.736 300 12777600 35828900
tdk ok
0.002 1.108 19909175.326 27862691.341 212.083 265.859 300
27027600 15631400 ok
0.002 1.163 5684006.273 15157860.394 52.538
85.450 300 23277600 127855400
tdk ok
0.002 1.081 43353167.644 127120699.023 563.045
875.166 300 A1
Tul Torsi Terpakai
Φfc3xΣx²y 1+0,4xVuCtTu20,5 Tu max
Tu Tu max
Penampang diperbesar mm²
Nmm Nmm
Tu maxTu
25.477 1ø22 41184000 14.833
2776534.827 998800
1777734.827 ok
409.702 2ø22 101184000 1.761
57446342.128 23006900
34439442.128 ok
13.835 1ø22 41184000 21.089
1952857.896 631400
1321457.896 ok
117.557 1ø22 101184000 4.007
25249105.959 8354600
16894505.959 ok
1111.613 4ø22 54184000 1.178
45991831.643 29269800
16722031.643 ok
57.369 1ø22 41184000 13.922
2958191.612 1590300
1367891.612 ok
668.906 2ø22 101184000 1.667
60680909.360 30940600
29740309.360 ok
199
A1 Tul Torsi
Terpakai
Φfc3xΣx²y 1+0,4xVuCtTu20,5 Tu max
Tu Tu max
Penampang diperbesar mm²
Nmm Nmm
Tu maxTu
79.276 1ø22 41184000 8.524
4831481.028 2346300
2485181.028 ok
412.510 1ø22 101184000 3.340
30290689.952 17654700
12635989.952 ok
934.997 5ø22 85184000 1.402
60754205.802 34086900
26667305.802 ok
97.538 1ø22 41184000 10.441
3944423.341 2486800
1457623.341 ok
1099.388 4ø22 101184000 1.424
71034410.400 45113100
25921310.400 ok
77.630 1ø22 41184000 11.851
3475191.280 2046400
1428791.280 ok
399.887 2ø22 101184000 3.282
30834003.737 17408500
13425503.737 ok
1241.578 6ø22 50184000 1.285
39052229.505 35069100
3983129.505 ok
109.453 1ø22 41184000 9.316
4420914.271 2789500
1631414.271 ok
859.289 3ø22 101184000 1.590
63635525.771 36883600
26751925.771 ok
95.952 1ø22 41184000 9.635
4274466.374 2525200
1749266.374 ok
546.036 2ø22 101184000 2.974
34022114.232 22154700
11867414.232 ok
1394.477 5ø22 50184000 1.271
39488373.775 38513200
975173.775 ok
124.808 1ø22 41184000 8.202
5021436.421 3176900
1844536.421 ok
720.844 2ø22 101184000 1.884
53703990.963 31005300
22698690.963 ok
116.343 1ø22 41184000 6.362
6473181.192 3319900
3153281.192 ok
602.777 2ø22 101184000 2.348
43100528.745 25565500
17535028.745 ok
1316.982 6ø22 85184000 1.362
62527641.934 43403400
19124241.934 ok
178.430 1ø22 41184000 5.611
7340223.597 4574100
2766123.597 ok
992.465 3ø22 101184000 1.727
58572655.065 39614900
18957755.065 ok
350.108 1ø22 41184000 3.151
13070670.212 8708700
4361970.212 ok
946.559 3ø22 101184000 1.940
52161766.102 37042200
15119566.102 ok
1576.289 8ø22 85184000 1.315
64788487.706 49939200
14849287.706 ok
230.925 1ø22 41184000 4.903
8399101.659 5699700
2699401.659 ok
2194.650 6ø22 101184000 1.307
77431849.220 77182800
249049.220 ok
406.504 2ø22 41184000 2.911
14145524.336 9905400
4240124.336 ok
1112.721 3ø22 101184000 1.998
50630301.847 41407100
9223201.847 ok
1686.899 7ø22 85184000 1.348
63175415.530 52211600
10963815.530 ok
212.083 1ø22 41184000 4.884
8431602.705 5378200
3053402.705 ok
2056.304 6ø22 101184000 1.232
82126904.287 74232600
7894304.287 ok
200
A1 Tul Torsi
Terpakai
Φfc3xΣx²y 1+0,4xVuCtTu20,5 Tu max
Tu Tu max
Penampang diperbesar mm²
Nmm Nmm
Tu maxTu
370.104 2ø22 41184000 2.909
14157742.637 9274200
4883542.637 ok
287.827 1ø22 101184000 9.315
10862821.333 10264000
598821.333 ok
1645.940 7ø22 85184000 1.327
64215142.122 51458600
12756542.122 ok
181.505 1ø22 41184000 5.691
7236094.238 4606800
2629294.238 ok
1824.837 5ø22 101184000 1.352
74815090.950 66263200
8551890.950 ok
233.461 1ø22 50184000 3.000
16727965.806 8471200
8256765.806 ok
898.708 3ø22 101184000 2.082
48588725.205 34982400
13606325.205 ok
1554.865 8ø22 85184000 1.316
64752706.102 49429400
15323306.102 ok
727.715 2ø22 85184000 3.509
24274506.426 21927900
2346606.426 ok
1602.171 5ø22 221184000 3.129
70692837.776 63165000
7527837.776 ok
1017.999 5ø22 85184000 1.426
59727525.978 35828900
23898625.978 ok
357.257 2ø22 180184000 10.567
17052018.819 15631400
1420618.819 ok
3453.340 15ø22 155184000 1.193
130059502.931 127855400
2204102.931 ok
201
4.3.5 Perhitungan Kolom
4.3.5.1Perhitungan Tulangan Utama
Perencanaan kolom dilakukan melalui pengecekan momen dan beban aksial yang bekerja pada penampang terhadap diagram interaksi P-
M yang diperoleh dari penampang yang telah ditentukan dimensi serta tulangannya.
Contoh perhitungan kolom K3 frame 1405: b =
700 mm
Ø
sengkang
= 8 mm h
= 700 mm d’ = 40 + 8 + ½ 22 = 60,5 mm
p = 40 mm
d = 600 – 60,5 = 539,5 mm
Ag = 360000 mm
2
f’c =
30 Mpa
As
total
= 12D25 5890,5
mm
2
fy =400
Mpa φ = 0,65
1
β = 0,85 Beban aksial dan momen yang bekerja:
Pu = 733930 kg.m
Mx = 6341975,70 kg.m
My = 5494828,90 kg.m
700 700
d
d
As diameter 25 = 490,88 mm
2
Panjang kolom L = 4000 mm
202 1
2 1
≤ ⎟
⎟ ⎠
⎞ ⎜
⎜ ⎝
⎛ +
⎟⎟ ⎠
⎞ ⎜⎜
⎝ ⎛
α α
oy ny
ox nx
M M
M M
Untuk desain maka contour didekati dengan garis lurus
Bila MnyMox ≥ bh,
Moy = Mny + Mnx.bh.[1- ] Bila MnyMox
≤ hb, Mox = Mnx + Mny.bh.[1- ]
Pn = Pu
φ = 7339300,65
= 1129123,077 kg.cm Mnx =
Mux φ
= 6341975,700,65 = 9756885,692 kg.cm Mny =
Muy φ
= 5494828,900,65 = 8453582,923 kg.cm MnyMox
≤ hb 9756885,6929756885,692 = 0,87 ≤ 7070 = 1 Mn
= Mnx + Mny.bh.[1- ] dalam praktis, β diambil sebesar
0,65 = 9756885,692 + 8453582,923.0,70,7[1-0,650,65]
= 14308814,96
kg.m
203 e =
MnPn = 14308814,961129123,077 = 12,673 cm
⎟ ⎟
⎠ ⎞
⎜ ⎜
⎝ ⎛
c f
A P
gr
. 85
, .
. φ
= ⎟
⎠ ⎞
⎜ ⎝
⎛ ×
300 .
85 ,
. 7
, 7
, 077
, 1129123
= 0,90
⎟ ⎠
⎞ ⎜
⎝ ⎛
⎟ ⎟
⎠ ⎞
⎜ ⎜
⎝ ⎛
h e
c f
A P
gr
. .
85 ,
. .
φ =
⎟ ⎠
⎞ ⎜
⎝ ⎛
⎟ ⎠
⎞ ⎜
⎝ ⎛
× 7
, 673
, 12
. 300
. 85
, .
7 ,
7 ,
077 ,
1129123 =
0,164 Dari grafik dan tabel perhitungan beton bertulang didapat CUR IV :
r = 0,02 = 1
ρ = r . = 0,02 As
tot
= ρ . A
gr
= 0,02 × 70 × 70 = 98 cm
2
Tulangan per sisi yang memadai = 5Ø25 = 4 × 5Ø25 98,125 cm
2
20Ø25
700 700
204
4.3.5.2 Cek Kekuatan Penampang Tinjau Biaxial Bending
Arah – X : Mnx = 6341975,7 0,65 = 9756885,692 kg cm
Pn = 1129123,077 kg
ea = Mnx Pn = 7927469,625 1129123,077 = 8,641 cm
cb = 6000 . d 6000 + fy
= 6000 × 63,95 6000 + 4000 = 38,37 cm
ab = 0.85 cb = 0,85 × 38,37 = 32,6145 cm
Fb = ab d = 32,6145 63,95 = 0,510
Kb = Fb 1 – Fb2 = 0,510 × 1 – 0,510 2 = 0,380
Mnb = 0,85 f’c . Kb . b . d
2
+ As’ . fy . d – d’ = 0,85 × 300 × 0,380 × 70 × 63,95
2
+ 29,438 × 4000 × 63,95 – 6,05
= 34553964,59 cm Pnb
= 0,85 . f’c . b . ab = 0,85 × 300 × 70 × 32,6145 = 582168,825 kg
eb = Mnb Pnb = 34553964,59 582168,825 = 59,354 cm
e = ea + h2 – d’
= 7,021 + 70 2 – 6,05 = 37,591cm e eb ….Ok
0.3 d + h2 – d’ = 0,3 × 63,95 + 40 – 6,05 = 48,135 cm eb 0.3 d + h2 – d’ e maka :
Py
= 0.85 . fc’ . b . d + fy . Ast = 0,85 × 300 × 70 × 63,95 + 4000 × 2 × 29,438
= 1259257,5 kg
Po = 0.85 . f’c . Ag – Ast + fy . Ast
= 0.85 × 300 × 70 × 70 – 29,438 + 4000 × 29,438 = 1359743,438 kg
205 Arah – Y :
Mny = 5494828,9 0,65 = 8453582,923 kg cm Pn
= 1129123,077 kg ea
= Mny Pn = 6868536,125 8453582,923 = 7,487 cm cb
= 6000 . d 6000 + fy = 6000 × 63,95 6000 + 4000
= 38,37 cm ab
= 0.85 cb = 0,85 × 32,37 = 32,6145 cm Fb
= ab d = 32,6145 63,95 = 0,510 Kb
= Fb 1 – Fb2 = 0,51 × 1 – 0,51 2 = 0,380 Mnb = 0,85 f’c . Kb . b . d
2
+ As’ . fy . d – d’ = 0,85 × 300 × 0,380 × 70 × 63,95
2
+ 29,438 × 4000 × 63,95 – 6,05
= 25380339,84 kg cm Pnb
= 0,85 . f’c . b . ab = 0,85 × 300 × 70 × 32,6145 = 582168,825 kg
eb = Mnb Pnb = 25380339,84 582168,825 = 43,596 cm
e = ea + h2 – d’
= 7,487 + 70 2 – 6,05 = 31,437 cm e eb ….Ok
0.3 d + h2 – d’ = 0,3 × 63,95 + 40 – 6,05 = 48,135 cm eb 0.3 d + h2 – d’ e maka :
Px
= 0.85 . fc’ . b . d + fy . Ast = 0,85 × 300 × 70 × 63,95 + 4000 × 2 × 29,438
= 1259257,5 kg
Po
= 0.85 . f’c . Ag – Ast + fy . Ast = 0.85 × 300 × 70 × 70 – 39,25 + 4000 × 29,438
= 1359743,438 kg
206 Cek Biaxial Bending :
Pi 1
= Px
1 +
Py 1
- Po
1
= 1259257,5
1 +
1259257,5 1
- 8
1359743,43 1
Pi = 1172601,477 kg
Pn = 1129123,077 kg
Syarat Pi Pn ………………….OK 4.3.5.3 Perhitungan Tulangan Geser
Vu = 27259,496 kg
Nu = 733930 kg
Vn = Vu
φ = 27259,496 0,6 = 45432,49 kg 0,3 fc × bw × d ×
NuAg 0,3
1 ×
+ =
0,3 300 ×70 × 63,55 × 70
733930 0,3
1
2
× +
= 156662,4541kg Vc
= 0,17 1 + 0,073×Nu Ag × d
bw fc
× ×
= 0,17 1 + 0,073×733930 70
2
× 55
, 3
6 70
300 ×
× = 156318,843 kg
Vc 0,3 fc × bw × d × NuAg
0,3 1
× +
, maka Vc
= 156318,843 kg Vn – Vc
= 45432,49 – 156318,843 = -110886,349 kg
23 × fc × bw × d = 23 × 300 × 70 × 63,55 =
51366,8535 kg
Vn – Vc 23 × fc × bw × d, maka penampang cukup Vu
φ .Vc2 27259,496 0.6 × 156318,843 2
5170,310 46895,653 makaÆ tidak perlu tulangan geser Dipakai sengkang tulangan praktis
∅ 12 – 300
207
Tabel 4. 40 Penulangan Kolom Tengah Gedung 1
LANTAI Pu
MuX MuY
Pn MnX
MnY MnyMnx
b h
d d
kgfcm kgfcm
8 33486.200 3348624.000
1394187.400 51517.231 5151729.231 2144903.692
0.42 60 60
53.95 6.05
7 35723.41 3572341.000
2351026.600 54959.092 5495909.231 3616964.000
0.66 60 60
53.95 6.05
6 41041.040 4104104.000
3032170.000 63140.062 6314006.154 4664876.923
0.74 60 60
53.95 6.05
5 317283 4533996.100
3536989.600 488127.692 6975378.615 5441522.462
0.78 60 60
53.95 6.05
4 304224.000 5978539.300 4382685.000 468036.923 9197752.769 6742592.308 0.73 70
70 63.95
6.05 3 560172.000
6961878.800 5104415.400 861803.077 10710582.769 7852946.769 0.73 70 70
63.95 6.05
2 647811.000 3363003.000
3898916.900 996632.308 5173850.769 5998333.692
1.16 70 70
63.95 6.05
1 733930.000 6341975.700 5494828.900 1129123.077 9756885.692 8453582.923
0.87 70 70
63.95 6.05
Basement 824918.297 7489951.600 7451326.600 1269105.072 11523002.462 9314158.250 0.81 70
70 63.95
6.05
Mo = Mn e
dh r
ρ = r,
β As
Tul merata
6306677.37 122.4187962 0.07
0.137 0.1008 0.011 1 0.011 39.6 12Ø25
7443505.23 135.4371937 0.07
0.162 0.1008 0.015 1 0.015 54 12Ø25
8825862.96 139.782299 0.08
0.192 0.1008 0.019 1 0.019 68.4 16Ø25
9905429.17 20.29270072 0.64
0.216 0.1008 0.011 1 0.011 39.6 12Ø25
12828379.40 27.40890465 0.45
0.176 0.0864 0.006 1 0.006 29.4 12Ø25
14939092.57 17.33469393 0.83
0.205 0.0864 0.014 1 0.014 68.6 16Ø25
8784253.34 8.813935962 0.96
0.121 0.0864 0.004 1 0.004 19.6 12Ø25
14308814.96 12.67250245 1.08
0.196 0.0864 0.02 1 0.02 98 20Ø25
16538318.44 13.03148085 1.22
0.227 0.0864 0.04 1 0.04 196 36Ø25
⎟ ⎟
⎠ ⎞
⎜ ⎜
⎝ ⎛
c f
A P
gr
. 85
, .
φ ⎟
⎠ ⎞
⎜ ⎝
⎛ ⎟
⎟ ⎠
⎞ ⎜
⎜ ⎝
⎛ h
e c
f A
P
gr
. .
85 ,
. φ
208
Tabel 4. 41 Biaxial Bending Kolom Tengah arah x Gedung 1
FRAME LANTAI
Pu Mu
Mn Pn
As terp ea
cb ab
Fb Kb
Mn b Pn b
1091 8 33486.200
3348624.000 4185780
51517.231 12Ø25
19.625 81.250097 32.13 27.3105 0.510 0.380
20367397 417850.65
1082 7 35723.41
3572341.000 4465426.3
54959.092 12Ø25
19.625 81.25 32.13 27.3105 0.510 0.380
20367397 417850.65
1081 6 41041.040
4104104.000 5130130
63140.062 16Ø25
24.531 81.25 32.13 27.3105 0.510 0.380
20367397 417850.65
1080 5 317283 4533996.100
5667495.1 488127.69
12Ø25 19.625 11.610681 32.13 27.3105
0.510 0.380 20367397
417850.65 1079 4
304224.000 5978539.300
7473174.1 468036.92 12Ø25
19.625 15.967061 38.13 32.4105 0.510 0.380
31872586 578527.43
1110 3 560172.000
6961878.800 8702348.5 861803.08
16Ø25 24.531 10.097839 38.13 32.4105
0.510 0.380 46440224
578527.43 1109 2
647811.000 3363003.000
4203753.8 996632.31
12Ø25 19.625 4.2179585 38.13 32.4105
0.510 0.380 32993174
578527.43 1116 1
733930.000 6341975.700
7927469.6 1129123.1
20Ø25 29.438 7.0209083 38.13 32.4105
0.510 0.380 36354936
578527.43 1206 Basement
824918.297 7489951.600
9362439.5 1269105.1
36Ø25 49.063 7.3771981 38.13 32.4105
0.510 0.380 40837286
578527.43 eb
e cek
0.3 d + h2 – d’
CEK a-ab Py
Po Pi
PiPn 48.743 104.800 eeb
39.615 iie
114745.64 991495.63 59387.91 ok
48.743 104.800 eeb 39.615
iie 114744.97 991495.63 59387.54
ok 48.743 104.800 eeb
39.615 iie
130004.86 991495.63 67488.73 ok
48.743 35.161 eeb 39.615
iie 897815 991495.63
820308.82 ok
55.093 44.517 eeb 47.615
iie 1212867.5 1322995.6 1119664.9 ok
80.273 38.648 eeb 47.615
iie 1467992.5 1561856.4 1155493.6 ok
57.030 32.768 eeb 47.615
iie 1232492.5 1341369.5 1139963.3 ok
62.840 35.571 eeb 47.615
iie 1291367.5 1396491.3 1200962.6 ok
70.588 35.927 eeb 47.615
iie 1530794.6 1469986.9
1276522 ok
Tabel 4. 42 Biaxial Bending Kolom Tengah arah y Gedung 1
FRAME LANTAI
Pu Mu
Mn Pn
As terp ea
cb ab
Fb 1091 8
33486.200 1394187.400
1742734.3 51517.231
12Ø25 19.625 33.828182 32.13 27.3105
0.510 1082 7
35723.41 2351026.600
2938783.3 54959.092
12Ø25 19.625 53.472194 32.13 27.3105
0.510 1081 6
41041.040 3032170.000
3790212.5 63140.062
16Ø25 24.531 60.028648 32.13 27.3105
0.510 1080 5 317283
3536989.600 4421237
488127.69 12Ø25
19.625 9.0575418 32.13 27.3105 0.510
209
FRAME LANTAI
Pu Mu
Mn Pn
As terp ea
cb ab
Fb 1079 4
304224.000 4382685.000
5478356.3 468036.92 12Ø25
19.625 11.704966 38.13 32.4105 0.510
1110 3 560172.000
5104415.400 6380519.3 861803.08
16Ø25 24.531 7.4036859 38.13 32.4105
0.510 1109 2
647811.000 3898916.900
4873646.1 996632.31
12Ø25 19.625 4.8901145 38.13 32.4105
0.510 1116 1
733930.000 5494828.900
6868536.1 1129123.1
20Ø25 29.438 6.0830712 38.13 32.4105
0.510 1206 Basement
824918.297 7451326.600
9314158.3 1269105.1
36Ø25 49.063 7.3391545 38.13 32.4105
0.510 Kb
Mn b Pn b
eb e
cek 0.3 d + h2
– d’ CEK a-ab
Px Po
Pi PiPo
0.380 20367397 417850.65 48.743 62.378 eeb 39.615 iie
114745.64 991495.63
59387.91 ok
0.380 20367397 417850.65 48.743 82.022 eeb 39.615 iie
114744.97 991495.63
59387.54 ok
0.380 20367397 417850.65 48.743 88.579 eeb 39.615 iie
130004.86 991495.63
67488.73 ok
0.380 20367397 417850.65 48.743 37.608 eeb 39.615 iie 897815
991495.63 820308.82
ok 0.380 23145738 578527.43 40.008 35.255 eeb 47.615
iie 1212867.5 1322995.6
1119664.9 ok 0.380 23145738 578527.43 40.008 30.954 eeb 47.615
iie 1212867.5 1322995.6
1155493.6 ok 0.380 24070076 578527.43 41.606 28.440 eeb 47.615
iie 1232492.5 1341369.5
1139963.3 ok 0.380 26843088 578527.43 46.399 29.633 eeb 47.615
iie 1291367.5 1396491.3
1200962.6 ok 0.380 41632488 578527.43 71.963 30.889 eeb 47.615
iie 1530794.6 1690473.8
1276522 ok
Tabel 4. 43Penulangan Kolom Pinggir Gedung 1
LANTAI Pu
MuX MuY
Pn MnX
MnY MnyMnx
b h
d d
8 42375.396 1471588.650 255202.480 65192.917 2263982.538 392619.200
0.17 60 60 53.95 6.05
7 98111.909 1182362.480 374963.910 150941.398 1819019.200 576867.554
0.32 60 60 53.95 6.05
6 154009.645 1179465.140 537187.090 236937.915 1814561.754 826441.677
0.46 60 60 53.95 6.05
5 213520.709 1096782.790 429268.810 328493.398 1687358.138 660413.554
0.39 60 60 53.95 6.05
4 341755.463
5629554.000 5629554.000 525777.635 8660852.308 8660852.308 1.00
70 70 63.95 6.05 3
345751.355 677964.630 355385.850 531925.162 1043022.508 546747.462 0.52
70 70 63.95 6.05 2
421916.569 329315.910 336698.470 649102.414 506639.862 517997.646 1.02
70 70 63.95 6.05
210
1 500641.768 178947.900 324505.330 770218.105 275304.462 499238.969
1.81 70 70 63.95 6.05
Basement 578510.849 176089.110 280405.770 890016.691 270906.323 350507.213
1.29 70 70 63.95 6.05
Mo ea
dh r
β ρ = r,β
As Tul
merata
2475392.88 37.97027336 0.09
0.054 0.1008 0.005 1.2 0.006 21.6 12Ø25
2129640.19 14.109053
0.20 0.046
0.1008 0.001 1.2 0.0012 4.32 12Ø25 2259568.81 9.536543811
0.31 0.049
0.1008 0.001 1.2 0.0012 4.32 12Ø25 2042965.44 6.219197848
0.43 0.045
0.1008 0.001 1.2 0.0012 4.32 12Ø25 13324388.17 25.34224978
0.50 0.183
0.0864 0.005 1.2 0.006 29.4 12Ø25 1337424.99 2.51431044
0.51 0.018
0.0864 0.001 1.2 0.0012 5.88 12Ø25 790803.73 1.218303473
0.62 0.011
0.0864 0.001 1.2 0.0012 5.88 12Ø25 647479.83 0.840644785
0.74 0.009
0.0864 0.001 1.2 0.0012 5.88 12Ø25 496379.85 0.557719707
0.85 0.007
0.0864 0.001 1.2 0.0012 5.88 12Ø25
Tabel 4. 44Biaxial Bending Kolom Pinggir arah x gedung 1
FRAME LANTAI
Pu Mu
Mn Pn
As terp ea
cb ab
Fb 1099
8 42375.396
1471588.650 1839485.8 65192.917
12Ø25 19.625 28.216038 38.13 32.4105 0.605
1098 7
98111.909 1182362.480
1477953.1 150941.4 12Ø25
19.625 9.7915689 38.13 32.4105 0.605 1097
6 154009.65
1179465.140 1474331.4 236937.92
12Ø25 19.625 6.2224377 38.13 32.4105 0.605
1096 5
213520.71 1096782.790
1370978.5 328493.4 12Ø25
19.625 4.1735344 38.13 32.4105 0.605 1175
4 341755.46
5629554.000 7036942.5 525777.64
12Ø25 19.625 13.383876 32.13 27.3105 0.430
1126 3
345751.36 677964.630
847455.79 531925.16 12Ø25
19.625 1.5931861 32.13 27.3105 0.430 1157
2 421916.57
329315.910 411644.89 649102.41
12Ø25 19.625 0.6341756 32.13 27.3105 0.430
1156 1
500641.77 178947.900 223684.88 770218.1 12Ø25 19.625 0.2904176 32.13 27.3105 0.430
1211 Basement
578510.85 176089.110
220111.39 890016.69 12Ø25
19.625 0.2473115 32.13 27.3105 0.430
⎟ ⎟
⎠ ⎞
⎜ ⎜
⎝ ⎛
c f
A P
gr
. 85
, .
φ ⎟
⎠ ⎞
⎜ ⎝
⎛ ⎟
⎟ ⎠
⎞ ⎜
⎜ ⎝
⎛ h
e c
f A
P
gr
. .
85 ,
. φ
211
Kb Mn b
Pn b eb
e cek
0.3 d + h2 – d’
CEK a-ab Py
Po Pi
PiPn 0.422 22215889 495880.65 44.801 56.766 eeb
39.615 iie 406495.38
991495.63 391846.5
ok 0.422 22215889 495880.65 44.801 38.342 eeb
39.615 iie 897815 991495.63
820308.82 ok
0.422 22215889 495880.65 44.801 34.772 eeb 39.615 iie 897815
991495.63 820308.82
ok 0.422 22215889 495880.65 44.801 32.724 eeb
39.615 iie 897815 991495.63
820308.82 ok
0.337 20968075 487492.43 43.012 36.934 eeb 47.615 iie 1212867.5
1322995.6 1119664.9 ok
0.337 20968075 487492.43 43.012 25.143 eeb 47.615 iie 1212867.5
1322995.6 1119664.9 ok
0.337 20968075 487492.43 43.012 24.184 eeb 47.615 iie 1212867.5
1322995.6 1119664.9 ok
0.337 20968075 487492.43 43.012 23.840 eeb 47.615 iie 1212867.5
1322995.6 1119664.9 ok
0.337 20968075 487492.43 43.012 23.797 eeb 47.615 iie 1212867.5
1322995.6 1119664.9 ok
Tabel 4. 45 Biaxial Bending Kolom Pinggir arah y Gedung 1
FRAME LANTAI
Pu Mu
Mn Pn
As terp ea
cb ab
Fb Kb
Mn b Pn b
1099 8
42375.396 255202.480 319003.1 65192.917 12Ø25 19.625 4.8932172 38.13 32.4105
0.605 0.422 22215889
495880.65 1098
7 98111.909 374963.910 468704.89 150941.4 12Ø25
19.625 3.105211 38.13 32.4105 0.605 0.422 22215889
495880.65 1097
6 154009.65 537187.090 671483.86 236937.92 12Ø25
19.625 2.8340076 38.13 32.4105 0.605 0.422
22215889 495880.65
1096 5
213520.71 429268.810 536586.01 328493.4 12Ø25 19.625 1.6334758 38.13 32.4105
0.605 0.422 22215889
495880.65 1198
4 341755.46
5629554.000 7036942.5 525777.64
12Ø25 19.625 13.383876 32.13 27.3105
0.430 0.337 20968075
487492.43 1126
3 345751.36 355385.850 444232.31 531925.16 12Ø25
19.625 0.8351406 32.13 27.3105 0.430 0.337
20968075 487492.43
1157 2
421916.57 336698.470 420873.09 649102.41 12Ø25 19.625 0.6483924 32.13 27.3105
0.430 0.337 20968075
487492.43 1156
1 500641.77 324505.330 405631.66 770218.1 12Ø25
19.625 0.5266452 32.13 27.3105 0.430 0.337
20968075 487492.43
1211 Basement
578510.85 280405.770 350507.21 890016.69 12Ø25 19.625 0.3938209 32.13 27.3105
0.430 0.337 20968075
487492.43 eb
e cek
0.3 d + h2 – d’
CEK a-ab Px
Po Pi
PiPo 44.801 33.443 eeb
39.615 iie 1295080.4
991495.63 391846.5 ok
44.801 31.655 eeb 39.615
iie 897815 991495.63
820308.82 ok
212
44.801 31.384 eeb 39.615
iie 897815 991495.63
820308.82 ok
44.801 30.183 eeb 39.615
iie 897815 991495.63
820308.82 ok
43.012 36.934 eeb 47.615
iie 1212867.5 1322995.6 1119664.9 ok
43.012 24.385 eeb 47.615
iie 1212867.5 1322995.6 1119664.9 ok
43.012 24.198 eeb 47.615
iie 1212867.5 1322995.6 1119664.9 ok
43.012 24.077 eeb 47.615
iie 1212867.5 1322995.6 1119664.9 ok
43.012 23.944 eeb 47.615
iie 1212867.5 1322995.6 1119664.9 ok
Tabel 4. 46Penulangan Kolom Tengah Gedung 2
LANTAI Pu
MX MY
Pn MnX
MnY MnyMnx
b h
d d
8 58412.850
1292939.600 4551119.000 89865.923 1989137.846 7001721.538 3.52 60 60
53.95 6.05
7 139497.743
2069046.800 4389039.000 214611.912 3183148.923 6752367.692 2.12 60 60
53.95 6.05
6 226591.728
2623495.500 5508074.000 348602.658 4036146.923 8473960.000 2.10 60 60
53.95 6.05
5 314763.504
3117019.000 5506911.000 484251.545 4795413.846 8472170.769 1.77 60 60
53.95 6.05
4 405655.000
4577990.000 7361264.000 624084.615 7043061.538 11325021.538 1.61 70 70
63.95 6.05
3 502138.000 5790410.000 8093603.000
772520.000 8908323.077 12451696.923 1.40 70
70 63.95
6.05 2
602346.609 5169340.000 7927350.000 926687.091 7952830.769 12195923.077
1.53 70 70
63.95 6.05
1 700093.000 6280312.000 8322560.000 1077066.154 9662018.462 12803938.462 1.33 70
70 63.95
6.05 Basement
801496.180 8350007.000 8942220.000 1233071.046 12846164.615 11177775.000 0.87 70
70 63.95
6.05
Mo ea
dh r
β ρ = r,β
As Tul
merata
8072795.76 89.83155669 0.12
0.176 0.1008 0.016 1.2 0.0192 69.1 16Ø25
8466370.96 39.44967857 0.28
0.184 0.1008 0.012 1.2 0.0144 51.8 12Ø25
10647269.88 30.54270994 0.46
0.232 0.1008 0.016 1.2 0.0192 69.1 16Ø25
⎟ ⎟
⎠ ⎞
⎜ ⎜
⎝ ⎛
c f
A P
gr
. 85
, .
φ ⎟
⎠ ⎞
⎜ ⎝
⎛ ⎟
⎟ ⎠
⎞ ⎜
⎜ ⎝
⎛ h
e c
f A
P
gr
. .
85 ,
. φ
213
11054316.69 22.8276333 0.63
0.241 0.1008
0.016 1.2
0.0192 69.1
16Ø25 15117439.29 24.2233808
0.60 0.207
0.0864 0.008
1.2 0.0096 47
12Ø25 17248486.27 22.32755951
0.74 0.237
0.0864 0.018 1.2 0.0216 106 24Ø25 16478216.57 17.78185618
0.89 0.226
0.0864 0.021 1.2 0.0252 123 28Ø25 18006563.79 16.71815953
1.03 0.247
0.0864 0.026 1.2 0.0312 153 36Ø25 18864966.54 15.29917242
1.18 0.259
0.0864 0.032 1.2 0.0384 188 40Ø25
Tabel 4. 47 Biaxial Bending Kolom Tengah arah x Gedung 2
FRAME LANTAI
Pu Mu
Mn Pn
As terp ea
cb ab
Fb Kb
Mn b Pn b
1200 8
58412.850 1292939.600
1616174.5 89865.923 16Ø25
24.531 17.984286 38.13 32.4105 0.605 0.422
22215889 495880.65
1235 7
139497.743 2069046.800
2586308.5 214611.91 12Ø25
19.625 12.051095 38.13 32.4105 0.605 0.422
22215889 495880.65
1198 6
226591.728 2623495.500
3279369.4 348602.66 16Ø25
24.531 9.4071841 38.13 32.4105 0.605 0.422
22215889 495880.65
1233 5
314763.504 3117019.000
3896273.8 484251.54 16Ø25
24.531 8.0459707 38.13 32.4105 0.605 0.422
22215889 495880.65
1196 4
405655.000 4577990.000
5722487.5 624084.62 12Ø25
19.625 9.1694097 32.13 27.3105 0.430 0.337
20968075 487492.43
1195 3
502138.000 5790410.000 7238012.5 772520 24Ø25 34.344 9.3693529 32.13 27.3105
0.430 0.337 26514100
487492.43 1194
2 602346.609 5169340.000 6461675 926687.09 28Ø25
39.25 6.9728769 32.13 27.3105 0.430 0.337 20968075
487492.43 1193
1 700093.000 6280312.000 7850390 1077066.2 36Ø25
49.063 7.2886795 32.13 27.3105 0.430 0.337
23741087 487492.43
1192 Basement
801496.180 8350007.000 10437509 1233071 40Ø25 53.969 8.4646451 32.13 27.3105
0.430 0.337 27438437
487492.43 eb
e cek
0.3 d + h2 – d’
CEK a-ab Py
Po Pi
PiPn 44.801 46.534 eeb
39.615 iie
160650.75 991495.63 157979.85 ok 44.801 40.601 eeb
39.615 iie 897815
991495.63 820308.82
ok 44.801 37.957 eeb
39.615 iie 897815
991495.63 820308.82
ok 44.801 36.596 eeb
39.615 iie 897815
991495.63 820308.82
ok 43.012 32.719 eeb
47.615 iie
1212867.5 1322995.6 1119664.9 ok 54.389 32.919 eeb
47.615 iie
1330617.5 1433239.1 1138559.5 ok 43.012 30.523 eeb
47.615 iie
1212867.5 1322995.6 1119664.9 ok
214
48.700 30.839 eeb 47.615
iie 1271742.5 1378117.3 1180612.7 ok
56.285 32.015 eeb 47.615
iie 1570080.4 1451613 1298577
ok
Tabel 4. 48 Biaxial Bending Kolom Tengah arah y Gedung 2
FRAME LANTAI
Pu Mu
Mn Pn
As terp ea
cb ab
Fb Kb
Mn b Pn b
1200 8
58412.850 4551119.000
5688898.8 89865.923 16Ø25
24.531 63.304293 38.13 32.4105 0.605 0.422
22215889 495880.65
1235 7
139497.743 4389039.000
5486298.8 214611.91 12Ø25
19.625 25.563813 38.13 32.4105 0.605 0.422
22215889 495880.65
1198 6
226591.728 5508074.000
6885092.5 348602.66 16Ø25
24.531 19.750545 38.13 32.4105 0.605 0.422
22215889 495880.65
1233 5
314763.504 5506911.000
6883638.8 484251.54 16Ø25
24.531 14.215006 38.13 32.4105 0.605 0.422
22215889 495880.65
1196 4
405655.000 7361264.000
9201580 624084.62 12Ø25
19.625 14.744122 32.13 27.3105 0.430 0.337
20968075 487492.43
1195 3
502138.000 8093603.000
10117004 772520 24Ø25
34.344 13.096106 32.13 27.3105 0.430 0.337
20968075 487492.43
1194 2
602346.609 7927350.000
9909187.5 926687.09 28Ø25
39.25 10.693132 32.13 27.3105 0.430 0.337 20968075
487492.43 1193
1 700093.000
8322560.000 10403200 1077066.2
36Ø25 49.063 9.658831 32.13 27.3105 0.430 0.337
23741087 487492.43
1192 Basement
801496.180 8942220.000
11177775 1233071 40Ø25
53.969 9.0649886 32.13 27.3105 0.430 0.337
41303500 487492.43
eb e
cek 0.3 d + h2
– d’ CEK a-ab
Px Po
Pi PiPo
44.801 91.854 eeb 39.615
iie 897815 991495.63
157979.85 ok
44.801 54.114 eeb 39.615
iie 897815 991495.63
820308.82 ok
44.801 48.301 eeb 39.615
iie 897815 991495.63
820308.82 ok
44.801 42.765 eeb 39.615
iie 897815 991495.63
820308.82 ok
43.012 38.294 eeb 47.615
iie 1212867.5 1322995.6 1119664.9 ok
43.012 36.646 eeb 47.615
iie 1212867.5 1322995.6 1138559.5 ok
43.012 34.243 eeb 47.615
iie 1212867.5 1322995.6 1119664.9 ok
48.700 33.209 eeb 47.615
iie 1271742.5 1378117.3 1180612.7 ok
84.726 32.615 eeb 47.615
iie 1570080.4 1727221.6
1298577 ok
215
Tabel 4. 49Penulangan Kolom Pinggir
LANTAI Pu
MX MY
Pn MnX
MnY MnyMnx
b h
d d
8 40187.48 2990464.300
3813620.300 61826.892 4600714.308 5867108.154 1.28 60 60
53.95 6.05
7 88819.26 2712742.000
3560521.700 136645.015 4173449.231 5477725.692
1.31 60 60
53.95 6.05
6 143347.66 3407905.900 4145679.400 220534.862 5242932.154 6377968.308 1.22 60
60 53.95
6.05 5
203932.115 3143064.800 3181601.600 313741.715 4835484.308 4894771.692 1.01 60 60
53.95 6.05
4 270780.64 3595629.400 3700388.000 416585.600 5531737.538 5692904.615 1.03 70
70 63.95
6.05 3
344745.79 4337891.100 4646457.400 530378.138 6673678.615 7148396.000 1.07 70 70
63.95 6.05
2 427996.95 5366943.800 4332970.600 658456.846 8256836.615 6666108.615 0.81 70
70 63.95
6.05 1
236782.41 6172905.100 4733135.900 364280.631 9496777.077 7281747.538 0.77 70 70
63.95 6.05
Basement 642724.43 8505416.700 7490206.300 988806.815 13085256.462 9362757.875
0.72 70 70
63.95 6.05
Mo ea
dh r
β ρ = r,β
As Tul
merata
8344415.86 134.9641806 0.08
0.182 0.1008 0.018 1.2 0.0216 77.8 16Ø25
7724967.59 56.53310927 0.18
0.168 0.1008 0.012 1.2 0.0144 51.8 12Ø25
9201085.62 41.72168317 0.29
0.200 0.1008 0.012 1.2 0.0144 51.8 12Ø25
7498494.01 23.9002136 0.41
0.163 0.1008 0.005 1.2 0.006 21.6 12Ø25
8671532.52 20.81572796 0.40
0.119 0.0864 0.001 1.2 0.0012 5.88 12Ø25
10741915.25 20.25331452 0.51
0.147 0.0864 0.002 1.2 0.0024 11.8 12Ø25
11846279.72 17.99097357 0.63
0.163 0.0864 0.003 1.2 0.0036 17.6 12Ø25
13417718.06 36.83346554 0.35
0.184 0.0864 0.012 1.2 0.0144 70.6 16Ø25
18126741.47 18.33193419 0.95
0.249 0.0864 0.024 1.2 0.0288 141 36Ø25
⎟ ⎟
⎠ ⎞
⎜ ⎜
⎝ ⎛
c f
A P
gr
. 85
, .
φ ⎟
⎠ ⎞
⎜ ⎝
⎛ ⎟
⎟ ⎠
⎞ ⎜
⎜ ⎝
⎛ h
e c
f A
P
gr
. .
85 ,
. φ
216
Tabel 4. 50 Biaxial Bending Kolom Pinggir arah x Gedung 2
FRAME LANTAI
Pu Mu
Mn Pn
As terp ea
cb ab
Fb Kb
Mn b Pn b
1191 8
40187.48 2990464.300 3738080.4 61826.892 16Ø25 24.531 60.460428 38.13 32.4105
0.605 0.422 22215889
495880.65 1226
7 88819.26 2712742.000 3390927.5 136645.02 12Ø25
19.625 24.815596 38.13 32.4105 0.605 0.422
22215889 495880.65
1189 6
143347.66 3407905.900 4259882.4 220534.86 12Ø25 19.625 19.316141 38.13 32.4105
0.605 0.422 24064564
495880.65 1188
5 203932.12 3143064.800 3928831 313741.72 12Ø25
19.625 12.522501 38.13 32.4105 0.605 0.422
22215889 495880.65
1187 4
270780.64 3595629.400 4494536.8 416585.6 12Ø25 19.625 10.788987 32.13 27.3105
0.430 0.337 20968075
487492.43 1150
3 344745.79 4337891.100 5422363.9 530378.14 12Ø25
19.625 10.223581 32.13 27.3105 0.430 0.337
20968075 487492.43
1149 2
427996.95 5366943.800 6708679.8 658456.85 12Ø25 19.625 10.188488 32.13 27.3105
0.430 0.337 23741087
487492.43 1184
1 236782.41 6172905.100 7716131.4 364280.63 16Ø25
24.531 21.181833 32.13 27.3105 0.430 0.337
20968075 487492.43
1183 Basement
642724.43 8505416.700 10631771 988806.82 36Ø25 49.063 10.752121 32.13 27.3105
0.430 0.337 20968075
487492.43 eb
e cek
0.3 d + h2 – d’
CEK a-ab Py
Po Pi
PiPn 44.801 89.010 eeb
39.615 iie
129550.26 991495.63 67612.11 ok
44.801 53.366 eeb 39.615
iie 488981.47 991495.63 223175.7
ok 48.529 47.866 eeb
39.615 iie
800239.85 1028243.4 451889.8 ok
44.801 41.073 eeb 39.615
iie 897815 991495.63
820308.82 ok
43.012 34.339 eeb 47.615
iie 1212867.5 1322995.6 1119664.9 ok
43.012 33.774 eeb 47.615
iie 1212867.5 1322995.6 1119664.9 ok
48.700 33.738 eeb 47.615
iie 1271742.5 1378117.3 1129704.2 ok
43.012 44.732 eeb 47.615
iie 1212867.5 1322995.6 1119664.9 ok
43.012 34.302 eeb 47.615
iie 1212867.5 1322995.6 1119664.9 ok
217
Tabel 4. 51 Biaxial Bending Kolom Pinggir arah y Gedung 2
FRAME LANTAI
Pu Mu
Mn Pn
As terp ea
cb ab
Fb Kb
Mn b Pn b
1191 8
40187.48 3813620.300 4767025.4 61826.892 16Ø25 24.531 77.102782 38.13 32.4105
0.605 0.422 23140226
495880.65 1226
7 88819.26 3560521.700 4450652.1 136645.02 12Ø25
19.625 32.570907 38.13 32.4105 0.605 0.422
22215889 495880.65
1189 6
143347.66 4145679.400 5182099.3 220534.86 12Ø25 19.625 23.497869 38.13 32.4105
0.605 0.422 22215889
495880.65 1188
5 203932.12 3181601.600 3977002 313741.72 12Ø25
19.625 12.676038 38.13 32.4105 0.605 0.422
22215889 495880.65
1187 4
270780.64 3700388.000 4625485 416585.6 12Ø25 19.625 11.103324 32.13 27.3105
0.430 0.337 20968075
487492.43 1150
3 344745.79 4646457.400 5808071.8 530378.14 12Ø25
19.625 10.950813 32.13 27.3105 0.430 0.337
20968075 487492.43
1149 2
427996.95 4332970.600 5416213.3 658456.85 12Ø25 19.625 8.2256161 32.13 27.3105
0.430 0.337 20968075
487492.43 1184
1 236782.41 4733135.900 5916419.9 364280.63 16Ø25
24.531 16.241379 32.13 27.3105 0.430 0.337
20968075 487492.43
1183 Basement
642724.43 7490206.300 9362757.9 988806.82 36Ø25 49.063 9.4687433 32.13 27.3105
0.430 0.337 20968075
487492.43 eb
e cek
0.3 d + h2 – d’
CEK a-ab Px
Po Pi
PiPo 46.665 105.653 eeb
39.615 iie
129550.26 1009869.5 67612.11 ok
44.801 61.121 eeb 39.615
iie 320935.22 991495.63 223175.7
ok 44.801 52.048 eeb
39.615 iie
632265.71 991495.63 451889.8 ok
44.801 41.226 eeb 39.615
iie 897815 991495.63
820308.82 ok
43.012 34.653 eeb 47.615
iie 1212867.5 1322995.6 1119664.9 ok
43.012 34.501 eeb 47.615
iie 1212867.5 1322995.6 1119664.9 ok
43.012 31.776 eeb 47.615
iie 1212867.5 1322995.6 1129704.2 ok
43.012 39.791 eeb 47.615
iie 1212867.5 1322995.6 1119664.9 ok
43.012 33.019 eeb 47.615
iie 1212867.5 1322995.6 1119664.9 ok
218
4.4 PERHITUNGAN CORE