Tulangan Kombinasi Geser Lentur dan Torsi Tulangan Kombinasi Geser Lentur dan Torsi Frame

Tugas Akhir Perencanaan Struktur Gedung Apartemen Permata Berlian Jakarta Nur Khozin Saryono Andi Darmawan L2A 305 027 L2A 305 034

d. Tulangan Kombinasi Geser Lentur dan Torsi

Vu = 796 530 N Tu = 32,07 kNm = 32,70.10 6 Nmm Tn = Tu φ= 32,70.10 6 0,75 = 42 760 000 Nmm Σ x 2 y = bw 2 .h+hf 2 .3.hf = 600 2 .950+120 2 .3.120 = 347 184 000 mm 3 Tu min = φ. c f 20. Σ x 2 y = 0,75. 30 20. 347 184 000 = 71 310 190,7 Nmm Tu Tu min, maka torsi diabaikan. Untuk menghindari susut pada beton dipasang tulangan susut 4D13 Gambar 4.22 Penulangan balok induk frame 76 Tugas Akhir Perencanaan Struktur Gedung Apartemen Permata Berlian Jakarta Nur Khozin Saryono Andi Darmawan L2A 305 027 L2A 305 034

e. Tulangan Kombinasi Geser Lentur dan Torsi Frame

= 78 lantai Semi Basement Type = B-6090 h = 900 mm tinggi balok bw = 600 mm lebar balok hf = 120 mm tebal plat p = 40 mm tebal selimut beton ∅ tul. tekan = 25 mm ; ∅ tul. tarik = 25 mm ; ∅ sengkang = 10 mm d = h – P –12 ∅ tul. - ∅ sengkang d = 900 – 40 – ½.25 – 10 = 837,5 mm Vu = 550,992 kN = 550992 N Tu = 183,788 kNm = 183,788.10 6 Nmm Tn = Tu φ= 183,788.10 6 0,75 = 245050666,67Nmm Σ x 2 y = bw 2 .h+hf 2 .3.hf = 600 2 .900+120 2 .3.120 = 329 184 000 mm 3 Tu min = φ. c f 20. Σ x 2 y = 0,75. 30 20.329 184 000 = 67 613 063,4 Nmm Tu Tu min, maka pengaruh torsi dihitung x 1 = bw – 2p - ∅ sengkang = 600 – 2.40 – 10 = 510 mm Y 1 = h – 2p - ∅ sengkang = 900 – 2.40 – 10 = 810 mm ct = bw.d Σ x2 y = 600.8.7,5329 184 000 = 0,002 αt = at = 0,66 + 0,33 . Y 1 x 1 = 0,66 + 0,33 . 810 510 = 1,184 Tc = VuTu} . ct 0.4 {1 . . 15 2 2 + + ∑ y x c f = } 3,788.10 55099218 . 0,002 0.4 {1 329184000 . 15 30 6 2 + + = 94 522 387,429 Nmm Tugas Akhir Perencanaan Struktur Gedung Apartemen Permata Berlian Jakarta Nur Khozin Saryono Andi Darmawan L2A 305 027 L2A 305 034 Ts = Tn – Tc = 245050666,67 - 94 522 387,429 = 150528279,237 N.mm At s = Tn - Tc αt . x 1 . Y 1 . fy = 245050666,67 - 94 522 387,4291,184.510.810.400 = 596,768 A 1 = 2. At . x 1 + Y 1 s = 2. 245050666,67 - 94 522 387,429.510+810 1,184.510.810.400 = 2001,010 mm 2 digunakan tulangan torsi 6 D16 As = 2946,428 mm 2 Gambar 4.23 Penulangan balok induk frame 78 Tugas Akhir Perencanaan Struktur Gedung Apartemen Permata Berlian Jakarta Nur Khozin Saryono Andi Darmawan L2A 305 027 L2A 305 034

4.7.5. Desain Tulangan menggunakan SAP2000

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

2.15 24507000