Tabel 1. Gaya-Gaya Dalam Pada Rangka Batang Akibat Kombinasi Pembebanan

BebanNomor Batang

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15Mati 4484.84 4484.84 3853.46 3222.09 -5177.35 -4448.48 -3719.61 -2990.74 197.46 -728.87 561.62 -963.89 925.78 -1261.81 2382.42

Air Hujan 728.58 728.58 624.5 520.42 -841.08 -720.93 -600.77 -480.62 0 -120.15 60.03 -158.9 120.06 -208.01 360.19Angin Kiri 300.01 300.01 239.94 179.86 51.83 86.56 121.29 156.01 0 -69.35 34.65 -91.71 69.3 -120.06 -103.95Angin Kanan -600.57 -600.57 -480.42 -360.27 312.45 242.99 173.54 104.08 0 138.7 -69.3 183.43 -138.6 240.12 -103.95Kombinasi 1 6278.78 6278.78 5394.85 4510.92 -7248.29 -6227.87 -5207.45 -4187.03 276.44 -1020.42 786.27 -1349.45 1296.09 -1766.53 3335.39Kombinasi 2 5746.1 5746.1 4936.41 4126.71 -6633.36 -5698.64 -4763.92 -3829.2 236.95 -934.72 703.96 -1236.12 1170.97 -1618.17 3039Kombinasi 3 6787.56 6787.56 5815.31 4843.06 -7517.09 -6422.41 -5327.74 -4233.06 236.95 -1122.37 797.71 -1484.28 1358.48 -1943.03 3352.05Kombinasi 4 6067.09 6067.09 5239.02 4410.95 -7308.59 -6297.27 -5285.94 -4274.61 236.95 -955.93 714.56 -1264.17 1192.16 -1654.88 3352.05Kombinasi 5 6136.12 6136.12 5248.33 4360.53 -6565.98 -5586.11 -4606.24 -3626.38 236.95 -1024.88 749 -1355.35 1261.06 -1774.25 2903.87Kombinasi 6 4965.36 4965.36 4311.86 3658.36 -6227.18 -5382.75 -4538.32 -3693.89 236.95 -754.41 613.87 -997.66 990.79 -1306.01 2903.87Kombinasi 7 5381.81 5381.81 4624.16 3866.5 -6212.82 -5338.17 -4463.53 -3588.89 236.95 -874.64 673.94 -1156.67 1110.94 -1514.17 2858.9Kombinasi 8 4426.38 4426.38 3780.04 3133.7 -4592.23 -3891.1 -3189.97 -2488.84 177.71 -746.14 550.5 -986.73 923.29 -1291.7 2009.04Kombinasi 9 3255.62 3255.62 2843.57 2431.53 -4253.43 -3687.74 -3122.05 -2556.36 177.71 -475.67 415.37 -629.05 653.02 -823.47 2009.04

Kombinasi 10 3646.34 3646.34 3156.2 2666.05 -4726.99 -4116.16 -3505.32 -2894.48 177.71 -565.83 460.41 -748.28 743.11 -979.55 2279.31Kombinasi 11 4817.1 4817.1 4092.67 3368.23 -5065.8 -4319.52 -3573.24 -2826.97 177.71 -836.3 595.55 -1105.96 1013.38 -1447.78 2279.31

Keterangan Tarik Tarik Tarik Tarik Tekan Tekan Tekan Tekan Tarik Tarik Tarik Tekan Tarik Tekan TarikMaksimum 6787.56 6787.56 5815.31 4843.06 -7517.09 -6422.41 -5327.74 -4274.61 276.44 138.7 797.71 -1484.28 1358.48 -1943.03 3352.05

Tabel 1. Gaya-Gaya Dalam Pada Rangka Batang Akibat Kombinasi Pembebanan

BebanNomor Batang

1' 2' 3' 4' 5' 6' 7' 8' 9' 10' 11' 12' 13' 14'Mati 3222.09 3853.46 4484.84 4484.84 -5177.35 -4448.48 -3719.61 -2990.74 197.46 -728.87 561.62 -963.89 925.78 -1261.81

Air Hujan 520.42 624.5 728.58 728.58 -841.08 -720.93 -600.77 -480.62 0 -120.15 60.03 -158.9 120.06 -208.01Angin Kiri -0.36 -120.51 -240.66 -240.66 312.45 242.99 173.54 104.08 0 138.7 -69.3 183.43 -138.6 240.12

Angin Kanan -180.04 -119.97 -59.89 -59.89 51.83 86.56 121.29 156.01 0 -69.35 34.65 -91.71 69.3 -120.06Kombinasi 1 4510.92 5394.85 6278.78 6278.78 -7248.29 -6227.87 -5207.45 -4187.03 276.44 -1020.42 786.27 -1349.45 1296.09 -1766.53Kombinasi 2 4126.71 4936.41 5746.1 5746.1 -6633.36 -5698.64 -4763.92 -3829.2 236.95 -934.72 703.96 -1236.12 1170.97 -1618.17Kombinasi 3 4698.88 5526.95 6355.01 6355.01 -7308.59 -6297.27 -5285.94 -4274.61 236.95 -955.93 714.56 -1264.17 1192.16 -1654.88Kombinasi 4 4555.13 5527.38 6499.63 6499.63 -7517.09 -6422.41 -5327.74 -4233.06 236.95 -1122.37 797.71 -1484.28 1358.48 -1943.03Kombinasi 5 4126.24 4779.74 5433.24 5433.24 -6227.18 -5382.75 -4538.32 -3693.89 236.95 -754.41 613.87 -997.66 990.79 -1306.01Kombinasi 6 3892.65 4780.45 5668.24 5668.24 -6565.98 -5586.11 -4606.24 -3626.38 236.95 -1024.88 749 -1355.35 1261.06 -1774.25Kombinasi 7 3866.5 4624.16 5381.81 5381.81 -6212.82 -5338.17 -4463.53 -3588.89 236.95 -874.64 673.94 -1156.67 1110.94 -1514.17Kombinasi 8 2899.41 3311.45 3723.5 3723.5 -4253.43 -3687.74 -3122.05 -2556.36 177.71 -475.67 415.37 -629.05 653.02 -823.47Kombinasi 9 2665.82 3312.16 3958.5 3958.5 -4592.23 -3891.1 -3189.97 -2488.84 177.71 -746.14 550.5 -986.73 923.29 -1291.7

Kombinasi 10 2900.35 3624.79 4349.22 4349.22 -5065.8 -4319.52 -3573.24 -2826.97 177.71 -836.3 595.55 -1105.96 1013.38 -1447.78Kombinasi 11 3133.94 3624.08 4114.22 4114.22 -4726.99 -4116.16 -3505.32 -2894.48 177.71 -565.83 460.41 -748.28 743.11 -979.55

Keterangan Tarik Tarik Tarik Tarik Tekan Tekan Tekan Tekan Tarik Tekan Tarik Tekan Tarik Tekan

Maksimum 4698.88 5527.38 6499.63 6499.63 -7517.09 -6422.41 -5327.74 -4274.61 276.44 -1122.37 797.71 -1484.28 1358.48 -1943.03

Tabel 2. Perhitungan Dimensi Batang Tarik

fy = 240 MPa φ = 0.9 (Kondisi Leleh) Diameter Baut = 10 mm Digunakan Profil Baja 2Lfu = 370 MPa φ = 0.75 (Kondisi Fraktur)

BatangNu Max Lk Data Profil Kelangsingan Luas Penampang

(N) (mm) h (mm) b (mm) t (mm) rx (mm) F (mm2) w (mm) e (mm) = (L/rx)≤ 2401 67875.6 1625 30 30 4 8.9 227 21.2 8.9 182.58 OK 454 410 3692 67875.6 1625 30 30 4 8.9 227 21.2 8.9 182.58 OK 454 410 3693 58153.1 1625 30 30 4 8.9 227 21.2 8.9 182.58 OK 454 410 3694 48430.6 1625 30 30 4 8.9 227 21.2 8.9 182.58 OK 454 410 3691' 46988.8 1625 30 30 4 8.9 227 21.2 8.9 182.58 OK 454 410 3692' 55273.8 1625 30 30 4 8.9 227 21.2 8.9 182.58 OK 454 410 3693' 64996.3 1625 30 30 4 8.9 227 21.2 8.9 182.58 OK 454 410 3694' 64996.3 1625 30 30 4 8.9 227 21.2 8.9 182.58 OK 454 410 369

9 = 9' 2764.4 934 30 30 4 8.9 227 21.2 8.9 104.94 OK 454 410 36911 = 11' 7977.1 1873 30 30 4 8.9 227 21.2 8.9 210.45 OK 454 410 36913 =13' 13584.8 2811 40 40 5 12 379 28.3 11.6 234.25 OK 758 703 632.7

15 33520.5 3749 55 55 6 16.6 631 38.9 15.6 225.84 OK 1262 1196 1076.4

BatangKuat Rencana φNn (N)

Leleh Fraktur baut Syarat: U = 1 - (x / L) < 0,9 L U1 98064 102397.5 98064 OK 1625 0.92 98064 102397.5 98064 OK 1625 0.93 98064 102397.5 98064 OK 1625 0.94 98064 102397.5 98064 OK 1625 0.91' 98064 102397.5 98064 OK 1625 0.92' 98064 102397.5 98064 OK 1625 0.93' 98064 102397.5 98064 OK 1625 0.94' 98064 102397.5 98064 OK 1625 0.9

9 = 9' 98064 102397.5 98064 OK 934 0.911 = 11' 98064 102397.5 98064 OK 1873 0.913 =13' 163728 175574.25 163728 OK 2811 0.9

Ag (mm2) Anet (mm2) Ae baut (mm2)

φNn (N) Terkecil

Nu Max ≤ φNn

15 272592 298701 272592 OK 3749 0.9

Tabel 2. Perhitungan Dimensi Batang Tarik

Tabel 3. Perhitungan Dimensi Batang Tekan

fy = 240 MPa E = 200000 MPa Digunakan Profil Baja 2Lfu = 370 MPa

BatangNu Max Data Profil Lk Jml Ll Kelangsingan Sumbu x

(N) h (mm) b (mm) t (mm) rx (mm) F (mm2) e (mm) r min (mm)Iyo (mm) (mm) Lapangan (mm) λx λc ωx λl5 = 5' 75170.9 50 50 5 15.1 480 14 9.8 110000 1876 4 469.00 124.24 1.369 2.344 47.866 = 6' 64224.1 50 50 5 15.1 480 14 9.8 110000 1876 4 469.00 124.24 1.369 2.344 47.867 = 7' 53277.4 50 50 5 15.1 480 14 9.8 110000 1876 4 469.00 124.24 1.369 2.344 47.868 = 8' 42746.1 50 50 5 15.1 480 14 9.8 110000 1876 4 469.00 124.24 1.369 2.344 47.86

10 = 10' 11223.7 40 40 5 12 379 11.6 7.7 54300 1874 5 374.80 156.17 1.721 3.704 48.6812 = 12' 14842.8 40 40 5 12 379 11.6 7.7 54300 2479 7 354.14 206.58 2.277 6.481 45.9914 = 14' 19430.3 50 50 5 15.1 480 14 9.8 110000 3247 7 463.86 215.03 2.370 7.022 47.33

BatangKelangsingan Sumbu y Kelangsingan Batang Kontrol Kestabilan Kuat Nominal

a (mm) ry (mm) λy λiy λc ωy λl < 50 λx ≥ 1,2λl λy ≥ 1,2λl Sb x (N) Sb y (N)

5 = 5' 38 566560 960 24.293 77.223 90.855 0.851 1.389 OK OK OK 98294.4 1659086 = 6' 38 566560 960 24.293 77.223 90.855 0.851 1.389 OK OK OK 98294.4 1659087 = 7' 38 566560 960 24.293 77.223 90.855 0.851 1.389 OK OK OK 98294.4 165908 \8 = 8' 38 566560 960 24.293 77.223 90.855 0.851 1.389 OK OK OK 98294.4 165908

10 = 10' 33.2 317474 758 20.465 91.569 103.707 1.009 1.548 OK OK OK 49120.4 11752012 = 12' 33.2 317474 758 20.465 121.131 129.573 1.335 2.027 OK OK OK 28070.4 89746.914 = 14' 38 566560 960 24.293 133.658 141.795 1.473 2.333 OK OK OK 32811.8 98759.1

BatangSyarat: λc ≤ 0,25 . . . . . . . . .ω = 1

5 = 5' 83550.23 OK 0,25 < λc < 1,2 . . . . ω = 1,43/(1,6-0,67*λc)

6 = 6' 83550.23 OK

7 = 7' 83550.23 OK8 = 8' 83550.23 OK

10 = 10' 41752.33 OK12 = 12' 23859.8 OK

Iy (mm4) ag (mm2)

φNn (N) Terkecil

Nu Max ≤ φNn

λc ≥ 1,2 . . . . . . . . . . ω = 1,25*λc2

14 = 14' 27890 OK

Tabel 3. Perhitungan Dimensi Batang Tekan

fy = 240 MPa E = 200000 MPa Digunakan Profil Baja 2Lfu = 370 MPa G = 80000 Mpa

BatangNu Max Data Profil Lk

λc ωfcr

(N) h (mm) b (mm) t (mm) ry (mm) F (mm2) e (mm) r min (mm)Iyo (mm) (mm) (mm) (mm) (Mpa)

5 = 5' 75170.9 50 50 5 15.1 480 14 9.8 110000 1876 11.5 0 590.58 1.369 2.344 102.396 = 6' 64224.1 50 50 5 15.1 480 14 9.8 110000 1876 11.5 0 590.58 1.369 2.344 102.397 = 7' 53277.4 50 50 5 15.1 480 14 9.8 110000 1876 11.5 0 590.58 1.369 2.344 102.398 = 8' 42746.1 50 50 5 15.1 480 14 9.8 110000 1876 11.5 0 590.58 1.369 2.344 102.39

10 = 10' 11223.7 40 40 5 12 379 11.6 7.7 54300 1874 9.1 0 369.35 1.721 3.704 64.8012 = 12' 14842.8 40 40 5 12 379 11.6 7.7 54300 2479 9.1 0 369.35 2.277 6.481 37.0314 = 14' 19430.3 50 50 5 15.1 480 14 9.8 110000 3247 11.5 0 590.58 2.370 7.022 34.18

BatangJ fcrz H fclt φNnlt Syarat: λc ≤ 0,25 . . . . . . . . .ω = 1

(Mpa) (Mpa) (N) 0,25 < λc < 1,2 . . . . ω = 1,43/(1,6-0,67*λc)

5 = 5' 7916.667 2234.138 0.776069 101.312 82670.86 OK

6 = 6' 7916.667 2234.138 0.776069 101.312 82670.86 OK7 = 7' 7916.667 2234.138 0.776069 101.312 82670.86 OK \8 = 8' 7916.667 2234.138 0.776069 101.312 82670.86 OK

10 = 10' 6250 3571.812 0.775797 64.5364 41580.79 OK12 = 12' 6250 3571.812 0.775797 36.9456 23804.02 OK14 = 14' 7916.667 2234.138 0.776069 34.0609 27793.66 OK

y0 X0 r02

(mm2)

Nu Max ≤ φNnlt (mm4)

λc ≥ 1,2 . . . . . . . . . . ω = 1,25*λc2

Tabel 4. Perhitungan Pelat Kopel

fy = 240 MPa E = 200000 MPa Baut A307 ft = 310 MPafu = 370 MPa Digunakan Profil Baja 2L Diameter 20 mm fv = 165 MPa

BatangNu Max Data Profil Anet Panjang Jml Ll

(N) h (mm) b (mm) d (mm) e (mm) v (mm) w (mm) (mm2) (mm) lapangan (mm)

5 = 5' 75170.9 50 50 5 480 14 19.8 35.4 960 45900 860 1876 4 469.006 = 6' 64224.1 50 50 5 480 14 19.8 35.4 960 45900 860 1876 4 469.007 = 7' 53277.4 50 50 5 480 14 19.8 35.4 960 45900 860 1876 4 469.008 = 8' 42746.1 50 50 5 480 14 19.8 35.4 960 45900 860 1876 4 469.00

10 = 10' 11223.7 40 40 5 379 11.6 16.4 28.3 758 22200 658 1874 5 374.8012 = 12' 14842.8 40 40 5 379 11.6 16.4 28.3 758 22200 658 2479 7 354.1414 = 14' 19430.3 50 50 5 480 14 19.8 35.4 960 45900 860 3247 7 463.86

BatangDimensi Pelat Kopel Ip a hr h Gaya Pada Pelat Kopel Kuat Sambungan (N) Jumlah

b (mm) t (mm) (mm) (mm) (mm) D (N) x (N) y (N) øRn Baut

5 = 5' 40 5 53333.33 47.8 90.6 99.8 1503.42 7065.16 45721.68 51857.14 744000 51857.14 26 = 6' 40 5 53333.333 47.8 90.6 99.8 1284.48 6036.29 39063.44 51857.14 744000 51857.14 27 = 7' 40 5 53333.333 47.8 90.6 99.8 1065.55 5007.43 32405.26 51857.14 744000 51857.14 28 = 8' 40 5 53333.333 47.8 90.6 99.8 854.92 4017.62 25999.74 51857.14 744000 51857.14 2

10 = 10' 40 5 53333.333 39.6 73 96.4 224.47 872.75 5492.29 51857.14 744000 51857.14 212 = 12' 40 5 53333.333 39.6 73 96.4 296.86 1090.55 6862.971 51857.14 744000 51857.14 214 = 14' 40 5 53333.333 47.8 90.6 99.8 388.61 1806.19 11688.62 51857.14 744000 51857.14 2

BatangIp Kontrol Mu Vu Mn Vna (Nmm) (N) (Nmm) (Nmm)

5 = 5' 1115.76 978.68 OK 70651.61 3532.58 480000 123840 0.1834 OK6 = 6' 1115.76 978.68 OK 60362.93 3018.15 480000 123840 0.1567 OK7 = 7' 1115.76 978.68 OK 50074.35 2503.72 480000 123840 0.1300 OK8 = 8' 1115.76 978.68 OK 40176.19 2008.81 480000 123840 0.1043 OK

10 = 10' 1346.80 592.32 OK 8727.475 436.37 480000 94752 0.0234 OK12 = 12' 1346.80 626.87 OK 10905.54 545.28 480000 94752 0.0292 OK

F (mm2) A (mm2) In (mm4)

(mm4) øRn1 øRn2

≤ 1,375

14 = 14' 1115.76 989.53 OK 18061.89 903.09 480000 123840 0.0469 OK

l

Tabel 6. Perhitungan Sambungan Baut

fy = 240 MPa Baut A307 ft = 310 MPafu = 370 MPa Diameter 10 mm fv = 165 MPa

BatangNu Max Data Profil Ab Kekuatan Baut Kuat Nominal Jumlah Baut

(N) h (mm) b (mm) t (mm) e (mm) Geser (N) Tumpu (N) Terkecil (N) (buah)1 = 4' 67875.6 30 30 4 8.9 78.57 25928.57 35520 25928.57 42 = 3' 67875.6 30 30 4 8.9 78.57 25928.57 35520 25928.57 43 = 2' 58153.1 30 30 4 8.9 78.57 25928.57 35520 25928.57 34 = 1' 48430.6 30 30 4 8.9 78.57 25928.57 35520 25928.57 35 = 5' 75170.9 50 50 5 14 78.57 25928.57 44400 25928.57 46 = 6' 64224.1 50 50 5 14 78.57 25928.57 44400 25928.57 47 = 7' 53277.4 50 50 5 14 78.57 25928.57 44400 25928.57 38 = 8' 42746.1 50 50 5 14 78.57 25928.57 44400 25928.57 39 = 9' 2764.4 30 30 4 8.9 78.57 25928.57 35520 25928.57 1

10 = 10' 11223.7 40 40 5 11.6 78.57 25928.57 44400 25928.57 111= 11' 7977.1 30 30 4 8.9 78.57 25928.57 35520 25928.57 112 = 12' 14842.8 40 40 5 11.6 78.57 25928.57 44400 25928.57 113 = 13' 13584.8 40 40 5 11.6 78.57 25928.57 44400 25928.57 114 = 14' 19430.3 50 50 5 14 78.57 25928.57 44400 25928.57 1

15 3352.05 55 55 6 15.6 78.57 25928.57 53280 25928.57 1

Syarat: S = Jarak antar pusat baut 30S' = Jarak pusat baut ke tepi pelat 15

Smax = 200 mm S'max = 60 mm

(mm2)

Smin ≥ 3d . . . . . . . . .Smin ≥ S'min ≥ 1,5d . . . . . . . . .S'min ≥