Portal A akibat kombinasi pembebanan 3

3.5.1.3 Portal A akibat kombinasi pembebanan 3

Yang dimaksud dengan kombinasi pembebanan 3 sesuai peraturan AISC 1989 adalah : 1,3 D+E Gambar 3.38 Portal A dalam kombinasi pembebanan 3 Keterangan : Besar q dead yang bekerja : 1,876 Tm Besar P quake Lt. 1 : 3,1178 T Besar P quake Lt. 2 : 6,2356 T Besar P quake Lt. 3 : 9,3534 T Besar P quake Lt. 4 : 8,2449 T P quake P quake P quake P quake q dead q dead q dead q dead 8 m 8 m 8 m 4 m 4 m 4 m 4 m Universitas Sumatera Utara Mekanisme yang terjadi akibat pembebanan seperti gambar 3.38 di atas adalah sebagai berikut : 1. Mekanisme balok Lt.4 Atap Gambar 3.39 Mekanisme balok Lt.4 – Portal A3  Kerja Dalam = 4 x Mp . θ = 4 Mp θ  Kerja Luar = λ x q dead x ½.8m x 4m.θ = 1,3 x 1,876 Tm x 4m x 4m. θ = 39,028 T-m θ Kerja Dalam = Kerja Luar 4 Mp θ = 39,028 T-m θ Mp = 9,7552 T-m Mp Mp Mp Mp Universitas Sumatera Utara 2. Mekanisme balok Lt.3 Gambar 3.40 Mekanisme balok Lt.3 – Portal A3  Kerja Dalam = 4 x Mp . θ = 4 Mp θ  Kerja Luar = λ x q dead x ½.8m x 4m.θ = 1,3 x 1,876 Tm x 4m x 4m. θ = 39,028 T-m θ Kerja Dalam = Kerja Luar 4 Mp θ = 39,028 T-m θ Mp = 9,7552 T-m Mp Mp Mp Mp Universitas Sumatera Utara 3. Kombinasi : Mekanisme Balok Lt.4 Mekanisme Balok Lt.3 Gambar 3.41 Mekanisme Kombinasi 1 – Portal A3  Kerja Dalam = 8 x Mp . θ = 8 Mp θ  Kerja Luar = 2 x λ x q dead x ½.8m x 4m.θ = 2 x 1,3 x 1,876 Tm x 4m x 4m. θ = 78,0416 T-m θ Kerja Dalam = Kerja Luar 8 Mp θ = 78,0416 T-m θ Mp = 9,7552 T-m Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 4. Sway Mechanism Lt.4 a Gambar 3.42 Sway Mechanism Lt.4 a – Portal A3  Kerja Dalam = 8 x Mp . θ = 8 Mp θ  Kerja Luar = λ x P quake Lt.4 x 4m.θ = 1,3 x 8,2449T x 4m. θ = 42,8737 T-m θ Kerja Dalam = Kerja Luar 8 Mp θ = 42,8737 T-m θ Mp = 5,3592 T-m Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 5. Sway Mechanism Lt.3 a Gambar 3.43 Sway Mechanism Lt.3 a – Portal A3  Kerja Dalam = 8 x Mp . θ = 8 Mp θ  Kerja Luar = λ x P quake Lt.3 x 4m.θ + λ x P quake Lt.4 x 4m.θ = 1,3 x 9,3534T x 4m. θ + 1,3 x 8,2449T x 4m.θ = 91,5115 T-m θ Kerja Dalam = Kerja Luar 8 Mp θ = 91,5115 T-m θ Mp = 11,4389 T-m Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 6. Sway Mechanism Lt.2 a Gambar 3.44 Sway Mechanism Lt.2 a – Portal A3  Kerja Dalam = 8 x Mp . θ = 8 Mp θ  Kerja Luar = λ x P quake Lt.2 x 4m.θ + λ x P quake Lt.3 x 4m.θ + λ x P quake Lt.4 x 4m.θ = 1,3 x 6,2356T x 4m. θ + 1,3 x 9,3534T x 4m.θ + 1,3 x 8,2449T x 4m.θ = 123,9567 T-m θ Kerja Dalam = Kerja Luar 8 Mp θ = 123,9567 T-m θ Mp = 15,4921 T-m Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 7. Sway Mechanism Lt.1 a Gambar 3.45 Sway Mechanism Lt.2 a – Portal A3  Kerja Dalam = 8 x Mp . θ = 8 Mp θ  Kerja Luar = λ x P quake Lt.1 x 4m.θ + λ x P quake Lt.2 x 4m.θ + λ x P quake Lt.3 x 4m.θ + λ x P quake Lt.4 x 4m.θ = 1,3 x 3,1178T x 4m. θ + 1,3 x 6,2356T x 4m.θ + 1,3 x 9,3534T x 4m.θ + 1,3 x 8,2449T x 4m. θ = 140,1492 T-m θ Kerja Dalam = Kerja Luar 8 Mp θ = 140,1492 T-m θ Mp = 17,5187 T-m Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 8. Sway Mechanism Lt.4 b Gambar 3.46 Sway Mechanism Lt.4 b – Portal A3  Kerja Dalam = 6 x Mp . θ + 4 x Mp . θ = 10 Mp θ  Kerja Luar = λ x P quake Lt.4 x 4m.θ = 1,3 x 8,2449T x 4m. θ = 42,8737 T-m θ Kerja Dalam = Kerja Luar 10 Mp θ = 42,8737 T-m θ Mp = 4,2874 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 9. Sway Mechanism Lt.3 b Gambar 3.47 Sway Mechanism Lt.3 b – Portal A3  Kerja Dalam = 6 x Mp . θ + 4 x Mp . θ = 10 Mp θ  Kerja Luar = λ x P quake Lt.3 x 4m.θ + λ x P quake Lt.4 x 4m.θ = 1,3 x 9,3534T x 4m. θ + 1,3 x 8,2449T x 4m.θ = 91,5115 T-m θ Kerja Dalam = Kerja Luar 10 Mp θ = 91,5115 T-m θ Mp = 9,1512 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 10. Sway Mechanism Lt.2 b Gambar 3.48 Sway Mechanism Lt.2 b – Portal A3  Kerja Dalam = 6 x Mp . θ + 4 x Mp . θ = 10 Mp θ  Kerja Luar = λ x P quake Lt.2 x 4m.θ + λ x P quake Lt.3 x 4m.θ + λ x P quake Lt.4 x 4m.θ = 1,3 x 6,2356T x 4m. θ + 1,3 x 9,3534T x 4m.θ + 1,3 x 8,2449T x 4m.θ = 123,9567 T-m θ Kerja Dalam = Kerja Luar 10 Mp θ = 123,9567 T-m θ Mp = 12,3957 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 11. Sway Mechanism Lt.1 b Gambar 3.49 Sway Mechanism Lt.1 b – Portal A3  Kerja Dalam = 6 x Mp . θ + 4 x Mp . θ = 10 Mp θ  Kerja Luar = λ x P quake Lt.1 x 4m.θ + λ x P quake Lt.2 x 4m.θ + λ x P quake Lt.3 x 4m.θ + λ x P quake Lt.4 x 4m.θ = 1,3 x 3,1178T x 4m. θ + 1,3 x 6,2356T x 4m.θ + 1,3 x 9,3534T x 4m.θ + 1,3 x 8,2449T x 4m. θ = 140,1492 T-m θ Kerja Dalam = Kerja Luar 10 Mp θ = 140,1492 T-m θ Mp = 14,0149 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 12. Kombinasi : Sway Mechanism Lt.4 Sway Mechanism Lt.3 Gambar 3.50 Mekanisme Kombinasi 2 – Portal A3  Kerja Dalam = 6 x Mp . θ + 8 x Mp . θ = 14 Mp θ  Kerja Luar = λ x P quake Lt.3 x 4m.θ + λ x P quake Lt.4 x 8m.θ = 1,3 x 9,3534T x 4m. θ + 1,3 x 8,2449T x 8m.θ = 134,3852 T-m θ Kerja Dalam = Kerja Luar 14 Mp θ = 134,3852 T-m θ Mp = 9,5989 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 13. Kombinasi : Sway Mechanism Lt.3 Sway Mechanism Lt.2 Gambar 3.51 Mekanisme Kombinasi 3 – Portal A3  Kerja Dalam = 6 x Mp . θ + 8 x Mp . θ = 14 Mp θ  Kerja Luar = λ x P quake Lt.2 x 4m.θ + λ x P quake Lt.3 x 8m.θ + λ x P quake Lt.4 x 8m.θ = 1,3 x 6,2356T x 4m. θ + 1,3 x 9,3534T x 8m.θ + 1,3 x 8,2449T x 8m.θ = 215,4481 T-m θ Kerja Dalam = Kerja Luar 14 Mp θ = 215,4481 T-m θ Mp = 15,3892 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 14. Kombinasi : Sway Mechanism Lt.2 Sway Mechanism Lt.1 Gambar 3.52 Mekanisme Kombinasi 4 – Portal A3  Kerja Dalam = 6 x Mp . θ + 8 x Mp . θ = 14 Mp θ  Kerja Luar = λ x P quake Lt.1 x 4m.θ + λ x P quake Lt.2 x 8m.θ + λ x P quake Lt.3 x 8m.θ + λ x P quake Lt.4 x 8m.θ = 1,3 x 3,1178T x 4m. θ + 1,3 x 6,2356T x 8m.θ + 1,3 x 9,3534T x 8m.θ + 1,3 x 8,2449T x 8m. θ = 264,0859 T-m θ Kerja Dalam = Kerja Luar 14 Mp θ = 264,0859 T-m θ Mp = 18,8633 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 15. Kombinasi : Sway Mechanism Lt.4 , 3 2 Gambar 3.53 Mekanisme Kombinasi 5 – Portal A3  Kerja Dalam = 12 x Mp . θ + 8 x Mp . θ = 20 Mp θ  Kerja Luar = λ x P quake Lt.2 x 4m.θ + λ x P quake Lt.3 x 8m.θ + λ x P quake Lt.4 x 12m.θ = 1,3 x 6,2356T x 4m. θ + 1,3 x 9,3534T x 8m.θ + 1,3 x 8,2449T x12m.θ = 258,3219 T-m θ Kerja Dalam = Kerja Luar 20 Mp θ = 258,3219 T-m θ Mp = 12,9161 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 16. Kombinasi : Sway Mechanism Lt.3 , 2 1 Gambar 3.54 Mekanisme Kombinasi 6 – Portal A3  Kerja Dalam = 12 x Mp . θ + 8 x Mp . θ = 20 Mp θ  Kerja Luar = λ x P quake Lt.1 x 4m.θ + λ x P quake Lt.2 x 8m.θ + λ x P quake Lt.3 x 12m.θ + λ x P quake Lt.4 x 12m.θ = 1,3 x 3,1178T x 4m. θ + 1,3 x 6,2356T x 8m.θ + 1,3 x 9,3534T x12m.θ + 1,3 x 8,2449T x 12m. θ = 355,5974 T-m θ Kerja Dalam = Kerja Luar 20 Mp θ = 355,5974 T-m θ Mp = 17,7799 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 17. Kombinasi : Sway Mechanism Lt.4 , 3 , 2 1 Gambar 3.55 Mekanisme Kombinasi 7 – Portal A3  Kerja Dalam = 18 x Mp . θ + 8 x Mp . θ = 26 Mp θ  Kerja Luar = λ x P quake Lt.1 x 4m.θ + λ x P quake Lt.2 x 8m.θ + λ x P quake Lt.3 x 12m.θ + λ x P quake Lt.4 x 16m.θ = 1,3 x 3,1178T x 4m. θ + 1,3 x 6,2356T x 8m.θ + 1,3 x 9,3534T x12m.θ + 1,3 x 8,2449T x 16m. θ = 398,4711 T-m θ Kerja Dalam = Kerja Luar 26 Mp θ = 398,4711 T-m θ Mp = 15,3258 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 18. Kombinasi : Sway Mechanism Lt.4 , 3 Beam Mechanism Lt.3 Gambar 3.56 Mekanisme Kombinasi 8 – Portal A3  Kerja Dalam = 12 x Mp . θ + 8 x Mp . θ = 20 Mp θ  Kerja Luar = 3 x λ x q dead x ½.8m x 4m.θ + λ x P quake Lt.3 x 4m.θ + λ x P quake Lt.4 x 8m.θ = 3 x 1,3 x 1,876 Tm x 4m x 4m. θ + 1,3 x 9,3534T x 4m.θ + 1,3 x 8,2449T x 8m. θ = 251,4476 T-m θ Kerja Dalam = Kerja Luar 20 Mp θ = 251,4476 T-m θ Mp = 12,5724 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 19. Kombinasi : Sway Mechanism Lt.3 , 2 Beam Mechanism Lt.2 Gambar 3.57 Mekanisme Kombinasi 9 – Portal A3  Kerja Dalam = 12 x Mp . θ + 8 x Mp . θ = 20 Mp θ  Kerja Luar = 3 x λ x q dead x ½.8m x 4m.θ + λ x P quake Lt.2 x 4m.θ + λ x P quake Lt.3 x 8m.θ + λ x P quake Lt.4 x 8m.θ = 3 x 1,3 x 1,876 Tm x 4m x 4m. θ + 1,3 x 6,2356T x 4m.θ + 1,3 x 9,3534T x 8m. θ + 1,3 x 8,2449T x 8m.θ = 332,5105 T-m θ Kerja Dalam = Kerja Luar 20 Mp θ = 332,5105 T-m θ Mp = 16,5255 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 20. Kombinasi : Sway Mechanism Lt.2 , 1 Beam Mechanism Lt.1 Gambar 3.58 Mekanisme Kombinasi 10 – Portal A3  Kerja Dalam = 12 x Mp . θ + 8 x Mp . θ = 20 Mp θ  Kerja Luar = 3 x λ x q dead x ½.8m x 4m.θ + λ x P quake Lt.1 x 4m.θ + λ x P quake Lt.2 x 8m. θ + λ x P quake Lt.3 x 8m.θ + λ x P quake Lt.4 x 8m. θ = 3 x 1,3 x 1,876 Tm x 4m x 4m. θ + 1,3 x 3,1178T x 4m.θ + 1,3 x 6,2356T x 8m. θ + 1,3 x 9,3534T x 8m.θ + 1,3 x 8,2449T x 8m.θ = 381,1483 T-m θ Kerja Dalam = Kerja Luar 20 Mp θ = 381,1483 T-m θ Mp = 19,0574 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 21. Kombinasi : Sway Mechanism Lt.4 , 3 Beam Mechanism Lt.4 , 3 Gambar 3.59 Mekanisme Kombinasi 11 – Portal A3  Kerja Dalam = 24 x Mp . θ + 4 x Mp . θ = 28 Mp θ  Kerja Luar = 6 x λ x q dead x ½.8m x 4m.θ + λ x P quake Lt.3 x 8m.θ + λ x P quake Lt.4 x 8m. θ = 6 x 1,3 x 1,876 Tm x 4m x 4m. θ + 1,3 x 9,3534T x 4m.θ + 1,3 x 8,2449T x 8m. θ = 368,5100 T-m θ Kerja Dalam = Kerja Luar 28 Mp θ = 368,5100 T-m θ Mp = 13,1611 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 22. Kombinasi : Sway Mechanism Lt.3 , 2 Beam Mechanism Lt.3 , 2 Gambar 3.60 Mekanisme Kombinasi 12 – Portal A3  Kerja Dalam = 24 x Mp . θ + 8 x Mp . θ = 32 Mp θ  Kerja Luar = 6 x λ x q dead x ½.8m x 4m.θ + λ x P quake Lt.2 x 4m.θ + λ x P quake Lt.3 x 8m. θ + λ x P quake Lt.4 x 8m.θ = 6 x 1,3 x 1,876 Tm x 4m x 4m. θ + 1,3 x 6,2356T x 4m.θ + 1,3 x 9,3534T x 8m. θ + 1,3 x 8,2449T x 8m.θ = 449,5729 T-m θ Kerja Dalam = Kerja Luar 32 Mp θ = 449,5729 T-m θ Mp = 14,0491 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 23. Kombinasi : Sway Mechanism Lt.2 , 1 Beam Mechanism Lt.2 , 1 Gambar 3.61 Mekanisme Kombinasi 13 – Portal A3  Kerja Dalam = 24 x Mp . θ + 8 x Mp . θ = 32 Mp θ  Kerja Luar = 6 x λ x q dead x ½.8m x 4m.θ + λ x P quake Lt.1 x 4m.θ + λ x P quake Lt.2 x 8m. θ + λ x P quake Lt.3 x 8m.θ + λ x P quake Lt.4 x 8m. θ = 6 x 1,3 x 1,876 Tm x 4m x 4m. θ + 1,3 x 3,1178T x 4m.θ + 1,3 x 6,2356T x 8m. θ + 1,3 x 9,3534T x 8m.θ + 1,3 x 8,2449T x 8m.θ = 498,2107 T-m θ Kerja Dalam = Kerja Luar 32 Mp θ = 498,2107 T-m θ Mp = 15,5691 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 24. Kombinasi : Sway Mechanism Lt.4, 3, 2 Beam Mechanism Lt.4, 3, 2 Gambar 3.62 Mekanisme Kombinasi 14 – Portal A3  Kerja Dalam = 36 x Mp . θ + 4 x Mp . θ = 40 Mp θ  Kerja Luar = 9 x λ x q dead x ½.8m x 4m.θ + λ x P quake Lt.2 x 4m.θ + λ x P quake Lt.3 x 8m. θ + λ x P quake Lt.4 x 12m.θ = 9 x 1,3 x 1,876 Tm x 4m x 4m. θ + 1,3 x 6.2356T x 4m.θ + 1,3 x 9,3534T x 8m. θ + 1,3 x 8,2449T x 12m.θ = 609,5091 T-m θ Kerja Dalam = Kerja Luar 40 Mp θ = 609,5091 T-m θ Mp = 15,2377 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 25. Kombinasi : Sway Mechanism Lt.3, 2, 1 Beam Mechanism Lt.3, 2, 1 Gambar 3.63 Mekanisme Kombinasi 15 – Portal A3  Kerja Dalam = 36 x Mp . θ + 8 x Mp . θ = 44 Mp θ  Kerja Luar = 9 x λ x q dead x ½.8m x 4m.θ + λ x P quake Lt.1 x 4m.θ + λ x P quake Lt.2 x 8m. θ + λ x P quake Lt.3 x 12m.θ + λ x P quake Lt.4 x 12m. θ = 9 x 1,3 x 1,876 Tm x 4m x 4m. θ + 1,3 x 3,1178T x4m.θ + 1,3 x 6.2356T x 8m. θ + 1,3 x 9,3534T x 12m.θ + 1,3 x 8,2449T x 12m.θ = 706,7849 T-m θ Kerja Dalam = Kerja Luar 44 Mp θ = 706,7849 T-m θ Mp = 16,0629 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara 26. Kombinasi : Sway Mechanism Lt.4, 3, 2, 1 Beam Mechanism Lt.4, 3, 2, 1 Gambar 3.64 Mekanisme Kombinasi 16 – Portal A3  Kerja Dalam = 48 x Mp . θ + 4 x Mp . θ = 52 Mp θ  Kerja Luar = 12 x λ x q dead x ½.8m x 4m.θ + λ x P quake Lt.1 x 4m.θ + λ xP quake Lt.2 x8m. θ + λ x P quake Lt.3 x 12m.θ + λ xP quake Lt.4 x 16m. θ = 12 x 1,3 x 1,876 Tm x 4m x 4m. θ + 1,3 x 3,1178T x4m.θ + 1,3 x 6.2356T x 8m. θ + 1,3 x 9,3534T x 12m.θ + 1,3 x 8,2449T x 16m.θ = 866,7207 T-m θ Kerja Dalam = Kerja Luar 52 Mp θ = 866,7207 T-m θ Mp = 16,6677 T-m Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Mp Universitas Sumatera Utara

3.5.1.4 Rekapitulasi Momen Plastis pada Portal A