TUGAS SI-3213

DINAMIKA STRUKTUR DAN REKAYASA GEMPA

Dosen :Dr. Ir. Sigit Darmawan

Oleh :

Theresia Y. S. Aruan

15012151

PROGRAM STUDI TEKNIK SIPIL

FAKULTAS TEKNIK SIPIL DAN LINGKUNGAN

INSTITUT TEKNOLOGI BANDUNG

2015

12.1 3.20061812.2 2.72907512.3 0.00834712.4 -2.7185812.5 -3.2039912.6 -1.048212.7 1.97116312.8 3.36490412.9 1.984318

13 -1.0319913.1 -3.1970313.2 -2.7259213.3 -0.0073213.4 2.71715613.5 3.20116113.6 1.04569513.7 -1.9720113.8 -3.363813.9 -1.9821

14 1.0339814.1 3.19771914.2 2.72506814.3 0.00556714.4 -2.7187414.5 -3.2017214.6 -1.0450414.7 1.97338314.8 3.36505914.9 1.982553

15 -1.03449

8.1 3.2247368.2 2.7582328.3 0.0258958.4 -2.721048.5 -3.222868.6 -1.071268.7 1.9571088.8 3.3666118.9 1.999093

9 -1.013759.1 -3.185789.2 -2.727089.3 -0.018889.4 2.7027349.5 3.1921549.6 1.046479.7 -1.962969.8 -3.35249.9 -1.9748910 1.033482

10.1 3.19064610.2 2.71605410.3 -0.000210.4 -2.7184410.5 -3.1961910.6 -1.0379110.7 1.97799410.8 3.36489210.9 1.97823

11 -1.0401211.1 -3.2024911.2 -2.7259911.3 -0.0025611.4 2.72357811.5 3.20552211.6 1.04581611.7 -1.9757211.8 -3.3688811.9 -1.98558

12 1.033833

Untuk kasus beban lantai tanpa beban tambahan

2. Data respon riwayat waktu terhadap simpangan x(t)

4.1 3.5008624.2 3.0603574.3 0.1844214.4 -2.777624.5 -3.439444.6 -1.310544.7 1.8296814.8 3.4089164.9 2.168925

5 -0.824275.1 -3.083395.2 -2.75865.3 -0.152035.4 2.5527125.5 3.109925.6 1.0698665.7 -1.858585.8 -3.233635.9 -1.90886

6 1.0161916.1 3.1088416.2 2.6220436.3 -0.053196.4 -2.705726.5 -3.132096.6 -0.963516.7 2.0205036.8 3.3555926.9 1.928011

7 -1.0997.1 -3.236587.2 -2.719247.3 0.0367757.4 2.7701687.5 3.2328527.6 1.0409477.7 -2.006527.8 -3.405737.9 -2.00748

8 1.037309

t (detik) x(t) (cm)0 0

0.1 6.6054820.2 6.1491890.3 1.5548410.4 -3.690840.5 -5.878610.6 -3.76020.7 0.7223960.8 4.1058150.9 4.084977

1 1.1181991.1 -2.189271.2 -3.289691.3 -1.656911.4 1.0126331.5 2.3883471.6 1.4739971.7 -0.676841.8 -2.012761.9 -1.32687

2 0.7091622.1 2.1809992.2 1.6543482.3 -0.522342.4 -2.472862.5 -2.403722.6 -0.196592.7 2.3985052.8 3.1793252.9 1.356329

3 -1.706713.1 -3.540983.2 -2.586083.3 0.4853983.4 3.2516543.5 3.4778723.6 0.9405793.7 -2.358523.8 -3.787163.9 -2.20461

4 1.112776

4.1 2.749154.2 1.8044024.3 0.1619754.4 -2.038854.5 -2.703034.6 -0.568234.7 1.4095024.8 2.5424474.9 1.718932

5 -0.989925.1 -2.388295.2 -2.052935.3 -0.155875.4 2.2529375.5 2.4144665.6 0.7584715.7 -1.403145.8 -2.720915.9 -1.48862

6 0.8448676.1 2.3742366.2 2.2011716.3 -0.02766.4 -2.142826.5 -2.396096.6 -0.88126.7 1.5490156.8 2.6377046.9 1.468257

7 -0.743577.1 -2.497.2 -2.138647.3 0.0483747.4 2.0594427.5 2.4877757.6 0.8344847.7 -1.569197.8 -2.569277.9 -1.54073

8 0.778228

8.1 2.5089388.2 2.0826068.3 0.0087918.4 -2.084968.5 -2.505138.6 -0.788728.7 1.5241888.8 2.5878718.9 1.556349

9 -0.815529.1 -2.473599.2 -2.096029.3 -0.022659.4 2.115279.5 2.4774349.6 0.7982579.7 -1.512049.8 -2.612469.9 -1.5346910 0.808855

10.1 2.4630410.2 2.11592610.3 0.00575510.4 -2.1107210.5 -2.4683410.6 -0.8143410.7 1.52518110.8 2.60945710.9 1.526915

11 -0.7958911.1 -2.4732411.2 -2.1140311.3 0.00085511.4 2.10028811.5 2.47623611.6 0.81323211.7 -1.5307711.8 -2.6010811.9 -1.533

12 0.796446

12.1 2.47794212.2 2.10731112.3 0.00382712.4 -2.1004712.5 -2.4801812.6 -0.8078612.7 1.52718212.8 2.60101512.9 1.536291

13 -0.8007413.1 -2.475213.2 -2.107113.3 -0.0065613.4 2.10389513.5 2.47809413.6 0.80755113.7 -1.5249213.8 -2.6037413.9 -1.53472

14 0.80108914.1 2.47333314.2 2.10925614.3 0.00537514.4 -2.1042614.5 -2.4765514.6 -0.8092614.7 1.52580514.8 2.60409414.9 1.53345

15 -0.79973

Untuk kasus beban lantai dengan beban tambahan G = 400 kg

2. Data respon riwayat waktu terhadap simpangan x(t)

t (detik) x(t) (cm)0 0

0.1 4.0997270.2 -0.75540.3 2.3398590.4 -2.630810.5 -3.866950.6 1.5000870.7 -0.285290.8 2.9348630.9 2.714908

1 -2.657781.1 -1.072951.2 -2.301511.3 -1.002881.4 3.5952321.5 1.3965041.6 0.9048091.7 -0.686741.8 -3.79911.9 -0.70317

2 0.7699342.1 1.7712452.2 3.0655562.3 -0.631682.4 -2.116612.5 -1.890782.6 -1.572862.7 2.0119952.8 2.6437022.9 1.046483

3 -0.191173.1 -2.843493.2 -2.164943.3 0.3991383.4 1.6191023.5 2.7565543.6 0.8726523.7 -1.859913.8 -2.218923.9 -1.74416

4 0.734087

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

-8

-6

-4

-2

0

2

4

6

8

Respon Riwayat Waktu dari Simpangan x(t)

t (detik)

x(t)

(cm

)

Gambar 1 Grafik Respon Riwayat Waktu dari Simpangan x(t) untuk kasus tanpa beban

tambahan lantai

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

-5-4-3-2-1012345

Respon Riwayat Waktu dari Simpangan x(t)

waktu (t) (detik)

x(t)

(cm

)

Gambar 2 Grafik Respon Riwayat Waktu dari Simpangan x(t) untuk kasus dengan beban

tambahan lantai G=400kg

4. Kurva riwayat waktu masing-masing energi

Kasus 1

t (detik) Ek Ep Ei Ed0 0 0 0 0

0.5 107.589 4188.603 3480.458 3327.5491 2203.677 96.81697 4213.684 3627.267

1.5 475.202 657.6455 3596.483 3024.2212 2182.377 114.4509 4030.44 3965.47

2.5 433.3133 672.645 3540.411 3842.8863 1973.6 474.5022 4348.816 4353.587

3.5 349.375 1440.67 3120.162 3276.8854 1868.242 227.2021 3392.907 3329.394

4.5 334.6106 1402.323 2899.559 2059.8045 1747.641 141.4707 3380.577 2498.009

5.5 283.9705 1140.022 2729.349 2242.3836 1789.948 197.9898 3244.35 2718.494

6.5 286.4044 1159.347 2511.124 2418.7767 1732.677 224.2155 2903.799 2487.337

7.5 287.0864 1237.165 2469.842 1546.0878 1753.362 203.6942 2900.282 1704.313

8.5 290.7989 1228.252 2091.878 1193.6129 1745.562 196.5211 2339.189 1505.622

9.5 292.8235 1204.418 2066.444 1453.11310 1748.53 202.8767 2431.023 1533.822

10.5 291.2275 1207.96 1950.006 1095.61811 1746.725 204.8822 2293.885 1165.234

11.5 292.4708 1215.16 1778.885 689.122512 1745.071 202.8351 1985.059 900.7834

12.5 291.8404 1213.814 1592.384 832.223113 1745.989 202.2907 1860.233 904.9125

13.5 292.0772 1211.643 1429.793 746.686614 1745.477 202.9381 1778.77 799.151

14.5 292.1248 1212.133 1531.458 487.14115 1745.606 203.0833 1887.343 691.4911

Kasus 2

t (detik) Ek Ep Ei Ed0 0 0 0 0

0.5 114.2259 2331.806 2672.281 2143.9211 1075.78 139.3278 3085.536 2246.521

1.5 86.00279 179.9254 2550.963 1789.8572 1372.595 225.7367 2847.361 2265.984

2.5 175.5972 738.6774 2598.456 2203.7933 1249.65 170.5748 3259.899 2541.292

3.5 165.3537 1060.723 2404.107 1972.0364 1299.175 26.78797 2633.38 2002.664

4.5 108.8558 663.0739 2240.681 1181.1435 1223.15 85.24412 2507.823 1338.531

5.5 117.6761 726.325 1867.511 1104.2426 1231.122 100.8376 2213.451 1321.222

6.5 126.3978 820.852 1800.197 1218.6237 1206.515 70.05764 2093.756 1258.485

7.5 128.2634 757.5056 1797.358 782.35788 1222.81 77.99002 2027.853 833.8832

8.5 124.7206 753.9418 1366.41 496.3849 1217.475 84.19321 1507.839 605.5347

9.5 127.3361 775.8065 1278.566 574.907310 1217.46 78.78708 1471.086 597.3662

10.5 127.2603 767.4603 1203.944 439.977611 1215.502 79.10033 1493.08 484.8715

11.5 126.3182 763.9401 1147.14 267.891412 1214.661 80.70712 1284.872 364.7028

12.5 126.6454 768.1742 991.3131 324.840313 1215.108 79.90605 1127.305 344.355

13.5 126.606 767.4847 896.8093 292.829614 1215.32 79.72926 1302.045 358.8275

14.5 126.7305 766.4038 1160.616 249.676715 1215.388 80.06611 1477.215 411.4292

Kasus 1

0 2 4 6 8 10 12 14 160

500100015002000250030003500400045005000

Kurva Energi vs Riwayat Waktu

Energi Kinetik (Ek) Energi Potensial (Ep) Energi Input (Ei) Energi Redaman (Ed)

waktu (t)

Ener

gi

Kasus 2

0 2 4 6 8 10 12 14 160

500

1000

1500

2000

2500

3000

3500

Kurva Energi vs Riwayat Waktu

Energi Kinetik (Ek) Energi Potensial (Ep) Energi Input (Ei) Energi Redaman (Ed)

waktu (t) (detik)

Ener

gi

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

-8

-6

-4

-2

0

2

4

6

8

Respon Riwayat Waktu dari Simpangan x(t)

waktu (t) (detik)

x(t)

(cm

)