Analisa struktur 3

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Analisa struktur

Transcript of Analisa struktur 3

Sheet1Data Soal4.70 cm20.00047BatangA (m)E (t/m)L (m)AE/L1,2,3,4,5,60.00047210000002.539487,9,10,120.00047210000002.91547594743385.38207071318,110.00047210000001.5658014,180.00047210000003.5282013,19,20,210.00047210000003.20156211873082.870059681115,170.00047210000006.04152298681633.6940241011160.00047210000005.51794.545sudutsin 0.514495755430.96375951cos 0.8574929257

sin 0.910366565.55604834cos 0.4138029443sin 0.8574928946'24.44395166cos 0.5144958073 59.03624049sin '0.6246950476'38.659809123.2015621187cos '0.7808688094

Sheet2Menyusun matriks kekakuan globalAE/L0 -AE/L0 =0000 -AE/L0AE/L00000

Cos Sin 00Cos -Sin 00 = -Sin Cos 00 =Sin Cos 0000Cos Sin 00Cos -Sin 00 -Sin Cos 00Sin Cos

a. Matriks Kekakuan Batang 1 (node 1 - 3) =0

39480-39480 =0000-39480394800000

1000100039480-39480 =0100 =0100000000100010-3948039480000100010000u1v1u3v339480-39480u1 =0000v1-3948039480u30000v3

b. Matriks Kekakuan Batang 2 (node 3 - 4) =0

39480-39480 =0000-39480394800000

1000100039480-39480 =0100 =0100000000100010-3948039480000100010000u3v3u4v439480-39480u3 =0000v3-3948039480u40000v4

c. Matriks Kekakuan Batang 3 (node 4 - 5) =0

39480-39480 =0000-39480394800000

1000100039480-39480 =0100 =0100000000100010-3948039480000100010000u4v4u5v539480-39480u4 =0000v4-3948039480u50000v5d. Matriks Kekakuan Batang 4 (node 5 - 6) =0

39480-39480 =0000-39480394800000

1000100039480-39480 =0100 =0100000000100010-3948039480000100010000u5v5u6v639480-39480u5 =0000v5-3948039480u60000v6e. Matriks Kekakuan Batang 5 (node 6 - 7) =0

39480-39480 =0000-39480394800000

1000100039480-39480 =0100 =0100000000100010-3948039480000100010000u6v6u7v739480-39480u6 =0000v6-3948039480u70000v7f. Matriks Kekakuan Batang 6 (node 7 - 2) =0

39480-39480 =0000-39480394800000

1000100039480-39480 =0100 =0100000000100010-3948039480000100010000u7v7u2v239480-39480u7 =0000v7-3948039480u20000v2f. Matriks Kekakuan Batang 7 (node 1 - 8) =30.964

3385.3820-3385.3820 =0000-3385.38203385.38200000

0.85750.5145000.8575-0.5145002902.94117647060-2902.94117647060 =-0.51450.857500 =0.51450.8575001741.76470588240-1741.76470588240000.85750.5145000.8575-0.5145-2902.941176470602902.9411764706000-0.51450.8575000.51450.8575-1741.764705882401741.76470588240u1v1u8v82489.2521493.551-2489.252-1493.551u1 =1493.551896.131-1493.551-896.131v1-2489.252-1493.5512489.2521493.551u8-1493.551-896.1311493.551896.131v8f. Matriks Kekakuan Batang 8 (node 3 - 8) =90

65800-65800 =0000-65800658000000

01000-1000000 =-1000 =100065800-658000001000-1000000-100010-6580065800u3v3u8v80000u3 =065800-6580v30000u80-658006580v8f. Matriks Kekakuan Batang 9 (node 4 - 8) =149.03624

3385.3820-3385.3820 =0000-3385.38203385.38200000

-0.85750.514500-0.8575-0.514500-2902.941089423802902.94108942380 =-0.5145-0.857500 =0.5145-0.8575001741.7648906310-1741.764890631000-0.85750.514500-0.8575-0.51452902.94108942380-2902.9410894238000-0.5145-0.8575000.5145-0.8575-1741.76489063101741.7648906310u4v4u8v82489.251-1493.551-2489.2511493.551u4 =-1493.551896.1311493.551-896.131v4-2489.2511493.5512489.251-1493.551u81493.551-896.131-1493.551896.131v8f. Matriks Kekakuan Batang 10 (node 6 - 9) =30.96376

3385.3820-3385.3820 =0000-3385.38203385.38200000

0.85750.5145000.8575-0.5145002902.94117647060-2902.94117647060 =-0.51450.857500 =0.51450.8575001741.76470588240-1741.76470588240000.85750.5145000.8575-0.5145-2902.941176470602902.9411764706000-0.51450.8575000.51450.8575-1741.764705882401741.76470588240u6v6u9v92489.2521493.551-2489.252-1493.551u6 =1493.551896.131-1493.551-896.131v6-2489.252-1493.5512489.2521493.551u9-1493.551-896.1311493.551896.131v9f. Matriks Kekakuan Batang 11 (node 7 - 9) =90

65800-65800 =0000-65800658000000

01000.0000-1.0000000000 =-1000 =1.00000.00000065800-658000001000.0000-1.0000000000-10001.00000.0000-6580065800u7v7u9v90000u7 =065800-6580v70000u90-658006580v9f. Matriks Kekakuan Batang 12 (node 2 - 9) =149.03624

3385.3820-3385.3820 =0000-3385.38203385.38200000

-0.85750.514500-0.8575-0.514500-2902.941089423802902.94108942380 =-0.5145-0.857500 =0.5145-0.8575001741.7648906310-1741.764890631000-0.85750.514500-0.8575-0.51452902.94108942380-2902.9410894238000-0.5145-0.8575000.5145-0.8575-1741.76489063101741.7648906310u2v2u9v92489.251-1493.551-2489.2511493.551u2 =-1493.551896.1311493.551-896.131v2-2489.2511493.5512489.251-1493.551u91493.551-896.131-1493.551896.131v9f. Matriks Kekakuan Batang 13 (node 8 - 10) =38.65981

3082.8700-3082.8700 =0000-3082.87003082.87000000

0.78090.6247000.7809-0.6247002407.31707317070-2407.31707317070 =-0.62470.780900 =0.62470.7809001925.85365853660-1925.85365853660000.78090.6247000.7809-0.6247-2407.317073170702407.3170731707000-0.62470.7809000.62470.7809-1925.853658536601925.85365853660u8v8u10v101879.7991503.839-1879.799-1503.839u8 =1503.8391203.071-1503.839-1203.071v8-1879.799-1503.8391879.7991503.839u10-1503.839-1203.0711503.8391203.071v10f. Matriks Kekakuan Batang 14 (node 4 - 10) =90

28200-28200 =0000-28200282000000

01000-1000000 =-1000 =100028200-282000001000-1000000-100010-2820028200u4v4u10v100000u4 =028200-2820v40000u100-282002820v10f. Matriks Kekakuan Batang 15 (node 4 - 12) =65.5560

1633.6940-1633.6940 =0000-1633.69401633.69400000

0.41380.9104000.4138-0.910400676.02739726030-676.02739726030 =-0.91040.413800 =0.91040.4138001487.26027397260-1487.26027397260000.41380.9104000.4138-0.9104-676.02739726030676.0273972603000-0.91040.4138000.91040.4138-1487.260273972601487.26027397260u4v4u12v12279.742615.433-279.742-615.433u4 =615.4331353.952-615.433-1353.952v4-279.742-615.433279.742615.433u12-615.433-1353.952615.4331353.952v12f. Matriks Kekakuan Batang 16 (node 5 - 12) =90

1794.5450-1794.5450 =0000-1794.54501794.54500000

01000-1000000 =-1000 =10001794.54545454540-1794.545454545400001000-1000000-100010-1794.545454545401794.54545454540u5v5u12v120000u5 =01794.5450-1794.545v50000u120-1794.54501794.545v12

f. Matriks Kekakuan Batang 17 (node 6 - 12) =114.44395

1633.6940-1633.6940 =0000-1633.69401633.69400000

-0.41380.910400-0.4138-0.910400-676.02732488570676.02732488570 =-0.9104-0.413800 =0.9104-0.4138001487.26031079180-1487.2603107918000-0.41380.910400-0.4138-0.9104676.02732488570-676.0273248857000-0.9104-0.4138000.9104-0.4138-1487.260310791801487.26031079180u6v6u12v12279.742-615.433-279.742615.433u6 =-615.4331353.952615.433-1353.952v6-279.742615.433279.742-615.433u12615.433-1353.952-615.4331353.952v12f. Matriks Kekakuan Batang 18 (node 6 - 11) =90

28200-28200 =0000-28200282000000

01000-1000000 =-1000 =100028200-282000001000-1000000-100010-2820028200u6v6u11v110000u6 =028200-2820v60000u110-282002820v11f. Matriks Kekakuan Batang 19 (node 9 - 11) =141.34019

3082.8700-3082.8700 =0000-3082.87003082.87000000

-0.78090.624700-0.7809-0.624700-2407.31457776302407.3145777630 =-0.6247-0.780900 =0.6247-0.7809001925.85351193250-1925.8535119325000-0.78090.624700-0.7809-0.62472407.3145777630-2407.314577763000-0.6247-0.7809000.6247-0.7809-1925.853511932501925.85351193250u9v9u11v111879.795-1503.837-1879.7951503.837u9 =-1503.8371203.0711503.837-1203.071v9-1879.7951503.8371879.795-1503.837u111503.837-1203.071-1503.8371203.071v11f. Matriks Kekakuan Batang 20 (node 10 - 12) =38.65981

3082.8700-3082.8700 =0000-3082.87003082.87000000

0.78090.6247000.7809-0.6247002407.31707317070-2407.31707317070 =-0.62470.780900 =0.62470.7809001925.85365853660-1925.85365853660000.78090.6247000.7809-0.6247-2407.317073170702407.3170731707000-0.62470.7809000.62470.7809-1925.853658536601925.85365853660u10v10u12v121879.7991503.839-1879.799-1503.839u10 =1503.8391203.071-1503.839-1203.071v10-1879.799-1503.8391879.7991503.839u12-1503.839-1203.0711503.8391203.071v12f. Matriks Kekakuan Batang 21 (node 11 - 12) =141.34019

3082.8700-3082.8700 =0000-3082.87003082.87000000

-0.780870.6247000-0.7809-0.624700-2407.31457776302407.3145777630 =-0.62470-0.7808700 =0.6247-0.7809001925.85351193250-1925.8535119325000-0.780870.6247000-0.7809-0.62472407.3145777630-2407.314577763000-0.62470-0.78087000.6247-0.7809-1925.853511932501925.85351193250u11v11u12v121879.795-1503.837-1879.7951503.837u11 =-1503.8371203.0711503.837-1203.071v11-1879.7951503.8371879.795-1503.837u121503.837-1203.071-1503.8371203.071v12

Sheet3Matriks Kekakuan Strukturu1v1u2v2u3v3u4v4u5v5u6v6u7v7u8v8u9v9u10v10u11v11u12v12F16437.2521493.55100-3948000000000-2489.2515225832-1493.550913549900000000U1G11493.551896.131000000000000-1493.5509135499-896.130548129900000000V1F2006437-149400000000-3948000-2489.25137329921493.5510271854000000U2G200-14948960000000000001493.5510271854-896.1307382348000000V2F3-394800078960-394800000000000000000U3G3000006580000000000-658000000000V3F40000-3948010664.99-878.12-394800000-2489.25137329921493.5510271854000000-279.7421274146-615.432680312U4G4000000-878.125070.080000001493.5510271854-896.1307382348000-282000-615.432680312-1353.9518966865V4F5000000-3948078960-39480000000000000U5G500000000017950000000000000-1795V5F600000000-3948010664.99878.12-3948000-2489.2515225832-1493.55091354990000-280615U6G60000000000878.125070.080000-1493.5509135499-896.1305481299000-2820615-1354V6F7 =00-39480000000-39480789600000000000XU7G700000000000006580000-6580000000V7F8-2489.252-1493.5510000-2489.25137329921493.55102718540000006858.301503.8400-1879.7988168787-1503.8390535030000U8G8-1493.551-896.131000-65801493.5510271854-896.13073823480000001503.849575.3300-1503.839053503-1203.07124280240000V8F900-2489.25137329921493.5510271854000000-2489.2515225832-1493.550913549900006858-150400-1879.79491970871503.837380155700U9G9001493.5510271854-896.1307382348000282000-1493.5509135499-896.13054812990-658000-15049575001503.8373801557-1203.071059636700V9F1000000000000000-1879.7988168787-1503.839053503003759.603007.6800-1879.7988168787-1503.839