Sheet1Data properties penampang balokData BebanMutu betonfc'=25M.PaP1=48P2=26.87Dimensi penampangq1=18M1=98Lebar balok 1,b1=0.25mTinggi balok 1,h1=0.3mLuas pnp balok 1,A1=0.075m2Lebar balok 2,b2=0.3mTinggi balok 2,h2=0.6mLuas pnp balok 2,A2=0.18m2Lebar balok 3,b3=0.3mTinggi balok 3,h3=0.4mLuas pnp balok 3,A3=0.12m2Lebar balok 4,b4=0.3mTinggi balok 4,h4=0.4mLuas pnp balok 4,A4=0.12m2Panjang bentangPanjang bentang 1,L1=1.8mJarak beban,a1=0.9mJarak beban,b1=0.9mPanjang bentang 2,L2=4.8mJarak beban,a2=2.4mJarak beban,b2=2.4mPanjang bentang 3,L3=3.8mJarak beban,a3=1.9mJarak beban,b3=1.9mPanjang bentang 4,L4=4.8mJarak beban,a4=2.4mJarak beban,b4=2.4mModulus Elastisitas,Ec=23500000InersiaInersia balok 1,I1=1/12 x b1 x h1^3=0.001Inersia balok2,I2=1/12 x b2 x h2^3=0.005Inersia balok3,I3=1/12 x b3 x h3^3=0.002Inersia balok4,I4=1/12 x b4 x h4^3=0.002Hitung matriks kekakuan batang 1 (SM1)Akibat displacement arah 1 --> D1 (translasi arah sb lokal 1)SM11 =Ec.A1=979166.666666667SM41 =- Ec.A1=-979166.666666667L1L1SM21 =0=0SM51 =0=0SM31 =0=0SM61 =0=0Akibat displacement arah 2 --> D2 (translasi arah sb lokal 2)SM12 =0=0SM42 =0=0SM22 =12.Ec.I1=27199.0740740741SM52 =- 12.Ec.I1=-27199.0740740741L13L13SM32 =6.Ec.I1=24479.1666666667SM62 =6.Ec.I1=24479.1666666667L12L12Akibat displacement arah 3 --> D3 (rotasi arah sb lokal 3)SM13 =0=0SM43 =0=0SM23 =6.Ec.I1=24479.1666666667SM53 =- 6.Ec.I1=-24479.1666666667L12L12SM33 =4.Ec.I1=29375SM63 =2.Ec.I1=14687.5L1L1Akibat displacement arah 4 --> D4 (translasi arah sb lokal 4)SM14 =- Ec.A1=-979166.666666667SM44 =Ec.A1=979166.666666667L1L1SM24 =0=0SM54 =0=0SM34 =0=0SM64 =0=0Akibat displacement arah 5 --> D5 (translasi arah sb lokal 5)SM15 =0=0SM45 =0=0SM25 =-12.Ec.I1=-27199.0740740741SM55 =12.Ec.I1=27199.0740740741L13L13SM35 =- 6.Ec.I1=-24479.1666666667SM65 =- 6.Ec.I1=-24479.1666666667L12L12Akibat displacement arah 6 --> D6 (rotasi arah sb lokal 6)SM16 =0=0SM46 =0=0SM26 =6.Ec.I1=24479.1666666667SM56 =- 6.Ec.I1=-24479.1666666667L12L12SM36 =2.Ec.I1=14687.5SM66 =4.Ec.I1=29375L1L1Susunan matriks kekakuan batang 1 (SM1) :--> catatan matriks kekakuan batang dalam arah sumbu lokalSM11SM12SM13SM14SM15SM16979166.66666666700-979166.66666666700SM1=SM21SM22SM23SM24SM25SM26SM1=027199.074074074124479.16666666670-27199.074074074124479.1666666667SM31SM32SM33SM34SM35SM36024479.1666666667293750-24479.166666666714687.5SM41SM42SM43SM44SM45SM46-979166.66666666700979166.66666666700SM51SM52SM53SM54SM55SM560-27199.0740740741-24479.1666666667027199.0740740741-24479.1666666667SM61SM62SM63SM64SM65SM66024479.166666666714687.50-24479.166666666729375Sudut batang 1 :a1=90degMatriks transformasi rotasi :cos a1sin a10000010000R=- sin a1cos a10000R=-100000001000001000000cos a1sin a10000010000- sin a1cos a10000-100000001000001Transpose matrik Rotasi [R]0.00-10000RT=10.0000000010000000.00-1000010.000000001Matriks kekakuan struktur menjadi :SMS = RT. SM . R0-10000979166.66666666700-979166.66666666700010000100000027199.074074074124479.16666666670-27199.074074074124479.1666666667-100000SMS 1=001000x024479.1666666667293750-24479.166666666714687.5x0010000000-10-979166.66666666700979166.666666667000000100001000-27199.0740740741-24479.1666666667027199.0740740741-24479.1666666667000-100000001024479.166666666714687.50-24479.1666666667293750000010.0000000001-27199.0740740741-24479.1666666667-0.000000000127199.0740740741-24479.166666666701000027199.070.00-24479.17-27199.07-0.00-24479.17979166.66666666700-979166.666666667-00-1000000.00979166.670.00-0.00-979166.670.00SMS 1=024479.1666666667293750-24479.166666666714687.5x001000=-24479.170.0029375.0024479.17-0.0014687.50-0.000000000127199.074074074124479.16666666670.0000000001-27199.074074074124479.1666666667000010-27199.07-0.0024479.1727199.070.0024479.17-979166.666666667-0-0979166.6666666670-0000-100-0.00-979166.67-0.000.00979166.67-0.00024479.166666666714687.50-24479.166666666729375000001-24479.170.0014687.5024479.17-0.0029375.00SM11SM12SM13SM14SM15SM16SM22SM21SM23SM25SM24SM26SM1=SM21SM22SM23SM24SM25SM26SMS1=SM12SM11SM13SM15SM14SM16SM31SM32SM33SM34SM35SM36Setelah tranfromasi menjadiSM32SM31SM33SM35SM34SM36SM41SM42SM43SM44SM45SM46SM52SM51SM53SM55SM54SM56SM51SM52SM53SM54SM55SM56SM42SM41SM43SM45SM44SM46SM61SM62SM63SM64SM65SM66SM62SM61SM63SM65SM64SM66Hitung matriks kekakuan batang 2 (SM2)Akibat displacement arah 1 --> D1 (translasi arah sb lokal 1)SM11 =Ec.A2=881250SM41 =- Ec.A2=-881250L2L2SM21 =0=0SM51 =0=0SM31 =0=0SM61 =0=0Akibat displacement arah 2 --> D2 (translasi arah sb lokal 2)SM12 =0=0SM42 =0=0SM22 =12.Ec.I2=13769.53125SM52 =- 12.Ec.I2=-13769.53125L23L23SM32 =6.Ec.I2=33046.875SM62 =6.Ec.I2=33046.875L22L22Akibat displacement arah 3 --> D3 (rotasi arah sb lokal 3)SM13 =0=0SM43 =0=0SM23 =6.Ec.I2=33046.875SM53 =- 6.Ec.I2=-33046.875L22L22SM33 =4.Ec.I2=105750SM63 =2.Ec.I2=52875L2L2Akibat displacement arah 4 --> D4 (translasi arah sb lokal 4)SM14 =- Ec.A2=-881250SM44 =Ec.A2=881250L2L2SM24 =0=0SM54 =0=0SM34 =0=0SM64 =0=0Akibat displacement arah 5 --> D5 (translasi arah sb lokal 5)SM15 =0=0SM45 =0=0SM25 =-12.Ec.I2=-13769.5SM55 =12.Ec.I2=13769.5L23L23SM35 =- 6.Ec.I2=-33046.9SM65 =- 6.Ec.I2=-33046.9L22L22Akibat displacement arah 6 --> D6 (rotasi arah sb lokal 6)SM16 =0=0SM46 =0=0SM26 =6.Ec.I2=33046.875SM56 =- 6.Ec.I2=-33046.875L22L22SM36 =2.Ec.I2=52875SM66 =4.Ec.I2=105750L2L2Susunan matriks kekakuan batang 2 (SM2) :--> catatan matriks kekakuan batang dalam arah sumbu lokalSM11SM12SM13SM14SM15SM1688125000-88125000SM2=SM21SM22SM23SM24SM25SM26SM2=013769.5312533046.8750-13769.5312533046.875SM31SM32SM33SM34SM35SM36033046.8751057500-33046.87552875SM41SM42SM43SM44SM45SM46-8812500088125000SM51SM52SM53SM54SM55SM560-13769.53125-33046.875013769.53125-33046.875SM61SM62SM63SM64SM65SM66033046.875528750-33046.875105750Sudut batang 2 :a2=90degMatriks transformasi rotasi :cos a1sin a10000010000R=- sin a1cos a10000R=-100000001000001000000cos a1sin a10000010000- sin a1cos a10000-100000001000001Transpose matrik Rotasi [R]0-10000RT=1000000010000000-10000100000001Matriks kekakuan struktur menjadi :SMS = RT. SM . R0-1000088125000-88125000010000100000013769.5312533046.8750-13769.5312533046.875-100000SMS 2=001000x033046.8751057500-33046.87552875x0010000000-10-88125000881250000000100001000-13769.53125-33046.875013769.53125-33046.875000-100000001033046.875528750-33046.8751057500000010.0000000001-13769.53125-33046.875-0.000000000113769.53125-33046.875010000137700-33047-13770-0-3304788125000-881250-00-10000008812500-0-8812500SMS 2=033046.8751057500-33046.87552875x001000=-33047010575033047-052875-0.000000000113769.5312533046.8750.0000000001-13769.5312533046.875000010-13770-03304713770033047-881250-0-08812500-0000-100-0-881250-00881250-0033046.875528750-33046.875105750000001-3304705287533047-0105750Hitung matriks kekakuan batang 3 (SM3)Akibat displacement arah 1 --> D1 (translasi arah sb lokal 1)SM11 =Ec.A3=742105.263157895SM41 =- Ec.A3=-742105.263157895L3L3SM21 =0=0SM51 =0=0SM31 =0=0SM61 =0=0Akibat displacement arah 2 --> D2 (translasi arah sb lokal 2)SM12 =0=0SM42 =0=0SM22 =12.Ec.I3=8222.7729989794SM52 =- 12.Ec.I3=-8222.7729989794L33L33SM32 =6.Ec.I3=15623.2686980609SM62 =6.Ec.I3=15623.2686980609L32L32Akibat displacement arah 3 --> D3 (rotasi arah sb lokal 3)SM13 =0=0SM43 =0=0SM23 =6.Ec.I3=15623.2686980609SM53 =- 6.Ec.I3=-15623.2686980609L32L32SM33 =4.Ec.I3=39578.9473684211SM63 =2.Ec.I3=19789.4736842105L3L3Akibat displacement arah 4 --> D4 (translasi arah sb lokal 4)SM14 =- Ec.A3=-742105.263157895SM44 =Ec.A3=742105.263157895L3L3SM24 =0=0SM54 =0=0SM34 =0=0SM64 =0=0Akibat displacement arah 5 --> D5 (translasi arah sb lokal 5)SM15 =0=0SM45 =0=0SM25 =-12.Ec.I3=-8222.7729989794SM55 =12.Ec.I3=8222.7729989794L33L33SM35 =- 6.Ec.I3=-15623.2686980609SM65 =- 6.Ec.I3=-15623.2686980609L32L32Akibat displacement arah 6 --> D6 (rotasi arah sb lokal 6)SM16 =0=0SM46 =0=0SM26 =6.Ec.I3=15623.2686980609SM56 =- 6.Ec.I3=-15623.2686980609L32L32SM36 =2.Ec.I3=19789.4736842105SM66 =4.Ec.I3=39578.9473684211L3L3Susunan matriks kekakuan batang 3 (SM3) :--> catatan matriks kekakuan batang dalam arah sumbu lokalSM11SM12SM13SM14SM15SM16742105.26315789500-742105.26315789500SM3=SM21SM22SM23SM24SM25SM26SM3=08222.772998979415623.26869806090-8222.772998979415623.2686980609SM31SM32SM33SM34SM35SM36015623.268698060939578.94736842110-15623.268698060919789.4736842105SM41SM42SM43SM44SM45SM46-742105.26315789500742105.26315789500SM51SM52SM53SM54SM55SM560-8222.7729989794-15623.268698060908222.7729989794-15623.2686980609SM61SM62SM63SM64SM65SM66015623.268698060919789.47368421050-15623.268698060939578.9473684211Sudut batang 3 :a3=0degMatriks transformasi rotasi :cos a1sin a10000100000R=- sin a1cos a10000R=010000001000001000000cos a1sin a10000100000- sin a1cos a10000010000001000001Transpose matrik Rotasi [R]100000RT=010000001000000100000010000001Matriks kekakuan struktur menjadi :SMS = RT. SM . R100000742105.26315789500-742105.2631578950010000001000008222.772998979415623.26869806090-8222.772998979415623.2686980609010000SMS 3=001000x015623.268698060939578.94736842110-15623.268698060919789.4736842105x001000000100-742105.26315789500742105.263157895000001000000100-8222.7729989794-15623.268698060908222.7729989794-15623.2686980609000010000001015623.268698060919789.47368421050-15623.268698060939578.9473684211000001742105.26315789500-742105.26315789500100000742105.26315789500-742105.2631578950008222.772998979415623.26869806090-8222.772998979415623.268698060901000008222.772998979415623.26869806090-8222.772998979415623.2686980609SMS 3=015623.268698060939578.94736842110-15623.268698060919789.4736842105x001000=015623.268698060939578.94736842110-15623.268698060919789.4736842105-742105.26315789500742105.26315789500000100-742105.26315789500742105.263157895000-8222.7729989794-15623.268698060908222.7729989794-15623.26869806090000100-8222.7729989794-15623.268698060908222.7729989794-15623.2686980609015623.268698060919789.47368421050-15623.268698060939578.9473684211000001015623.268698060919789.47368421050-15623.268698060939578.9473684211Hitung matriks kekakuan batang 4 (SM4)Akibat displacement arah 1 --> D1 (translasi arah sb lokal 1)SM11 =Ec.A4=587500SM41 =- Ec.A4=-587500L4L4SM21 =0=0SM51 =0=0SM31 =0=0SM61 =0=0Akibat displacement arah 2 --> D2 (translasi arah sb lokal 2)SM12 =0=0SM42 =0=0SM22 =12.Ec.I4=4079.8611111111SM52 =- 12.Ec.I4=-4079.8611111111L43L43SM32 =6.Ec.I4=9791.6666666667SM62 =6.Ec.I4=9791.6666666667L42L42Akibat displacement arah 3 --> D3 (rotasi arah sb lokal 3)SM13 =0=0SM43 =0=0SM23 =6.Ec.I4=9791.6666666667SM53 =- 6.Ec.I4=-9791.6666666667L42L42SM33 =4.Ec.I4=31333.3333333333SM63 =2.Ec.I4=15666.6666666667L4L4Akibat displacement arah 4 --> D4 (translasi arah sb lokal 4)SM14 =- Ec.A4=-587500SM44 =Ec.A4=587500L4L4SM24 =0=0SM54 =0=0SM34 =0=0SM64 =0=0Akibat displacement arah 5 --> D5 (translasi arah sb lokal 5)SM15 =0=0SM45 =0=0SM25 =-12.Ec.I4=-4079.8611111111SM55 =12.Ec.I4=4079.8611111111L43L43SM35 =- 6.Ec.I4=-9791.6666666667SM65 =- 6.Ec.I4=-9791.6666666667L42L42Akibat displacement arah 6 --> D6 (rotasi arah sb lokal 6)SM16 =0=0SM46 =0=0SM26 =6.Ec.I4=9791.6666666667SM56 =- 6.Ec.I4=-9791.6666666667L42L42SM36 =2.Ec.I4=15666.6666666667SM66 =4.Ec.I4=31333.3333333333L4L4Susunan matriks kekakuan batang 4 (SM4) :--> catatan matriks kekakuan batang dalam arah sumbu lokalSM11SM12SM13SM14SM15SM1658750000-58750000SM4=SM21SM22SM23SM24SM25SM26SM4=04079.86111111119791.66666666670-4079.86111111119791.6666666667SM31SM32SM33SM34SM35SM3609791.666666666731333.33333333330-9791.666666666715666.6666666667SM41SM42SM43SM44SM45SM46-5875000058750000SM51SM52SM53SM54SM55SM560-4079.8611111111-9791.666666666704079.8611111111-9791.6666666667SM61SM62SM63SM64SM65SM6609791.666666666715666.66666666670-9791.666666666731333.3333333333Sudut batang 4 :a4=0degMatriks transformasi rotasi :cos a1sin a10000100000R=- sin a1cos a10000R=010000001000001000000cos a1sin a10000100000- sin a1cos a10000010000001000001Transpose matrik Rotasi [R]100000RT=010000001000000100000010000001Matriks kekakuan struktur menjadi :SMS = RT. SM . R10000058750000-5875000010000001000004079.86111111119791.66666666670-4079.86111111119791.6666666667010000SMS 4=001000x09791.666666666731333.33333333330-9791.666666666715666.6666666667x001000000100-58750000587500000001000000100-4079.8611111111-9791.666666666704079.8611111111-9791.666666666700001000000109791.666666666715666.66666666670-9791.666666666731333.333333333300000158750000-5875000010000058750000-5875000004079.86111111119791.66666666670-4079.86111111119791.666666666701000004079.86111111119791.66666666670-4079.86111111119791.6666666667SMS 4=09791.666666666731333.33333333330-9791.666666666715666.6666666667x001000=09791.666666666731333.33333333330-9791.666666666715666.6666666667-5875000058750000000100-58750000587500000-4079.8611111111-9791.666666666704079.8611111111-9791.66666666670000100-4079.8611111111-9791.666666666704079.8611111111-9791.666666666709791.666666666715666.66666666670-9791.666666666731333.333333333300000109791.666666666715666.66666666670-9791.666666666731333.3333333333Susun MATRIKS KEKAKUAN STRUKTURD1D10D11D12123131415271990-24479-27199-0-24479109791670-0-97916702SMS 1=-2447902937524479-0146883D1-27199-0244792719902447913D10-0-979167-00979167-014D11-2447901468824479-02937515D12D2D3D7D8D9D1D2D3D4D5D6D7D8D9D10D11D12456101112137700-33047-13770-0-330474D2D1293750000000024479-01468808812500-0-88125005D2013770-33047000-13770-0-33047000SMS 2=-33047010575033047-0528756D3D30-3304710575000033047-052875000-13770-0330471377003304710D7D400074210500-74210500000-0-881250-00881250-011D8D500008223-156230-8223-15623000-3304705287533047-010575012D9D60000-156233957901562319789000D70-1377033047-742105001343375033047-58750000D80-0-00-822315623089355358320-4080-9792D7D8D9D4D5D6D90-33047528750-15623197893304758321766620979215667101112789D102447900000-58750000614699024479742105.26315789500-742105.2631578950010D7D11-0000000-408097920983247979208222.772998979415623.26869806090-8222.772998979415623.268698060911D8D1214688000000-97921566724479979260708SMS 3=015623.268698060939578.94736842110-15623.268698060919789.473684210512D9-742105.26315789500742105.263157895007D40-8222.7729989794-15623.268698060908222.7729989794-15623.26869806098D5015623.268698060919789.47368421050-15623.268698060939578.94736842119D6D10D11D12D7D8D913141510111258750000-5875000013D1004079.86111111119791.66666666670-4079.86111111119791.666666666714D11SMS 4=09791.666666666731333.33333333330-9791.666666666715666.666666666715D12-587500005875000010D70-4079.8611111111-9791.666666666704079.8611111111-9791.666666666711D809791.666666666715666.66666666670-9791.666666666731333.333333333312D9293750000000024479-014688013770-33047000-13770-0-330470000-3304710575000033047-05287500000074210500-7421050000000008223-156230-8223-15623000SMS=0000-1562339579015623197890000-1377033047-742105001343375033047-587500000-0-00-822315623089355358320-4080-97920-33047528750-156231978933047583217666209792156672447900000-58750000614699024479-0000000-408097920983247979214688000000-979215667244799792607080.0002-0.0003-0.0000-0.0002-0.0001-0.0000-0.00020.0000-0.0000-0.0002-0.00000.0000-0.00030.00190.00030.00050.00090.00020.00050.00000.00020.0005-0.0000-0.0002-0.00000.00030.00010.00000.00020.00000.00000.00000.00000.0000-0.0000-0.0000-0.00020.00050.00000.00030.00010.00000.0003-0.00000.00000.00030.0000-0.0001-0.00010.00090.00020.00010.00110.00040.00010.00000.00020.0001-0.0000-0.0001SMS-1=-0.00000.00020.00000.00000.00040.00010.00000.00000.00000.0000-0.0000-0.0000-0.00020.00050.00000.00030.00010.00000.0003-0.00000.00000.00030.0000-0.00010.00000.00000.0000-0.00000.00000.0000-0.00000.00000.0000-0.0000-0.00000.0000-0.00000.00020.00000.00000.00020.00000.00000.00000.00000.0000-0.0000-0.0000-0.00020.00050.00000.00030.00010.00000.0003-0.00000.00000.00030.0000-0.0001-0.0000-0.0000-0.00000.0000-0.0000-0.00000.0000-0.0000-0.00000.00000.0000-0.00000.0000-0.0002-0.0000-0.0001-0.0001-0.0000-0.00010.0000-0.0000-0.0001-0.00000.0000Hitung rekasi di ujung batang / freebody (AML) ---> Beban dimasukkan kecuali beban di jointBatang 1AML 101AML 202GbrAM 1=AML 3=03AML 404AML 505AML 606SB LOKALBatang 2AML 101AML 213.4352AM 2=AML 3==16.1223GbrAML 404AML 513.4355AML 6-16.1226SB LOKALBatang 3AML 101AML 202GbrAM 3=AML 3=03AML 404AML 505AML 606SB LOKALBatang 4AML 101AML 243.22GbrAM 4=AML 3==34.563AML 404AML 543.25AML 6-34.566SB LOKALTransformasi dari sumbu lokal ke sumbu global strukturBatang 10102AM 1=03040506SB LOKAL0.00-1.000.000.000.000.00AMS 1 = RT . AML 10.00-1.000.000.000.000.0001.000.000.000.000.000.001.000.000.000.000.000.000RT=0.000.001.000.000.000.000.000.001.000.000.000.00x00.000.000.000.00-1.000.00AMS 1=0.000.000.000.00-1.000.0000.000.000.001.000.000.000.000.000.001.000.000.0000.000.000.000.000.001.000.000.000.000.000.001.0000102AMS 1=03D1013D10014D11015D12SB GLOBALBatang 20113.4352AM 2=16.12230413.4355-16.1226SB LOKAL0.00-1.000.000.000.000.00AMS 2 = RT . AML 20.00-1.000.000.000.000.0001.000.000.000.000.000.001.000.000.000.000.000.0013.435RT=0.000.001.000.000.000.000.000.001.000.000.000.00x16.1220.000.000.000.00-1.000.00AMS 2=0.000.000.000.00-1.000.0000.000.000.001.000.000.000.000.000.001.000.000.0013.4350.000.000.000.000.001.000.000.000.000.000.001.00-16.122-13.4354D205AMS 2=16.1226D3-13.43510D7011D8-16.12212D9SB GLOBALBatang 30102AM 3=03040506SB LOKAL1.000.000.000.000.000.00AMS 3 = RT . AML 31.000.000.000.000.000.0000.001.000.000.000.000.000.001.000.000.000.000.000RT=0.000.001.000.000.000.000.000.001.000.000.000.00x00.000.000.001.000.000.00AMS 3=0.000.000.001.000.000.0000.000.000.000.001.000.000.000.000.000.001.000.0000.000.000.000.000.001.000.000.000.000.000.001.000010D7011D8AMS 3=012D907D408D509D6SB GLOBALBatang 40143.22AM 4=34.5630443.25-34.566SB LOKAL1.000.000.000.000.000.00AMS 4 = RT . AML 41.000.000.000.000.000.0000.001.000.000.000.000.000.001.000.000.000.000.0043.2RT=0.000.001.000.000.000.000.000.001.000.000.000.00x34.560.000.000.001.000.000.00AMS 4=0.000.000.001.000.000.0000.000.000.000.001.000.000.000.000.000.001.000.0043.20.000.000.000.000.001.000.000.000.000.000.001.00-34.56013D743.214D8AMS 4=34.5615D9010D443.211D5-34.5612D6SB GLOBALBEBAN EKIVALEN GABUNGAN (AE)BTG 1BTG 2BTG 3BTG 41000000120000002D130000003D1D240-13.43500-13.43513.4354D2500000-0.005D36016.1220016.122-16.1226D3- AE=D470+0+0+0=0AE=07D4D580000008D5D690000009D6D7100-13.43500-13.43513.43510D7D81100043.243.2-43.211D8D9120-16.1220-34.56-50.68250.68212D9D101300000013D10D111400043.243.2-43.214D11D121500034.5634.56-34.5615D12SB GLOBALSB GLOBALBeban pada joint langsung (Aj)101202D1303D1D2404D2505D3606D3Aj =D47=07D4D5808D5D69-989D6D710010D7D811011D8D912012D9D101333.94112549713D10D1114-33.94112549714D11D1215015D12SB GLOBALBEBAN JOINT GABUNGAN (Ac)Ac = Aj + AEBeban joint yang selaras DOF (AFC)1000103D12000213.4354D230003D1-16.1226D34013.43513.4354D207D450-0-0508D560-16.122-16.1226D3AFC =-989D6Ac =70+0=07D413.43510D780008D5-43.211D89-980-989D650.68212D910013.43513.43510D733.94112549713D10110-43.2-43.211D8-77.14112549714D1112050.68250.68212D9-34.5615D121333.941125497033.94112549713D1014-33.941125497-43.2-77.14112549714D11150-34.56-34.5615D12DEFORMASI STRUKTURDF = SFF-1.AFCSFF-1 = SMS -10.0002-0.0003-0.0000-0.0002-0.0001-0.0000-0.00020.0000-0.0000-0.0002-0.00000.00000-0.0143D1-0.00030.00190.00030.00050.00090.00020.00050.00000.00020.0005-0.0000-0.000213.4350.0374D2-0.00000.00030.00010.00000.00020.00000.00000.00000.00000.0000-0.0000-0.0000-16.1220.0046D3-0.00020.00050.00000.00030.00010.00000.0003-0.00000.00000.00030.0000-0.000100.0207D4-0.00010.00090.00020.00010.00110.00040.00010.00000.00020.0001-0.0000-0.00010-0.0078D5DF=-0.00000.00020.00000.00000.00040.00010.00000.00000.00000.0000-0.0000-0.0000x-98=-0.0079D6-0.00020.00050.00000.00030.00010.00000.0003-0.00000.00000.00030.0000-0.000113.4350.02010D70.00000.00000.0000-0.00000.00000.0000-0.00000.00000.0000-0.0000-0.00000.0000-43.2-0.00011D8-0.00000.00020.00000.00000.00020.00000.00000.00000.00000.0000-0.0000-0.000050.6820.00312D9-0.00020.00050.00000.00030.00010.00000.0003-0.00000.00000.00030.0000-0.000133.9411254970.02013D10-0.0000-0.0000-0.00000.0000-0.0000-0.00000.0000-0.0000-0.00000.00000.0000-0.0000-77.141125497-0.00014D110.0000-0.0002-0.0000-0.0001-0.0001-0.0000-0.00010.0000-0.0000-0.0001-0.00000.0000-34.56-0.00615D12GAYA-GAYA DALAM UJUNG ELEMENBatang 1Deformasi struktur dalam arah SUMBU GLOBAL di batang 1, sbb :0102DMS 1=-0.0143D10.02013D10-0.00014D11-0.00615D12Deformasi struktur dalam arah SUMBU LOKAL di batang 1, sbb :DM 1 = R . DMS 1010000001-100000002DM 1=001000x-0.0136105859=-0.0143D10000100.020027496-0.0004D11000-100-0.0000483628-0.0205D10000001-0.0061579884-0.0066D12Gaya ujung batangAM 1 = AML 1 + SM 1 . DM 10979166.66666666700-979166.666666667000047.35547.35510027199.074074074124479.16666666670-27199.074074074124479.16666666670060.81160.8112AM 1=0+024479.1666666667293750-24479.166666666714687.5x-0.014=0+0.000=0.0003D10-979166.66666666700979166.66666666700-0.0000-47.355-47.3554D1100-27199.0740740741-24479.1666666667027199.0740740741-24479.1666666667-0.0200-60.811-60.8115D100024479.166666666714687.50-24479.166666666729375-0.0060109.460109.4606D12Batang 2Deformasi struktur dalam arah SUMBU GLOBAL di batang 2, sbb :0.0374D205DMS 2=0.0046D30.02010D7-0.00011D80.00312D9Deformasi struktur dalam arah SUMBU LOKAL di batang 2, sbb :DM 2 = R . DMS 20100000.037400524401-1000000-0.0372D2DM 2=001000x0.0037114885=0.0043D30000100.0200732322-0.0004D8000-100-0.0000828208-0.0205D70000010.00310167290.0036D9Gaya ujung batangAM 2 = AML 2 + SM 2 . DM 2088125000-881250000072.98672.986113.435013769.5312533046.8750-13769.5312533046.875-0.03713.435-13.4350.0002D2AM 2=16.122+033046.8751057500-33046.87552875x0.004=16.122+-16.122=0.0003D30-8812500088125000-0.0000-72.986-72.9864D813.4350-13769.53125-33046.875013769.53125-33046.875-0.02013.43513.43526.8705D7-16.122033046.875528750-33046.8751057500.003-16.122-48.366-64.4886D9Batang 3Deformasi struktur dalam arah SUMBU GLOBAL di batang 3, sbb :0.02010D7-0.00011D8DMS 3=0.00312D90.0207D4-0.0078D5-0.0079D6Deformasi struktur dalam arah SUMBU LOKAL di batang 3, sbb :DM 3 = R . DMS 31000000.0200.0201D7010000-0.000-0.0002D8DM 3=001000x0.003=0.0033D90001000.0200.0204D4000010-0.007-0.0075D5000001-0.007-0.0076D6Gaya ujung batangAM 3 = AML 3 + SM 3 . DM 30742105.26315789500-742105.263157895000.02000.0000.0001D7008222.772998979415623.26869806090-8222.772998979415623.2686980609-0.0000-0.000-0.0002D8AM 3=0+015623.268698060939578.94736842110-15623.268698060919789.4736842105x0.003=0+98.000=98.0003D90-742105.26315789500742105.263157895000.02000.0000.0004D400-8222.7729989794-15623.268698060908222.7729989794-15623.2686980609-0.00700.0000.0005D50015623.268698060919789.47368421050-15623.268698060939578.9473684211-0.0070-98.000-98.0006D6Batang 4Deformasi struktur dalam arah SUMBU GLOBAL di batang 4, sbb :0.02013D10-0.00014D11DMS 4=-0.00615D120.02010D7-0.00011D80.00312D9Deformasi struktur dalam arah SUMBU LOKAL di batang 4, sbb :DM 4 = R . DMS 41000000.0200.0201D10010000-0.000-0.0002D11DM 4=001000x-0.006=-0.0063D120001000.0200.0204D7000010-0.000-0.0005D80000010.0030.0036D9Gaya ujung batangAM 4 = AML 4 + SM 4 . DM 4058750000-587500000.0200-26.870-26.8701D1043.204079.86111111119791.66666666670-4079.86111111119791.6666666667-0.00043.2-29.78613.4142D11AM 4=34.56+09791.666666666731333.33333333330-9791.666666666715666.6666666667x-0.006=34.56+-144.020=-109.4603D120-58750000587500000.020026.87026.8704D743.20-4079.8611111111-9791.666666666704079.8611111111-9791.6666666667-0.00043.229.78672.9865D8-34.5609791.666666666715666.66666666670-9791.666666666731333.33333333330.003-34.561.048-33.5126D9

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Sheet3