Mekanika Rekayasa 4 ( Metode Matriks )

of 75/75
E = 200000 Mpa A = 11000 cm2 Batang 1 L = 5000 mm EA/L = 440000 sin α = 0.8 cos α = 0.6 Matriks kekakuan 1 0 -1 0 440000 0 -440000 = 440000 0 0 0 0 = 0 0 0 -1 0 1 0 -440000 0 440000 0 0 0 0 0 0 0 Matriks transformasi 0.6 0.8 0 0 0.6 -0.8 0 [T] = -0.8 0.6 0 0 0.8 0.6 0 0 0 0.6 0.8 0 0 0.6 0 0 -0.8 0.6 0 0 0.8 264000 0 -264000 0 = 352000 0 -352000 0 -264000 0 264000 0 -352000 0 352000 0 u1 v1 u2 v2 158400 211200 -158400 -211200 u1 [Kg] = [T] = 211200 281600 -211200 -281600 v1 -158400 -211200 158400 211200 u2 -211200 -281600 211200 281600 v2 Batang 2 L = 500 cm [KI,1] [TT] = [TT].[K1] [TT] [K1] 4 T 800 cm 300 cm 1 3 2
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Sheet1E=200000MpaA=11000cm2luas 16000luas 25000A11000Batang 1L=5000mmEA/L=440000sin =0.8cos =0.6Matriks kekakuan10-104400000-4400000[KI,1]=4400000000=0000-1010-4400000440000000000000Matriks transformasi0.60.8000.6-0.80010001000[T]=-0.80.600[TT] =0.80.600[T]0100[TT] =0100000.60.8000.6-0.80010001000-0.80.6000.80.6000100012640000-2640000[TT].[K1]=3520000-3520000-264000026400004400000-4400000-35200003520000[Kg]0000-44000004400000u1v1u2v20000158400211200-158400-211200u1[Kg]=[TT][K1][T]=211200281600-211200-281600v1-158400-211200158400211200u2-211200-281600211200281600v2Batang 2L=500cmEA/L=4400000sin =0.6cos =0.8Matriks kekakuan10-104400000-4400000[KI,2]=44000000000=0000-1010-4400000440000000000000Matriks transformasi0.6-0.8000.60.800[T]=0.80.600[TT] =-0.80.600000.6-0.8000.60.8000.80.600-0.80.62640000-2640000[TT].[K2]=-35200003520000-264000026400003520000-3520000u2v2u3v3158400-211200-158400211200u2[Kg]=[TT][K2][T]=-211200281600211200-281600v2-158400211200158400-211200u3211200-281600-211200281600v3Batang 3L=800cmEA/L=2750000sin =0cos =1Matriks kekakuan10-1027500000-27500000[KI,3]=27500000000=0000-1010-275000002750000000000000Matriks transformasi10001000[T]=0100[TT] =0100001000100001000127500000-27500000[TT].[K3]=0000-27500000275000000000u1v1u3v327500000-27500000u1[Kg]=[TT][K3][T]=0000v1-2750000027500000u30000v3Overall Stiffnessu1v1u2v2u3v3F12908400211200-158400-211200-27500000u10G1211200281600-211200-28160000v100=-158400-2112003168000-158400211200u2U2-4-211200-2816000563200211200-281600v2V20-27500000-1584002112002908400-211200u3U3G300211200-281600-211200281600v30Rearrangementu2v2u3u1v1v303168000-158400-158400-211200211200U2-40563200211200-211200-281600-281600V20=-1584002112002908400-27500000-211200U3F1-158400-211200-2750000290840021120000G1-211200-281600021120028160000G3211200-281600-211200002816000Unknown Displacement and Reaction03168000-158400U2-4=0563200211200V20-1584002112002908400U3U20.0000032475-0.00000006820.00000018180V2=-0.00000006820.0000018267-0.0000001364-4U30.0000001818-0.00000013640.00000036360U20.0000002727V2=-0.0000073068U30.0000005455F1-158400-211200-27500000.0000002727F10G1=-211200-2816000-0.0000073068G1=2G3211200-281600-2112000.0000005455G32Gaya BatangBatang 1f1g1=[T1][Kg1][U1]f2g2f10.60.800158400211200-158400-2112000g1=-0.80.600211200281600-211200-2816000f2000.60.8-158400-2112001584002112000.0000002727u2g200-0.80.6-211200-281600211200281600-0.0000073068v2264000352000-264000-352000000000-264000-3520002640003520000.00000027270000-0.0000073068f12.5g1=0f2-2.5g20Batang 2f2g2=[T2][Kg2][U2]f3g3f20.6-0.800158400-211200-1584002112000.0000002727g2=0.80.600-211200281600211200-281600-0.0000073068f3000.6-0.8-158400211200158400-2112000.0000005455g3000.80.6211200-281600-2112002816000264000-352000-2640003520000.00000027270000-0.0000073068-264000352000264000-3520000.000000545500000f22.5g2=0f3-2.5g30Batang 3f1g1=[T3][Kg3][U3]f3g3f1100027500000-275000000g1=010000000f30010-27500000275000000.0000005455g300010000027500000-27500000000000-27500000275000000.000000545500000f1-1.5g1=0f31.5g30

Sheet2E=200000MpaA=11000cm2Batang 1L=3000mmEA/L=733333.333333333sin =0cos =1Matriks kekakuan10-10733333.30-733333.30[KI,1]=733333.300000000-1010-733333.30733333.300000000010001000[T]=0100[TT] =01000010001000010001733333.30-733333.30733333.30-733333.30[TT].[K1]0000[Kg]0000-733333.30733333.30-733333.30733333.3000000000Batang 2L=5000EA/L=440000sin =0cos =1matriks kekakuan10-104400000-4400000[KI,2]=4400000000=0000-1010-440000044000000000000010001000[T]=0100[TT] =010000100010000100014400000-44000004400000-4400000[TT].[K2]=0000[Kg]0000-44000004400000-4400000440000000000000Batang 3L=3000EA/L=733333.333333333sin =0cos =1matriks kekakuan10-10733333.3333333330-733333.3333333330[KI,3]=733333.3333333330000=0000-1010-733333.3333333330733333.33333333300000000010001000[T]=0100[TT] =01000010001000010001733333.3333333330-733333.3333333330733333.3333333330-733333.3333333330[TT].[K3]=0000[Kg]0000-733333.3333333330733333.3333333330-733333.3333333330733333.333333333000000000Batang 4L=5000EA/L=440000sin =0.8cos =0.6matriks kekakuan10-104400000-4400000[KI,4]=4400000000=0000-1010-44000004400000000000000.60.8000.6-0.800[T]=-0.80.600[TT] =0.80.600000.60.8000.6-0.800-0.80.6000.80.62640000-2640000158400211200-158400-211200[TT].[K4]=3520000-3520000[Kg]211200281600-211200-281600-26400002640000-158400-211200158400211200-35200003520000-211200-281600211200281600Batang 5L=4000EA/L=550000sin =1cos =0matriks kekakuan10-105500000-5500000[KI,5]=5500000000=0000-1010-550000055000000000000001000-100[T]=-1000[TT] =10000001000-100-10001000000000[TT].[K5]=5500000-5500000[Kg]05500000-55000000000000-550000055000000-5500000550000Batang 6L=5385.16EA/L=408530.108669009sin =0.37cos =0.93matriks kekakuan10-10408530.1086690090-408530.1086690090[KI,6]=408530.1086690090000=0000-1010-408530.1086690090408530.1086690090000000000.930.37000.93-0.3700[T]=-0.370.9300[TT] =0.370.9300000.930.37000.93-0.3700-0.370.93000.370.93379933.0010621780-379933.0010621780353337.690987826140575.210393006-353337.690987826-140575.210393006[TT].[K6]=151156.1402075330-151156.1402075330[Kg]140575.21039300655927.7718767873-140575.210393006-55927.7718767873-379933.0010621780379933.0010621780-353337.690987826-140575.210393006353337.690987826140575.210393006-151156.1402075330151156.1402075330-140575.210393006-55927.7718767873140575.21039300655927.7718767873Batang 7L=5385.16EA/L=408530.108669009sin =0.37cos =0.93matriks kekakuan10-10408530.1086690090-408530.1086690090[KI,7]=408530.1086690090000=0000-1010-408530.1086690090408530.1086690090000000000.93-0.37000.930.3700[T]=0.370.9300[TT] =-0.370.9300000.93-0.37000.930.37000.370.9300-0.370.93379933.0010621780-379933.0010621780353337.690987826-140575.210393006-353337.690987826140575.210393006[TT].[K7]=-151156.1402075330151156.1402075330[Kg]-140575.21039300655927.7718767873140575.210393006-55927.7718767873-379933.0010621780379933.0010621780-353337.690987826140575.210393006353337.690987826-140575.210393006151156.1402075330-151156.1402075330140575.210393006-55927.7718767873-140575.21039300655927.7718767873Batang 8L=4000EA/L=550000sin =1cos =0matriks kekakuan10-105500000-5500000[KI,8]=5500000000=0000-1010-550000055000000000000001000-100[T]=-1000[TT] =10000001000-100-10001000000000[TT].[K8]=5500000-5500000[Kg]05500000-55000000000000-550000055000000-5500000550000

No 2aE=200000MpaA=11000cm22aBatang 1L=3000mmEA/L=733333.333333333sin =0cos =1Matriks kekakuan10-10733333.3333333330-733333.3333333330[KI,1]=733333.3333333330000=0000-1010-733333.3333333330733333.333333333000000000Matriks transformasi10001000[T]=0100[TT] =01000010001000010001733333.3333333330-733333.3333333330[TT].[K1]=0000-733333.3333333330733333.33333333300000u1v1u2v2733333.3333333330-733333.3333333330u1[Kg]=[TT][K1][T]=0000v1-733333.3333333330733333.3333333330u20000v2Batang 2L=3000mmEA/L=733333.333333333sin =0cos =1Matriks kekakuan10-10733333.3333333330-733333.3333333330[KI,2]=733333.3333333330000=0000-1010-733333.3333333330733333.333333333000000000Matriks transformasi10001000[T]=0100[TT] =01000010001000010001733333.3333333330-733333.3333333330[TT].[K2]=0000-733333.3333333330733333.33333333300000u2v2u3v3733333.3333333330-733333.3333333330u2[Kg]=[TT][K2][T]=0000v2-733333.3333333330733333.3333333330u30000v3Batang 3L=3000mmEA/L=733333.333333333sin =0cos =1Matriks kekakuan10-10733333.3333333330-733333.3333333330[KI,3]=733333.3333333330000=0000-1010-733333.3333333330733333.333333333000000000Matriks transformasi10001000[T]=0100[TT] =01000010001000010001733333.3333333330-733333.3333333330[TT].[K3]=0000-733333.3333333330733333.33333333300000u3v3u4v4733333.3333333330-733333.3333333330u3[Kg]=[TT][K3][T]=0000v3-733333.3333333330733333.3333333330u40000v4Batang 4L=5000mmEA/L=440000sin =0.8cos =0.6Matriks kekakuan10-104400000-4400000[KI,4]=4400000000=0000-1010-4400000440000000000000Matriks transformasi0.60.8000.6-0.800[T]=-0.80.600[TT] =0.80.600000.60.8000.6-0.800-0.80.6000.80.62640000-2640000[TT].[K4]=3520000-3520000-26400002640000-35200003520000u1v1u5v5158400211200-158400-211200u1[Kg]=[TT][K4][T]=211200281600-211200-281600v1-158400-211200158400211200u5-211200-281600211200281600v5Batang 5L=4000mmEA/L=550000sin =1cos =0Matriks kekakuan10-105500000-5500000[KI,5]=5500000000=0000-1010-5500000550000000000000Matriks transformasi01000-100[T]=-1000[TT] =10000001000-100-1000100000[TT].[K5]=5500000-55000000000-55000005500000u2v2u5v50000u2[Kg]=[TT][K5][T]=05500000-550000v20000u50-5500000550000v5Batang 6L=2500mmEA/L=880000sin =0.8cos =0.6Matriks kekakuan10-108800000-8800000[KI,6]=8800000000=0000-1010-8800000880000000000000Matriks transformasi0.60.8000.6-0.800[T]=-0.80.600[TT] =0.80.600000.60.8000.6-0.800-0.80.6000.80.65280000-5280000[TT].[K6]=7040000-7040000-52800005280000-70400007040000u2v2u6v6316800422400-316800-422400u2[Kg]=[TT][K6][T]=422400563200-422400-563200v2-316800-422400316800422400u6-422400-563200422400563200v6Batang 7L=2500mmEA/L=880000sin =-0.8cos =0.6Matriks kekakuan10-108800000-8800000[KI,7]=8800000000=0000-1010-8800000880000000000000Matriks transformasi0.6-0.8000.60.800[T]=0.80.600[TT] =-0.80.600000.6-0.8000.60.8000.80.600-0.80.65280000-5280000[TT].[K7]=-70400007040000-528000052800007040000-7040000u6v6u3v3316800-422400-316800422400u6[Kg]=[TT][K7][T]=-422400563200422400-563200v6-316800422400316800-422400u3422400-563200-422400563200v3Batang 8L=4000mmEA/L=550000sin =1cos =0Matriks kekakuan10-105500000-5500000[KI,8]=5500000000=0000-1010-5500000550000000000000Matriks transformasi01000-100[T]=-1000[TT] =10000001000-100-1000100000[TT].[K8]=5500000-55000000000-55000005500000u3v3u7v70000u3[Kg]=[TT][K8][T]=05500000-550000v30000u70-5500000550000v7Batang 9L=5000mmEA/L=440000sin =-0.8cos =0.6Matriks kekakuan10-104400000-4400000[KI,9]=4400000000=0000-1010-4400000440000000000000Matriks transformasi0.6-0.8000.60.800[T]=0.80.600[TT] =-0.80.600000.6-0.8000.60.8000.80.600-0.80.62640000-2640000[TT].[K9]=-35200003520000-264000026400003520000-3520000u7v7u4v4158400-211200-158400211200u7[Kg]=[TT][K9][T]=-211200281600211200-281600v7-158400211200158400-211200u4211200-281600-211200281600v4Batang 10L=2500mmEA/L=880000sin =-0.8cos =0.6Matriks kekakuan10-108800000-8800000[KI,10]=8800000000=0000-1010-8800000880000000000000Matriks transformasi0.6-0.8000.60.800[T]=0.80.600[TT] =-0.80.600000.6-0.8000.60.8000.80.600-0.80.65280000-5280000[TT].[K10]=-70400007040000-528000052800007040000-7040000u5v5u6v6316800-422400-316800422400u5[Kg]=[TT][K10][T]=-422400563200422400-563200v5-316800422400316800-422400u6422400-563200-422400563200v6Batang 11L=2500mmEA/L=880000sin =0.8cos =0.6Matriks kekakuan10-108800000-8800000[KI,11]=8800000000=0000-1010-8800000880000000000000Matriks transformasi0.60.8000.6-0.800[T]=-0.80.600[TT] =0.80.600000.60.8000.6-0.800-0.80.6000.80.65280000-5280000[TT].[K11]=7040000-7040000-52800005280000-70400007040000u6v6u7v7316800422400-316800-422400u6[Kg]=[TT][K11][T]=422400563200-422400-563200v6-316800-422400316800422400u7-422400-563200422400563200v7Batang 12L=3000mmEA/L=733333.333333333sin =0cos =1Matriks kekakuan10-10733333.3333333330-733333.3333333330[KI,12]=733333.3333333330000=0000-1010-733333.3333333330733333.333333333000000000Matriks transformasi10001000[T]=0100[TT] =01000010001000010001733333.3333333330-733333.3333333330[TT].[K12]=0000-733333.3333333330733333.33333333300000u5v5u7v7733333.3333333330-733333.3333333330u5[Kg]=[TT][K12][T]=0000v5-733333.3333333330733333.3333333330u70000v7Overall Stiffnessu1v1u2v2u3v3u4v4u5v5u6v6u7v71F1891733.333333333211200-733333.3333333330-158400-211200u102G121120028160000-211200-281600v1030-733333.33333333301783466.66666667422400-733333.333333333000-316800-422400u2U240004224001113200000-550000-422400-563200v2V250-733333.33333333301783466.66666667-422400-733333.3333333330-31680042240000u3U36000-422400111320000422400-5632000-550000v3V370=-733333.3333333330891733.333333333-211200-158400211200u4U48G400-211200281600211200-281600v409300-158400-211200001208533.33333333-211200-316800422400-733333.3333333330u5U5100-211200-2816000-550000-2112001394800422400-56320000v5V5110-316800-422400-316800422400-31680042240012672000-316800-422400u6U6120-422400-563200422400-563200422400-56320002252800-422400-563200v6V613000-158400211200-733333.3333333330-316800-4224001208533.33333333211200u7U714-7000-550000211200-28160000-422400-5632002112001394800v7V71234567891011121314Rearrangement301783466.66666667422400-733333.3333333330000-316800-42240000-733333.33333333300U24042240011132000000-550000-422400-56320000000V250-733333.33333333301783466.66666667-422400-733333.33333333300-31680042240000000U36000-4224001113200000422400-5632000-550000000V37000-733333.3333333330891733.3333333330000-15840021120000-211200U49300000001208533.33333333-211200-316800422400-733333.3333333330-158400-2112000U5100=0-550000000-2112001394800422400-56320000-211200-2816000V5110-316800-422400-3168004224000-31680042240012672000-316800-422400000U6120-422400-563200422400-5632000422400-56320002252800-422400-563200000V61300000-158400-733333.3333333330-316800-4224001208533.3333333321120000211200U714-700000-55000021120000-422400-563200211200139480000-281600V71F1-733333.3333333330000-158400-2112000000891733.333333333211200002G100000-211200-2816000000211200281600008G40000-2112000000211200-2816000028160003456791011121314128Unknown Displacement and Reaction01783466.66666667422400-733333.3333333330000-316800-42240000U2042240011132000000-550000-422400-56320000V20-733333.33333333301783466.66666667-422400-733333.33333333300-31680042240000U3000-4224001113200000422400-5632000-550000V3000-733333.3333333330891733.3333333330000-158400211200U4300=000001208533.33333333-211200-316800422400-733333.3333333330U500-550000000-2112001394800422400-56320000V50-316800-422400-3168004224000-31680042240012672000-316800-422400U60-422400-563200422400-5632000422400-56320002252800-422400-563200V600000-158400-733333.3333333330-316800-4224001208533.33333333211200U7-700000-55000021120000-422400-5632002112001394800V7U20.0000013636-0.00000068180.0000013636-0.00000034090.00000136360.0000009091-0.00000068180.0000011364-0.00000051140.0000009091-0.00000034090V2-0.00000068180.0000040236-0.00000104170.0000023411-0.0000013826-0.00000054710.0000027778-0.00000013470.00000305420.00000011570.00000230740U30.0000013636-0.00000104170.000002642-0.00000070080.0000026420.0000015909-0.00000119320.0000017756-0.00000120270.0000015057-0.00000085230V3-0.00000034090.0000023411-0.00000070080.0000040236-0.0000013826-0.00000149830.0000023074-0.00000124790.0000030542-0.00000083540.00000277780U40.0000013636-0.00000138260.000002642-0.00000138260.00000400570.0000020455-0.00000153410.0000020028-0.0000017140.0000019602-0.00000153410U5=0.0000009091-0.00000054710.0000015909-0.00000149830.00000204550.0000033726-0.00000095120.0000024102-0.00000127840.0000026908-0.0000010943300V5-0.00000068180.0000027778-0.00000119320.0000023074-0.0000015341-0.00000095120.0000030808-0.00000101850.0000027344-0.00000043980.00000200440U60.0000011364-0.00000013470.0000017756-0.00000124790.00000200280.0000024102-0.00000101850.0000032503-0.0000008570.0000023676-0.00000051560V6-0.00000051140.0000030542-0.00000120270.0000030542-0.000001714-0.00000127840.0000027344-0.0000008570.0000036258-0.00000043560.00000273440U70.00000090910.00000011570.0000015057-0.00000083540.00000196020.0000026908-0.00000043980.0000023676-0.00000043560.0000032874-0.00000058290V7-0.00000034090.0000023074-0.00000085230.0000027778-0.0000015341-0.00000109430.0000020044-0.00000051560.0000027344-0.00000058290.0000030808-700U20.0005113636V2-0.0017793561U30.0010738636V3-0.0023939394U40.0016875U5=0.0017777778V5-0.001688447U60.0010839646V6-0.0022975852U70.0012152778V7-0.0024848485Gaya BatangBatang 1f1g1=[T1][Kg1][U1]f2g2f11000733333.3333333330-733333.33333333300g1=010000000f20010-733333.3333333330733333.33333333300.0005113636g200010000-0.0017793561733333.3333333330-733333.3333333330000000-733333.3333333330733333.33333333300.00051136360000-0.0017793561f1-375g1=0f2375g20Batang 2f21000733333.3333333330-733333.33333333300.0005113636g2=01000000-0.0017793561f30010-733333.3333333330733333.33333333300.0010738636g300010000-0.0023939394733333.3333333330-733333.33333333300.00051136360000-0.0017793561-733333.3333333330733333.33333333300.00107386360000-0.0023939394f2-412.5g2=0f3412.5g30Batang 3f31000733333.3333333330-733333.33333333300.0010738636g3=01000000-0.0023939394f40010-733333.3333333330733333.33333333300.0016875g4000100000.0017777778733333.3333333330-733333.33333333300.00107386360000-0.0023939394-733333.3333333330733333.33333333300.001687500000.0017777778f3-450g3=0f4450g40Batang 4f10.60.800158400211200-158400-2112000g1=-0.80.600211200281600-211200-2816000f5000.60.8-158400-2112001584002112000.0017777778g500-0.80.6-211200-281600211200281600-0.001688447264000352000-264000-352000000000-264000-3520002640003520000.00177777780000-0.001688447f1125g1=0f5-125g50Batang 5f2010000000.0005113636g2=-100005500000-550000-0.0017793561f5000100000.0017777778g500-100-5500000550000-0.00168844705500000-5500000.00051136360000-0.00177935610-55000005500000.00177777780000-0.001688447f2-50g2=0f550g50Batang 6f20.60.800316800422400-316800-4224000.0005113636g2=-0.80.600422400563200-422400-563200-0.0017793561f6000.60.8-316800-4224003168004224000.0010839646g600-0.80.6-422400-563200422400563200-0.0022975852528000704000-528000-7040000.00051136360000-0.0017793561-528000-7040005280007040000.00108396460000-0.0022975852f262.5g2=0f6-62.5g60Batang 7f60.6-0.800316800-422400-3168004224000.0010839646g6=0.80.600-422400563200422400-563200-0.0022975852f3000.6-0.8-316800422400316800-4224000.0010738636g3000.80.6422400-563200-422400563200-0.0023939394528000-704000-5280007040000.00108396460000-0.0022975852-528000704000528000-7040000.00107386360000-0.0023939394f6-62.5g6=0f362.5g30Batang 8f3010000000.0010738636g3=-100005500000-550000-0.0023939394f7000100000.0012152778g700-100-5500000550000-0.002484848505500000-5500000.00107386360000-0.00239393940-55000005500000.00121527780000-0.0024848485f350g3=0f7-50g70Batang 9f70.6-0.800158400-211200-1584002112000.0012152778g7=0.80.600-211200281600211200-281600-0.0024848485f4000.6-0.8-158400211200158400-2112000.0016875g4000.80.6211200-281600-2112002816000264000-352000-2640003520000.00121527780000-0.0024848485-264000352000264000-3520000.001687500000f7750g7=0f4-750g40Batang 10f50.6-0.800316800-422400-3168004224000.0017777778g5=0.80.600-422400563200422400-563200-0.001688447f6000.6-0.8-316800422400316800-4224000.0010839646g6000.80.6422400-563200-422400563200-0.0022975852528000-704000-5280007040000.00177777780000-0.001688447-528000704000528000-7040000.00108396460000-0.0022975852f5-62.5g5=0f662.5g60Batang 11f60.60.800316800422400-316800-4224000.0010839646g6=-0.80.600422400563200-422400-563200-0.0022975852f7000.60.8-316800-4224003168004224000.0012152778g700-0.80.6-422400-563200422400563200-0.0024848485528000704000-528000-7040000.00108396460000-0.0022975852-528000-7040005280007040000.00121527780000-0.0024848485f662.5g6=0f7-62.5g70Batang 12f51000733333.3333333330-733333.33333333300.0017777778g5=01000000-0.001688447f70010-733333.3333333330733333.33333333300.0012152778g700010000-0.0024848485733333.3333333330-733333.33333333300.00177777780000-0.001688447-733333.3333333330733333.33333333300.00121527780000-0.0024848485f5412.5g5=0f7-412.5g70Reaksi Perletakan0.0005113636-0.00177935610.0010738636-0.0023939394F1-733333.3333333330000-158400-21120000000.0016875-300G1=00000-211200-28160000000.0017777778=100G40000-2112000000211200-281600-0.0016884476000.0010839646-0.00229758520.0012152778-0.0024848485Hasil Komparasi Matriks dan SAP2000BatangMatriksSAP20001375583.332412.56253450666.674-125-138.8955055.566-62.5-69.44762.569.448-50-55.569-750-1111.111062.569.4411-62.5-69.4412-412.5-625

No 2cE=200000MpaA=11000cm2Batang 1L=4000mmEA/L=550000sin =0(S)cos =1(C)CCS-(C)-(CS)10-10[Kg,1]=EA/LCSS-(CS)(S)=5500000000-(C)-(CS)CCS-1010-(CS)(S)CSS0000u1v1u2v210005500000-5500000u1[T1]=0100[Kg,1] =0000v10010-55000005500000u200010000v2Batang 2L=4000mmEA/L=550000sin =0(S)cos =1(C)CCS-(C)-(CS)10-10[Kg,2]=EA/LCSS-(CS)(S)=5500000000-(C)-(CS)CCS-1010-(CS)(S)CSS0000u2v2u3v310005500000-5500000u2[T2]=0100[Kg,2] =0000v20010-55000005500000u300010000v3Batang 3L=4000mmEA/L=550000sin =0(S)cos =1(C)CCS-(C)-(CS)10-10[Kg,3]=EA/LCSS-(CS)(S)=5500000000-(C)-(CS)CCS-1010-(CS)(S)CSS0000u3v3u4v410005500000-5500000u3[T3]=0100[Kg,3] =0000v30010-55000005500000u400010000v4Batang 4L=4000mmEA/L=550000sin =0(S)cos =1(C)CCS-(C)-(CS)10-10[Kg,4]=EA/LCSS-(CS)(S)=5500000000-(C)-(CS)CCS-1010-(CS)(S)CSS0000u4v4u5v510005500000-5500000u4[T4]=0100[Kg,4] =0000v40010-55000005500000u500010000v5Batang 5L=5000mmEA/L=440000sin =0.6(S)cos =0.8(C)CCS-(C)-(CS)0.640.48-0.64-0.48[Kg,5]=EA/LCSS-(CS)(S)=4400000.480.36-0.48-0.36-(C)-(CS)CCS-0.64-0.480.640.48-(CS)(S)CSS-0.48-0.360.480.36u1v1u6v60.80.600281600211200-281600-211200u1[T5]=-0.60.800[Kg,5] =211200158400-211200-158400v1000.80.6-281600-211200281600211200u600-0.60.8-211200-158400211200158400v6Batang 6L=3000mmEA/L=733333.333333333sin =1(S)cos =0(C)CCS-(C)-(CS)0000[Kg,6]=EA/LCSS-(CS)(S)=733333.333333333010-1-(C)-(CS)CCS0000-(CS)(S)CSS0-101u2v2u6v601000000u2[T6]=-1000[Kg,6] =0733333.3333333330-733333.333333333v200010000u600-100-733333.3333333330733333.333333333v6Batang 7L=3000mmEA/L=733333.333333333sin =-0.6(S)cos =0.8(C)CCS-(C)-(CS)0.64-0.48-0.640.48[Kg,7]=EA/LCSS-(CS)(S)=733333.333333333-0.480.360.48-0.36-(C)-(CS)CCS-0.640.480.64-0.48-(CS)(S)CSS0.48-0.36-0.480.36u6v6u3v30.8-0.600469333.333333333-352000-469333.333333333352000u6[T7]=0.60.800[Kg,7] =-352000264000352000-264000v6000.8-0.6-469333.333333333352000469333.333333333-352000u3000.60.8352000-264000-352000264000v3Batang 8L=6000mmEA/L=366666.666666667sin =1(S)cos =0(C)CCS-(C)-(CS)0000[Kg,8]=EA/LCSS-(CS)(S)=366666.666666667010-1-(C)-(CS)CCS0000-(CS)(S)CSS0-101u3v3u7v701000000u3[T8]=-1000[Kg,8] =0366666.6666666670-366666.666666667v300010000u700-100-366666.6666666670366666.666666667v7Batang 9L=5000mmEA/L=440000sin =0.6(S)cos =0.8(C)CCS-(C)-(CS)0.640.48-0.64-0.48[Kg,9]=EA/LCSS-(CS)(S)=4400000.480.36-0.48-0.36-(C)-(CS)CCS-0.64-0.480.640.48-(CS)(S)CSS-0.48-0.360.480.36u3v3u8v80.80.600281600211200-281600-211200u3[T9]=-0.60.800[Kg,9] =211200158400-211200-158400v3000.80.6-281600-211200281600211200u800-0.60.8-211200-158400211200158400v8Batang 10L=3000mmEA/L=733333.333333333sin =1(S)cos =0(C)CCS-(C)-(CS)0000[Kg,10]=EA/LCSS-(CS)(S)=733333.333333333010-1-(C)-(CS)CCS0000-(CS)(S)CSS0-101u4v4u8v801000000u4[T10]=-1000[Kg,10] =0733333.3333333330-733333.333333333v400010000u800-100-733333.3333333330733333.333333333v8Batang 11L=5000mmEA/L=440000sin =-0.6(S)cos =0.8(C)CCS-(C)-(CS)0.64-0.48-0.640.48[Kg,11]=EA/LCSS-(CS)(S)=440000-0.480.360.48-0.36-(C)-(CS)CCS-0.640.480.64-0.48-(CS)(S)CSS0.48-0.36-0.480.36u8v8u5v50.8-0.600281600-211200-281600211200u8[T11]=0.60.800[Kg,11] =-211200158400211200-158400v8000.8-0.6-281600211200281600-211200u5000.60.8211200-158400-211200158400v5Batang 12L=5000mmEA/L=440000sin =0.6(S)cos =0.8(C)CCS-(C)-(CS)0.640.48-0.64-0.48[Kg,12]=EA/LCSS-(CS)(S)=4400000.480.36-0.48-0.36-(C)-(CS)CCS-0.64-0.480.640.48-(CS)(S)CSS-0.48-0.360.480.36u6v6u7v70.80.600281600211200-281600-211200u6[T12]=-0.60.800[Kg,12] =211200158400-211200-158400v6000.80.6-281600-211200281600211200u700-0.60.8-211200-158400211200158400v7Batang 13L=5000mmEA/L=440000sin =-0.6(S)cos =0.8(C)CCS-(C)-(CS)0.64-0.48-0.640.48[Kg,13]=EA/LCSS-(CS)(S)=440000-0.480.360.48-0.36-(C)-(CS)CCS-0.640.480.64-0.48-(CS)(S)CSS0.48-0.36-0.480.36u7v7u8v80.8-0.600281600-211200-281600211200u7[T13]=0.60.800[Kg,13] =-211200158400211200-158400v7000.8-0.6-281600211200281600-211200u8000.60.8211200-158400-211200158400v8Overall Stiffnessu1v1u2v2u3v3u4v4u5v5u6v6u7v7u8v81F1831600211200-5500000-281600-211200u102G121120015840000-211200-158400v1030-550000011000000-550000000u2U240000733333.333333333000-733333.333333333v2V250-55000001850933.33333333-140800-5500000-469333.33333333335200000-281600-211200u3U36000-140800789066.66666666700352000-2640000-366666.666666667-211200-158400v3V370-550000011000000-550000000u4U480=000733333.333333333000-733333.333333333v4V490-5500000831600-211200-281600211200u5U510G500-211200158400211200-158400v50110-281600-21120000-469333.3333333333520001032533.3333333370400-281600-211200u6U6120-211200-1584000-733333.333333333352000-264000704001314133.33333333-211200-158400v6V61350000-281600-2112005632000-281600211200u7U71400-366666.666666667-211200-1584000683466.666666667211200-158400v7V7150-281600-21120000-281600211200-281600211200844800-211200u8U816-1000-211200-1584000-733333.333333333211200-158400211200-158400-2112001208533.33333333v8V812345678910111213141516Rearrangement3011000000-5500000000000000-55000000U2400733333.333333333000000-733333.3333333330000000V250-55000001850933.33333333-140800-55000000-469333.33333333335200000-281600-211200000U36000-140800789066.666666667000352000-2640000-366666.666666667-211200-158400000V37000-550000011000000-550000000000000U48000000733333.333333333000000-733333.333333333000V4900000-55000008316000000-28160021120000-211200U5110=00-469333.3333333333520000001032533.3333333370400-281600-21120000-281600-2112000U61200-733333.333333333352000-264000000704001314133.33333333-211200-15840000-211200-1584000V6135000000000-281600-2112005632000-281600211200000U7140000-366666.666666667000-211200-1584000683466.666666667211200-158400000V715000-281600-21120000-28160000-281600211200844800-21120000211200U816-100000-211200-1584000-733333.33333333321120000211200-158400-2112001208533.3333333300-158400V81F1-550000000000-281600-2112000000831600211200002G10000000-211200-15840000002112001584000010G5000000-2112000000211200-15840000158400034567891112131415161210Unknown Displacement and Reaction011000000-5500000000000000U200733333.333333333000000-733333.3333333330000V20-55000001850933.33333333-140800-55000000-469333.33333333335200000-281600-211200U3000-140800789066.666666667000352000-2640000-366666.666666667-211200-158400V3000-550000011000000-550000000000U4000000733333.333333333000000-733333.333333333V40=0000-55000008316000000-281600211200U5000-469333.3333333333520000001032533.3333333370400-281600-21120000U600-733333.333333333352000-264000000704001314133.33333333-211200-15840000V65000000000-281600-2112005632000-281600211200U70000-366666.666666667000-211200-1584000683466.666666667211200-158400V7000-281600-21120000-28160000-281600211200844800-211200U8-100000-211200-1584000-733333.33333333321120000211200-158400-2112001208533.33333333V8U20.0000018182-0.00000181820.0000018182-0.00000121210.0000018182-0.00000060610.00000181820.0000013636-0.00000181820.0000009091-0.00000121210.0000013636-0.00000060610V2-0.00000181820.0000117677-0.00000363640.0000093308-0.00000424240.0000062626-0.0000048485-0.00000425190.000010404-0.00000124050.0000079672-0.00000133520.00000626260U30.0000018182-0.00000363640.0000036364-0.00000242420.0000036364-0.00000121210.00000363640.0000027273-0.00000363640.0000018182-0.00000242420.0000027273-0.00000121210V3-0.00000121210.0000093308-0.00000242420.0000122727-0.00000363640.0000093308-0.0000048485-0.00000463070.0000093308-0.00000242420.0000095455-0.00000021780.00000933080U40.0000018182-0.00000424240.0000036364-0.00000363640.0000054545-0.00000303030.00000545450.0000031818-0.00000424240.0000027273-0.00000363640.0000031818-0.00000303030V4-0.00000060610.0000062626-0.00000121210.0000093308-0.00000303030.000012399-0.0000048485-0.00000351330.0000062626-0.0000036080.0000079672-0.00000012310.00001103540U5=0.0000018182-0.00000484850.0000036364-0.00000484850.0000054545-0.00000484850.00000727270.0000036364-0.00000484850.0000036364-0.00000484850.0000036364-0.00000484850U60.0000013636-0.00000425190.0000027273-0.00000463070.0000031818-0.00000351330.00000363640.0000040767-0.00000425190.000002706-0.0000036080.0000018892-0.00000351330V6-0.00000181820.000010404-0.00000363640.0000093308-0.00000424240.0000062626-0.0000048485-0.00000425190.000010404-0.00000124050.0000079672-0.00000133520.00000626260U70.0000009091-0.00000124050.0000018182-0.00000242420.0000027273-0.0000036080.00000363640.000002706-0.00000124050.0000053693-0.00000242420.000002706-0.000003608500V7-0.00000121210.0000079672-0.00000242420.0000095455-0.00000363640.0000079672-0.0000048485-0.0000036080.0000079672-0.00000242420.0000095455-0.00000124050.00000796720U80.0000013636-0.00000133520.0000027273-0.00000021780.0000031818-0.00000012310.00000363640.0000018892-0.00000133520.000002706-0.00000124050.0000044318-0.00000012310V8-0.00000060610.0000062626-0.00000121210.0000093308-0.00000303030.0000110354-0.0000048485-0.00000351330.0000062626-0.0000036080.0000079672-0.00000012310.0000110354-1000U20.0010606061V2-0.0068828914U30.0021212121V3-0.0105429293U40.0043939394V4=-0.0128393308U50.0066666667U60.0048662405V6-0.0068828914U70.0062926136V7-0.0091792929U80.001476089V8-0.0128393308Gaya BatangBatang 1f1g1=[T1][Kg1][U1]f2g2f110005500000-55000000g1=010000000f20010-550000055000000.0010606061g200010000-0.00688289145500000-5500000000000-550000055000000.00106060610000-0.0068828914f1-583.3333333333g1=0f2583.3333333333g20Batang 2f210005500000-55000000.0010606061g2=01000000-0.0068828914f30010-550000055000000.0021212121g300010000-0.01054292935500000-55000000.00106060610000-0.0068828914-550000055000000.00212121210000-0.0105429293f2-583.3333333333g2=0f3583.3333333333g30Batang 3f310005500000-55000000.0021212121g3=01000000-0.0105429293f40010-550000055000000.0043939394g400010000-0.01283933085500000-55000000.00212121210000-0.0105429293-550000055000000.00439393940000-0.0128393308f3-1250g3=0f41250g40Batang 4f410005500000-55000000.0043939394g4=01000000-0.0128393308f50010-550000055000000.0066666667g50001000005500000-55000000.00439393940000-0.0128393308-550000055000000.006666666700000f4-1250g4=0f51250g50Batang 5f10.80.600281600211200-281600-2112000g1=-0.60.800211200158400-211200-1584000f6000.80.6-281600-2112002816002112000.0048662405g600-0.60.8-211200-158400211200158400-0.0068828914352000264000-352000-2640000-00000-352000-2640003520002640000.004866240500-00-0.0068828914f1104.1666666667g1=0f6-104.1666666667g6-0Batang 6f2010000000.0010606061g2=-10000733333.3333333330-733333.333333333-0.0068828914f6000100000.0048662405g600-100-733333.3333333330733333.333333333-0.00688289140733333.3333333330-733333.3333333330.00106060610000-0.00688289140-733333.3333333330733333.3333333330.00486624050000-0.0068828914f20g2=0f60g60Batang 7f60.8-0.600469333.333333333-352000-469333.3333333333520000.0048662405g6=0.60.800-352000264000352000-264000-0.0068828914f3000.8-0.6-469333.333333333352000469333.333333333-3520000.0021212121g3000.60.8352000-264000-352000264000-0.0105429293586666.666666667-440000-586666.6666666674400000.00486624050.00000000010-0.00000000010-0.0068828914-586666.666666667440000586666.666666667-4400000.0021212121-0.000000000100.00000000010-0.0105429293f6-0g6=0f30g3-0Batang 8f3010000000.0021212121g3=-10000366666.6666666670-366666.666666667-0.0105429293f7000100000.0062926136g700-100-366666.6666666670366666.666666667-0.00917929290366666.6666666670-366666.6666666670.00212121210000-0.01054292930-366666.6666666670366666.6666666670.00629261360000-0.0091792929f3-500g3=0f7500g70Batang 9f30.80.600281600211200-281600-2112000.0021212121g3=-0.60.800211200158400-211200-158400-0.0105429293f8000.80.6-281600-2112002816002112000.001476089g800-0.60.8-211200-158400211200158400-0.0128393308352000264000-352000-2640000.0021212121-0000-0.0105429293-352000-2640003520002640000.00147608900-00-0.0128393308f3833.3333333333g3=-0f8-833.3333333333g80Batang 10f4010000000.0043939394g4=-10000733333.3333333330-733333.333333333-0.0128393308f8000100000.001476089g800-100-733333.3333333330733333.333333333-0.01283933080733333.3333333330-733333.3333333330.00439393940000-0.01283933080-733333.3333333330733333.3333333330.0014760890000-0.0128393308f40g4=0f80g80Batang 11f80.8-0.600281600-211200-2816002112000.001476089g8=0.60.800-211200158400211200-158400-0.0128393308f5000.8-0.6-281600211200281600-2112000.0066666667g5000.60.8211200-158400-2112001584000352000-264000-3520002640000.00147608900-00-0.0128393308-352000264000352000-2640000.0066666667-00000f81562.5g8=-0f5-1562.5g50Batang 12f60.80.600281600211200-281600-2112000.0048662405g6=-0.60.800211200158400-211200-158400-0.0068828914f7000.80.6-281600-2112002816002112000.0062926136g700-0.60.8-211200-158400211200158400-0.0091792929352000264000-352000-2640000.0048662405-0000-0.0068828914-352000-2640003520002640000.006292613600-00-0.0091792929f6104.1666666667g6=0f7-104.1666666667g7-0Batang 13f70.8-0.600281600-211200-2816002112000.0062926136g7=0.60.800-211200158400211200-158400-0.0091792929f8000.8-0.6-281600211200281600-2112000.001476089g8000.60.8211200-158400-211200158400-0.0128393308352000-264000-3520002640000.006292613600-00-0.0091792929-352000264000352000-2640000.001476089-0000-0.0128393308f7729.1666666667g7=0f8-729.1666666667g8-0Reaksi Perletakan0.0010606061-0.00688289140.0021212121-0.01054292930.0043939394F1-550000000000-281600-2112000000-0.0128393308-500G1=0000000-211200-15840000000.0066666667=62.5G5000000-2112000000211200-1584000.0048662405937.5-0.00688289140.0062926136-0.00917929290.001476089-0.0128393308Hasil Komparasi Matriks dan SAP2000BatangMatriksSAP20001583.3333333333583.332583.3333333333583.333125012504125012505-104.1666666667-104.1760070085005009-833.3333333333-833.33100011-1562.5-1562.512-104.1666666667-104.1713-729.1666666667-729.17

2c chaE=250000MpaA=15000cm22cBatang 1L=4000mmEA/L=937500sin =0(S)cos =1(C)CCS-(C)-(CS)10-10[Kg,1]=EA/LCSS-(CS)(S)=9375000000-(C)-(CS)CCS-1010-(CS)(S)CSS0000u1v1u2v210009375000-9375000u1[T1]=0100[Kg,1] =0000v10010-93750009375000u200010000v2Batang 2L=4000mmEA/L=937500sin =0(S)cos =1(C)CCS-(C)-(CS)10-10[Kg,2]=EA/LCSS-(CS)(S)=9375000000-(C)-(CS)CCS-1010-(CS)(S)CSS0000u2v2u3v310009375000-9375000u2[T2]=0100[Kg,2] =0000v20010-93750009375000u300010000v3Batang 3L=4000mmEA/L=937500sin =0(S)cos =1(C)CCS-(C)-(CS)10-10[Kg,3]=EA/LCSS-(CS)(S)=9375000000-(C)-(CS)CCS-1010-(CS)(S)CSS0000u3v3u4v410009375000-9375000u3[T3]=0100[Kg,3] =0000v30010-93750009375000u400010000v4Batang 4L=4000mmEA/L=937500sin =0(S)cos =1(C)CCS-(C)-(CS)10-10[Kg,4]=EA/LCSS-(CS)(S)=9375000000-(C)-(CS)CCS-1010-(CS)(S)CSS0000u4v4u5v510009375000-9375000u4[T4]=0100[Kg,4] =0000v40010-93750009375000u500010000v5Batang 5L=5000mmEA/L=750000sin =0.6(S)cos =0.8(C)CCS-(C)-(CS)0.640.48-0.64-0.48[Kg,5]=EA/LCSS-(CS)(S)=7500000.480.36-0.48-0.36-(C)-(CS)CCS-0.64-0.480.640.48-(CS)(S)CSS-0.48-0.360.480.36u1v1u6v60.80.600480000360000-480000-360000u1[T5]=-0.60.800[Kg,5] =360000270000-360000-270000v1000.80.6-480000-360000480000360000u600-0.60.8-360000-270000360000270000v6Batang 6L=3000mmEA/L=1250000sin =1(S)cos =0(C)CCS-(C)-(CS)0000[Kg,6]=EA/LCSS-(CS)(S)=1250000010-1-(C)-(CS)CCS0000-(CS)(S)CSS0-101u2v2u6v601000000u2[T6]=-1000[Kg,6] =012500000-1250000v200010000u600-100-125000001250000v6Batang 7L=5000mmEA/L=750000sin =-0.6(S)cos =0.8(C)CCS-(C)-(CS)0.64-0.48-0.640.48[Kg,7]=EA/LCSS-(CS)(S)=750000-0.480.360.48-0.36-(C)-(CS)CCS-0.640.480.64-0.48-(CS)(S)CSS0.48-0.36-0.480.36u6v6u3v30.8-0.600480000-360000-480000360000u6[T7]=0.60.800[Kg,7] =-360000270000360000-270000v6000.8-0.6-480000360000480000-360000u3000.60.8360000-270000-360000270000v3Batang 8L=6000mmEA/L=625000sin =1(S)cos =0(C)CCS-(C)-(CS)0000[Kg,8]=EA/LCSS-(CS)(S)=625000010-1-(C)-(CS)CCS0000-(CS)(S)CSS0-101u3v3u7v701000000u3[T8]=-1000[Kg,8] =06250000-625000v300010000u700-100-6250000625000v7Batang 9L=5000mmEA/L=750000sin =0.6(S)cos =0.8(C)CCS-(C)-(CS)0.640.48-0.64-0.48[Kg,9]=EA/LCSS-(CS)(S)=7500000.480.36-0.48-0.36-(C)-(CS)CCS-0.64-0.480.640.48-(CS)(S)CSS-0.48-0.360.480.36u3v3u8v80.80.600480000360000-480000-360000u3[T9]=-0.60.800[Kg,9] =360000270000-360000-270000v3000.80.6-480000-360000480000360000u800-0.60.8-360000-270000360000270000v8Batang 10L=3000mmEA/L=1250000sin =1(S)cos =0(C)CCS-(C)-(CS)0000[Kg,10]=EA/LCSS-(CS)(S)=1250000010-1-(C)-(CS)CCS0000-(CS)(S)CSS0-101u4v4u8v801000000u4[T10]=-1000[Kg,10] =012500000-1250000v400010000u800-100-125000001250000v8Batang 11L=5000mmEA/L=750000sin =-0.6(S)cos =0.8(C)CCS-(C)-(CS)0.64-0.48-0.640.48[Kg,11]=EA/LCSS-(CS)(S)=750000-0.480.360.48-0.36-(C)-(CS)CCS-0.640.480.64-0.48-(CS)(S)CSS0.48-0.36-0.480.36u8v8u5v50.8-0.600480000-360000-480000360000u8[T11]=0.60.800[Kg,11] =-360000270000360000-270000v8000.8-0.6-480000360000480000-360000u5000.60.8360000-270000-360000270000v5Batang 12L=5000mmEA/L=750000sin =0.6(S)cos =0.8(C)CCS-(C)-(CS)0.640.48-0.64-0.48[Kg,12]=EA/LCSS-(CS)(S)=7500000.480.36-0.48-0.36-(C)-(CS)CCS-0.64-0.480.640.48-(CS)(S)CSS-0.48-0.360.480.36u6v6u7v70.80.600480000360000-480000-360000u6[T12]=-0.60.800[Kg,12] =360000270000-360000-270000v6000.80.6-480000-360000480000360000u700-0.60.8-360000-270000360000270000v7Batang 13L=5000mmEA/L=750000sin =-0.6(S)cos =0.8(C)CCS-(C)-(CS)0.64-0.48-0.640.48[Kg,13]=EA/LCSS-(CS)(S)=750000-0.480.360.48-0.36-(C)-(CS)CCS-0.640.480.64-0.48-(CS)(S)CSS0.48-0.36-0.480.36u7v7u8v80.8-0.600480000-360000-480000360000u7[T13]=0.60.800[Kg,13] =-360000270000360000-270000v7000.8-0.6-480000360000480000-360000u8000.60.8360000-270000-360000270000v8Overall Stiffnessu1v1u2v2u3v3u4v4u5v5u6v6u7v7u8v81F11417500360000-9375000-480000-360000u102G136000027000000-360000-270000v1030-937500018750000-937500000u2U2400001250000000-1250000v2V250-937500028350000-9375000-48000036000000-480000-360000u3U360000116500000360000-2700000-625000-360000-270000v3V370-937500018750000-937500000u4U480=0001250000000-1250000v4V490-93750001417500-360000-480000360000u5U510G500-360000270000360000-270000v50110-480000-36000000-4800003600001440000360000-480000-360000u6U6120-360000-2700000-1250000360000-2700003600002060000-360000-270000v6V61340000-480000-3600009600000-480000360000u7U71400-625000-360000-27000001165000360000-270000v7V7150-480000-36000000-480000360000-4800003600001440000-360000u8U816-800-360000-2700000-1250000360000-270000360000-270000-3600002060000v8V812345678910111213141516Rearrangement3018750000-9375000000000000-93750000U24001250000000000-12500000000000V250-937500028350000-93750000-48000036000000-480000-360000000U3600001165000000360000-2700000-625000-360000-270000000V37000-937500018750000-937500000000000U480000001250000000000-1250000000V4900000-937500014175000000-48000036000000-360000U5110=00-4800003600000001440000360000-480000-36000000-480000-3600000U61200-1250000360000-2700000003600002060000-360000-27000000-360000-2700000V6134000000000-480000-3600009600000-480000360000000U7140000-625000000-360000-27000001165000360000-270000000V715000-480000-36000000-48000000-4800003600001440000-36000000360000U816-80000-360000-2700000-125000036000000360000-270000-360000206000000-270000V81F1-937500000000-480000-36000000001417500360000002G10000000-360000-27000000003600002700000010G5000000-3600000000360000-27000000270000034567891112131415161210Unknown Displacement and Reaction018750000-9375000000000000U2001250000000000-12500000000V20-937500028350000-93750000-48000036000000-480000-360000U300001165000000360000-2700000-625000-360000-270000V3000-937500018750000-937500000000U40000001250000000000-1250000V40=0000-937500014175000000-480000360000U5000-4800003600000001440000360000-480000-36000000U600-1250000360000-2700000003600002060000-360000-27000000V64000000000-480000-3600009600000-480000360000U70000-625000000-360000-27000001165000360000-270000V7000-480000-36000000-48000000-4800003600001440000-360000U8-80000-360000-2700000-125000036000000360000-270000-3600002060000V8U20.0000010667-0.00000106670.0000010667-0.00000071110.0000010667-0.00000035560.00000106670.0000008-0.00000106670.0000005333-0.00000071110.0000008-0.00000035560V2-0.00000106670.0000072741-0.00000213330.0000054741-0.00000248890.0000036741-0.0000028444-0.00000277220.0000064741-0.00000072780.0000046741-0.00000078330.00000367410U30.0000010667-0.00000213330.0000021333-0.00000142220.0000021333-0.00000071110.00000213330.0000016-0.00000213330.0000010667-0.00000142220.0000016-0.00000071110V3-0.00000071110.0000054741-0.00000142220.0000072-0.00000213330.0000054741-0.0000028444-0.00000271670.0000054741-0.00000142220.0000056-0.00000012780.00000547410U40.0000010667-0.00000248890.0000021333-0.00000213330.0000032-0.00000177780.00000320.0000018667-0.00000248890.0000016-0.00000213330.0000018667-0.00000177780V4-0.00000035560.0000036741-0.00000071110.0000054741-0.00000177780.0000072741-0.0000028444-0.00000206110.0000036741-0.00000211670.0000046741-0.00000007220.00000647410U5=0.0000010667-0.00000284440.0000021333-0.00000284440.0000032-0.00000284440.00000426670.0000021333-0.00000284440.0000021333-0.00000284440.0000021333-0.00000284440U60.0000008-0.00000277220.0000016-0.00000271670.0000018667-0.00000206110.00000213330.0000026-0.00000277220.0000015875-0.00000211670.0000011083-0.00000206110V6-0.00000106670.0000064741-0.00000213330.0000054741-0.00000248890.0000036741-0.0000028444-0.00000277220.0000064741-0.00000072780.0000046741-0.00000078330.00000367410U70.0000005333-0.00000072780.0000010667-0.00000142220.0000016-0.00000211670.00000213330.0000015875-0.00000072780.00000315-0.00000142220.0000015875-0.0000021167400V7-0.00000071110.0000046741-0.00000142220.0000056-0.00000213330.0000046741-0.0000028444-0.00000211670.0000046741-0.00000142220.0000056-0.00000072780.00000467410U80.0000008-0.00000078330.0000016-0.00000012780.0000018667-0.00000007220.00000213330.0000011083-0.00000078330.0000015875-0.00000072780.0000026-0.00000007220V8-0.00000035560.0000036741-0.00000071110.0000054741-0.00000177780.0000064741-0.0000028444-0.00000206110.0000036741-0.00000211670.0000046741-0.00000007220.0000064741-800U20.0004977778V2-0.0032303704U30.0009955556V3-0.0049481481U40.0020622222V4=-0.0060259259U50.0031288889U60.0022838889V6-0.0032303704U70.0029533333V7-0.0043081481U80.0006927778V8-0.0060259259Gaya BatangBatang 1f1g1=[T1][Kg1][U1]f2g2f110009375000-93750000g1=010000000f20010-937500093750000.0004977778g200010000-0.00323037049375000-9375000000000-937500093750000.00049777780000-0.0032303704f1-466.6666666667g1=0f2466.6666666667g20Batang 2f210009375000-93750000.0004977778g2=01000000-0.0032303704f30010-937500093750000.0009955556g300010000-0.00494814819375000-93750000.00049777780000-0.0032303704-937500093750000.00099555560000-0.0049481481f2-466.6666666667g2=0f3466.6666666667g30Batang 3f310009375000-93750000.0009955556g3=01000000-0.0049481481f40010-937500093750000.0020622222g400010000-0.00602592599375000-93750000.00099555560000-0.0049481481-937500093750000.00206222220000-0.0060259259f3-1000g3=0f41000g40Batang 4f410009375000-93750000.0020622222g4=01000000-0.0060259259f50010-937500093750000.0031288889g50001000009375000-93750000.00206222220000-0.0060259259-937500093750000.003128888900000f4-1000g4=0f51000g50Batang 5f10.80.600480000360000-480000-3600000g1=-0.60.800360000270000-360000-2700000f6000.80.6-480000-3600004800003600000.0022838889g600-0.60.8-360000-270000360000270000-0.0032303704600000450000-600000-4500000-0.000000000100.000000000100-600000-4500006000004500000.00228388890.00000000010-0.00000000010-0.0032303704f183.3333333333g1=0f6-83.3333333333g6-0Batang 6f2010000000.0004977778g2=-1000012500000-1250000-0.0032303704f6000100000.0022838889g600-100-125000001250000-0.0032303704012500000-12500000.00049777780000-0.00323037040-1250000012500000.00228388890000-0.0032303704f20g2=0f6-0g60Batang 7f60.8-0.600480000-360000-4800003600000.0022838889g6=0.60.800-360000270000360000-270000-0.0032303704f3000.8-0.6-480000360000480000-3600000.0009955556g3000.60.8360000-270000-360000270000-0.0049481481600000-450000-6000004500000.00228388890.00000000010-0.00000000010-0.0032303704-600000450000600000-4500000.0009955556-0.000000000100.00000000010-0.0049481481f6-0g6=0f30g3-0Batang 8f3010000000.0009955556g3=-100006250000-625000-0.0049481481f7000100000.0029533333g700-100-6250000625000-0.004308148106250000-6250000.00099555560000-0.00494814810-62500006250000.00295333330000-0.0043081481f3-400g3=0f7400g70Batang 9f30.80.600480000360000-480000-3600000.0009955556g3=-0.60.800360000270000-360000-270000-0.0049481481f8000.80.6-480000-3600004800003600000.0006927778g800-0.60.8-360000-270000360000270000-0.0060259259600000450000-600000-4500000.0009955556-0.000000000100.00000000010-0.0049481481-600000-4500006000004500000.00069277780.00000000010-0.00000000010-0.0060259259f3666.6666666667g3=-0f8-666.6666666667g80Batang 10f4010000000.0020622222g4=-1000012500000-1250000-0.0060259259f8000100000.0006927778g800-100-125000001250000-0.0060259259012500000-12500000.00206222220000-0.00602592590-1250000012500000.00069277780000-0.0060259259f40g4=0f80g80Batang 11f80.8-0.600480000-360000-4800003600000.0006927778g8=0.60.800-360000270000360000-270000-0.0060259259f5000.8-0.6-480000360000480000-3600000.0031288889g5000.60.8360000-270000-3600002700000600000-450000-6000004500000.00069277780.00000000010-0.00000000010-0.0060259259-600000450000600000-4500000.0031288889-0.000000000100.000000000100f81250g8=-0f5-1250g50Batang 12f60.80.600480000360000-480000-3600000.0022838889g6=-0.60.800360000270000-360000-270000-0.0032303704f7000.80.6-480000-3600004800003600000.0029533333g700-0.60.8-360000-270000360000270000-0.0043081481600000450000-600000-4500000.0022838889-0.000000000100.00000000010-0.0032303704-600000-4500006000004500000.00295333330.00000000010-0.00000000010-0.0043081481f683.3333333333g6=0f7-83.3333333333g7-0Batang 13f70.8-0.600480000-360000-4800003600000.0029533333g7=0.60.800-360000270000360000-270000-0.0043081481f8000.8-0.6-480000360000480000-3600000.0006927778g8000.60.8360000-270000-360000270000-0.0060259259600000-450000-6000004500000.00295333330.00000000010-0.00000000010-0.0043081481-600000450000600000-4500000.0006927778-0.000000000100.00000000010-0.0060259259f7583.3333333333g7=0f8-583.3333333333g8-0Reaksi Perletakan0.0004977778-0.00323037040.0009955556-0.00494814810.0020622222F1-937500000000-480000-3600000000-0.0060259259-400G1=0000000-360000-27000000000.0031288889=50G5000000-3600000000360000-2700000.0022838889750-0.00323037040.0029533333-0.00430814810.0006927778-0.0060259259Hasil Komparasi Matriks dan SAP2000BatangMatriksSAP20001466.6666666667583.332466.6666666667583.333100012504100012505-83.3333333333-104.176-0070084005009-666.6666666667-833.33100011-1250-1562.512-83.3333333333-104.1713-583.3333333333-729.17

2a chaE=250000MpaA=15000cm2Batang 1L=3000mmEA/L=1250000sin =0cos =1Matriks kekakuan10-1012500000-12500000[KI,1]=12500000000=0000-1010-125000001250000000000000Matriks transformasi10001000[T]=0100[TT] =0100001000100001000112500000-12500000[TT].[K1]=0000-12500000125000000000u1v1u2v212500000-12500000u1[Kg]=[TT][K1][T]=0000v1-1250000012500000u20000v2Batang 2L=3000mmEA/L=1250000sin =0cos =1Matriks kekakuan10-1012500000-12500000[KI,2]=12500000000=0000-1010-125000001250000000000000Matriks transformasi1000100012500000-12500000[T]=0100[TT] =0100[TT].[K2]=000000100010-1250000012500000000100010000u2v2u3v312500000-12500000u2[Kg]=[TT][K2][T]=0000v2-1250000012500000u30000v3Batang 3L=3000mmEA/L=1250000sin =0cos =1Matriks kekakuan10-1012500000-12500000[KI,3]=12500000000=0000-1010-125000001250000000000000Matriks transformasi10001000[T]=0100[TT] =0100001000100001000112500000-12500000[TT].[K3]=0000-12500000125000000000u3v3u4v412500000-12500000u3[Kg]=[TT][K3][T]=0000v3-1250000012500000u40000v4Batang 4L=5000mmEA/L=750000sin =0.8cos =0.6Matriks kekakuan10-107500000-7500000[KI,4]=7500000000=0000-1010-7500000750000000000000Matriks transformasi0.60.8000.6-0.800[T]=-0.80.600[TT] =0.80.600000.60.8000.6-0.800-0.80.6000.80.64500000-4500000[TT].[K4]=6000000-6000000-45000004500000-60000006000000u1v1u5v5270000360000-270000-360000u1[Kg]=[TT][K4][T]=360000480000-360000-480000v1-270000-360000270000360000u5-360000-480000360000480000v5Batang 5L=4000mmEA/L=937500sin =1cos =0Matriks kekakuan10-109375000-9375000[KI,5]=9375000000=0000-1010-9375000937500000000000Matriks transformasi01000-100[T]=-1000[TT] =10000001000-100-1000100000[TT].[K5]=9375000-93750000000-93750009375000u2v2u5v50000u2[Kg]=[TT][K5][T]=09375000-937500v20000u50-9375000937500v5Batang 6L=2500mmEA/L=1500000sin =0.8cos =0.6Matriks kekakuan10-1015000000-15000000[KI,6]=15000000000=0000-1010-150000001500000000000000Matriks transformasi0.60.8000.6-0.800[T]=-0.80.600[TT] =0.80.600000.60.8000.6-0.800-0.80.6000.80.69000000-9000000[TT].[K6]=12000000-12000000-90000009000000-1200000012000000u2v2u6v6540000720000-540000-720000u2[Kg]=[TT][K6][T]=720000960000-720000-960000v2-540000-720000540000720000u6-720000-960000720000960000v6Batang 7L=2500mmEA/L=1500000sin =-0.8cos =0.6Matriks kekakuan10-1015000000-15000000[KI,7]=15000000000=0000-1010-150000001500000000000000Matriks transformasi0.6-0.8000.60.800[T]=0.80.600[TT] =-0.80.600000.6-0.8000.60.8000.80.600-0.80.69000000-9000000[TT].[K7]=-1200000012000000-9000000900000012000000-12000000u6v6u3v3540000-720000-540000720000u6[Kg]=[TT][K7][T]=-720000960000720000-960000v6-540000720000540000-720000u3720000-960000-720000960000v3Batang 8L=4000mmEA/L=937500sin =1cos =0Matriks kekakuan10-109375000-9375000[KI,8]=9375000000=0000-1010-9375000937500000000000Matriks transformasi01000-100[T]=-1000[TT] =10000001000-100-1000100000[TT].[K8]=9375000-93750000000-93750009375000u3v3u7v70000u3[Kg]=[TT][K8][T]=09375000-937500v30000u70-9375000937500v7Batang 9L=5000mmEA/L=750000sin =-0.8cos =0.6Matriks kekakuan10-107500000-7500000[KI,9]=7500000000=0000-1010-7500000750000000000000Matriks transformasi0.6-0.8000.60.800[T]=0.80.600[TT] =-0.80.600000.6-0.8000.60.8000.80.600-0.80.64500000-4500000[TT].[K9]=-60000006000000-450000045000006000000-6000000u7v7u4v4270000-360000-270000360000u7[Kg]=[TT][K9][T]=-360000480000360000-480000v7-270000360000270000-360000u4360000-480000-360000480000v4Batang 10L=2500mmEA/L=1500000sin =-0.8cos =0.6Matriks kekakuan10-1015000000-15000000[KI,10]=15000000000=0000-1010-150000001500000000000000Matriks transformasi0.6-0.8000.60.800[T]=0.80.600[TT] =-0.80.600000.6-0.8000.60.8000.80.600-0.80.69000000-9000000[TT].[K10]=-1200000012000000-9000000900000012000000-12000000u5v5u6v6540000-720000-540000720000u5[Kg]=[TT][K10][T]=-720000960000720000-960000v5-540000720000540000-720000u6720000-960000-720000960000v6Batang 11L=2500mmEA/L=1500000sin =0.8cos =0.6Matriks kekakuan10-1015000000-15000000[KI,11]=15000000000=0000-1010-150000001500000000000000Matriks transformasi0.60.8000.6-0.800[T]=-0.80.600[TT] =0.80.600000.60.8000.6-0.800-0.80.6000.80.69000000-9000000[TT].[K11]=12000000-12000000-90000009000000-1200000012000000u6v6u7v7540000720000-540000-720000u6[Kg]=[TT][K11][T]=720000960000-720000-960000v6-540000-720000540000720000u7-720000-960000720000960000v7Batang 12L=3000mmEA/L=1250000sin =0cos =1Matriks kekakuan10-1012500000-12500000[KI,12]=12500000000=0000-1010-125000001250000000000000Matriks transformasi10001000[T]=0100[TT] =0100001000100001000112500000-12500000[TT].[K12]=0000-12500000125000000000u5v5u7v712500000-12500000u5[Kg]=[TT][K12][T]=0000v5-1250000012500000u70000v7Overall Stiffnessu1v1u2v2u3v3u4v4u5v5u6v6u7v71F11520000360000-12500000-270000-360000u102G136000048000000-360000-480000v1030-125000003040000720000-1250000000-540000-720000u2U240007200001897500000-937500-720000-960000v2V250-125000003040000-720000-12500000-54000072000000u3U36000-720000189750000720000-9600000-937500v3V370=-125000001520000-360000-270000360000u4U48G400-360000480000360000-480000v409300-270000-360000002060000-360000-540000720000-12500000u5U5100-360000-4800000-937500-3600002377500720000-96000000v5V5110-540000-720000-540000720000-54000072000021600000-540000-720000u6U6120-720000-960000720000-960000720000-96000003840000-720000-960000v6V613000-270000360000-12500000-540000-7200002060000360000u7U714-7000-937500360000-48000000-720000-9600003600002377500v7V71234567891011121314Rearrangement303040000720000-12500000000-540000-72000000-125000000U24072000018975000000-937500-720000-96000000000V250-125000003040000-720000-125000000-54000072000000000U36000-7200001897500000720000-9600000-937500000V37000-1250000015200000000-27000036000000-360000U49300000002060000-360000-540000720000-12500000-270000-3600000U5100=0-937500000-3600002377500720000-96000000-360000-4800000V5110-540000-720000-5400007200000-54000072000021600000-540000-720000000U6120-720000-960000720000-9600000720000-96000003840000-720000-960000000V61300000-270000-12500000-540000-720000206000036000000360000U714-700000-93750036000000-720000-960000360000237750000-480000V71F1-12500000000-270000-36000000001520000360000002G100000-360000-4800000000360000480000008G40000-3600000000360000-4800000048000003456791011121314128Unknown Displacement and Reaction03040000720000-12500000000-540000-72000000U2072000018975000000-937500-720000-96000000V20-125000003040000-720000-125000000-54000072000000U3000-7200001897500000720000-9600000-937500V3000-1250000015200000000-270000360000U4300=000002060000-360000-540000720000-12500000U500-937500000-3600002377500720000-96000000V50-540000-720000-5400007200000-54000072000021600000-540000-720000U60-720000-960000720000-9600000720000-96000003840000-720000-960000V600000-270000-12500000-540000-7200002060000360000U7-700000-93750036000000-720000-9600003600002377500V7U20.0000008-0.00000040.0000008-0.00000020.00000080.0000005333-0.00000040.0000006667-0.00000030.0000005333-0.00000020U20.0003V2-0.00000040.0000023605-0.00000061110.0000013735-0.0000008111-0.0000003210.0000016296-0.0000000790.00000179180.00000006790.00000135370V2-0.0010438889U30.0000008-0.00000061110.00000155-0.00000041110.000001550.0000009333-0.00000070.0000010417-0.00000070560.0000008833-0.00000050U30.00063V3-0.00000020.0000013735-0.00000041110.0000023605-0.0000008111-0.0000008790.0000013537-0.00000073210.0000017918-0.00000049010.00000162960V3-0.0014044444U40.0000008-0.00000081110.00000155-0.00000081110.000002350.0000012-0.00000090.000001175-0.00000100560.00000115-0.00000090>U40.00099U5=0.0000005333-0.0000003210.0000009333-0.0000008790.00000120.0000019786-0.0000005580.000001414-0.000000750.0000015786-0.000000642300U5=0.001042963V5-0.00000040.0000016296-0.00000070.0000013537-0.0000009-0.0000005580.0000018074-0.00000059750.0000016042-0.0000002580.00000117590V5-0.0009905556U60.0000006667-0.0000000790.0000010417-0.00000073210.0000011750.000001414-0.00000059750.0000019068-0.00000050280.000001389-0.00000030250U60.0006359259V6-0.00000030.0000017918-0.00000070560.0000017918-0.0000010056-0.000000750.0000016042-0.00000050280.0000021272-0.00000025560.00000160420V6-0.0013479167U70.00000053330.00000006790.0000008833-0.00000049010.000001150.0000015786-0.0000002580.000001389-0.00000025560.0000019286-0.0000003420U70.000712963V7-0.00000020.0000013537-0.00000050.0000016296-0.0000009-0.0000006420.0000011759-0.00000030250.0000016042-0.0000003420.0000018074-700V7-0.0014577778Gaya BatangBatang 1f1g1=[T1][Kg1][U1]f2g2f1100012500000-125000000g1=010000000f20010-12500000125000000.0003g200010000-0.001043888912500000-12500000000000-12500000125000000.00030000-0.0010438889f1-375g1=0f2375g20Batang 2f2100012500000-125000000.0003g2=01000000-0.0010438889f30010-12500000125000000.00063g300010000-0.001404444412500000-125000000.00030000-0.0010438889-12500000125000000.000630000-0.0014044444f2-412.5g2=0f3412.5g30Batang 3f3100012500000-125000000.00063g3=01000000-0.0014044444f40010-12500000125000000.00099g4000100000.00104296312500000-125000000.000630000-0.0014044444-12500000125000000.0009900000.001042963f3-450g3=0f4450g40Batang 4f10.60.800270000360000-270000-3600000g1=-0.80.600360000480000-360000-4800000f5000.60.8-270000-3600002700003600000.001042963g500-0.80.6-360000-480000360000480000-0.0009905556450000600000-450000-600000000000-450000-6000004500006000000.0010429630000-0.0009905556f1125g1=0f5-125g50Batang 5f2010000000.0003g2=-100009375000-937500-0.0010438889f5000100000.001042963g500-100-9375000937500-0.000990555609375000-9375000.00030000-0.00104388890-93750009375000.0010429630000-0.0009905556f2-50g2=0f550g50Batang 6f20.60.800540000720000-540000-7200000.0003g2=-0.80.600720000960000-720000-960000-0.0010438889f6000.60.8-540000-7200005400007200000.0006359259g600-0.80.6-720000-960000720000960000-0.00134791679000001200000-900000-12000000.0003f262.50000-0.0010438889>g2=0-900000-120000090000012000000.0006359259f6-62.50000-0.0013479167g60Batang 7f60.6-0.800540000-720000-5400007200000.0006359259g6=0.80.600-720000960000720000-960000-0.0013479167f3000.6-0.8-540000720000540000-7200000.00063g3000.80.6720000-960000-720000960000-0.0014044444900000-1200000-90000012000000.00063592590000-0.0013479167-9000001200000900000-12000000.000630000-0.0014044444f6-62.5g6=0f362.5g30Batang 8f3010000000.00063g3=-100009375000-937500-0.0014044444f7000100000.000712963g700-100-9375000937500-0.001457777809375000-9375000.000630000-0.00140444440-93750009375000.0007129630000-0.0014577778f350g3=0f7-50g70Batang 9f70.6-0.800270000-360000-2700003600000.000712963g7=0.80.600-360000480000360000-480000-0.0014577778f4000.6-0.8-270000360000270000-3600000.00099g4000.80.6360000-480000-3600004800000450000-600000-4500006000000.0007129630000-0.0014577778-450000600000450000-6000000.0009900000f7750g7=0f4-750g40Batang 10f50.6-0.800540000-720000-5400007200000.001042963g5=0.80.600-720000960000720000-960000-0.0009905556f6000.6-0.8-540000720000540000-7200000.0006359259g6000.80.6720000-960000-720000960000-0.0013479167900000-1200000-90000012000000.0010429630000-0.0009905556-9000001200000900000-12000000.00063592590000-0.0013479167f5-62.5g5=0f662.5g60Batang 11f60.60.800540000720000-540000-7200000.0006359259g6=-0.80.600720000960000-720000-960000-0.0013479167f7000.60.8-540000-7200005400007200000.000712963g700-0.80.6-720000-960000720000960000-0.00145777789000001200000-900000-12000000.00063592590000-0.0013479167-900000-120000090000012000000.0007129630000-0.0014577778f662.5g6=0f7-62.5g70Batang 12f5100012500000-125000000.001042963g5=01000000-0.0009905556f70010-12500000125000000.000712963g700010000-0.001457777812500000-125000000.0010429630000-0.0009905556-12500000125000000.0007129630000-0.0014577778f5412.5g5=0f7-412.5g70Reaksi Perletakan0.0003-0.00104388890.00063-0.0014044444F1-12500000000-270000-36000000000.00099-300G1=00000-360000-48000000000.001042963=100G40000-3600000000360000-480000-0.00099055566000.0006359259-0.00134791670.000712963-0.0014577778Hasil Komparasi Matriks dan SAP2000BatangMatriksSAP20001375583.332412.56253450666.674-125-138.8955055.566-62.5-69.44762.569.448-50-55.569-750-1111.111062.569.4411-62.5-69.4412-412.5-625

3d chaE =21000Kn/cmA =600cmI =10000cmMatrik kekakuan lokalbatang1L =500cmL=125000000L=250000sin 270=-1cos270=0(K1)=2520000-2520000AE/L100-AE/L100020.1650400-20.165040012EI/L36EI/L20-12EI/L36EI/L20504016800000-504084000006EI/L24EI/L0-6EI/L22EI/L-25200002520000-AE/L100AE/L1000-20.16-5040020.16-50400-12EI/L3-6EI/L2012EI/L3-6EI/L2050408400000-5040168000006EI/L22EI/L0-6EI/L24EI/Lu21v21q21u11v11q110-10000cos asin a0000u21[T(1)]100000-sin acos a0000v21=001000001000q210000-10000cos asin a0u11000100000-sin acos a0v11000001000001q110-10000100000001000[T(1)]T =0000-100001000000010-20.16-5040020.16-5040010000(Kg)=2520000-2520000X-1000000504016800000-5040840000001000020.1650400-20.165040000010-25200002520000000-100050408400000-50401680000000001u1v11u2v22(Kg1)=20.160-5040-20.160-5040u102520000-252000v1-504001680000504008400001-20.160504020.1605040u20-2520000252000v2-504008400005040016800002Matrik kekakuan lokal batang 2L =500cmL=125000000L=250000(K)=2520000-2520000020.1650400-20.1650400504016800000-5040840000-252000025200000-20.16-5040020.16-5040050408400000-50401680000u2v22u3v33(Kg2)=2520000-2520000u2020.1650400-20.165040v20504016800000-50408400002-25200002520000u30-20.16-5040020.16-5040v3050408400000-504016800003Matrik kekakuan lokal batang 3L =300cmL=27000000L=90000sin 270=-1cos 270=0(K3)=4200000-4200000093.3333333333140000-93.33333333331400001400028000000-140001400000-420000042000000-93.3333333333-14000093.3333333333-1400001400014000000-140002800000(T)=0-100001000000010000000-10000100000001[T(1)]T =010000-100000001000000010000-100000001(Kg3)=093.3333333333140000-93.3333333333140000-10000-4200000420000010000001400028000000-140001400000X0010000-93.3333333333-14000093.3333333333-140000000-104200000-420000000010001400014000000-140002800000000001u3v33u4v44(Kg3)=93.3333333333014000-93.3333333333014000u304200000-420000v31400002800000-14000014000003-93.33333333330-1400093.33333333330-14000u40-4200000420000v41400001400000-14000028000004overal stiffnessu1v11u2v22u3v33u4v4420.160-5040-20.160-5040000000u102520000-252000000000v1-504001680000504008400000000001-20.160504025220.1605040-2520000000u20-252000025220.1650400-20.165040000v2-504008400005040504033600000-50408400000002000-252000025293.3333333333014000-93.3333333333014000u30000-20.16-5040042020.16-50400-420000v30000504084000014000-50404480000-14000014000003000000-93.33333333330-1400093.33333333330-14000u40000000-4200000420000v40000001400001400000-14000028000004

MBD00007C62.unknown

MBD00007C66.unknown