Moment Distrubution
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MEMBER AB BC LENGTH (m) 25.000 20.000 k 0.040 0.050 JOINT A B AB BA DFC 0.000 0.444 FEM -78.125 78.125 28.125 BAL 0.000 -12.500 CO -6.250 0.000 7.813 BAL 0.000 -3.472 CO -1.736 0.000 2.170 BAL 0.000 -0.965 CO -0.482 0.000 0.603 BAL 0.000 -0.268 CO -0.134 0.000 0.167 BAL 0.000 -0.074 CO -0.037 0.000 0.047 BAL 0.000 -0.021 CO -0.010 0.000 0.013 BAL 0.000 -0.006 CO -0.003 0.000 0.004 BAL 0.000 -0.002 CO -0.001 0.000 0.001 BAL 0.000 0.000 CO 0.000 0.000 0.000 BAL 0.000 0.000 CO 0.000 0.000 0.000 BAL 0.000 0.000 CO 0.000 0.000 0.000 BAL 0.000 0.000
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Transcript of Moment Distrubution
3 SPAN BEAMREACTIONS AND INTERNAL MOMENTSINTERNAL SHEARMEMBERABBCCDWHEN THE END JOINT IS FIXED: LET THE DFC BE ZERO (0)AY19.7884615385MAB -86.779MCB 60.817BL17.7115384615CL15LENGTH (m)25.00020.00025.000WHEN THE END JOINT IS PINNED: LET THE DFC BE 1BY32.7115384615MBA 60.817MCD -60.817BR15CR17.7115384615k0.0400.0500.040CY32.7115384616MBC -60.817MDC 86.779DY19.7884615385JOINTABCDABBABCCBCDDCFIXED END MOMENTS ABFIXED END MOMENTS BCDFC0.0000.4440.5560.5560.4440.000LOADLENGTHabLOADLENGTHabCONCENTRATED02500CONCENTRATED02064FEM-78.12578.125-50.00050.000-78.12578.125FEMABFEMBAFEMBCFEMCB28.125-28.1250000BAL0.000-12.500-15.62515.62512.5000.000CO-6.2500.0007.813-7.8130.0006.250RECTANGULAR LOADLOADLENGTHRECTANGULAR LOADLOADLENGTH7.813-7.813FEMABFEMBA1.525FEMBCFEMCB1.520BAL0.000-3.472-4.3404.3403.4720.000-78.12578.125-5050CO-1.7360.0002.170-2.1700.0001.7362.170-2.170TRIANGULAR LOAD (DECREASING)LOADLENGTHTRIANGULAR LOAD (DECREASING)LOADLENGTHBAL0.000-0.965-1.2061.2060.9650.000FEMABFEMBA025FEMBCFEMCB020CO-0.4820.0000.603-0.6030.0000.48200000.603-0.603BAL0.000-0.268-0.3350.3350.2680.000TRIANGULAR LOAD (INCREASING)LOADLENGTHTRIANGULAR LOAD (INCREASING)LOADLENGTHCO-0.1340.0000.167-0.1670.0000.134FEMABFEMBA025FEMBCFEMCB0200.167-0.1670000BAL0.000-0.074-0.0930.0930.0740.000CO-0.0370.0000.047-0.0470.0000.037COUPLEMOMENTLENGTHabCOUPLEMOMENTLENGTHab0.047-0.047FEMABFEMBA025.0007.57.5FEMABFEMBA020.0007.57.5BAL0.000-0.021-0.0260.0260.0210.00000000CO-0.0100.0000.013-0.0130.0000.010FEMAB FEMBA FEMBC FEMCB 0.013-0.013-78.12578.125-5050BAL0.000-0.006-0.0070.0070.0060.000CO-0.0030.0000.004-0.0040.0000.003FIXED END MOMENTS CD0.004-0.004LOADLENGTHabBAL0.000-0.002-0.0020.0020.0020.000CONCENTRATED02544CO-0.0010.0000.001-0.0010.0000.001FEMCDFEMDC0.001-0.00100BAL0.000-0.000-0.0010.0010.0000.000CO-0.0000.0000.000-0.0000.0000.000RECTANGULAR LOADLOADLENGTH0.000-0.000FEMCDFEMDC1.525BAL0.000-0.000-0.0000.0000.0000.000-78.12578.125CO-0.0000.0000.000-0.0000.0000.0000.000-0.000TRIANGULAR LOAD (DECREASING)LOADLENGTHBAL0.000-0.000-0.0000.0000.0000.000FEMCDFEMDC025CO-0.0000.0000.000-0.0000.0000.000000.000-0.000BAL0.000-0.000-0.0000.0000.0000.000TRIANGULAR LOAD (INCREASING)LOADLENGTHCO-0.0000.0000.000-0.0000.0000.000FEMCDFEMDC0250.000-0.00000BAL0.000-0.000-0.0000.0000.0000.000CO-0.0000.0000.000-0.0000.0000.000COUPLEMOMENTLENGTHab0.000-0.000FEMCDFEMDC025105BAL0.000-0.000-0.0000.0000.0000.00000CO-0.0000.0000.000-0.0000.0000.000FEMCD FEMDC 0.000-0.000-78.12578.125BAL0.000-0.000-0.0000.0000.0000.000CO-0.0000.0000.000-0.0000.0000.0000.000-0.000BAL0.000-0.000-0.0000.0000.0000.000CO-0.0000.0000.000-0.0000.0000.0000.000-0.000BAL0.000-0.000-0.0000.0000.0000.000CO-0.0000.0000.000-0.0000.0000.0000.000-0.000BAL0.000-0.000-0.0000.0000.0000.000CO-0.0000.0000.000-0.0000.0000.0000.000-0.000BAL0.000-0.000-0.0000.0000.0000.000CO-0.0000.0000.000-0.0000.0000.0000.000-0.000BAL0.000-0.000-0.0000.0000.0000.000CO-0.0000.0000.000-0.0000.0000.0000.000-0.000
4 SPAN BEAMREACTIONS AND INTERNAL MOMENTSINTERNAL SHEARMEMBERABBCCDDEWHEN THE END JOINT IS PINNED: LET THE DFC BE 1AY0.3794642836DY0.5982142687MAB 0.000MCB 0.018MDE -0.058BL0.6205357164CL0.3794636627DL0.0401785523LENGTH (m)1.0001.0001.0001.000WHEN THE END JOINT IS FIXED: LET THE DFC BE ZERO (0)BY1.2410720537EY0.4419642836MBA 0.121MCD -0.018MED 0.000BR0.6205363373CR-0.0401785523DR0.5580357164k1.0001.0001.0001.000CY0.3392851104MBC -0.121MDC 0.058
JOINTABCDEABBABCCBCDDCDEEDDFC1.0000.5000.5000.5000.5000.5000.5001.000FIXED END MOMENTS ABFIXED END MOMENTS BCLOADLENGTHabLOADLENGTHabFEM-0.0830.083-0.0830.0830.0000.000-0.0830.083CONCENTRATED01.0001010CONCENTRATED01.000640.0000.083-0.083FEMABFEMBAFEMBCFEMCBBAL0.0830.0000.000-0.042-0.0420.0420.042-0.0830000CO0.0000.042-0.0210.0000.021-0.021-0.0420.0210.0210.021-0.063RECTANGULAR LOADLOADLENGTHRECTANGULAR LOADLOADLENGTHBAL0.000-0.010-0.010-0.010-0.0100.0310.031-0.021FEMABFEMBA11.000FEMBCFEMCB11.000CO-0.0050.000-0.005-0.0050.016-0.005-0.0100.016-0.08333333330.0833333333-0.08333333330.0833333333-0.0050.010-0.016BAL0.0050.0030.003-0.005-0.0050.0080.008-0.016TRIANGULAR LOAD (DECREASING)LOADLENGTHTRIANGULAR LOAD (DECREASING)LOADLENGTHCO0.0010.003-0.0030.0010.004-0.003-0.0080.004FEMABFEMBA01.000FEMBCFEMCB01.0000.0000.005-0.0100000BAL-0.0010.0000.000-0.003-0.0030.0050.005-0.004CO0.000-0.001-0.0010.0000.003-0.001-0.0020.003TRIANGULAR LOAD (INCREASING)LOADLENGTHTRIANGULAR LOAD (INCREASING)LOADLENGTH-0.0020.003-0.003FEMABFEMBA01.000FEMBCFEMCB01.000BAL0.0000.0010.001-0.001-0.0010.0020.002-0.0030000CO0.0000.000-0.0010.0000.001-0.001-0.0010.001-0.0010.001-0.002COUPLEMOMENTLENGTHabCOUPLEMOMENTLENGTHabBAL-0.0000.0000.000-0.001-0.0010.0010.001-0.001FEMABFEMBA01.00000FEMABFEMBA01.000105CO0.000-0.000-0.0000.0000.000-0.000-0.0000.0000000-0.0010.001-0.001FEMAB FEMBA FEMBC FEMCB BAL-0.0000.0000.000-0.000-0.0000.0000.000-0.000-0.08333333330.0833333333-0.08333333330.0833333333CO0.000-0.000-0.0000.0000.000-0.000-0.0000.000-0.0000.000-0.000BAL-0.0000.0000.000-0.000-0.0000.0000.000-0.000CO0.000-0.000-0.0000.0000.000-0.000-0.0000.000-0.0000.000-0.000BAL-0.0000.0000.000-0.000-0.0000.0000.000-0.000CO0.000-0.000-0.0000.0000.000-0.000-0.0000.000-0.0000.000-0.000FIXED END MOMENTS CDFIXED END MOMENTS DEBAL-0.0000.0000.000-0.000-0.0000.0000.000-0.000LOADLENGTHabLOADLENGTHabCO0.000-0.000-0.0000.0000.000-0.000-0.0000.000CONCENTRATED01.00044CONCENTRATED01.0001010-0.0000.000-0.000FEMCDFEMDCFEMDEFEMEDBAL-0.0000.0000.000-0.000-0.0000.0000.000-0.0000000CO0.000-0.000-0.0000.0000.000-0.000-0.0000.000-0.0000.000-0.000RECTANGULAR LOADLOADLENGTHRECTANGULAR LOADLOADLENGTHBAL-0.0000.0000.000-0.000-0.0000.0000.000-0.000FEMCDFEMDC01.000FEMDEFEMED11.000CO0.000-0.000-0.0000.0000.000-0.000-0.0000.00000-0.08333333330.0833333333-0.0000.000-0.000BAL-0.0000.0000.000-0.000-0.0000.0000.000-0.000TRIANGULAR LOAD (DECREASING)LOADLENGTHTRIANGULAR LOAD (DECREASING)LOADLENGTHCO0.000-0.000-0.0000.0000.000-0.000-0.0000.000FEMCDFEMDC01.000FEMDEFEMED01.000-0.0000.000-0.0000000BAL-0.0000.0000.000-0.000-0.0000.0000.000-0.000CO0.000-0.000-0.0000.0000.000-0.000-0.0000.000TRIANGULAR LOAD (INCREASING)LOADLENGTHTRIANGULAR LOAD (INCREASING)LOADLENGTH-0.0000.000-0.000FEMCDFEMDC01.000FEMDEFEMED01.000BAL-0.0000.0000.000-0.000-0.0000.0000.000-0.0000000CO0.000-0.000-0.0000.0000.000-0.000-0.0000.000COUPLEMOMENTLENGTHabCOUPLEMOMENTLENGTHabFEMCDFEMDC01.000105FEMDEFEMED01.0001050000FEMCD FEMDC FEMAB FEMBA 00-0.08333333330.0833333333
