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Deflections and slopes of beams Deflections and slopes of beams

Deflections and slopes of beams - PDF document

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Deflections and slopes of beams - PPT Presentation

G1of Beams EIv2q4xE2I24x2v6qExI23x2dB8qEL4IuB6qEL3I 00Atxav dB2q4aE3IauB6qEa3I q q x B dB APPENDIX GDeflections and Slopes of Beams 00Atxav dB24q44a3La4uB6qL3a3 ID: 336195

G1of Beams EIv2q4xE2I24x2)v6qExI23x2)dB8qEL4IuB6qEL3I )(0)(0Atxa:v dB2q4aE3Ia)uB6qEa3I q q x B dB APPENDIX GDeflections and Slopes

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G1of Beams TABLE G-1DEFLECTIONS AND SLOPES OF CANTILEVER BEAMS EIv2q4xE2I24x2)v6qExI23x2)dB8qEL4IuB6qEL3I )(0)(0Atxa:v dB2q4aE3Ia)uB6qEa3I q q x B dB APPENDIX GDeflections and Slopes of Beams )(0)(0Atxa:v dB24q44a3La4)uB6q(L3a3)4v6PExI2x)v2PExIx)dBP3ELI3uBP2ELI2 )(0Atxa:v 6vM2E0xI2vME0IxdBM2E0LI2uBME0IL( M0 q APPENDIX GDeflections and Slopes of Beams Atxa:v dBM2E0aIa)uBME0Ia8v12q00Lx2310L2x5x3)v24qL0x36L2x4x3) dB3q00LE4IuB2q40LE3I9v12q00Lx2310L2xx3)v24qL0x36L2xx3) dB1112q00ELI4uBq80ELI310v3qp04L48L3p2Lx48L33p3p3x3vpq30ELI2p2p2x28L2 p2Lx dB32pq04LE4I(p3Bpq03LE3I(p2 q = q0 cosx—2Lq0 0 q0 0 APPENDIX GDeflections and Slopes of Beams TABLE G-2DEFLECTIONS AND SLOPES OF SIMPLE BEAMS constant(positive counterclockwise) dCd358q4LE4IuAuB2q4LE3I2v38q4x32416x3)0xL2v38q437264x3)0xL2v38q4L32417L2xL3)L2xLv38q4L24817L2)L2xL aLx)(0aLx)(0 uA24qLaE2Ia)2uB24qLaE2I2a2)( qa L—2L—2 yxuAuB APPENDIX GDeflections and Slopes of Beams )(0 b,x1L23b2 )(0 x1L1339M03LE2I 8v2M4L0ExI(L24x2)v24ML0(L212x2)0xL2dC0uA2M40ELIuB2M40ELI L—2L—2 0 M0 PPaa L2b2) ab L—2L—2 APPENDIX GDeflections and Slopes of Beams )(0)(0 uA6MI3a22L2)uB6MI2L2)10vM2E0xI(Lx)v2ME0I(L2x) dCdM80ELI2uAuBM2E0LI36q00Lx410L2x23x4)v360qL0430L2x215x4)dC756q80LE4IuA376q00LE3IuB4q50LE3I x10.5193Ld0.00652qE0LI4 12v96q00Lx24x2)20xL2v192qL024x224x2)0xL2dCd1q200LE4IuAuB159q20LE3I13vpq04LE4IpLxvpq03LE3IpLx dCdpq04LE4IuAuBpq03LE3I q0 L—2L—2 q0 ab 0 0M0 q = q0 sinx—L