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Question 3 Use energy methods to determine the vertical displacement and angle of the cantilever beam at end D when loaded wi

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2 ED C. Considler ecton CD FCR) M2 strain energy stored in Segnent C D Eco Mx da 26P F)dz E co 2 ED F d L 3 EL3Connider porluon BC X 2ED FatL) Ma Grein enrgy taadinpon EBe (13 )t Y FL2 4 ED 3 4 E2 1 3 3 4-E 2 n£ 3Tot oin energy in the beem E Bc f Eco F L3 7F L3 E = Vertaca dxplacement at pont a F So 4 FL3 18 FL3 SD 2E2 3 FL3 SDLL 26D ET portion CD For teke a dummy moment Mat end D Mt F( Mx patsng CD in Gnenry J M dx Eco TIT (Mt Fx) x Eco Eco M + Fa 2ECD 2ED MFL strain enengy in Bc X F MK Mt F(1tL) Mt FIL) 4-EP Mt FL)t Fd 4ED Fx 2(Mt FL) FX da (Mt FL) t 4EP (Mt FL)F MtFL) FE6c MFLLE M+ FL) FC 4-ET (Mt FL L E EBc ) PC 4-ED 3 Totel tain nergy E 2 Cme FL)Lt FLFL) ME 3 ITT end 0 Angle at M+ FLL+E e FD 2Mt FL)L t o + t 2ML tO FC 26D put dummy momunt M0 (AFLY& FL) () 3 FL FLY +t. 4E2 262 SFLY

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