Page 20 - Demo

– 20 – www.zsi-foster.comBeam Load Support FormulasCantilever BeamsPLVMLa bPMVMVV max. = PM max. = PLmax. = PL33EIV max. = Wmax. = WL38EIWL2 M max. = V max. = Pmax. = Pb2(3L-b)6EIM max. = Pb LSimple BeamsMVLPL 2R RMVLR RLR1 R2MVa bPR=V max. = M max. = max. = PL348EIP2P2PL4R=V max. = M max. = max. = 5WL3384EIW2W2WL8R2=V max. = M max. = PbLR1=PaLPaLPabLPab(a+2b) 3a(a+2b)27EIL max. = Beams Fixed At One End & Supported At The OtherLR1 R2a bPVMLR1PL 2VMLVM3L83L4R2=M at point of load = R1aM at fixed end =Pb22L3 R1=Pa2L3(a+2L)(3L2-a2)Pab2L3 (a+L)R1=V max. = M max. = max. at x = 0.447L 5P1611P163PL16max. = 0.009317 PL3EIR1=V max. = M max. = max. at x = 0.4215L 3W85W8WL8max. = WL3185EIR1Beams Fixed At Both EndsVM2LR1 R2a bPVMLPL 2VMLM1R2=M1 = M2 =Pb2L3 R1=Pa2L3(3a+b)(a+3b)Pab2L2Pa2bL2V max. = M max. = max. = PL3192EIP2PL8V max. = M max. = max. = WL3384EIW2WL12R – ReactionM – MomentP – Concentrated LoadW – Total Uniform LoadV – ShearL – Length – DeflectionE – Modulus of ElasticityI – Moment of Inertia