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...Civl chapter structural dynamics learning objectives to discuss the of a single degree freedom spring mass system derive finite element equations for time dependent stress analysis one dimensional bar including derivation lumped and consistent matrices introduce procedures numerical integration in central difference method newmark smethod wilson s describe how determine natural frequencies bars by illustrate solution problem develop beam determination beams truss plane frame strain axisymmetric solid elements report some results problems solved using computer program fixed rigid gantry crane all subjected forcing functions introduction this provides an elementary we will basic concepts include discussion provide necessary dynamic both involved analyses assembly global matrix then present methods handling derivative longhand solutions step process with function section motion as behavior trusses frames consider force f t shown figure below term k is stiffness m free body diagram kx appl...