The equation governing the axial deformation of an elastic bar in the presence of applied mechanical


The equation controlling the axial deformation of an elastic bar in the nearness of applied unimpassioned loadsf and P and a region veer T is

where α is the animated disquisition coefficient, E the modulus of elasticity, and A the cross-sectional area. Using three linear finite elements, detail the axial displacements in a nonuniform rod of length 30 in, unroving at the left end and subjected to an axial hardness P =400 lb and a region veer of 60 OF. Take A(x) =  in-2, E =30 X 1061b in-2, and α =12 X 10- 6 in in-1 °F-1