Problem 4.24: The equation governing the axial deformation of an elastic bar in the presen...

Problem 4.24: The equation governing the axial deformation of an elastic bar in the presence of applied mechanical loads and P and a temperature change T is

where is the thermal expansion coefficient, E the modulus of elasticity, and A the cross-sectional area. Using three linear finite elements, determine the axial displacements in a nonuniform rod of length 30 in., fixed at the left end and subjected to an axial force P = 400 lb and a temperature change of