Answer Happy

Problem 7 Consider the axially loaded bar built in at both ends as shown below, with stiffness E, length L, and cross-section A, subjected to a distributed axial load per unit length given by x) = P₁² (1-1) f(x)= Po where po is constant. (a) Form the governing differential equation and determine the exact expression for the distribution of axial displacement u. (b) Write down the expression of the total potential energy for this structural system. (c) Suggest the simplest possible polynomial basis trial function for the axial displacement using the Rayleigh-Ritz method, and solve for this. (d) Compute the approximate and exact maximum axial displacements, and comment on your solution. f(x) →→→→→→→ L