Finite Element Method Q&A, Assignments of Elementary Mathematics

Q.1. Consider a bar of unit length loaded by a distributed load q = cx2 with q = 0 at the fixed end. In addition, a point load P is applied at the free end, i.e. x = 1. Assume that the point load P, distributed load q, cross-sectional area A, and Young’s modulus E are in non-dimensional units. Given: c=P=A=E=1, and the left end of the bar is held fixed. Assume that all the other relevant physical quantities are of unit magnitude. Consider three different cases – Case 1: one linear line element,