A slender rod (bar) of length L, cross-sectional area A, and Young’s modulus E, is fixed at x = 0...1 answer below »

A slender rod (bar) of length L, cross-sectional area A, and Young’s modulus E, is fixed at x = 0 and restrained by a linear spring at x = L; the spring constant is assumed to be k = EA/2L. The bar is subjected to axial force per unit length f(x) = fosin(πx/L). Determine the displacement (primary variable), u(x), and axial force (secondary variable), R(x), at any section x. Plot the non-dimensional displacement field EAu(x)/foL ^{2} , and axial force R(x)/foL, for 0 ≤ x/L ≤ 1. Determine the location of maximum displacement.

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