The Cantilever Beam Problem Discussed in Class - Engineering Assignment Help

Assignment Task:

Task:

Problem # 1 For the cantilever beam problem discussed in class, determine the displacement field u(x,y) and v(x,y) for the plane strain case. Compare the deflection of the neutral axis for the plane stress case developed in class with that of the plane strain.

Problem # 2 For the cantilever beam problem discussed in class, determine the displacement field u(x,y) and v(x,y) for the plane stress case when the left end is fixed at the lower corner and placed on a vertical roller at the upper left corner such that it is not allowed to displace along the beam’s axis but can only move up and down along the vertical constraint. Compare the deflection of the neutral axis for the plane stress cases developed in class.

Problem # 3 For the problem of a simply supported beam subjected to a uniformly distributed load along the bottom face discussed in class, determine the displacement field u(x,y) and v(x,y) for the plane stress case. Compare the deflection of the neutral axis with the prediction of the simple beam theory.

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