2. Consider a fourth-order polynomial approximation 0e (x) = a, + a2x + a3x2 + a4x3 + a5x* applied to an element e covering the domain of x E [0,8]. Assume all nodes are equally spaced: a. Construct the element shape functions. b. Find the approximation for displacement field if de = [0, 2, –1,1,3]. c. Calculate the Be matrix and approximate the strain field using Be and de in b.

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