question archive 1) Given an elastic bar of length 1=2 m with constant cross-section area A=0

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1) Given an elastic bar of length 1=2 m with constant cross-section area A=0.05 m and a piecewise constant Young's modulus shown in the figure below. The bar is fixed at x=2m and a prescribed traction t=200 Pa is applied at x=0 m along positive x-direction. Obtain the displacement field using

a. Analytical solution.

b. One linear element.

c. Two linear elements with equal length.

d. One quadratic element with equally spaced nodes. E.=20 GPa E,=1 GPa X=0 x=1/2 X=1