14. A vertical rod of elastic material is fixed at both ends with constant cross-sectional area Young's

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14. A vertical rod of elastic material is fixed at both ends with constant cross-sectional area Young's modulus E, and height of L under the distributed load /per unit length. The verti deflection u(x) of the rod is governed by the following differential equation:

Using three elements of equal length, solve for u(x) and compare it with the exact solution. I the following numerical values: A = 10~4m2, E = lOGPa, L = 0.3m, / = 106N/m.

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