Use the finite element method to solve the plane truss shown in problem 29. Assume \(A E=\) \(2 \times 10^{6} \mathrm{~N}, L=1 \mathrm{~m}, \alpha=10 \times 10^{-6} /{ }^{\circ} \mathrm{C}\). The temperature of element 1 is \(100^{\circ} \mathrm{C}\) below the reference temperature, while elements 2 and 3 are at the reference temperature. Determine the nodal displacements, forces in each element, and the support reactions. Show that the nodal equilibrium is satisfied at node 4.

Data From Problem 29:

Use the finite element method to solve the plane truss shown below. Assume \(A E=10^{6} \mathrm{~N}, L\) \(=1 \mathrm{~m}\). Determine the nodal displacements, element forces in each element, and the support reactions.

L L 2 3 1 1 X 2 4) L 3 10,000 N