Use the finite element method to determine the nodal displacements in the plane truss shown in figure (a). The temperature of element 2 is \(200^{\circ} \mathrm{C}\) above the reference temperature, that is, \(\Delta T^{(2)}=200^{\circ} \mathrm{C}\). Compute the force in each element. Show that the force equilibrium is satisfied at node 3. Assume \(L=1 \mathrm{~m}, A E=10^{7} \mathrm{~N}, \alpha=5 \times 10^{-6} /{ }^{\circ} \mathrm{C}\).

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(a) (2) L, AT (3) ZL L1 2 + 3 (b) AT 1 5 2 4 3 (c) AT 10,000 N 2 5 + 3