Chapter 1, Problem 22E

The properties of the two elements of a plane truss are given in the table below. Note that an external force of 10,000 N is acting on the truss at node 2.

a. Write the thermal force vector for each element. Indicate row addresses clearly.

b. Assemble the thermal force vectors to form the global thermal force {F}, which is a $2\times 1$ matrix.

c. The problem was solved using FEA to obtain the displacements as ${\text{u}}_{\text{2}}=–\text{1 mm},{\text{v}}_{\text{2}}=–\text{2mm}$. Determine the element force Pin each element.

d. Show that equilibrium is satisfied at node 2.