We can only use Castigliano’s Second Theorem to calculate the deflections of trusses and beams. It does not work for frames.

Where would you apply a unit load to determine the horizontal deflection at point D?

According to the textbook, temperature changes do not cause any stresses in indeterminate structures.

Draw the influence line for the shear at B. What is the line’s maximum value? Let L1 = 4 m and L2 = 9 m.

A truck exerts wheel reactions P1 = 10 kips and P2 = 4 kips on the deck of a bridge. Determine the maximum positive shear at C. Assume the truck only travels in the direction shown. The influence lines for VC and MC are shown, along with the peak values of the influence lines.

Draw the influence line for the moment at B. What is the line’s minimum value? Let L1 = 5 m and L2 = 11 m.

Determine the reaction moment at A. Let w = 7 lb/in., a = 120 in., and EI = 200 × 106 lb·in.2.

The beam is fixed at wall B. Determine the vertical reaction force By at point B. Let L = 30 ft, M = 900 lb·ft, P = 850 lb and w0 = 175 lb/ft.

Draw the influence line for the shear at B. What is the line’s maximum value? Let L1 = 4 m and L2 = 11 m.

The beam is fixed at wall B. Determine the reaction moment MB at point B. Let L = 30 ft, M = 950 lb·ft, P = 700 lb and w0 = 200 lb/ft.