The beam supports a uniform live load of 503 lb/ft. Determine the maximum positive shear that can be developed at point B. Assume the support at A is a pin and C is a roller. The influence lines for VB and MB are shown, along with the peak values of the influence lines.

Determine the deflection at B that would be caused by the distributed load if the middle support was not there. Let w = 8 lb/in., a = 58 in., and EI = 115 × 106 lb·in.2.

Determine the deflection at B that would be caused by the concentrated moment if the middle support was not there. Let M = 19,300 lb·in., a = 58.89 in., b = 43.11 in., and EI = 37 × 106 lb·in.2. Note that b = (a + b).

Assuming that the live loads are transmitted to the bottom chords of the truss, draw the influence line for the force in member CD. What is the line’s minimum value? Let L = 14 ft.

The beam supports a uniform live load of 544 lb/ft. Determine the maximum negative shear that can be developed at point B. Assume the support at A is a pin and C is a roller. The influence lines for VB and MB are shown, along with the peak values of the influence lines.

A truck exerts wheel reactions P1 = 10 kips and P2 = 6 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.

The beam supports a single live load of 2,970 lb, a uniform live load of 550 lb/ft, a uniform dead load of 85 lb/ft. Determine the maximum negative shear that can be developed at point B. Assume the support at A is a pin and C is a roller. The influence lines for VB and MB are shown, along with the peak values of the influence lines.

In the analysis of indeterminate structures, the equilibrium equations must be supplemented by the compatibility conditions based on the geometry of the deformation of the structure.

Draw the influence line for the shear at B. What is the line’s maximum positive value? Let L1 = 3 m and L2 = 11 m.

On this quiz, “maximum” refers to the highest vertical point on the influence graph and “minimum” refers to the lowest vertical point on the graph.Draw the influence line for the vertical reaction at C. What is the line’s minimum value? Let L1 = 4 m and L2 = 11 m.