The beam supports a single live load of 1,540 lb, a uniform live load of 400 lb/ft, a uniform dead load of 180 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 vertical reaction force at A. Let w = 34.0 kN/m, a = 4 m, and b = 9 m.

Assuming that the live loads are transmitted to the bottom chords of the truss, draw the influence line for the force in member DH. The line’s maximum value occurs _______. Let L = 18 ft.

The absolute maximum shear in a simply supported beam due to a series of moving concentrated loads always occurs at midspan.

You cannot put a unit load at a hinge to determine deflection using the method of virtual work.

Determine the vertical displacement of joint B. Assume A = 2 in.2 and E = 29,000 ksi for each member. Let P = 760 lb and L = 8 ft.

Determine the vertical reaction force at A. Let M = 140 kN·m, w = 35 kN/m, P = 100 kN, a = 4 m, b = 7 m, and c = 5 m.

The floor system of an apartment building consists of a 5-inch-thick reinforced concrete slab resting on three steel floor beams, which are in turn supported by two steel girders. The areas of cross section of the floor beams and the girders are 17.7 in.2 and 34.1 in.2, respectively. Determine the dead load acting on beam AB.

Determine the magnitude of the largest bending moment in the beam. Assume L = 4 ft, P = 600 lb, and w = 250 lb/ft.

Determine the beam deflection at point H. Assume that EI = 4.64 × 1010 kN-mm2 is constant.