For the given influence line, where should a concentrated live load be placed to have the largest positive influence?

Determine the vertical reaction force at B. Let P1 = 140 kN, P2 = 50 kN, P3 = 100 kN, and a = b = c = d = 2.7 m.

Draw the influence line for the shear at B. What is the line’s maximum negative value? Let L1 = 5 m and L2 = 9 m.

Determine the beam deflection at point B. Assume E = 186 GPa and I = 232 × 106 mm4 are constant.

Draw the influence line for the shear at B. What is the line’s maximum negative value? Let L1 = 5 m and L2 = 8 m.

The beam supports a uniform live load of 427 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 = 5 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 compatibility equation, θ(BO rel.) + f(BB rel.) MB = 0, is based on the requirement that the slope of the elastic curve of the actual indeterminate beam is _______ at B.

Determine the beam deflection at point H. Assume that EI = 1.99 × 1010 kN-mm2 is constant.

The beam is fixed at wall B. Determine the vertical reaction force By at point B. Let L = 30 ft, M = 950 lb·ft, P = 775 lb and w0 = 225 lb/ft.