The beam supports a single live load of 2,800 lb, a uniform live load of 500 lb/ft, a uniform dead load of 50 lb/ft. Determine the maximum positive moment 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.

Draw the influence line for the moment at B. What is the line’s minimum value? Let L1 = 5 m and L2 = 13 m.

Determine the deflection at B that would be caused by the concentrated moment if the middle support was not there. Let M = 14,500 lb·in., a = 83.14 in., b = 60.86 in., and EI = 35 × 106 lb·in.2. Note that b = (a + b).

The beam is fixed at wall B. Determine the internal bending moment at point C, which is x = 6 ft to the right of support A. Let L = 30 ft, M = 1,000 lb·ft, P = 725 lb and w0 = 175 lb/ft.

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

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

Draw the influence line for the moment at B. What is the line’s maximum value? Let L1 = 3 m and L2 = 10 m.

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

Draw the influence line for the reaction at C. What is the line’s maximum value? Let L1 = 6 m and L2 = 4 m.

The beam supports a single live load of 2,980 lb. 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.