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Using the method of consistent deformations, determine the magnitude of the reaction at A. Let w = 19 kN/m and L = 7 m.

Using the method of consistent deformations, determine the magnitude of the reaction at D. Let w = 25 kN/m and L = 7 m.

Using the method of consistent deformations, determine the magnitude of the reaction at C. Let w = 20 kN/m and L = 7 m.

Determine the reaction moment at A. Let P = 162 lb, a = 53 in., and EI = 182 × 106 lb·in.2.

Draw the influence line for the shear at B. What is the line’s maximum negative value? Let L1 = 3 m and L2 = 13 m.

Determine the reaction force at B. Let w = 19 lb/in., a = 61 in., and EI = 34 × 106 lb·in.2.

Using the method of consistent deformations, determine the magnitude of the reaction at D. Let w = 26 kN/m and L = 8 m.

The beam supports a single live load of 1,710 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.

Determine the magnitude of the bending moment at A. Let w = 1.2 kip/ft, L1 = 33 ft, and L2 = 27 ft. Assume EI = constant.

Compatibility conditions are based on the structure’s geometry of deformation.