Determine the magnitude of the largest bending moment (consider both positive and negative peaks) in the beam. Let M = 149 lb·ft, a = 3.6 ft, and b = 10.4 ft. Assume the beam cannot lift off of the supports.

A 35-lb cardboard box sits on an oak beam. Determine the maximum bending moment in the beam if the weight is modeled as concentrated load P = 35 lb. Let a = 52 in.

A load of P = 20 N is applied to a hex wrench that has lengths a = 29 mm and b = 108 mm. Determine the torque applied to the set screw.

A beam has dimensions of b = 14 in., h = 28 in., d’ = 2.5 in., and d = 25.5 in. It is reinforced with 2 No. 5 bars on the compression side and 5 No. 8 bars on the tension side. The concrete strength is 3,400 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 6.026 in., determine the strain in the compression reinforcement, ε’s.

Loads P = 51 N, Q = 76 N, and R = 17 N are applied to the structure. Determine the torque generated in segment (2). Let a = 114 mm, b = 85 mm, and c = 56 mm.

A load of P = 20 N is applied to a hex wrench that has lengths a = 34 mm and b = 122 mm. Determine the torque applied to the set screw.

A 76-lb child and a 24-lb cardboard box are on an oak beam. Determine the vertical reaction force at the left end of the beam. Let a = 24 in., b = 34 in., and c = 48 in.

A load of P = 70 N is applied a = 200 mm from the center of a 17 mm bolt. Determine the torque applied to the bolt.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 7 No. 7 bars at a depth of 16 in. The top row contains 5 No. 8 bars at a depth of 12 in. Determine the effective (centroidal) depth, d, of the steel.

A torque of TC = 860 N·m is applied to the aluminum shaft. Segment (1) has a diameter of 76 mm, and segment (2) has a diameter of 40 mm. Determine the angle of twist at C. Let L1 = 0.64 m and L2 = 0.37 m.