A torque of TC = 990 N·m is applied to the aluminum [G = 73 GPa] shaft. Segment (1) has a diameter of 77 mm, and segment (2) has a diameter of 42 mm. Determine the angle of twist at C. Let L1 = 0.50 m and L2 = 0.38 m.

A load of P = 66 N is applied a = 240 mm from the center of a 20 mm bolt. Determine the torque applied to the bolt.

A 25-lb cardboard box sits on an oak beam. Determine the maximum bending moment in the beam if the weight is modeled as distributed load w = 1.2500 lb/in. Let a = 41 in. and b = 20 in.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 8 No. 5 bars at a depth of 22 in. The top row contains 5 No. 5 bars at a depth of 18 in. Determine the effective (centroidal) depth, d, of the steel.

Loads P = 90 N, Q = 70 N, and R = 65 N are applied to the structure. Determine the torque generated in segment (1). Let a = 110 mm, b = 70 mm, and c = 55 mm.

You are considering a beam design that has dimensions of b = 18 in., h = 26 in., and d = 23.5 in. The beam is singly reinforced with all of the reinforcement in a single row. The concrete strength is 8,500 psi, and the yield strength of the reinforcement is 60,000 psi. What cross-sectional area of reinforcement is needed to achieve a strain in the reinforcement of 0.0075?

A load of P = 14 N is applied to a hex wrench that has lengths a = 41 mm and b = 143 mm. Determine the torque applied to the set screw.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 6 No. 5 bars at a depth of 14 in. The top row contains 3 No. 8 bars at a depth of 8.5 in. Determine the effective (centroidal) depth, d, of the steel.

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 4 No. 8 bars on the tension side. The concrete strength is 4,000 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 4.199 in., determine the force in the compression reinforcement, Cs.

A 66-lb child and a 18-lb cardboard box are on an oak beam. Determine the vertical reaction force at the right end of the beam. Let a = 24 in., b = 36 in., and c = 42 in.