A force of P = 20 N is applied to a lever at the end of a composite shaft. Sleeve (1) has a polar moment of inertia of 104,000 mm4 and a shear modulus of 1.4 GPa. Core (2) has a polar moment of inertia of 27,500 mm4 and a shear modulus of 1.2 GPa. Determine the torque produced in core (2). Let a = b = 250 mm.

A load of P = 4 N is applied to a hex wrench that has lengths a = 21 mm and b = 71 mm. Determine the torque applied to the set screw.

You are considering a beam design that has dimensions of b = 16 in., h = 24 in., and d = 21.5 in. The beam is singly reinforced with all of the reinforcement in a single row. The concrete strength is 2,500 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 torque of TC = 870 N·m is applied to the aluminum shaft. Segment (1) has a diameter of 79 mm, and segment (2) has a diameter of 40 mm. Determine the angle of twist at C. Let L1 = 0.58 m and L2 = 0.36 m.

A torque of TC = 870 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 = 0.70 m and L2 = 0.30 m.

A 56-lb child and a 118-lb adult are on an oak beam. Determine the vertical reaction force at the left end of the beam. Let a = 25 in., b = 41 in., and c = 24 in.

A load of P = 6 N is applied to a hex wrench that has lengths a = 18 mm and b = 57 mm. Determine the torque applied to the set screw.

A load of P = 29 N is applied a = 235 mm from the center of a 20 mm bolt. Determine the torque applied to the bolt.

A torque of TC = 610 N·m is applied to the aluminum shaft. Segment (1) has a diameter of 74 mm, and segment (2) has a diameter of 35 mm. Determine the angle of twist at C. Let L1 = 0.68 m and L2 = 0.40 m.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 6 No. 5 bars at a depth of 18 in. The top row contains 2 No. 6 bars at a depth of 13.5 in. Determine the effective (centroidal) depth, d, of the steel.