A torque of TC = 980 N·m is applied to the aluminum [G = 70 GPa] shaft. Segment (1) has a diameter of 87 mm, and segment (2) has a diameter of 42 mm. Determine the angle of twist at C. Let L1 = 0.66 m and L2 = 0.39 m.

Determine the magnitude of the largest bending moment (consider both positive and negative peaks) in the beam. Let M = 195 lb·ft, a = 2.8 ft, and b = 7.2 ft. Assume the beam cannot lift off of the supports.

A torque of T = 255 lb·in. is applied to two pulleys and a copper-alloy shaft. Determine the minimum diameter of the shaft if its shear yield strength is 23 ksi.

A 36-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 = 1.3846 lb/in. Let a = 36 in. and b = 26 in.

A load of P = 21 N is applied to a hex wrench that has lengths a = 34 mm and b = 108 mm. Determine the torque applied to the set screw.

Determine the magnitude of the largest bending moment (consider both positive and negative peaks) in the beam. Let M = 133 lb·ft, a = 2.5 ft, and b = 9.5 ft. Assume the beam cannot lift off of the supports.

Determine the magnitude of the largest bending moment (consider both positive and negative peaks) in the beam. Let M = 114 lb·ft, a = 2.9 ft, and b = 8.1 ft. Assume the beam cannot lift off of the supports.

A force of P = 22 N is applied to a lever at the end of a composite shaft. Sleeve (1) has a polar moment of inertia of 98,600 mm4 and a shear modulus of 0.9 GPa. Core (2) has a polar moment of inertia of 32,600 mm4 and a shear modulus of 0.7 GPa. Determine the torque produced in core (2). Let a = b = 210 mm.

Loads P = 10 N, Q = 95 N, and R = 35 N are applied to the structure. Determine the torque generated in segment (1). Let a = 100 mm, b = 90 mm, and c = 60 mm.

A 64-lb child and a 110-lb adult are on an oak beam. Determine the vertical reaction force at the right end of the beam. Let a = 20 in., b = 56 in., and c = 24 in.