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A 19-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 = 19 lb. Let a = 45 in.

A beam has dimensions of b = 16 in., h = 24 in., and d = 21.5 in. and is reinforced with 2 No. 8 bars. The concrete strength is 5,500 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.

A load of P = 21 N is applied a = 170 mm from the center of a 14 mm bolt. Determine the torque applied to the bolt.

A load of P = 80 N is applied a = 120 mm from the center of a 10 mm bolt. Determine the torque applied to the bolt.

Gear B has 8 teeth, and gear C has 17 teeth. If a torque of 10 lb·in. and a speed of 2,180 rpm is required at A, determine the minimum power that the motor must provide.

Gear B has 9 teeth, and gear C has 16 teeth. If a torque of 20 lb·in. and a speed of 1,810 rpm is required at A, determine the minimum power that the motor must provide.

A load of P = 22 N is applied to a hex wrench that has lengths a = 50 mm and b = 186 mm. Determine the torque applied to the set screw.

Loads P = 30 N, Q = 70 N, and R = 45 N are applied to the structure. Determine the torque generated in segment (1). Let a = 105 mm, b = 85 mm, and c = 60 mm.

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.

Determine the magnitude of the largest bending moment (consider both positive and negative peaks) in the beam. Let M = 126 lb·ft, a = 3.6 ft, and b = 10.4 ft. Assume the beam cannot lift off of the supports.