A force of P = 23 N is applied to a lever at the end of a composite shaft. Sleeve (1) has a polar moment of inertia of 79,900 mm4 and a shear modulus of 1.6 GPa. Core (2) has a polar moment of inertia of 23,000 mm4 and a shear modulus of 2.0 GPa. Determine the torque produced in sleeve (1). Let a = b = 240 mm.

A beam has dimensions of b = 14 in., h = 28 in., and d = 25.5 in. and is reinforced with 4 No. 8 bars. The concrete strength is 3,400 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.

A beam has dimensions of b = 16 in., h = 22 in., and d = 19.5 in. and is reinforced with 3 No. 5 bars. The concrete strength is 3,400 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.

A beam has dimensions of b = 18 in., h = 12 in., and d = 9.5 in. and is reinforced with 5 No. 5 bars. The concrete strength is 5,000 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 1.52 in., does the reinforcement yield?

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 10 No. 8 bars at a depth of 14 in. The top row contains 6 No. 6 bars at a depth of 8.5 in. Determine the effective (centroidal) depth, d, of the steel.

A 30-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 = 1.0714 lb/in. Let a = 38 in. and b = 28 in.

Gear A has a diameter of 1.62 in., and gear B has a diameter of 2.15 in. If the pointer needs to be rotated 54° CW, how much should the motor be rotated?

A classmate has suggested a beam design that has dimensions of b = 16 in., h = 26 in., and d = 23.5 in. and is reinforced with 4 No. 9 bars. Assuming a cover of 1.5 in. and a stirrup diameter of 0.5 in., does the reinforcement fit within a single row as suggested?

A 84-lb child and a 23-lb cardboard box are on an oak beam. Determine the vertical reaction force at the left end of the beam. Let a = 23 in., b = 34 in., and c = 49 in.

A beam has dimensions of b = 16 in., h = 28 in., and d = 25.5 in. and is reinforced with 4 No. 6 bars. The concrete strength is 9,700 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.