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.

A torque of TC = 970 N·m is applied to the aluminum [G = 74 GPa] shaft. Segment (1) has a diameter of 89 mm, and segment (2) has a diameter of 41 mm. Determine the angle of twist at C. Let L1 = 0.55 m and L2 = 0.37 m.

Gear A has 76 teeth, and gear B has 59 teeth. If a torque of 42 lb·in. and a speed of 930 rpm is required at C, determine the minimum power that the motor must provide.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 6 No. 7 bars at a depth of 14 in. The top row contains 3 No. 5 bars at a depth of 11 in. Determine the effective (centroidal) depth, d, of the steel.

A classmate has suggested a beam design that has dimensions of b = 14 in., h = 24 in., and d = 21.5 in. and is reinforced with 5 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 torque of T = 340 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 21 ksi.

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?