A 76-lb child and a 24-lb cardboard box are on an oak beam. Determine the vertical reaction force at the left end of the beam. Let a = 24 in., b = 34 in., and c = 48 in.

A load of P = 70 N is applied a = 200 mm from the center of a 17 mm bolt. Determine the torque applied to the bolt.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 7 No. 7 bars at a depth of 16 in. The top row contains 5 No. 8 bars at a depth of 12 in. Determine the effective (centroidal) depth, d, of the steel.

A torque of TC = 860 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 = 0.64 m and L2 = 0.37 m.

Gear A has a diameter of 1.72 in., and gear B has a diameter of 2.25 in. If the pointer needs to be rotated 47° CW, how much should the motor be rotated?

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.

Gear A has 77 teeth, and gear B has 59 teeth. If a torque of 34 lb·in. and a speed of 920 rpm is required at C, determine the minimum power that the motor must provide.

A load of P = 66 N is applied a = 240 mm from the center of a 20 mm bolt. Determine the torque applied to the bolt.

A beam has dimensions of b = 18 in., h = 12 in., and d = 9.5 in. and is reinforced with 5 No. 11 bars. The concrete strength is 3,800 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 9.47 in., does the reinforcement yield?

A beam has dimensions of b = 14 in., h = 30 in., d’ = 2.5 in., and d = 27.5 in. It is reinforced with 2 No. 5 bars on the compression side and 5 No. 8 bars on the tension side. The concrete strength is 2,800 psi, and the yield strength of the reinforcement is 60,000 psi. For the results given below, determine the strength Mn for this beam.a = 6.102 in. (depth of concrete stress block)Cc = 201.8 kips (compressive force in concrete)Cs = 35.2 kips (compressive force in steel)T = 237.0 kips (tensile force in steel)