A 70-lb child and a 25-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 = 31 in., and c = 45 in.

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 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)

A torque of TC = 990 N·m is applied to the aluminum [G = 73 GPa] shaft. Segment (1) has a diameter of 77 mm, and segment (2) has a diameter of 42 mm. Determine the angle of twist at C. Let L1 = 0.50 m and L2 = 0.38 m.

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 25-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 = 1.2500 lb/in. Let a = 41 in. and b = 20 in.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 8 No. 5 bars at a depth of 22 in. The top row contains 5 No. 5 bars at a depth of 18 in. Determine the effective (centroidal) depth, d, of the steel.

Loads P = 90 N, Q = 70 N, and R = 65 N are applied to the structure. Determine the torque generated in segment (1). Let a = 110 mm, b = 70 mm, and c = 55 mm.

You are considering a beam design that has dimensions of b = 18 in., h = 26 in., and d = 23.5 in. The beam is singly reinforced with all of the reinforcement in a single row. The concrete strength is 8,500 psi, and the yield strength of the reinforcement is 60,000 psi. What cross-sectional area of reinforcement is needed to achieve a strain in the reinforcement of 0.0075?

A load of P = 14 N is applied to a hex wrench that has lengths a = 41 mm and b = 143 mm. Determine the torque applied to the set screw.