A beam has dimensions of b = 18 in., h = 22 in., and d = 19.5 in. and is reinforced with 4 No. 5 bars. The concrete strength is 7,900 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.

A 21-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 = 21 lb. Let a = 53 in.

A load of P = 7 N is applied to a hex wrench that has lengths a = 27 mm and b = 97 mm. Determine the torque applied to the set screw.

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.

A force of P = 20 N is applied to a lever at the end of a composite shaft. Sleeve (1) has a polar moment of inertia of 104,000 mm4 and a shear modulus of 1.4 GPa. Core (2) has a polar moment of inertia of 27,500 mm4 and a shear modulus of 1.2 GPa. Determine the torque produced in core (2). Let a = b = 250 mm.

Gear A has a diameter of 1.04 in., and gear B has a diameter of 1.49 in. If the pointer needs to be rotated 66° CW, how much should the motor be rotated?

A load of P = 4 N is applied to a hex wrench that has lengths a = 21 mm and b = 71 mm. Determine the torque applied to the set screw.

You are considering a beam design that has dimensions of b = 16 in., h = 24 in., and d = 21.5 in. The beam is singly reinforced with all of the reinforcement in a single row. The concrete strength is 2,500 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 torque of TC = 870 N·m is applied to the aluminum shaft. Segment (1) has a diameter of 79 mm, and segment (2) has a diameter of 40 mm. Determine the angle of twist at C. Let L1 = 0.58 m and L2 = 0.36 m.

A torque of TC = 870 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 = 0.70 m and L2 = 0.30 m.