Blog

A force of P = 25 N is applied to a lever at the end of a composite shaft. Sleeve (1) has a polar moment of inertia of 93,400 mm4 and a shear modulus of 1.0 GPa. Core (2) has a polar moment of inertia of 23,000 mm4 and a shear modulus of 0.5 GPa. Determine the torque produced in core (2). Let a = b = 250 mm.

A 27-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 = 1.1250 lb/in. Let a = 33 in. and b = 24 in.

Loads P = 45 N, Q = 60 N, and R = 65 N are applied to the structure. Determine the torque generated in segment (1). Let a = 105 mm, b = 70 mm, and c = 45 mm.

A 39-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 = 39 lb. Let a = 49 in.

A 36-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 = 1.6364 lb/in. Let a = 35 in. and b = 22 in.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 8 No. 7 bars at a depth of 24 in. The top row contains 6 No. 6 bars at a depth of 18.5 in. Determine the effective (centroidal) depth, d, of the steel.

Gear A has a diameter of 1.94 in., and gear B has a diameter of 2.70 in. If the pointer needs to be rotated 111° CW, how much should the motor be rotated?

A torque of TC = 840 N·m is applied to the aluminum [G = 73 GPa] shaft. Segment (1) has a diameter of 71 mm, and segment (2) has a diameter of 39 mm. Determine the angle of twist at C. Let L1 = 0.67 m and L2 = 0.39 m.

A load of P = 19 N is applied to a hex wrench that has lengths a = 15 mm and b = 46 mm. Determine the torque applied to the set screw.

You are considering a beam design that has dimensions of b = 18 in., h = 28 in., and d = 25.5 in. The beam is singly reinforced with all of the reinforcement in a single row. The concrete strength is 9,100 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?