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 classmate has suggested a beam design that has dimensions of b = 16 in., h = 30 in., and d = 27.5 in. and is reinforced with 4 No. 7 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 beam has dimensions of b = 16 in., h = 22 in., and d = 19.5 in. and is reinforced with 5 No. 7 bars. The concrete strength is 7,600 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 10 No. 8 bars at a depth of 14 in. The top row contains 6 No. 6 bars at a depth of 8.5 in. Determine the effective (centroidal) depth, d, of the steel.

A force of P = 24 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 1.1 GPa. Core (2) has a polar moment of inertia of 23,000 mm4 and a shear modulus of 0.6 GPa. Determine the torque produced in sleeve (1). Let a = b = 230 mm.

A 77-lb child and a 38-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 = 32 in., and c = 50 in.

Gear A has a diameter of 1.62 in., and gear B has a diameter of 2.15 in. If the pointer needs to be rotated 54° CW, how much should the motor be rotated?

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 = 14 in., h = 28 in., d’ = 2.5 in., and d = 25.5 in. It is reinforced with 2 No. 5 bars on the compression side and 4 No. 8 bars on the tension side. The concrete strength is 4,000 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 4.199 in., determine the force in the compression reinforcement, Cs.

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.