A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 9 No. 6 bars at a depth of 16 in. The top row contains 7 No. 7 bars at a depth of 12 in. Determine the effective (centroidal) depth, d, of the steel.

Compute φVn for the cross section shown. Assume f’c = 8,000 psi, fyt = 40,000 psi, d = 23 in., w = 15.5 in., t = 5 in., and that there are four No. 9 longitudinal tension bars and No. 4 stirrups at 10 in. o.c.

A beam has dimensions of b = 14 in., h = 26 in., d’ = 2.5 in., and d = 23.5 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.

You are considering a beam design that has dimensions of b = 14 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 8,800 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?

For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b1 = 35 in., b2 = 15 in., d1 = 6 in., d2 = 27 in., and that there are three No. 6 longitudinal tension bars and No. 4 stirrups at 9 in. o.c. The stirrup hooks are 90°.

As the size of coarse aggregate increases, the roughness of the crack increases. This allows higher shear stresses to be transferred across the crack.

For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b1 = 39 in., b2 = 15 in., d1 = 8 in., d2 = 19 in., and that there are three No. 6 longitudinal tension bars and No. 3 stirrups at 12 in. o.c. The stirrup hooks are 90°.

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 5 No. 8 bars on the tension side. The concrete strength is 2,500 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 = 6.767 in. (depth of concrete stress block)Cc = 200.0 kips (compressive force in concrete)Cs = 37.0 kips (compressive force in steel)T = 237.0 kips (tensile force in steel)

A continuous beam’s flexural reinforcement must extend at least _____ from the point where it is no longer needed to resist tension. Assume f’c = 4,000 psi, fyt = 40,000 psi, b1 = 21 in., b2 = 11 in., d = 27 in., h1 = 6 in., h2 = 17 in., h3 = 9 in., and t = 6 in. There are four No. 8 longitudinal tension bars and No. 4 stirrups at 10 in. o.c.

A continuous beam’s flexural reinforcement must extend at least _____ from the point where it is no longer needed to resist tension. Assume f’c = 4,000 psi, fyt = 40,000 psi, b = 13 in., d = 17 in., and that there are four No. 7 longitudinal tension bars and No. 3 stirrups at 7 in. o.c. The stirrup hooks are 135°.