Compute φVn for the cross section shown. Assume f’c = 5,000 psi, fyt = 40,000 psi, d = 28 in., w = 22.5 in., t = 4 in., and that there are four No. 7 longitudinal tension bars and No. 3 stirrups at 10 in. o.c.

A 123-mm-long beam supports a load of P = 32 N at midspan. The cross section is rectangular with width b = 25 mm and height h = 45 mm. Determine the magnitude of the horizontal shear stress at the centroid of the cross section.

A 120-mm-long beam supports a load of P = 31 N at midspan. The cross section is rectangular with width b = 26 mm and height h = 40 mm. Determine the magnitude of the horizontal shear stress at the centroid of the cross section.

Determine the bar-spacing factor, cb, for a simply supported rectangular beam with b = 16 in. and No. 3 stirrups. This beam has five No. 8 bars as longitudinal reinforcement. The clear cover is 1.8 in.

Determine the bar-spacing factor, cb, for a simply supported rectangular beam with b = 24 in. and No. 3 stirrups. This beam has three No. 9 bars as longitudinal reinforcement. The clear cover is 1.9 in.

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.

Find the approximate value of  using a calculator. ​

Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 3 (5 points)

Find the exact solution to the equation. (5 points) 10-log4(x+6) = 9

A simply-supported beam has a 3 kip/ft uniformly-distributed load over the left half of its 13-ft span. What is the magnitude of the shear force at midspan?