For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b1 = 35 in., b2 = 11 in., d1 = 6 in., d2 = 25 in., and that there are three No. 7 longitudinal tension bars and No. 3 stirrups at 6 in. o.c. The stirrup hooks are 90°.

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.

Assuming Vs does not exceed 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let b1 = 28 in., b2 = 14 in., d = 49 in., h1 = 4 in., h2 = 42 in., h3 = 8 in., and t = 7 in. There are six No. 6 longitudinal tension bars and No. 4 stirrups at 11 in. o.c.

f(x) = 3x + 9, g(x) = 3×2 Find (fg)(x). (5 points)

Soft skills are invisible and difficult to measure.

Which of the following is not a common type of splice?

The determination of whether a reinforced concrete floor system is classified as a one-way or two-way system is based on the ratio of the span lengths for the floor slab in the two principal horizontal directions.

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?

Find the inverse of the function. f(x) = 5×3 – 3 (5 points)

Which reaction involving CO2 predominates within erythrocytes in the pulmonary capillaries of the lung?