If φVc = 33 kip and Vu = 51 kip, are stirrups required?

Choose the graph which matches the function. (5 points) f(x) = 2x+2

The decay of 277 mg of an isotope is described by the function A(t)= 277e-0.019t, where t is time in years. Find the amount left after 64 years. Round your answer to the nearest mg. Show all of your work for full credit. (5 points)

A simply-supported beam has a 3 kip/ft uniformly-distributed load over the left half of its 11-ft span. What is the magnitude of the maximum shear force in the beam?

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

When a reinforcing bar is loaded in _______, the diameter of the bar decreases slightly, due to Poisson’s ratio.

Find the exponential function that satisfies the given conditions: Initial value = 56, decreasing at a rate of 0.42% per week (5 points)  

The use of compression reinforcement permits the use of more tension reinforcement to decrease the strength of a given beam section while keeping the section compression-controlled.

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.

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 = 27 in., b2 = 11 in., d1 = 6 in., d2 = 17 in., and that there are three No. 6 longitudinal tension bars and No. 3 stirrups at 7 in. o.c. The stirrup hooks are 90°.