A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 10 No. 8 bars at a depth of 20 in. The top row contains 7 No. 5 bars at a depth of 16 in. Determine the effective (centroidal) depth, d, of the steel.

Find the standard form of the equation of the parabola with a focus at (0, 4) and a directrix at y = -4. (5 points)

Adjacent span loading is the common loading pattern for determining maximum negative moments at supports due to live load.

Solve the triangle. B = 36°, a = 42, c = 18 (5 points)

Find an explicit rule for the nth term of the sequence. 3, -12, 48, -192, … (5 points)  

Let u = , v = . Find -3u + 5v. (5 points)

Determine β1 given that f’c = 9,100 psi.

Given that P = (-5, 5) and Q = (-13, 10), find the component form and magnitude of 2 . (5 points)

Determine whether the sequence converges or diverges. If it converges, give the limit. 108, -54, 27, , …   (5 points)

What is the symbol for the moment due to factored loads?