A 124-mm-long beam supports a load of P = 48 N at midspan. The cross section is rectangular with width b = 25 mm and height h = 40 mm. Determine the magnitude of the horizontal shear stress at the centroid of the cross section.

Brittle materials fail due to maximum shear stress rather than principal stresses.

; g(x) = 8x – 7Find f(g(x)). (5 points)

Perform the requested operation or operations. f(x) = ; g(x) = 8x + 3, find g(f(x)). (5 points)

Compute φVn for the cross section shown. Assume f’c = 8,000 psi, fyt = 60,000 psi, b = 15 in., d = 23 in., and that there are four No. 6 longitudinal tension bars and No. 5 stirrups at 11 in. o.c.

Mi papá practica deporte porque quiere [q16] en forma.

Write the expression as the sine, cosine, or tangent of an angle. sin 52° cos 13° – cos 52° sin 13° (6 points)

Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. 263° (5 points)

Which of the following best describes a smeared-crack model?

Find the remainder when f(x) is divided by (x – k). f(x) = 3×4 + 11×3 + 2×2 – 7x + 61; k = 3 (5 points)