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)

As the size of coarse aggregate increases, the roughness of the crack decreases. This allows higher shear stresses to be transferred across the crack.

As the size of coarse aggregate increases, the roughness of the crack decreases. This allows higher shear stresses to be transferred across the crack.

A 125-mm-long beam supports a load of P = 40 N at midspan. The cross section is rectangular with width b = 30 mm and height h = 40 mm. Determine the magnitude of the horizontal shear stress at the centroid of the cross section.

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

Determine the transverse reinforcement index, Ktr, for a rectangular beam with b = 18 in. and d = 24 in., five epoxy-coated No. 6 Grade 60 tension-reinforcement bars placed in the top of the beam, and No. 3 Grade 60 stirrups located every 6 in. along the span. Assume 5,000-psi normal-weight concrete and a clear cover of 1.5 in.

You are considering a beam design that has dimensions of b = 18 in., h = 26 in., and d = 23.5 in. The beam is singly reinforced with all of the reinforcement in a single row. The concrete strength is 10,000 psi, and the yield strength of the reinforcement is 60,000 psi. What cross-sectional area of reinforcement is needed to achieve a strain in the reinforcement of 0.0075?