A rectangular beam has a cross section of b = 16 in., h = 26 in., and d = 23.5 in. It is reinforced with five No. 7 Grade 60 bars. The concrete strength is 5,200 psi (normal weight). The beam has Grade 60 No. 3 stirrups satisfying ACI 318-14 Sections 9.7.6.2.2 and 9.6.3.3. Determine the strength φMn for this beam.

Find the exact value of sin-1(-0.5). (5 points)

As axial tensile force is increased, the onset of flexural cracking is delayed.

Find the exact value of arctan (sin ( )). For full credit, explain your reasoning. (5 points)

An example of a shear reversal would be a _______ load.

The strength-reduction factor, φ, for shear and torsion is 0.75.

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A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 8 No. 7 bars at a depth of 24 in. The top row contains 6 No. 6 bars at a depth of 20 in. Determine the effective (centroidal) depth, d, of the steel.

Convert the radian measure to degree measure. Use the value of π found on a calculator, and round answers to two decimal places. (5 points)

Match the following terms to the meaning.