Per ACI 318 standards (Section 25.4.2.1 in 2014 edition) and the homework, when calculating the development length of deformed bars, what is the minimum value of ld?

Assuming Vs does not exceed 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let b1 = 31 in., b2 = 15 in., d1 = 4 in., and d2 = 53 in. There are three No. 7 longitudinal tension bars and No. 5 stirrups at 10 in. o.c.

Find the inverse of the function. (5 points) f(x) = – 7

A building has a ramp to its front doors to accommodate the handicapped. If the distance from the building to the end of the ramp is 22 feet and the height from the ground to the front doors is 5 feet, how long is the ramp? (Round to the nearest tenth.) (5 points)

In welded-wire reinforcement, deformed-wire reinforcement derives anchorage from bond stresses along the _______ wires and from mechanical anchorage from the _______ wires.

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.