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

A simply supported beam with dimensions of b = 14 in., h = 30 in., d = 27.5 in., and L = 24 ft supports a uniform service (unfactored) dead load of 1.5375 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.2 kips/ft. The beam is reinforced with two No. 5 Grade 60 bars. The concrete strength is 7,600 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Using the effective moment of inertia, determine the immediate mid-span deflection of the beam due to the combined service loads (dead plus live).The effective moment of inertia Ie = 8,000 in.4.

Determine the transverse reinforcement index, Ktr, for a rectangular beam with b = 17 in. and d = 20 in., three epoxy-coated No. 6 Grade 60 tension-reinforcement bars placed in the bottom of the beam, and No. 3 Grade 40 stirrups located every 12 in. along the span. Assume 8,000-psi normal-weight concrete and a clear cover of 1.5 in.

Determine the size modification factor, ψs, for a rectangular beam with b = 18 in. and d = 22 in., four epoxy-coated No. 6 Grade 60 tension-reinforcement bars placed in the top of the beam, and No. 4 Grade 40 stirrups located every 12 in. along the span. Assume 4,000-psi lightweight concrete and a clear cover of 1.75 in.

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.