Use ACI 318-14 Table 25.4.2.2 to determine the development length for the straight tension bars (no hooks) in a rectangular beam with b = 16 in. and d = 21 in., five uncoated No. 9 Grade 60 bars placed in the bottom of the beam, and No. 4 Grade 60 stirrups located every 8 in. along the span. Assume 7,000-psi lightweight concrete and a clear cover of 1.75 in.

Determine the casting-position modification factor, ψt, for a rectangular beam with b = 16 in. and d = 21 in., four epoxy-coated No. 9 Grade 60 tension-reinforcement bars placed in the top of the beam, and No. 4 Grade 40 stirrups located every 10 in. along the span. Assume 8,000-psi lightweight concrete and a clear cover of 1.75 in.

Force P = 48 N is applied to a lever at the end of a 35-mm-diameter shaft. Force Q = 835 N is applied directly to the shaft. Determine the normal stress σy at point K. Let a = 165 mm and b = 235 mm.

Use ACI 318-14 Table 25.4.2.2 to determine the development length for the straight tension bars (no hooks) in a rectangular beam with b = 18 in. and d = 20 in., three uncoated No. 8 Grade 60 bars placed in the top of the beam, and No. 3 Grade 40 stirrups located every 10 in. along the span. Assume 8,000-psi lightweight concrete and a clear cover of 1.75 in.

Determine the epoxy modification factor, ψe, for a rectangular beam with b = 17 in. and d = 20 in., four epoxy-coated No. 9 Grade 60 tension-reinforcement bars placed in the bottom of the beam, and No. 4 Grade 40 stirrups located every 8 in. along the span. Assume 7,000-psi normal-weight concrete and a clear cover of 1.75 in.

A rectangular beam has a cross section of b = 18 in., h = 26 in., and d = 23.5 in. It is reinforced with four No. 8 Grade 60 bars. The concrete strength is 5,500 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.

A 850 N person stands in the middle of a 2.38 m simply-supported beam. The beam has a base of 90 mm and a height of 175 mm. Determine the maximum horizontal shear stress in the beam.

The pressure hull of a space station module has an inside diameter of 4.4 m, a length of 5.3 m, and a wall thickness of 2.7 mm. It is made from an aluminum alloy with a yield strength of 256 MPa. If the hull is successfully pressure tested to 180 kPa on Earth, determine the factor of safety with respect to yielding.

Force P = 45 N is applied to a lever at the end of a 34-mm-diameter shaft. Force Q = 845 N is applied directly to the shaft. Determine the magnitude of the shear stress τxy at point H. Let a = 150 mm and b = 220 mm.

A rectangular beam with cross section b = 16 in., h = 26 in., and d = 23.5 in. supports a total factored uniform load of 2.40 kips/ft, including its own dead load. The beam is simply supported with a 19-ft span. It is reinforced with five No. 6 Grade 60 bars, three of which are cutoff between midspan and the support and two of which extend 10 in. past the centers of the supports. The concrete strength is 3,900 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. The strength of the five bars is φMn = 220.3 kip-ft, and the strength of the remaining two bars is φMn = 91.09 kip-ft. If the distance from the support to the theoretical cutoff point is 5.713 ft, determine the distance from the support to the actual cutoff point (i.e. use ACI 318-14 Section 9.7.3.3).