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Force P = 47 N is applied to a lever at the end of a 30-mm-diameter shaft. Force Q = 965 N is applied directly to the shaft. Determine the normal stress σy at point K. Let a = 160 mm and b = 215 mm.

Determine the size modification factor, ψs, for a rectangular beam with b = 18 in. and d = 20 in., four epoxy-coated No. 6 Grade 60 tension-reinforcement bars placed in the bottom of the beam, and No. 4 Grade 40 stirrups located every 6 in. along the span. Assume 7,000-psi normal-weight concrete and a clear cover of 1.5 in.

Determine the bar-spacing factor, cb, for a simply supported rectangular beam with b = 20 in. and No. 3 stirrups. This beam has four No. 7 bars as longitudinal reinforcement. The clear cover is 1.8 in.

Determine the epoxy modification factor, ψe, for a rectangular beam with b = 18 in. and d = 21 in., five epoxy-coated No. 6 Grade 60 tension-reinforcement bars placed in the top of the beam, and No. 3 Grade 40 stirrups located every 8 in. along the span. Assume 4,000-psi normal-weight concrete and a clear cover of 1.5 in.

Force P = 50 N is applied to a lever at the end of a 30-mm-diameter shaft. Force Q = 195 N is applied directly to the shaft. Determine the normal stress σy at point H. Let a = 170 mm and b = 235 mm.

A 780 N person stands at the end of a 1.52 m cantilever beam. The beam has a base of 80 mm and a height of 150 mm. Determine the maximum bending stress in the beam.

Determine the transverse reinforcement index, Ktr, for a rectangular beam with b = 17 in. and d = 21 in., five galvanized 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 1.75 in.

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.

Force P = 47 N is applied to a lever at the end of a 31-mm-diameter shaft. Force Q = 900 N is applied directly to the shaft. Determine the normal stress σy at point K. Let a = 145 mm and b = 235 mm.

A pipeline with an outside diameter of 420 mm and a wall thickness of 12 mm is pressurized to 2.2 MPa. Due to thermal expansion, a compressive force of 21 kN is generated along the length of the pipes. Determine the normal stress along the length of the pipes. Ignore the bending stresses due to the weight of the pipes and the fluid that they contain.