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A driver accidentally bumped a fire hydrant creating a bending moment of 620 N·m in the pipe below. The pipe has an inside diameter of 190 mm and a wall thickness of 12 mm and is pressurized to 325 kPa. Determine the largest normal stress along the length of the pipe.

Force P = 41 N is applied to a lever at the end of a 30-mm-diameter shaft. Force Q = 165 N is applied directly to the shaft. Determine the normal stress σy at point H. Let a = 170 mm and b = 225 mm.

Force P = 42 N is applied to a lever at the end of a 31-mm-diameter shaft. Force Q = 195 N is applied directly to the shaft. Determine the magnitude of the shear stress τyz at point K. Let a = 180 mm and b = 235 mm.

A 785 N person stands at the end of a 1.47 m cantilever beam. The beam has a base of 85 mm and a height of 180 mm. Determine the maximum bending stress in the beam.

Force P = 40 N is applied to a lever at the end of a 31-mm-diameter shaft. Force Q = 135 N is applied directly to the shaft. Determine the normal stress σy at point H. Let a = 140 mm and b = 220 mm.

Force P = 46 N is applied to a lever at the end of a 35-mm-diameter shaft. Force Q = 155 N is applied directly to the shaft. Determine the normal stress σy at point H. Let a = 130 mm and b = 230 mm.

Force P = 42 N is applied to a lever at the end of a 32-mm-diameter shaft. Force Q = 125 N is applied directly to the shaft. Determine the normal stress σy at point H. Let a = 140 mm and b = 240 mm.

A 810 N person stands in the middle of a 2.31 m simply-supported beam. The beam has a base of 90 mm and a height of 180 mm. Determine the maximum horizontal shear stress in the beam.

A 800 N person stands in the middle of a 2.64 m simply-supported beam. The beam has a base of 95 mm and a height of 165 mm. Determine the maximum horizontal shear stress in the beam.

Consider density dependence as it relates to populations 1) briefly explain positive density dependence is (2.0 pts) 2) briefly explain negative density dependence is (2.0 pts) 3) Are positive and negative density dependence always mutually exclusive throughout the existence of a population? Explain your answer (4.0 pts)