ME211 HW#9 Due: 03/13/09 12-25 The man has a mass of 78 kg and stands motionless at the end of the diving board. If the board has the cross section shown, determine the maximum normal strain developed in the board. The modulus of elasticity for the material is E =125 GPa. Assume A is a pin and B is a roller. Solution: The maximum moment occurs at support B. the maximum moment is determined using the method of sections. 12.46 Determine the maximum tensile and compressive bending stress in the beam if it is subjected to a moment of M=2 kip.ft. Solution: ?? = 2 12 (0.96875)1.91471 = 12.14 ??? (Ans.) ?? = 2 12 (1.53125 )1.91471 = 19.2 ??? (Ans.) 12.51 The pin is used to connect the tree links together. Due to wear, the load is distributed over the top and bottom of the pin as shown on the free-body diagram. If the diameter of the pin is 0.40 in., determine the maximum bending stress on the cross-sectional area. For the solution it is first necessary to determine the load intensities w1 and w2 and then draw the moment diagram. Solution: 14.2 The open-ended polyvinyl chloride pipe has an inner diameter of 4 in. and thickness of 0.2 in. If it carries flowing water at 60 psi pressure, determine the state of stress in the walls of the pipe. Solution: Jinjin Ma
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