HW11_StressConc&Goodman.pdf - Name ME3614 Mechanical...

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Name: __________________________________________ ME3614 Mechanical Design I Fall Semester 2017 Homework #11 due Thursday, October 12 1. We would like to design a stepped shaft (see below) to withstand a force that fluctuates between 1,000 lbs in tension and 500 lbs in compression. The dimensions for the bar (labeled in Appendix A-15-7 below) are: r = 0.125 inches; d = 1.0 inches; and D = 1.50 inches. Find the theoretical stress concentration for static loading, Kt, for the groove using the chart above. Show the values you used to determine Kt. Kt = _____________ a) For the worst case static loading (F = 1,000 lb), find the maximum actual stress in the shaft for both a brittle and a ductile material at the stress concentration. Show work. s nom = _______________ s max (ductile): _______________ s max (brittle): _______________ b) For fatigue loading (F varies between -500 lbs and 1,000 lbs), find the maximum nominal mean and alternating stresses at the stress concentration. Show all work. s mean,nom = _________________ s alt,nom = _________________
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2 c) For fatigue loading, find the actual mean and alternating stresses at the stress concentration if the part is to be made from a ductile aluminum alloy. Show all work.
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