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A rectangular cross section bar with a height h = 2 + (XY/50) in and a base b = 2 (XY/200) in, in the
A rectangular cross section bar with a height h = 2 + (XY/50) in and a base b = 2 (XY/200) in, in the orientation shown below is subject to a completely reversed internal bending moment that cycles from + 70 kip-in to - 70 kip-in at a service temperature of 750 F. The bar has a machined surface and has a 0.08 in radius notch with the theoretical stress concentration of K = 1.8. At room temperature the strength of the steel is S = 120 + (XY/3) kpsi. ut a) With a 90% reliability estimate the endurance strength of the part at a temperature of 750 F. Hint: this is a square cross-section in non-rotating bending. [6 pt] 3 b) What is the fatigue strength of this part if it is to survive N = (55 + XY) * 10 cycles at 750 F? [4 pt] c) What is the fatigue life of this part at 750 F and at the specified loading. [5 pt] d) Draw a full scale S-N Diagram at 750 F showing (w. labels) all relevant results from this problem. [5 pt] 3.28 in, S ut = 2-(XY/200) in = b 0.08 in notch radius ? M = 70 kip-in Here, XY is a variable that is the last two digits of your student number. For example, if your student number is 442233564 then XY = 64, and as per the question b = 2 (64/200) = 1.68 in, h = 2 + (64/50) = 120 + (64/3) = 141.3 kpsi, and N = (55 +64) * 10 = 119,000 cycles. 3 h h = 2 + (XY/50) in th Please use 11 Ed values for this question, which are in your notes and provided at the end of this test. Note: 1 kip = 1000 lbf
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