Question
Question 13 1 pts An aluminium alloy experiences the loading below: Given its fatigue life data in the graph below, app...
Question 13 1 pts An aluminium alloy experiences the loading below: Given its fatigue life data in the graph below, approximately how long will the aluminium last if the pattern above is repeated every 10secs. Express your answer in hours. 100 450 50 40 250 30 20 140 Min. Median Max 80 10 No. cycles 10 specimens at each level 40 10 Cycles to failure
Answers
In the loading pattern given, 140 MPa stress cycle occurs for 1 sec, 100 MPa stress cycle occurs for 2 sec and 90 MPa stress cycle occurs for 7 sec in the total 10 sec interval.
Stress range in 140 MPa stress cycle = 280 MPa
Stress range in 100 MPa stress cycle = 200 MPa
Stress range in 90 MPa stress cycle = 180 MPa
Probability of occurrence of 280 MPa stress range = 1/10
Probability of occurrence of 200 MPa stress range = 2/10
Probability of occurrence of 180 MPa stress range = 7/10
Effective stress range acting on member in one interval of 10 sec = 280 x 1/10 + 200 x 2/10 + 180 x 7/10 = 194 MPa
Number of cycles to failure = 2 x 104
Time required for failure = 2 x 104 x 10 = 2 x 105 sec = 55.56 hours
100 450 50 40 250 30 20 140 Min Median Max 80 10 No. cycles 10 specimens at each level 10 10 10 10 10 Cycles to failure IS O 40 360
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