A plot of the stress Amplitude (S) (MPa) data vs. ersus Log10 Cycles To Failure
ID: 538879 • Letter: A
Question
A plot of the stress Amplitude (S) (MPa) data vs. ersus Log10 Cycles To Failure (N) data is shown below for titanium alloys. The yield strength for the TNTZ2 alloy is 100 MPa and the UTS is 1250 MPa. I need the solutions, thanks.
Faculty of Science 60101 Chemistry& Materials A plot of the Stress Amplitude (S) (MPa) data versus Logto Cycles To Failure (N) data is shown below for titanium alloys. The yield strength for the TNTZ2 alloy is 1100 MPa and the UTS is 1250 MPa. 1000 800 600 400 200 107 10 10 10 Number of cycles to failure 10' 106 16. Determine the Fatigue Strength of alloy TNTZ2 at 10' cycles a) 330 MPa b) 1100 MPa c)) 600 MPa d) 620 MPa e) 800 MPa 17. Determine the fatigue life for a 10 mm diameter bar of TNTZ2 subjected to 63 kN amplitude load. a) 1x104 cycles b) )2 x 105 cycles c) 75,000 cycles d) 10' cycles ll not fail in fatigue 18. For a given application the maximum cyclic stress will be 500 MPa. Which alloy would be most suitable for this application if it is envisaged that the component will need to survive 109 cycles. a) TNTZ b) TNTZ1 c)) TNTZ2 Mid Semester Autumn 2015 Page 7 of 24Explanation / Answer
16) On the given graph mark the point on 107 cycles and extend this line to TNTZ2 , and then
look for the corresponding point on Y-axis. This will be around 600 Mpa
17) use Paris-Erdogan's law to get fatigue life,
Nf = 2 (af(2 - m)/2 - ao(2 - m)/2] / C((2-m)Y 0.5 )m
where af = 1/ [ KIC / r]
ao = 10 mm = 0.01m ; r = 1250Mpa ; KIC - fracture toughness (not given)
Substitute everything into equation to get the answer
18) The curve with maximum cyclic stress exceeding 500Mpa is TNTZ2 therefore we can
say that it can survive 109 cycles of failure.
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