(11) What is the modulus of resilience for the material with the stress-strain d
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Question
(11) What is the modulus of resilience for the material with the stress-strain diagram shown below? 0.02 kips-in/in (b) 0.03 kips in/in (c) 0.04 kips in/in (d) 0.05 kips in/in (e) 0.06 kips in/in (1 0.07 kips in/in o(ksi) 80 70 60 50 40 30 20 10 e (in./in.) 0 0.04 0.08 0.12 0.16 0.20 0.24 0.28 0 0.0005 0001 0.0015 0.002 0.0025 0.0030.0035 If the material with the stress-strain diagram shown above (E 40,000 ksi) is stretched to a strain of 0.04, has the material yielded? and what is the approximately corresponding stress? (a) No, 1600 ksi (b) Yes, 1600 ksi (c) No, 20 ksi d) Yes, 20 ksi eNo, 60 ksi (f) Yes, 60 ksiExplanation / Answer
yield strength is not particularly given, so draw an offset at 0.2% strain, i.e. 0.002 strain as shown in the figure. It is clear that the yield strength = 44 ksi,
Now the given stress corresponding to 0.04 strain is 58 ksi (near to 60 ksi), so definitely material has yielded. Please note that yield stress is different from ultimate strength, which is around 78 ksi (from the graph).
Answer: (f) yes, 60 ksi.
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