3. For steels, the endurance limit is approximately half of the tensile strength, and the fatigue strength at 10' cycles is approximately 90% of the tensile strength. The S-N curves can be approximated by a straight lines between 10' and 10* cycles when plotted as log(S ) versus log(N). Beyond 10 cycles the curves are horizontal. a) Using the information described above for steels, sketch the salient features of the S-N curve and write a mathematical expression for S as a function of N for the sloping part of the S-N curve. b) A steel part fails in 12,000 cycles. Use the above expression to find what % decrease of applied (cyclic) stress would be necessary to increase in the life of the part by a factor of 2.5 (to 30,000 cycles). c) Alternatively, what % increase in tensile strength would achieve the same increase in life without decreasing the stress?

3. For steels, the endurance limit is approximately half of the tensile strength, and the fatigue strength at 10' cycles is approximately 90% of the tensile strength. The S-N curves can be approximated by a straight lines between 10' and 10* cycles when plotted as log(S ) versus log(N). Beyond 10 cycles the curves are horizontal. a) Using the information described above for steels, sketch the salient features of the S-N curve and write a mathematical expression for S as a function of N for the sloping part of the S-N curve. b) A steel part fails in 12,000 cycles. Use the above expression to find what % decrease of applied (cyclic) stress would be necessary to increase in the life of the part by a factor of 2.5 (to 30,000 cycles). c) Alternatively, what % increase in tensile strength would achieve the same increase in life without decreasing the stress?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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3. For steels, the endurance limit is approximately half of the tensile strength, and the fatigue
strength at 10' cycles is approximately 90% of the tensile strength. The S-N curves can be
approximated by a straight lines between 10' and 10 cycles when plotted as log(S ) versus
log(N). Beyond 10 cycles the curves are horizontal.
a) Using the information described above for steels, sketch the salient features of the S-N curve
and write a mathematical expression for S as a function of N for the sloping part of the S-N
curve.
b) A steel part fails in 12,000 cycles. Use the above expression to find what % decrease of
applied (cyclic) stress would be necessary to increase in the life of the part by a factor of 2.5
(to 30,000 cycles).
c) Alternatively, what % increase in tensile strength would achieve the same increase in life
without decreasing the stress?

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