1. A rotating 1-in diameter solid round bar has a groove 0.1-in deep with a 0.1-radius machined into it. The bar is made of AISI 1020 CD steel and is subjected to a purely reversing torque of 1800 lbf-in. For the S-N curve of the material, let f= 0.9. 1) Estimate the number of cycles to failure. 2) If the bar is also placed in an environment with a temperature of 750 °F, estimate the number of cycles to failure.

Mechanics of Materials (MindTap Course List)
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ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter3: Torsion
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Problem 3.8.9P: Two sections of steel drill pipe, joined by bolted flange plates at B, arc subjected to a...
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1. A rotating l-in diameter solid round bar has a groove 0.1-in deep with a 0.1-radius machined
into it. The bar is made of AISI 1020 CD steel and is subjected to a purely reversing torque of
1800 lbf-in. For the S-N curve of the material, let f= 0.9.
1) Estimate the number of cycles to failure.
2) If the bar is also placed in an environment with a temperature of 750 °F, estimate the number
of cycles to failure.
Note: for pure shear stress state, find ta and Tm to replace oa and om. Apply the load factor k. =
0.59. To get safety factor against first-cycle yielding, use Sgy=0.577 Sy (based on DE theory).
For fatigue life or fatigue failure criteria, Replace Sut with Sgu. Ssu = 0.67Sµt
Transcribed Image Text:1. A rotating l-in diameter solid round bar has a groove 0.1-in deep with a 0.1-radius machined into it. The bar is made of AISI 1020 CD steel and is subjected to a purely reversing torque of 1800 lbf-in. For the S-N curve of the material, let f= 0.9. 1) Estimate the number of cycles to failure. 2) If the bar is also placed in an environment with a temperature of 750 °F, estimate the number of cycles to failure. Note: for pure shear stress state, find ta and Tm to replace oa and om. Apply the load factor k. = 0.59. To get safety factor against first-cycle yielding, use Sgy=0.577 Sy (based on DE theory). For fatigue life or fatigue failure criteria, Replace Sut with Sgu. Ssu = 0.67Sµt
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