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.

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.

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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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

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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

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