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In the figure shown, shaft A, made of AISI 1020 hot-rolled steel, is welded to a fixed support and is subjected to loading by equal and opposite forces F via shaft B. A theoretical stress-concentration factor K„ of 1.6 is induced in the shaft by the -in weld fillet. The length of shaft A from the fixed support to the connection at shaft B is 2 ft. The load F cycles from 150 to 500 lbf. (a) For shaft A, find the factor of safety for infinite life using the Goodman fatigue failure criterion. (b) Repeat part (a) using the Gerber fatigue failure criterion.

In the figure shown, shaft A, made of AISI 1020 hot-rolled steel, is welded to a fixed support and is subjected to loading by equal and opposite forces F via shaft B. A theoretical stress-concentration factor K„ of 1.6 is induced in the shaft by the -in weld fillet. The length of shaft A from the fixed support to the connection at shaft B is 2 ft. The load F cycles from 150 to 500 lbf. (a) For shaft A, find the factor of safety for infinite life using the Goodman fatigue failure criterion. (b) Repeat part (a) using the Gerber fatigue failure criterion.

Elements Of Electromagnetics
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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**Problem 6-56** In the figure shown, shaft A, made of AISI 1020 hot-rolled steel, is welded to a fixed support and is subjected to loading by equal and opposite forces \( F \) via shaft B. A theoretical stress-concentration factor \( K_t \) of 1.6 is induced in the shaft by the \( \frac{1}{8} \)-in weld fillet. The length of shaft A from the fixed support to the connection at shaft B is 2 ft. The load \( F \) cycles from 150 to 500 lbf. **Tasks:** (a) For shaft A, find the factor of safety for infinite life using the Goodman fatigue failure criterion. (b) Repeat part (a) using the Gerber fatigue failure criterion. **Diagram Explanation:** - The diagram depicts a shaft system involving two primary shafts: Shaft A and Shaft B. - Shaft A is horizontally oriented and connected to a fixed support on the left. It extends 2 feet to where Shaft B is attached. - Shaft B extends perpendicularly from Shaft A. - Forces \( F \) are applied in opposite directions along Shaft B. - Dimensions noted in the illustration include: - Shaft A: 7/8-inch diameter - Shaft B: 1-inch length - Fillet size at the weld: 1/8 inch These details are essential for analyzing the fatigue factors according to the specified criteria.
Transcribed Image Text:**Problem 6-56** In the figure shown, shaft A, made of AISI 1020 hot-rolled steel, is welded to a fixed support and is subjected to loading by equal and opposite forces \( F \) via shaft B. A theoretical stress-concentration factor \( K_t \) of 1.6 is induced in the shaft by the \( \frac{1}{8} \)-in weld fillet. The length of shaft A from the fixed support to the connection at shaft B is 2 ft. The load \( F \) cycles from 150 to 500 lbf. **Tasks:** (a) For shaft A, find the factor of safety for infinite life using the Goodman fatigue failure criterion. (b) Repeat part (a) using the Gerber fatigue failure criterion. **Diagram Explanation:** - The diagram depicts a shaft system involving two primary shafts: Shaft A and Shaft B. - Shaft A is horizontally oriented and connected to a fixed support on the left. It extends 2 feet to where Shaft B is attached. - Shaft B extends perpendicularly from Shaft A. - Forces \( F \) are applied in opposite directions along Shaft B. - Dimensions noted in the illustration include: - Shaft A: 7/8-inch diameter - Shaft B: 1-inch length - Fillet size at the weld: 1/8 inch These details are essential for analyzing the fatigue factors according to the specified criteria.
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