**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 inchThese details are essential for analyzing the fatigue factors according to the specified criteria.

Given data As shown in following figure , shaft A made of also 1020 hot rolled steel is welded to a…

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

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

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

**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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