Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN: 9781259696527
Author: J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher: McGraw-Hill Education
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![A 647-lb force is applied to a rotating tool steel bar at a frequency of 3000 cycles/minute. The bar has a diameter of 1.000 in. and is 12.00 in. long. The fatigue curve for the steel used in the bar is shown below. Calculate the time in minutes to failure given:
\[
\pm \sigma = \frac{32FL}{\pi d^3}.
\]
**Graph Explanation:**
The graph is a fatigue curve illustrating the relationship between the applied stress (ksi) and the number of cycles to failure.
- **X-axis**: Number of cycles, ranging from \(1.00 \times 10^4\) to \(1.00 \times 10^8\).
- **Y-axis**: Applied stress in ksi, ranging from 0 to 120.
The curve shows a decreasing trend, indicating that as the number of cycles increases, the applied stress level for failure decreases. The curve flattens as it approaches higher numbers of cycles, suggesting a fatigue limit or endurance limit.](https://content.bartleby.com/qna-images/question/8de9ecd0-3cc9-475b-b184-ad0ee68f5a8e/daa39b75-bcb2-4939-a414-5a9828c2b411/pibbf6n_processed.jpeg)
Transcribed Image Text:A 647-lb force is applied to a rotating tool steel bar at a frequency of 3000 cycles/minute. The bar has a diameter of 1.000 in. and is 12.00 in. long. The fatigue curve for the steel used in the bar is shown below. Calculate the time in minutes to failure given:
\[
\pm \sigma = \frac{32FL}{\pi d^3}.
\]
**Graph Explanation:**
The graph is a fatigue curve illustrating the relationship between the applied stress (ksi) and the number of cycles to failure.
- **X-axis**: Number of cycles, ranging from \(1.00 \times 10^4\) to \(1.00 \times 10^8\).
- **Y-axis**: Applied stress in ksi, ranging from 0 to 120.
The curve shows a decreasing trend, indicating that as the number of cycles increases, the applied stress level for failure decreases. The curve flattens as it approaches higher numbers of cycles, suggesting a fatigue limit or endurance limit.
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