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. Iong. The fatigue curve for the steel used in the bar is shown below. Calculate the time in minutes to 32FL failure given +o nd3 120 110 100 90 80 70 ss (ksi)
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. Iong. The fatigue curve for the steel used in the bar is shown below. Calculate the time in minutes to 32FL failure given +o nd3 120 110 100 90 80 70 ss (ksi)
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:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8de9ecd0-3cc9-475b-b184-ad0ee68f5a8e%2Fdaa39b75-bcb2-4939-a414-5a9828c2b411%2Fpibbf6n_processed.jpeg&w=3840&q=75)
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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