10. The fatigue data for a brass alloy are given as follows:

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
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**Fatigue Data for a Brass Alloy**

The following table presents fatigue data for a brass alloy, illustrating the relationship between stress amplitude and cycles to failure.

| Stress Amplitude (MPa) | Cycles to Failure  |
|------------------------|--------------------|
| 170                    | 3.7 × 10⁴          |
| 148                    | 1.0 × 10⁵          |
| 130                    | 3.0 × 10⁵          |
| 114                    | 1.0 × 10⁶          |
| 92                     | 1.0 × 10⁷          |
| 80                     | 1.0 × 10⁸          |
| 74                     | 1.0 × 10⁹          |

**Tasks:**

(a) Create an S–N plot (stress amplitude versus the logarithm of cycles to failure) using the provided data.

(b) Determine the fatigue strength at 4 × 10⁶ cycles.

(c) Calculate the fatigue life for a stress amplitude of 120 MPa.
Transcribed Image Text:**Fatigue Data for a Brass Alloy** The following table presents fatigue data for a brass alloy, illustrating the relationship between stress amplitude and cycles to failure. | Stress Amplitude (MPa) | Cycles to Failure | |------------------------|--------------------| | 170 | 3.7 × 10⁴ | | 148 | 1.0 × 10⁵ | | 130 | 3.0 × 10⁵ | | 114 | 1.0 × 10⁶ | | 92 | 1.0 × 10⁷ | | 80 | 1.0 × 10⁸ | | 74 | 1.0 × 10⁹ | **Tasks:** (a) Create an S–N plot (stress amplitude versus the logarithm of cycles to failure) using the provided data. (b) Determine the fatigue strength at 4 × 10⁶ cycles. (c) Calculate the fatigue life for a stress amplitude of 120 MPa.
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