**Fatigue Data for a Steel Alloy**The table below presents the fatigue data for a steel alloy, displaying the relationship between stress amplitude and cycles to failure.| Stress Amplitude [MPa (ksi)] | Cycles to Failure ||-----------------------------|-------------------|| 470 (68.0) | \(10^4\) || 440 (63.4) | \(3 \times 10^4\) || 390 (56.2) | \(10^5\) || 350 (51.0) | \(3 \times 10^5\) || 310 (45.3) | \(10^6\) || 290 (42.2) | \(3 \times 10^6\) || 290 (42.2) | \(10^7\) || 290 (42.2) | \(10^8\) |**Task (a):**Create an S–N plot that graphs stress amplitude against the logarithm of cycles to failure based on the data provided. The S–N plot, also known as the Wöhler curve, visually demonstrates the relationship between the number of cycles to failure and the magnitude of cyclic stress amplitude. (b) What is the fatigue limit for this alloy?(c) Determine fatigue lifetimes at stress amplitudes of 415 MPa (60,000 psi) and 275 MPa (40,000 psi).(d) Estimate fatigue strengths at \(2 \times 10^4\) and \(6 \times 10^5\) cycles.

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8.24 The fatigue data for a steel alloy are given as follows: Stress Amplitude [MPa (ksi)] Cycles to Failure 470 (68.0) 104 440 (63.4) 390 (56.2) 3 x 104 105 350 (51.0) 3 x 10 310 (45.3) 106 3 x 106 290 (42.2) 290 (42.2) 107 290 (42.2) 10 (a) Make an S-N plot (stress amplitude versus logarithm of cycles to failure) using these data.

8.24 The fatigue data for a steel alloy are given as follows: Stress Amplitude [MPa (ksi)] Cycles to Failure 470 (68.0) 104 440 (63.4) 390 (56.2) 3 x 104 105 350 (51.0) 3 x 10 310 (45.3) 106 3 x 106 290 (42.2) 290 (42.2) 107 290 (42.2) 10 (a) Make an S-N plot (stress amplitude versus logarithm of cycles to failure) using these data.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Thermal Properties of Materials

In mechanical engineering, the thermal property is represented as the physical quantity that is relevant to the application of heat. The thermal properties are evaluated by variations in any specific material due to low heat or high heat. The quantities that influence the thermal property of the materials are mass, density, temperature, and many others.

Question

**Fatigue Data for a Steel Alloy**

The table below presents the fatigue data for a steel alloy, displaying the relationship between stress amplitude and cycles to failure.

| Stress Amplitude [MPa (ksi)] | Cycles to Failure |
|-----------------------------|-------------------|
| 470 (68.0) | \(10^4\) |
| 440 (63.4) | \(3 \times 10^4\) |
| 390 (56.2) | \(10^5\) |
| 350 (51.0) | \(3 \times 10^5\) |
| 310 (45.3) | \(10^6\) |
| 290 (42.2) | \(3 \times 10^6\) |
| 290 (42.2) | \(10^7\) |
| 290 (42.2) | \(10^8\) |

**Task (a):**

Create an S–N plot that graphs stress amplitude against the logarithm of cycles to failure based on the data provided.

The S–N plot, also known as the Wöhler curve, visually demonstrates the relationship between the number of cycles to failure and the magnitude of cyclic stress amplitude.

(b) What is the fatigue limit for this alloy?

(c) Determine fatigue lifetimes at stress amplitudes of 415 MPa (60,000 psi) and 275 MPa (40,000 psi).

(d) Estimate fatigue strengths at \(2 \times 10^4\) and \(6 \times 10^5\) cycles.

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