A shouldered machine shaft is subjected to bending, as shown. The shaft is made from AISI 1015 CD steel with SuT = 390 MPa. For this shaft, D = 200 mm, d = 190 mm, and r = 28.5 mm. Determine the fatigue stress concentration factor using the Neuber Equation. M O a. 1.3607 O b. 1.3308 O c. 1.5186 O d. 1.3698

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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**Educational Content on Fatigue Stress Concentration in Shafts**

**Problem Statement:**

A shouldered machine shaft is subjected to bending, as illustrated. The shaft is constructed from AISI 1015 cold-drawn (CD) steel with an ultimate tensile strength (\(S_{u,T}\)) of 390 MPa. The dimensions for this shaft are specified as follows: the larger diameter \(D = 200 \, \text{mm}\), the smaller diameter \(d = 190 \, \text{mm}\), and the fillet radius \(r = 28.5 \, \text{mm}\). The task is to determine the fatigue stress concentration factor using the Neuber Equation.

**Diagram Explanation:**

The accompanying diagram shows a shaft with two distinct diameters, creating a shoulder. The shaft is subject to a bending moment denoted by \(M\). Dimensions are marked: \(D\) is the diameter of the larger section, \(d\) is the diameter of the smaller section, and the transition between these sections is rounded with a radius \(r\). The arrows indicate the application of bending forces.

**Multiple Choice Options:**

- a. 1.3607
- b. 1.3308
- c. 1.5186
- d. 1.3698

**Objective:**

Using the provided information and applying the Neuber Equation, determine which fatigue stress concentration factor is correct from the given options.
Transcribed Image Text:**Educational Content on Fatigue Stress Concentration in Shafts** **Problem Statement:** A shouldered machine shaft is subjected to bending, as illustrated. The shaft is constructed from AISI 1015 cold-drawn (CD) steel with an ultimate tensile strength (\(S_{u,T}\)) of 390 MPa. The dimensions for this shaft are specified as follows: the larger diameter \(D = 200 \, \text{mm}\), the smaller diameter \(d = 190 \, \text{mm}\), and the fillet radius \(r = 28.5 \, \text{mm}\). The task is to determine the fatigue stress concentration factor using the Neuber Equation. **Diagram Explanation:** The accompanying diagram shows a shaft with two distinct diameters, creating a shoulder. The shaft is subject to a bending moment denoted by \(M\). Dimensions are marked: \(D\) is the diameter of the larger section, \(d\) is the diameter of the smaller section, and the transition between these sections is rounded with a radius \(r\). The arrows indicate the application of bending forces. **Multiple Choice Options:** - a. 1.3607 - b. 1.3308 - c. 1.5186 - d. 1.3698 **Objective:** Using the provided information and applying the Neuber Equation, determine which fatigue stress concentration factor is correct from the given options.
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