**Problem Statement:** A component with a rectangular cross-section measuring 25 mm by 75 mm is subject to a torsional moment of 20 kN·m about its axis and a compressive force of 400 kN along its axis. The component is made of aluminum, with a yield strength of 200 MPa in tension and 250 MPa in compression. Determine the safety factor using all applicable theories. **Detailed Explanation:** - **Cross-Section Specifications:** The component has a rectangular cross-section with dimensions of 25 mm and 75 mm. - **Forces Applied:** - **Torsional Moment:** The component experiences a torsional moment of 20 kN·m. - **Compressive Force:** A compressive force of 400 kN acts along the axis of the component. - **Material Properties:** The component is composed of aluminum: - Yield strength in tension: 200 MPa - Yield strength in compression: 250 MPa - **Objective:** Calculate the safety factor using all relevant theories, which may include Von Mises, Tresca, and other applicable stress analysis approaches. **Note:** The problem does not provide any diagrams or graphs. Therefore, a detailed verbal explanation is given for clarity.
**Problem Statement:** A component with a rectangular cross-section measuring 25 mm by 75 mm is subject to a torsional moment of 20 kN·m about its axis and a compressive force of 400 kN along its axis. The component is made of aluminum, with a yield strength of 200 MPa in tension and 250 MPa in compression. Determine the safety factor using all applicable theories. **Detailed Explanation:** - **Cross-Section Specifications:** The component has a rectangular cross-section with dimensions of 25 mm and 75 mm. - **Forces Applied:** - **Torsional Moment:** The component experiences a torsional moment of 20 kN·m. - **Compressive Force:** A compressive force of 400 kN acts along the axis of the component. - **Material Properties:** The component is composed of aluminum: - Yield strength in tension: 200 MPa - Yield strength in compression: 250 MPa - **Objective:** Calculate the safety factor using all relevant theories, which may include Von Mises, Tresca, and other applicable stress analysis approaches. **Note:** The problem does not provide any diagrams or graphs. Therefore, a detailed verbal explanation is given for clarity.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:**Problem Statement:**
A component with a rectangular cross-section measuring 25 mm by 75 mm is subject to a torsional moment of 20 kN·m about its axis and a compressive force of 400 kN along its axis. The component is made of aluminum, with a yield strength of 200 MPa in tension and 250 MPa in compression. Determine the safety factor using all applicable theories.
**Detailed Explanation:**
- **Cross-Section Specifications:** The component has a rectangular cross-section with dimensions of 25 mm and 75 mm.
- **Forces Applied:**
- **Torsional Moment:** The component experiences a torsional moment of 20 kN·m.
- **Compressive Force:** A compressive force of 400 kN acts along the axis of the component.
- **Material Properties:** The component is composed of aluminum:
- Yield strength in tension: 200 MPa
- Yield strength in compression: 250 MPa
- **Objective:** Calculate the safety factor using all relevant theories, which may include Von Mises, Tresca, and other applicable stress analysis approaches.
**Note:** The problem does not provide any diagrams or graphs. Therefore, a detailed verbal explanation is given for clarity.
Expert Solution
Step 1
Data given -
Rectangular cross section 225×75 mm2
Torsional moment = 20kN
Axial Compressive force = 400kN
Yield strength = 200 Mpa (tension)
Yield strength = 250 Mpa (compression)
Step 2
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