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60 MPa A 80 MPa 50°

60 MPa A 80 MPa 50°

Elements Of Electromagnetics
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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Determine the stress components acting on the inclined plane AB in (Figure 1), where τxy=−35.5MPa. Solve the problem using the stress transformation equations.

The image illustrates a square element subjected to two different normal stresses, demonstrating stress analysis in a solid mechanics context. Key features of the diagram include: 1. **Square Element**: The central figure in the diagram is a square, representing the material element under stress. 2. **Normal Stresses**: - A vertical normal stress of 60 MPa is applied to the top and bottom faces of the square. - A horizontal normal stress of 80 MPa is applied to the left and right faces of the square. 3. **Stress Axes**: - There is an oblique line, labeled \(AB\), that is oriented diagonally across the square. The angle between line \(AB\) and the horizontal axis is marked as 50°. 4. **Arrows indicating Stress Direction**: - Arrows are used to indicate the direction of the applied stresses. The vertical stress arrows act in the upward (compressive) and downward (compressive) directions. - Horizontal stress arrows act inwards from both the left and right sides, indicating a compressive nature as well. This setup is commonly used to analyze the state of stress at a point, particularly to understand how stresses transform under various orientations and to assess the resulting shear and normal stresses along different planes, such as the plane defined by the \(AB\) line in this case.
Transcribed Image Text:The image illustrates a square element subjected to two different normal stresses, demonstrating stress analysis in a solid mechanics context. Key features of the diagram include: 1. **Square Element**: The central figure in the diagram is a square, representing the material element under stress. 2. **Normal Stresses**: - A vertical normal stress of 60 MPa is applied to the top and bottom faces of the square. - A horizontal normal stress of 80 MPa is applied to the left and right faces of the square. 3. **Stress Axes**: - There is an oblique line, labeled \(AB\), that is oriented diagonally across the square. The angle between line \(AB\) and the horizontal axis is marked as 50°. 4. **Arrows indicating Stress Direction**: - Arrows are used to indicate the direction of the applied stresses. The vertical stress arrows act in the upward (compressive) and downward (compressive) directions. - Horizontal stress arrows act inwards from both the left and right sides, indicating a compressive nature as well. This setup is commonly used to analyze the state of stress at a point, particularly to understand how stresses transform under various orientations and to assess the resulting shear and normal stresses along different planes, such as the plane defined by the \(AB\) line in this case.
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