Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Transcribed Image Text:### Stress Analysis in Materials
#### Figure (e)
This diagram illustrates the multi-axial stress components acting on a material denoted by "E". The following stress components are present:
- \( \sigma_y = 30 \) MPa: This is the normal stress acting in the vertical direction.
- \( \sigma_x = 120 \) MPa: This is the normal stress acting in the horizontal direction.
- \( \tau_{xy} = 85 \) MPa: This is the shear stress acting on the material.
The diagram shows these stresses as follows:
- The vertical arrow pointing upwards represents the normal stress \( \sigma_y \).
- The horizontal arrow pointing leftwards represents the normal stress \( \sigma_x \).
- The arrow tangential to the vertical face of the block represents the shear stress \( \tau_{xy} \).
#### Figure (f)
This diagram shows a different set of multi-axial stress components acting on the same material "E". The stress components are:
- \( \sigma_y = 80 \) MPa: This is the normal stress acting in the vertical direction.
- \( \sigma_x = 30 \) MPa: This is the normal stress acting in the horizontal direction.
- \( \tau_{xy} = 15 \) MPa: This is the shear stress acting on the material.
The diagram shows these stresses as follows:
- The vertical arrow pointing downwards represents the normal stress \( \sigma_y \).
- The horizontal arrow pointing leftwards represents the normal stress \( \sigma_x \).
- The arrow tangential to the vertical face of the block represents the shear stress \( \tau_{xy} \).
These diagrams are crucial in understanding how different stress components interact and influence the behavior of a material under various load conditions.
Transcribed Image Text:For each of the elements shown below, draw Mohr’s circle and determine the principal stresses (\(\sigma_1, \sigma_2, \sigma_3\)). In addition, determine the maximum shear stress (\(\tau_{max}\)).
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