The state of stress at a point in a member is shown on the rectangular stress element in (Figure 5) where the magnitudes of the stresses are |σx|=11 ksi, |σy|=31 ksi, and |τxy|=17 ksi. Determine the state of stress on an element rotated 50∘ counterclockwise from the element shown. Answers should be as σx′=, σy′=, τx′y′= in ksi

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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The state of stress at a point in a member is shown on the rectangular stress element in (Figure 5) where the magnitudes of the stresses are |σx|=11 ksi, |σy|=31 ksi, and |τxy|=17 ksi.

Determine the state of stress on an element rotated 50∘ counterclockwise from the element shown.

Answers should be as σx′=, σy′=, τx′y′= in ksi

The image, labeled "Figure 5," illustrates a two-dimensional stress element shown as a square. The diagram represents a section of material subjected to stresses in both the x and y directions, as well as shear stress.

- The horizontal arrows pointing to the right and left outside the square represent the normal stress in the x-direction (σₓ).
- The vertical arrows pointing upwards and downwards outside the square represent the normal stress in the y-direction (σᵧ).
- The arrows at the top and right edges of the square, pointing perpendicular to each other inside the square, illustrate the shear stress (τₓᵧ).

These stress components are used in structural engineering and mechanics to analyze how materials react under various stress conditions.
Transcribed Image Text:The image, labeled "Figure 5," illustrates a two-dimensional stress element shown as a square. The diagram represents a section of material subjected to stresses in both the x and y directions, as well as shear stress. - The horizontal arrows pointing to the right and left outside the square represent the normal stress in the x-direction (σₓ). - The vertical arrows pointing upwards and downwards outside the square represent the normal stress in the y-direction (σᵧ). - The arrows at the top and right edges of the square, pointing perpendicular to each other inside the square, illustrate the shear stress (τₓᵧ). These stress components are used in structural engineering and mechanics to analyze how materials react under various stress conditions.
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