The state of stress at a point in a member is shown on the rectangular stress element in (Figure 6) where the magnitudes of the stresses are |σx|=19 ksi and |σy|=14 ksi.Determine the state of stress on an element rotated such that the +x′ axis is 40∘ below the −x axis of the original stress element.Answer should be as σx′=, σy′=, τx′y′= in ksi **Figure 6: Stress Components on a Material Element**This diagram represents a square element under uniform stress. The square is shown in a horizontal orientation with stress components acting upon it. - **σx**: The stress acting along the horizontal (x-axis) direction. It is indicated by arrows pointing towards and away from the center of the square on the left and right sides. - **σy**: The stress acting along the vertical (y-axis) direction. It is depicted by arrows pointing towards and away from the center of the square on the top and bottom sides.This figure illustrates the general concept of normal stress acting on a planar element. The stress is assumed to be uniform, indicating no change in magnitude across each side of the square. Arrows denote the direction of the stress vectors acting on the element.

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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The state of stress at a point in a member is shown on the rectangular stress element in (Figure 6) where the magnitudes of the stresses are |σx|=19 ksi and |σy|=14 ksi.

Determine the state of stress on an element rotated such that the +x′ axis is 40∘ below the −x axis of the original stress element.

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

**Figure 6: Stress Components on a Material Element**

This diagram represents a square element under uniform stress. The square is shown in a horizontal orientation with stress components acting upon it.

- **σx**: The stress acting along the horizontal (x-axis) direction. It is indicated by arrows pointing towards and away from the center of the square on the left and right sides.

- **σy**: The stress acting along the vertical (y-axis) direction. It is depicted by arrows pointing towards and away from the center of the square on the top and bottom sides.

This figure illustrates the general concept of normal stress acting on a planar element. The stress is assumed to be uniform, indicating no change in magnitude across each side of the square. Arrows denote the direction of the stress vectors acting on the element.

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