The state of stress at a point in a member is shown on the rectangular stress element in (Figure 4) where the magnitudes of the stresses are |σx|=137 MPa and |τxy|=70 MPa.Determine the state of stress on an element rotated 85∘ clockwise from the element shown.Answer should be listed as σx′=, σy′=, τx′y′= in MPa ### Figure 4: Stress Components on an ElementThis diagram illustrates a two-dimensional element subjected to stress. The element is represented as a square.#### Components of Stress:- **Normal Stress (\(\sigma_x\)):** - Shown acting on the right face of the element, directed inward, symbolizing tensile or compressive stress along the x-axis. - **Shear Stress (\(\tau_{xy}\)):** - Illustrated on the top and left faces of the element. - The shear stress on the top face is directed to the left. - The shear stress on the left face is directed upward.#### Description:- The diagram represents the concept of stress in mechanics, showing how both normal and shear stresses can act on an elemental portion of a material. This visualization helps in understanding how forces and moments are distributed in solid mechanics.

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The state of stress at a point in a member is shown on the rectangular stress element in (Figure 4) where the magnitudes of the stresses are |σx|=137 MPa and |τxy|=70 MPa. Determine the state of stress on an element rotated 85∘ clockwise from the element shown. Answer should be listed as σx′=, σy′=, τx′y′= in MPa

The state of stress at a point in a member is shown on the rectangular stress element in (Figure 4) where the magnitudes of the stresses are |σx|=137 MPa and |τxy|=70 MPa. Determine the state of stress on an element rotated 85∘ clockwise from the element shown. Answer should be listed as σx′=, σy′=, τx′y′= in MPa

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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The state of stress at a point in a member is shown on the rectangular stress element in (Figure 4) where the magnitudes of the stresses are |σx|=137 MPa and |τxy|=70 MPa.

Determine the state of stress on an element rotated 85∘ clockwise from the element shown.

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

### Figure 4: Stress Components on an Element

This diagram illustrates a two-dimensional element subjected to stress. The element is represented as a square.

#### Components of Stress:
- **Normal Stress (\(\sigma_x\)):**
- Shown acting on the right face of the element, directed inward, symbolizing tensile or compressive stress along the x-axis.
- **Shear Stress (\(\tau_{xy}\)):**
- Illustrated on the top and left faces of the element.
- The shear stress on the top face is directed to the left.
- The shear stress on the left face is directed upward.

#### Description:
- The diagram represents the concept of stress in mechanics, showing how both normal and shear stresses can act on an elemental portion of a material. This visualization helps in understanding how forces and moments are distributed in solid mechanics.

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