The state of stress at a point in a member is shown on the element. Solve the problem using the stress transformation equations. Take σx= 3.6 ksi, σy= 2.0 ksi, τxy= 4.6 ksi in the directions shown.A) Determinethe normal stress component acting on the inclined plane AB.B) Determine the shear stress component acting on the inclined plane AB. The image is a diagram illustrating stress components acting on a rectangular element. **Description:**- The rectangle has a diagonal line running from the top left corner (A) to the bottom right corner (B).- The diagonal line, AB, is oriented at an angle of 30° from the horizontal axis.**Stress Components:**1. **Normal Stresses (σ):** - \(\sigma_y\): Acts vertically upwards and downwards on the horizontal edges of the rectangle. - \(\sigma_x\): Acts horizontally, pointing to the right and left, on the vertical edges of the rectangle.2. **Shear Stress (τ):** - \(\tau_{xy}\): Acts horizontally to the right on the lower horizontal edge and to the left on the vertical right edge. This diagram is typically used to analyze stress transformations and compute resultant stresses on planes inclined to the principal stress directions.

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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 element. Solve the problem using the stress transformation equations. Take σx= 3.6 ksi, σy= 2.0 ksi, τxy= 4.6 ksi in the directions shown.

A) Determinethe normal stress component acting on the inclined plane AB.

B) Determine the shear stress component acting on the inclined plane AB.

The image is a diagram illustrating stress components acting on a rectangular element.

**Description:**

- The rectangle has a diagonal line running from the top left corner (A) to the bottom right corner (B).
- The diagonal line, AB, is oriented at an angle of 30° from the horizontal axis.

**Stress Components:**

1. **Normal Stresses (σ):**
- \(\sigma_y\): Acts vertically upwards and downwards on the horizontal edges of the rectangle.
- \(\sigma_x\): Acts horizontally, pointing to the right and left, on the vertical edges of the rectangle.

2. **Shear Stress (τ):**
- \(\tau_{xy}\): Acts horizontally to the right on the lower horizontal edge and to the left on the vertical right edge.

This diagram is typically used to analyze stress transformations and compute resultant stresses on planes inclined to the principal stress directions.

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