Y Submit Part D-Clockwise Rotation of a Stress Element with No Shear Stress The state of stress at a point in a member is shown on the rectangular stress element in (Eigure 6) where the magnitudes of the stresses are lo₂-13 ksi and lo, 12 ksi Determine the state of stress on an element rotated such that the +2' axis is 60° below the - axis of the original stress element. Express your answers, separated by commas, to three significant figures. View Available Hint(s) Ợ Uy Tây Submit < Return to Assignment LIVE ΑΣΦ. 11 | vec Provide Feedback 1 ksi, ksi, ksi a ? ksi, ksi, ksi 2 W + W {0 Figure ▼ Part A State of Stress on an Inclined Plane 0₂ < 6 of 6 >

Elements Of Electromagnetics
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**Topic: Clockwise Rotation of a Stress Element with No Shear Stress**

**Part D:**

The state of stress at a point in a member is shown on the rectangular stress element in the figure. The magnitudes of the stresses are \(\sigma_x = 13 \, \text{ksi}\) and \(\sigma_y = 12 \, \text{ksi}\).

Determine the state of stress on an element rotated such that the \(+x'\) axis is \(60^\circ\) below the \(-x\) axis of the original stress element.

**Instructions:**

Express your answers, separated by commas, to three significant figures.

[**Hint Section Available**]

**Input Fields for Solutions:**

\[ \sigma_{x'} \), \sigma_{y'}, τ_{x'y'} = \quad \text{ksi, ksi, ksi} 

[Submit Button Below]

---

**Figure Explanation:**

The figure represents a rectangular stress element with:

- \(\sigma_x\) acting horizontally to the right,
- \(\sigma_y\) acting vertically downward. 

This is to assess the stresses resulting from rotation, crucial for understanding stress transformations in materials.

---

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Transcribed Image Text:**Topic: Clockwise Rotation of a Stress Element with No Shear Stress** **Part D:** The state of stress at a point in a member is shown on the rectangular stress element in the figure. The magnitudes of the stresses are \(\sigma_x = 13 \, \text{ksi}\) and \(\sigma_y = 12 \, \text{ksi}\). Determine the state of stress on an element rotated such that the \(+x'\) axis is \(60^\circ\) below the \(-x\) axis of the original stress element. **Instructions:** Express your answers, separated by commas, to three significant figures. [**Hint Section Available**] **Input Fields for Solutions:** \[ \sigma_{x'} \), \sigma_{y'}, τ_{x'y'} = \quad \text{ksi, ksi, ksi} [Submit Button Below] --- **Figure Explanation:** The figure represents a rectangular stress element with: - \(\sigma_x\) acting horizontally to the right, - \(\sigma_y\) acting vertically downward. This is to assess the stresses resulting from rotation, crucial for understanding stress transformations in materials. --- **Navigation Links:** - Return to Assignment - Provide Feedback
## Part C - Counterclockwise Rotation of a Stress Element

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: 

- \(\sigma_x = 16 \, \text{ksi}\) 
- \(\sigma_y = 29 \, \text{ksi}\) 
- \(\tau_{xy} = 8 \, \text{ksi}\)

Determine the state of stress on an element rotated \(50^\circ\) counterclockwise from the element shown.

**Instructions:**
Express your answers, separated by commas, to three significant figures.

**Input Box:**
The user is prompted to enter the rotated stress values in the form: \(\sigma_x', \sigma_y', \tau_{xy}'\) in \(\text{ksi}\).

## Part D - Clockwise Rotation of a Stress Element with No Shear Stress

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: 

- \(\sigma_x' = 13 \, \text{ksi}\) 
- \(\sigma_y' = 12 \, \text{ksi}\)

---

## Figure Explanation

The illustrated figure represents a rectangular stress element with applied stresses, depicted as follows:

- The horizontal and vertical arrows indicate normal stresses \(\sigma_x\) and \(\sigma_y\).
- The diagonal arrow represents shear stress \(\tau_{xy}\). 

The element serves as a visual aid for understanding how stresses act on different planes of the element and how they transform when the element is rotated.

This educational resource supports the understanding of stress transformations in mechanics of materials.
Transcribed Image Text:## Part C - Counterclockwise Rotation of a Stress Element 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: - \(\sigma_x = 16 \, \text{ksi}\) - \(\sigma_y = 29 \, \text{ksi}\) - \(\tau_{xy} = 8 \, \text{ksi}\) Determine the state of stress on an element rotated \(50^\circ\) counterclockwise from the element shown. **Instructions:** Express your answers, separated by commas, to three significant figures. **Input Box:** The user is prompted to enter the rotated stress values in the form: \(\sigma_x', \sigma_y', \tau_{xy}'\) in \(\text{ksi}\). ## Part D - Clockwise Rotation of a Stress Element with No Shear Stress 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: - \(\sigma_x' = 13 \, \text{ksi}\) - \(\sigma_y' = 12 \, \text{ksi}\) --- ## Figure Explanation The illustrated figure represents a rectangular stress element with applied stresses, depicted as follows: - The horizontal and vertical arrows indicate normal stresses \(\sigma_x\) and \(\sigma_y\). - The diagonal arrow represents shear stress \(\tau_{xy}\). The element serves as a visual aid for understanding how stresses act on different planes of the element and how they transform when the element is rotated. This educational resource supports the understanding of stress transformations in mechanics of materials.
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