need help with this Mechanics of Materials ### Problem 9.51#### In (Figure 1), \(\tau_{xy} = 55.3 \, \text{MPa}\).---### Figure:**Description:**The figure depicts a square element subjected to various stresses. The following stresses are labeled:- A vertical tensile stress of \( 80 \, \text{MPa} \) acting normally on the top face of the element.- Directions of the stresses are indicated with arrows.---### Part A:**Objective:**Determine the principal stresses. Specify the orientation of the element.**Instructions:**Express your answers, separated by commas, to three significant figures. Choose the angle from the half-interval \([-90^\circ, 90^\circ]\).**Input Format:**\[\sigma_1, \, \sigma_2, \, \theta_{p1} = \, \text{MPa}, \, \text{MPa}, \, ^\circ\]---### Part B:**Objective:**Determine the maximum in-plane shear stress and average normal stress. Specify the orientation of the element.**Instructions:**Express your answers, separated by commas, to three significant figures. Choose the angle from the half-interval \([-90^\circ, 90^\circ]\).**Input Format:**\[\tau_{\text{max in-plane}}, \, \sigma_{\text{avg}}, \, \theta_s = \, \text{MPa}, \, \text{MPa}, \, ^\circ\]---### Notes:To solve Part A and Part B:1. **Principal Stresses and Orientation (Part A):** - Use the given stress values, including \(\tau_{xy}\) and normal stress, to calculate \(\sigma_1\) and \(\sigma_2\) using the appropriate formulas. - Determine the angle \(\theta_{p1}\) at which these stresses occur.2. **Maximum In-plane Shear Stress and Average Normal Stress (Part B):** - Use the stresses to find the maximum shear stress \(\tau_{\text{max in-plane}}\). - Calculate the average normal stress \(\sigma_{\text{avg}}\). - Determine the angle \(\theta_s\) for the maximum shear stress orientation.Submit your calculations in the provided space and ensure accuracy to three

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Problem 9.51 In (Figure 1), Tzy = 55.3 MPa. Figure 80 MPa 1 of 1 > Part A Determine the principal stresses. Specify the orientation of the element. Express your answers, separated by commas, to three significant figures. Choose the angle from the half-interval (-90°; 90°]. —| ΑΣΦ11 | vec ? 01, 02, 0p1 = MPa, MPa, ° Submit Request Answer Part B Determine the maximum in-plane shear stress and average normal stress. Specify the orientation of the element. Express your answers, separated by commas, to three significant figures. Choose the angle from the half-interval (-90°; 90°]. Π| ΑΣΦ ↓↑ vec ? Tmax=, davg=, 0s = in-plane MPa, MPa, ° Submit Request Answer 6 of 13 <) Review

Problem 9.51 In (Figure 1), Tzy = 55.3 MPa. Figure 80 MPa 1 of 1 > Part A Determine the principal stresses. Specify the orientation of the element. Express your answers, separated by commas, to three significant figures. Choose the angle from the half-interval (-90°; 90°]. —| ΑΣΦ11 | vec ? 01, 02, 0p1 = MPa, MPa, ° Submit Request Answer Part B Determine the maximum in-plane shear stress and average normal stress. Specify the orientation of the element. Express your answers, separated by commas, to three significant figures. Choose the angle from the half-interval (-90°; 90°]. Π| ΑΣΦ ↓↑ vec ? Tmax=, davg=, 0s = in-plane MPa, MPa, ° Submit Request Answer 6 of 13 <) Review

Elements Of Electromagnetics

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Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Thermal Properties of Materials

In mechanical engineering, the thermal property is represented as the physical quantity that is relevant to the application of heat. The thermal properties are evaluated by variations in any specific material due to low heat or high heat. The quantities that influence the thermal property of the materials are mass, density, temperature, and many others.

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need help with this Mechanics of Materials

### Problem 9.51

#### In (Figure 1), \(\tau_{xy} = 55.3 \, \text{MPa}\).

---

### Figure:
**Description:**
The figure depicts a square element subjected to various stresses. The following stresses are labeled:
- A vertical tensile stress of \( 80 \, \text{MPa} \) acting normally on the top face of the element.
- Directions of the stresses are indicated with arrows.

---

### Part A:
**Objective:**
Determine the principal stresses. Specify the orientation of the element.

**Instructions:**
Express your answers, separated by commas, to three significant figures. Choose the angle from the half-interval \([-90^\circ, 90^\circ]\).

**Input Format:**
\[
\sigma_1, \, \sigma_2, \, \theta_{p1} = \, \text{MPa}, \, \text{MPa}, \, ^\circ
\]

---
### Part B:
**Objective:**
Determine the maximum in-plane shear stress and average normal stress. Specify the orientation of the element.

**Instructions:**
Express your answers, separated by commas, to three significant figures. Choose the angle from the half-interval \([-90^\circ, 90^\circ]\).

**Input Format:**
\[
\tau_{\text{max in-plane}}, \, \sigma_{\text{avg}}, \, \theta_s = \, \text{MPa}, \, \text{MPa}, \, ^\circ
\]

---

### Notes:
To solve Part A and Part B:

1. **Principal Stresses and Orientation (Part A):**
- Use the given stress values, including \(\tau_{xy}\) and normal stress, to calculate \(\sigma_1\) and \(\sigma_2\) using the appropriate formulas.
- Determine the angle \(\theta_{p1}\) at which these stresses occur.

2. **Maximum In-plane Shear Stress and Average Normal Stress (Part B):**
- Use the stresses to find the maximum shear stress \(\tau_{\text{max in-plane}}\).
- Calculate the average normal stress \(\sigma_{\text{avg}}\).
- Determine the angle \(\theta_s\) for the maximum shear stress orientation.

Submit your calculations in the provided space and ensure accuracy to three

Branch of science that deals with the stationary and moving bodies under the influence of forces.

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