A thin-walled beam of hollow circular cross-section shown below is subject to both torsional and transverse loads. The outside diameter do= 100mm and wall thickness t= 5mm. At a specific cross-section, the bending moments are My = 600 N.m, Mz = 950 N.m and torsional moment is Mx=T=500 N.m. Calculate the principal stresses and the maximum shear stress at point A. Assume angle θ is 59 (degrees). Ignore transverse shear stress at point A. Use the closed thin-walled theory to solve for torsional shear stress. Use this method as closed thin walled theory;Shear Stress: Tx =T/2Amt ; Am=Area contained within the median lineDo it with proper steps with all diagram and I want right answer for it with each step explained properly. The image depicts a circular cross-sectional diagram with two concentric circles, representing a cylindrical object viewed from a side perspective. ### Diagram Explanation:1. **Axes**: - The diagram is oriented with red axes labeled as \( y \) and \( z \). The \( y \)-axis is vertical, and the \( z \)-axis is horizontal, intersecting at the center of the circles.2. **Circles**: - There are two concentric circles. - The smaller circle represents the inside diameter of the pipe, labeled with the symbol \( d_o \). - The region between the circles represents the thickness of the pipe, labeled as \( t \).3. **Line and Angle**: - A dashed line runs from the center of the circles to a point on the outer circle, forming an angle \( \theta \) with the \( z \)-axis. - This section is part of the inner circle's diameter and demonstrates how to determine an angle \( \theta \) with a reference.4. **Point A**: - A red point labeled \( A \) is marked on the edge of the inner circle along the \( z \)-axis.5. **Arrows**: - Two arrows on the outer circle indicate the direction of traversal or rotation around the circles.This diagram illustrates the relationship between various factors associated with a cylindrical pipe, such as its inner diameter, thickness, and the angle made by a radial line with respect to a reference axis.

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Answered: A thin-walled beam of hollow circular…

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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A thin-walled beam of hollow circular cross-section shown below is subject to both torsional and transverse loads. The outside diameter do= 100mm and wall thickness t= 5mm. At a specific cross-section, the bending moments are My = 600 N.m, Mz = 950 N.m and torsional moment is Mx=T=500 N.m. Calculate the principal stresses and the maximum shear stress at point A. Assume angle θ is 59 (degrees). Ignore transverse shear stress at point A. Use the closed thin-walled theory to solve for torsional shear stress.

Use this method as closed thin walled theory;

Shear Stress: Tx =T/2Amt ; Am=Area contained within the median line

Do it with proper steps with all diagram and I want right answer for it with each step explained properly.

The image depicts a circular cross-sectional diagram with two concentric circles, representing a cylindrical object viewed from a side perspective.

### Diagram Explanation:

1. **Axes**:
- The diagram is oriented with red axes labeled as \( y \) and \( z \). The \( y \)-axis is vertical, and the \( z \)-axis is horizontal, intersecting at the center of the circles.

2. **Circles**:
- There are two concentric circles.
- The smaller circle represents the inside diameter of the pipe, labeled with the symbol \( d_o \).
- The region between the circles represents the thickness of the pipe, labeled as \( t \).

3. **Line and Angle**:
- A dashed line runs from the center of the circles to a point on the outer circle, forming an angle \( \theta \) with the \( z \)-axis.
- This section is part of the inner circle's diameter and demonstrates how to determine an angle \( \theta \) with a reference.

4. **Point A**:
- A red point labeled \( A \) is marked on the edge of the inner circle along the \( z \)-axis.

5. **Arrows**:
- Two arrows on the outer circle indicate the direction of traversal or rotation around the circles.

This diagram illustrates the relationship between various factors associated with a cylindrical pipe, such as its inner diameter, thickness, and the angle made by a radial line with respect to a reference axis.

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