3.35 The closed tube shown has an outside diameter of 40 mm and a wall thickness of 2 mm. The tube is subjected to the two loads shown and an internal pres- sure of 3 MPa. (a) Assuming an ideal model, determine the states of stress at (0, 0, ±20 mm) and where the tensile bending stress is a maximum. (b) Determine the value and location of the maximum shear stress. (c) Determine the value and location of the maximum tensile stress. 300 mm 1.5 kN 100 mm 1.5 kN

Elements Of Electromagnetics
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Please use principle stresses, Tresca failure criterior and Von Mises Yield Criteror to solve for this problem

**Problem 3.35: Analysis of Stress in a Closed Tube**

The closed tube shown has an outside diameter of 40 mm and a wall thickness of 2 mm. The tube is subjected to the two loads shown and an internal pressure of 3 MPa.

**(a)** Assuming an ideal model, determine the states of stress at (0, 0, ±20 mm) and where the tensile bending stress is a maximum.

**(b)** Determine the value and location of the maximum shear stress.

**(c)** Determine the value and location of the maximum tensile stress.

**Diagram Explanation:**

The diagram presents a cylindrical tube supported horizontally at one end, with a loading situation comprising two forces:

- A vertical force of 1.5 kN is applied downwards at 300 mm from the wall support.
- Another vertical force of 1.5 kN is applied downwards at 100 mm away from the first force.

The tube's coordinate system is marked with the z-axis pointing along the length of the tube, the y-axis vertically upward, and the x-axis horizontally to the right. The tube is internally pressurized, adding complexity to the stress analysis.
Transcribed Image Text:**Problem 3.35: Analysis of Stress in a Closed Tube** The closed tube shown has an outside diameter of 40 mm and a wall thickness of 2 mm. The tube is subjected to the two loads shown and an internal pressure of 3 MPa. **(a)** Assuming an ideal model, determine the states of stress at (0, 0, ±20 mm) and where the tensile bending stress is a maximum. **(b)** Determine the value and location of the maximum shear stress. **(c)** Determine the value and location of the maximum tensile stress. **Diagram Explanation:** The diagram presents a cylindrical tube supported horizontally at one end, with a loading situation comprising two forces: - A vertical force of 1.5 kN is applied downwards at 300 mm from the wall support. - Another vertical force of 1.5 kN is applied downwards at 100 mm away from the first force. The tube's coordinate system is marked with the z-axis pointing along the length of the tube, the y-axis vertically upward, and the x-axis horizontally to the right. The tube is internally pressurized, adding complexity to the stress analysis.
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