Finding the shear stress and angle of twist in hollow shaft

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Discussion Overview

The discussion revolves around calculating the shear stress and angle of twist for a hollow shaft made of a titanium alloy, given specific dimensions and an applied torque. The scope includes theoretical calculations related to material properties and mechanics of materials.

Discussion Character

  • Technical explanation, Debate/contested

Main Points Raised

  • One participant presents a problem involving a hollow shaft made of titanium alloy, asking for methods to calculate shear stress and angle of twist.
  • Another participant questions the feasibility of the calculations due to the lack of specified material properties for the titanium alloy.
  • A third participant seeks clarification on the equation for shear strain in relation to the problem presented.
  • There is a repeated emphasis on the inconsistency regarding the material of the shaft, with references to an attached image that indicates the shaft is made from steel, which adds to the confusion about the calculations.

Areas of Agreement / Disagreement

Participants express disagreement regarding the material properties needed for the calculations, with some asserting that the lack of information makes it impossible to proceed, while others focus on the theoretical aspects without resolving the material discrepancy.

Contextual Notes

The discussion highlights limitations related to missing material properties and the confusion arising from the conflicting information about the shaft's material composition.

shannonxtreme
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MODERATOR NOTE: THIS THREAD WAS ORIGINALLY IN ANOTHER FORUM, SO THERE IS NO TEMPLATE.

I have a hollow shaft made of a titanium alloy, Shear Modulus "G". The shaft has a wall thickness of 3.2mm and an inner diameter of 20mm. The shaft looks as show in the attached image. A torque T of 232 Nmm is applied to the tube. How do I :
a) Find out the shear stress in both sections of the tube
b) Find the angle of twist of the entire component?
1425465552016686580234.jpg
 
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The attached image says the shaft is made from steel.

You want to find the shear stress and angle of twist for a similar shaft made on unknown titanium alloy with no specified material properties.

Exactly how do you expect to make this calculation without more information?
 
For this problem, what is the equation for the shear strain on a plane of constant z in the θ direction?

Chet
 
SteamKing said:
The attached image says the shaft is made from steel.

You want to find the shear stress and angle of twist for a similar shaft made on unknown titanium alloy with no specified material properties.

Exactly how do you expect to make this calculation without more information?
No, the image is for Part 1, Part 2 shown under it is unrelated. The Part 1 question simply states titanium, and expects me to find out what the properties are.
 

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