Finding the shear stress and angle of twist in hollow shaft

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SUMMARY

This discussion focuses on calculating the shear stress and angle of twist for a hollow shaft made of titanium alloy, with specific parameters including a wall thickness of 3.2mm and an inner diameter of 20mm. The applied torque is 232 Nmm. Participants emphasize the necessity of knowing the material properties, particularly the shear modulus "G," to perform accurate calculations. The conversation highlights the importance of distinguishing between the materials mentioned in the attached image, which incorrectly identifies the shaft as steel.

PREREQUISITES
  • Understanding of shear stress calculations in hollow shafts
  • Knowledge of the shear modulus for titanium alloys
  • Familiarity with torque and its effects on material deformation
  • Basic principles of mechanics of materials
NEXT STEPS
  • Research the shear modulus values for various titanium alloys
  • Study the equations for shear stress in hollow shafts
  • Learn about the angle of twist calculations in torsional mechanics
  • Explore material property databases for titanium alloys
USEFUL FOR

Mechanical engineers, materials scientists, and students studying mechanics of materials who are involved in the design and analysis of hollow shafts under torsional loads.

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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