Finding the shear stress and angle of twist in hollow shaft

In summary, the conversation revolves around finding the shear stress and angle of twist for a hollow shaft made of an unknown titanium alloy. The moderator notes that the original thread was in another forum with no template. The shaft has a wall thickness of 3.2mm and an inner diameter of 20mm, and a torque of 232 Nmm is applied to it. The question is divided into two parts: finding the shear stress in both sections of the tube and finding the angle of twist of the entire component. However, the problem arises as there is no specified material properties for the titanium alloy. The moderator questions how the calculation can be made without more information. The conversation also clarifies that the attached image only pertains to Part
  • #1
shannonxtreme
9
2
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
 
Last edited by a moderator:
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  • #2
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?
 
  • #3
For this problem, what is the equation for the shear strain on a plane of constant z in the θ direction?

Chet
 
  • #4
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.
 

1. What is shear stress in a hollow shaft?

Shear stress in a hollow shaft is the force per unit area that acts tangentially to the cross-sectional area of the shaft. It is caused by an applied torque or twisting force.

2. How is shear stress calculated in a hollow shaft?

Shear stress in a hollow shaft can be calculated by dividing the applied torque by the polar moment of inertia of the shaft's cross-sectional area.

3. What is the angle of twist in a hollow shaft?

The angle of twist in a hollow shaft is the amount of rotation that occurs along the length of the shaft due to an applied torque or twisting force.

4. How is the angle of twist measured in a hollow shaft?

The angle of twist in a hollow shaft can be measured using a torque sensor or strain gauges attached to the shaft. It can also be calculated by dividing the linear displacement of a point on the shaft by its length.

5. What factors affect shear stress and angle of twist in a hollow shaft?

The main factors that affect shear stress and angle of twist in a hollow shaft include the magnitude of the applied torque, the material properties of the shaft (such as modulus of elasticity and shear modulus), and the geometry of the shaft (such as cross-sectional area and length).

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