Is there any normal stress on torsional member?

In summary, when a rod is twisted, there is only torsional shear stress on elements parallel and perpendicular to its longitudinal axis. However, elements inclined to the axis will experience normal stresses, as per Mohr's circle calculations.
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Homework Statement



is there any normal stress on torsional member?

Homework Equations





The Attempt at a Solution



My professor showed me a circular rod made up of rubber and she made a rectangular hole on the side of it and asked whether there is any normal stress on the torsional member by showing how the circular rod is twisted when she twist it.
I know there must be a shear stress on the torsional member but normal stress?
Anyone knows the anwer and explanation for it?
 
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  • #2
When a rod is subject to torsionally applied loading only, there is only torsional shear stress on an element parallel and perpendicular to the rod's longitudinal axis. However, when you look at an element inclined to that axis, then you do get normal (tensile and comopressive) stresses at that point, per Mohr's circle calculations.
 

Related to Is there any normal stress on torsional member?

1. What is torsional stress?

Torsional stress is a type of stress that occurs when a force is applied to an object that causes it to twist or rotate around its axis. It is also known as shear stress.

2. How is torsional stress calculated?

Torsional stress can be calculated by dividing the applied force by the moment of inertia of the object. The moment of inertia is a measure of an object's resistance to changes in its rotation. The resulting unit for torsional stress is usually in units of force per unit area, such as pounds per square inch (psi) or newtons per square meter (Pa).

3. What factors affect torsional stress on a member?

The amount of torsional stress on a member depends on several factors, including the applied force, the moment of inertia of the member, and the length of the member. The material properties of the member, such as its strength and stiffness, also play a role in determining the amount of torsional stress.

4. How does normal stress differ from shear stress in torsional members?

Normal stress occurs when a force is applied perpendicular to the cross-section of a member, causing it to compress or stretch. Shear stress, on the other hand, occurs when a force is applied parallel to the cross-section of a member, causing it to deform or shear. In torsional members, normal stress is typically less significant than shear stress.

5. How can torsional stress be reduced in a member?

Torsional stress can be reduced by increasing the moment of inertia of the member, using materials with higher strength and stiffness, or by decreasing the length of the member. Additionally, proper design and reinforcement techniques can help distribute the applied forces more evenly and reduce the overall stress on the member.

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