Torsion question can anyone help?

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In summary, the conversation is about determining the minimum diameter of a solid steel shaft for a power transmission system that can transmit a torque of 2000 Nm without exceeding a twist of 5 degrees per meter of shaft length. The shear modulus of the steel is given as 75 GPa. The correct minimum diameter is found using the torsion equation, T/J=Tau/r=Gxtheta/L, and is not 14mm as previously calculated.
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scw1
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Torsion question can anyone help?

Homework Statement


For a power transmission system, a solid steel shaft is required to transmit a torque of 2000 Nm. The limiting factor is that the twist of the shaft should not exceed 5 degrees for each metre of the shaft length. The shear modulus G is 75 GPa for this steel. What should be the minimum shaft diameter??


Homework Equations


The general bending formula
T/J=Tau/r=Gxtheta/L

The Attempt at a Solution


I tried to use the bending formula and come up with 14mm minimum diameter shaft
 
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  • #2


scw1 said:

The Attempt at a Solution


I tried to use the bending formula and come up with 14mm minimum diameter shaft

Your equation is the torsion equation, but could you post your working, I don't have a calculator on hand to check your answer.
 
  • #3
scw1: Your equation in post 1 is correct, but your current answer is incorrect. Ensure you are using correct units, and ensure you are using the correct equation for J. Try again.
 

1. What is torsion?

Torsion is a type of mechanical stress or strain that occurs when a material is twisted or rotated. It is caused by a twisting force, also known as torque, being applied to an object.

2. What are some common examples of torsion?

Some common examples of torsion include wringing out a wet cloth, opening a bottle cap, and tightening a screw. Torsion also plays a role in the functioning of many mechanical devices, such as car engines and helicopter rotors.

3. How does torsion affect materials?

Torsion can cause materials to deform, bend, or break depending on their properties and the amount of torque applied. Materials with high torsional strength, such as steel, can withstand larger twisting forces without deforming, while materials with lower torsional strength, such as rubber, are more likely to deform under torsion.

4. What are the applications of torsion in science and engineering?

Torsion has many practical applications in science and engineering. It is used in the design and construction of buildings, bridges, and other structures to ensure they can withstand torsional forces caused by wind or earthquakes. Torsion is also important in the development of machinery and tools, as well as in the study of materials and their properties.

5. How can I solve a torsion problem?

Solving a torsion problem involves identifying the properties of the material and the amount of torque being applied, and then using mathematical equations and principles of mechanics to calculate the resulting stress and strain on the object. It is a complex problem that often requires advanced knowledge and skills in engineering and physics.

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