Materials Selection problem for a torsion shaft

In summary, the problem is to determine the material indices for a drive shaft tube for a rear wheel drive high-performance sedan that requires a lighter weight unit than one made from conventional steel. The requirements are an applied torque of 814 N-m (600 ft-lbs), a factor of safety of 2 or more, and a maximum angular displacement at full torque of no more than 3 degrees. The shaft is 36 inches long (0.9144m) with a fixed outer diameter of 67mm (2.637 in.). The equations used to solve the problem are (tau)f/N=2M/(pi)r^3 for the material indices, m=L(rho)(pi)r^2 for the weight, and minimize
  • #1
lou_skywalker
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Homework Statement


A drive shaft tube for a rear wheel drive high-performance sedan requires a lighter weight unit than one made from conventional steel. The requirements are that the applied torque be 814 N-m (600 ft-lbs) the factor of safety be 2 or more and the maximum angular displacement at full torque be no more than 3 degrees.
The shaft is 36 inches long (0.9144m) and has a fixed outer diameter of 67mm (2.637 in.).

Determine the material indices for
this application and calculate the inner diameter, weight and cost for tubes made from the candidate materials.


Homework Equations



(tau)f/N=2M/(pi)r^3

m=L(rho)(pi)r^2

minimize (rho)/(tau)f^2/3

The Attempt at a Solution



I can derive the term to be minimized using the above equations, just need to do it with the variables given in the problem. (especially with the inner diameter not given)
 
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  • #2
After that, I am not sure how to solve the problem with the 3 materials listed and come up with an answer.
 

Related to Materials Selection problem for a torsion shaft

1. What is a materials selection problem for a torsion shaft?

A materials selection problem for a torsion shaft refers to the process of choosing the most suitable material for a shaft that will be subjected to twisting or torsional forces. This is a critical decision in engineering design, as the wrong material can result in failure or malfunction of the shaft.

2. What factors should be considered when selecting materials for a torsion shaft?

When selecting materials for a torsion shaft, factors such as strength, stiffness, ductility, fatigue resistance, and corrosion resistance should be considered. The material should also be able to withstand the expected operating conditions, such as temperature and load.

3. How do material properties affect the performance of a torsion shaft?

Material properties, such as strength and stiffness, directly affect the performance of a torsion shaft. A material with high strength will be able to withstand greater torsional forces without deforming or breaking, while a material with high stiffness will resist bending and maintain its shape. Other properties, such as ductility and fatigue resistance, also play a role in determining the durability and reliability of the shaft.

4. What are some common materials used for torsion shafts?

Some common materials used for torsion shafts include steel, titanium, aluminum, and various alloys. These materials are known for their high strength, stiffness, and fatigue resistance, making them suitable for handling torsional forces.

5. How is the materials selection process for a torsion shaft typically carried out?

The materials selection process for a torsion shaft typically involves analyzing the design requirements, identifying potential materials that meet those requirements, and evaluating their properties and performance. This may include conducting tests and simulations to determine the most suitable material for the specific application.

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