Percentage saving in weight of sloid shaft Vs hollow shaft

In summary, the external diameter of the solid shaft is being replaced by a hollow shaft with an internal diameter equal to 60% of the external diameter, while keeping the length, material, and maximum shear stress unchanged. To calculate the percentage saving in weight, we can use the equation for volume, which is equal to cross-section area times height. By reducing the cross-section area, we can determine the percentage reduction in weight. Relevant equations and work can be shown to further understand the calculations. Thank you for your assistance.
  • #1
adam333
1
0
I have calculated the external diameter and the solid shaft is to be replaced by a hollow shaft whose internal diameter equals 60% of the external diameter, the length, material, and maximum shear stress remaining unchanged.

How can I calculate the percentage saving in weight?
What are the equations that are relative to this?

Thank u for ur help
 
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  • #2
Welcome to PF!

adam333 said:
I have calculated the external diameter and the solid shaft is to be replaced by a hollow shaft whose internal diameter equals 60% of the external diameter, the length, material, and maximum shear stress remaining unchanged.

How can I calculate the percentage saving in weight?
What are the equations that are relative to this?

Thank u for ur help

Hi adam333! Welcome to PF! :smile:

Hint: volume = cross-section-area times height …

so how much is the cross-section-area reduced? :wink:
 
  • #3
adam333: For the hollow versus solid shaft, hold applied torque and maximum shear stress constant, and set inside diameter of the hollow shaft equal to 60 % of the outside diameter of the hollow shaft. List relevant equations, and show your work.
 

What is the concept of percentage saving in weight of solid shaft vs hollow shaft?

The concept of percentage saving in weight of solid shaft vs hollow shaft is a comparison between the weight of a solid shaft and a hollow shaft of the same material and dimensions. It is used to determine the difference in weight between the two types of shafts.

Why is the weight of a hollow shaft less than that of a solid shaft?

The weight of a hollow shaft is less than that of a solid shaft because a hollow shaft has a larger cross-sectional area compared to a solid shaft of the same outer diameter. This means that less material is needed to create a hollow shaft, resulting in a lower weight.

How is the percentage saving in weight calculated for solid shaft vs hollow shaft?

The percentage saving in weight of solid shaft vs hollow shaft is calculated by taking the difference in weight between the two types of shafts and dividing it by the weight of the solid shaft. The result is then multiplied by 100 to get the percentage.

What are the advantages of using a hollow shaft instead of a solid shaft?

There are several advantages of using a hollow shaft instead of a solid shaft. These include a lower weight, reduced material cost, and improved strength-to-weight ratio. Hollow shafts are also more resistant to torsion and have better damping properties.

Are there any limitations to using a hollow shaft over a solid shaft?

While there are many advantages to using a hollow shaft, there are also some limitations. Hollow shafts may not be suitable for high-precision applications as they are more prone to deflection and buckling under heavy loads. They may also have a lower resistance to fatigue compared to solid shafts.

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