Calculating Max Torque and Shaft Twist for Socket Wrench

In summary, the steel shaft of a socket wrench is 18mm in diameter and 450mm long with an allowable shear stress of 70 MN/m^2. The maximum permissible torque that can be exerted with the wrench can be determined by examining the relationship between torque and shear stress. To find the angle at which the shaft will twist under the maximum torque, the conversion from radians to degrees must be applied. The formula for this calculation is not provided and further information is needed to solve for the maximum torque and twist angle. The value of G, 80 GN/m^2, may also play a role in the calculation.
  • #1
confusedkarl
2
0

Homework Statement



The steel shaft of a socket wrench is 18mm diameter and 450mm long. If the allowable shear stree is 70 MN/m^2.

Homework Equations


i) What is the maximum permissible torque T that may be extered with the wrench?
ii) Through what angle (theta) in radians will the shaft twist under the action of the maximum torque?
iii) Through what angle (theta) in degrees will the shaft twist under the action of the maximum torque? G = 80 GN/m^2


The Attempt at a Solution



Im pretty happy how to do the radians to degress conversion but haven't a clue on the forumulae or process I need for i and ii =(
 
Last edited:
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  • #2
A good starting place would be to examine the relationship between the torque on the wrench, and the shear stress it imparts.
 

1. How do you calculate the maximum torque for a socket wrench?

To calculate the maximum torque for a socket wrench, you will need to know the diameter of the wrench's handle, the length of the handle, and the material of the handle. Once you have this information, you can use the formula T = (π/16) x d^3 x σ, where T is the maximum torque, d is the diameter of the handle, and σ is the maximum allowable stress of the handle's material. This will give you the maximum torque that the wrench can withstand before breaking.

2. What is the maximum allowable stress for a socket wrench handle?

The maximum allowable stress for a socket wrench handle will depend on the material it is made of. For example, a steel handle can typically withstand a maximum stress of around 150,000 psi, while a titanium handle can withstand up to 180,000 psi. It is important to know the maximum allowable stress of the handle's material in order to calculate the maximum torque the wrench can handle.

3. How does the length of the handle affect the maximum torque of a socket wrench?

The length of the handle directly affects the maximum torque that a socket wrench can handle. The longer the handle, the more torque it can withstand before breaking. This is because a longer handle has a larger moment of inertia, which allows it to resist twisting forces better. However, a longer handle also means a heavier and bulkier wrench, so it is important to find a balance between length and practicality.

4. Can a socket wrench twist or break under too much torque?

Yes, a socket wrench can twist or break under too much torque. This is why it is important to calculate the maximum torque and ensure that it does not exceed the wrench's capabilities. Applying too much torque can also cause the fastener to strip or break, so it is important to use the correct size and type of wrench for the job.

5. How can I prevent a socket wrench from twisting or breaking under high torque?

To prevent a socket wrench from twisting or breaking under high torque, it is important to use a wrench with a handle made of a strong and durable material, such as steel or titanium. It is also important to properly maintain and inspect the wrench for any signs of wear or damage. Additionally, using a torque wrench or a torque multiplier can help to ensure that the correct amount of torque is applied without risking damage to the wrench or fastener.

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