Calculating Bolt Diameter for Shear Stress in a Riveted Joint

[jojoba]

This is a problem given for laboratory analysis, but there are no relevant equations in our textbook to help solving the problem. Could anyone just give me a hint on what equation should be used to solve the problem? the only relevant equation I know is :
shear stress = F/A
1. The figure below is of a riveted joint. The joint is fastened together using two bolts.
Determine the required diameter of the bolts if the allowable shear stress for the
bolts is 85 MPa.:

The figure is shown on the last page of the attachment..thanks

 

[KLoux]

You've got everything you need:

Use the equation you supplied. What is F (I saw it in the .pdf you supplied...)? You already know the shear stress, right?

The only thing left is to relate the area to the bolt diameter and the number of bolts. That should be easy, right?

Hope this helps!

-Kerry

 

[Mene]

Thank you for your question. In order to calculate the bolt diameter for shear stress in a riveted joint, you will need to use the equation you mentioned: shear stress = F/A. However, you will also need to consider the properties of the material being used for the bolts, as well as the geometry of the joint. This can be done using the following equation:

F = τ x A x K

Where F is the force applied to the joint, τ is the allowable shear stress, A is the cross-sectional area of the bolt, and K is a factor that takes into account the geometry of the joint and the type of loading applied.

To determine the required bolt diameter, you will need to rearrange this equation to solve for A:

A = F / (τ x K)

Once you have calculated the required cross-sectional area, you can then use the equation for the area of a circle (A = π x d^2 / 4) to solve for the bolt diameter (d).

I hope this helps guide you in solving the problem. It's important to note that there may be other factors to consider in your specific laboratory analysis, so it's always best to consult with your instructor or refer to other relevant resources for a complete and accurate solution.