Analyzing Bolt Tension & Shear: A Mohr's Circle Approach

In summary, the conversation discusses analyzing a bolt in tension and shear, specifically an "L" bracket bolted in a certain configuration. The bolt will experience tension in the y direction and shear on the yx plane. The force in the x direction should be zero and the shear in the xy plane should also be zero. However, the points on the x and y faces seem to be invalid according to Mohr's circle, as the center does not fall on the horizontal axis. The expert suggests posting diagrams and points out that tau_yx is equal to tau_xy. They also mention that the center of Mohr's circle should be at 0.5*sigma_y. They recommend posting homework questions in the engineering homework forum.
  • #1
mdergance3
13
0
How would I analize a bolt in tension and shear. Imagine an "L" bracket bolted in the configuration below "||" represents a bolt. There is a force "<--" at the top of the bracket.

<--|
...|
...|_____||_

The bolt will see tension and shear. There will be tension in the y direction (Sigma y) and shear on the yx plane (Tau yx). The force in the x direction should be zero and the Shear in the xy plane should be zero.

This means the points on the x surface would be (0,0) and the points on the y face woudl be (tension, shear). These points seem to be invallid because the mohr's circle center will not fall on the horizontal axis. What am I doing wrong?
 
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  • #2
mdergance3: The planes, coordinate system, surfaces, and points you are referring to in your text are not labeled nor shown. Therefore, we are having some trouble understanding your question. PF allows you to post (attach) diagrams, if you wish.

It sounds like sigma_x = 0, and you have sigma_y and tau_yx. (By the way, tau_yx = tau_xy.) Therefore, the center of Mohr's circle is on the horizontal axis at 0.5(sigma_x + sigma_y) = 0.5*sigma_y. See if that helps you, so far. Homework questions should be posted in the engineering homework forum.
 

1. What is the purpose of analyzing bolt tension and shear using a Mohr's circle approach?

The purpose of analyzing bolt tension and shear using a Mohr's circle approach is to determine the maximum shear and tension stresses that a bolt can withstand before failure. This approach helps to visualize and calculate the stresses acting on the bolt in a more efficient manner.

2. How is a Mohr's circle used in the analysis of bolt tension and shear?

A Mohr's circle is a graphical representation of the stresses acting on a material in 2D. In the context of analyzing bolt tension and shear, a Mohr's circle is used to determine the principal stresses and maximum shear stress acting on the bolt. This can help engineers design bolts that can withstand the expected loads and avoid failure.

3. What factors affect the bolt tension and shear stresses?

The main factors that affect bolt tension and shear stresses include the applied load, the material properties of the bolt, and the geometry of the bolt and its surroundings. The size and type of bolt, as well as the surface conditions and the presence of any preloading, can also impact the stress distribution.

4. Can a Mohr's circle approach be used for other types of fasteners besides bolts?

Yes, a Mohr's circle approach can be used for other types of fasteners such as screws, pins, and rivets. However, the calculations and stress distributions may differ depending on the specific type of fastener and its geometry. It is important to use the appropriate equations and assumptions for the specific type of fastener being analyzed.

5. What are the limitations of using a Mohr's circle approach for analyzing bolt tension and shear?

One limitation of using a Mohr's circle approach is that it assumes the material being analyzed is isotropic, meaning it has the same properties in all directions. This may not always be the case for real-world materials. Additionally, the Mohr's circle approach may not account for other factors such as stress concentrations or fatigue that can also affect the behavior of bolts under tension and shear. Therefore, it is important to use this approach in conjunction with other methods and considerations for a comprehensive analysis.

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