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

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SUMMARY

This discussion focuses on analyzing bolt tension and shear using Mohr's Circle. The scenario involves an "L" bracket with a bolt experiencing tension (Sigma y) and shear (Tau yx) due to an applied force. The key takeaway is that with Sigma x equal to zero, the center of Mohr's Circle is positioned at 0.5 times Sigma y, which is crucial for accurate calculations. The importance of clearly labeling planes and coordinate systems is emphasized for effective communication and understanding.

PREREQUISITES
  • Understanding of Mohr's Circle for stress analysis
  • Familiarity with tension and shear forces in structural engineering
  • Knowledge of coordinate systems in mechanics
  • Basic principles of static equilibrium in engineering
NEXT STEPS
  • Study the application of Mohr's Circle in two-dimensional stress analysis
  • Learn about the relationship between shear and normal stresses
  • Explore the concept of static equilibrium in bolted connections
  • Investigate the effects of different loading conditions on bolt performance
USEFUL FOR

Structural engineers, mechanical engineers, and students studying mechanics of materials who are involved in bolt design and analysis.

mdergance3
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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 would 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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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.
 

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