Determine force on each bolt due to water pressure

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SUMMARY

The discussion focuses on calculating the forces on bolts due to water pressure acting on a cover plate. The problem involves a bolt circle radius of 0.32m and utilizes the moment equation ƩMcd to determine the forces on the bolts. The angle sin(45) is relevant in calculating the vertical distance from the center of the cover plate to the bolts. The approach taken involves idealizing the cover plate as a beam supported by the upper and lower bolt pairs to solve for the reactions and forces on each bolt pair under hydrostatic pressure.

PREREQUISITES
  • Understanding of hydrostatic pressure principles
  • Knowledge of moment equilibrium equations
  • Familiarity with Free Body Diagrams (FBD)
  • Basic trigonometry, specifically sine functions
NEXT STEPS
  • Study the principles of hydrostatic pressure and its effects on structures
  • Learn about moment equilibrium and its application in structural analysis
  • Explore Free Body Diagram techniques for analyzing forces in mechanical systems
  • Review trigonometric functions and their applications in engineering problems
USEFUL FOR

Mechanical engineers, civil engineers, and students studying structural analysis or fluid mechanics will benefit from this discussion, particularly those involved in calculating forces on structural components under fluid pressure.

DerekZ10
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Homework Statement


Homework Equations



Here is the problem and solution to the problem:

OQOVa.jpg



I don't understand how it is finding the forces on the bolts when it takes ƩMcd. What is going on there? I also don't see how sin(45) is coming into play.

Is there a different/better way to approach this problem? I seem to have a better way on the tip of my brain but just can't think of it.

Thank you.
 
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1. The bolt circle radius is 0.32m. The distance of the upper or lower pair of bolts is 0.32 sin 45 from the center of the cover plate.
2. The FBD of the cover plate is taking its moment reference about the lower pair of bolts. The cover plate is idealized as a beam which is supported at the upper and lower bolt pairs. In essence, solving for the reactions of this idealized beam gives the forces on each pair of bolts when the hydrostatic head is applied to the cover plate.
 

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