Determine force on each bolt due to water pressure

In summary, the problem involves finding the forces on bolts in a cover plate, with a bolt circle radius of 0.32m, when a hydrostatic head is applied. The FBD of the cover plate is taken about the lower bolt pair and solved as an idealized beam to determine the forces on each pair of bolts. The distance of the upper or lower pair of bolts is also calculated using the sine function. There may be alternative approaches to solving this problem.
  • #1
DerekZ10
4
0

Homework Statement


Homework Equations



Here is the problem and solution to the problem:

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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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  • #2
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.
 

FAQ: Determine force on each bolt due to water pressure

1. How is the force on each bolt due to water pressure determined?

The force on each bolt due to water pressure is determined by calculating the pressure exerted by the water on the surface area of the bolts. This can be done by multiplying the water pressure (in pascals) by the surface area (in square meters) of each bolt.

2. What factors affect the force on each bolt due to water pressure?

The force on each bolt due to water pressure is affected by the depth of the water, the density of the water, and the surface area of the bolts. Other factors such as the shape and orientation of the bolts may also impact the force.

3. How does the force on each bolt due to water pressure impact the stability of a structure?

The force on each bolt due to water pressure is an important factor in determining the overall stability of a structure. If the force is too great, it can cause the bolts to fail and compromise the integrity of the structure. It is important to properly calculate and account for the force on each bolt in the design and construction of a structure.

4. Are there any safety precautions to consider when determining the force on each bolt due to water pressure?

Yes, it is important to wear appropriate safety gear (such as gloves and eye protection) when handling bolts and working with water pressure. It is also important to follow proper procedures and calculations to ensure the safety of yourself and others.

5. Can the force on each bolt due to water pressure change over time?

Yes, the force on each bolt due to water pressure can change over time due to factors such as changes in water level, changes in water density, and corrosion of the bolts. It is important to regularly monitor and assess the force on each bolt in order to maintain the stability and safety of a structure.

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