Calculating Pressure in a PVC Balloon-Like Object

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To calculate the pressure in a PVC balloon-like object suspending a weight, the pressure can be determined using the formula Pressure = Force/ground contact area. To find the PSI on the walls of the cylindrical balloon, the air pressure inside will remain constant throughout, influenced by the weight applied. The formula p = po + (W/A) can be used, where po is the initial gauge pressure, W is the weight, and A is the cross-sectional area of the cylinder. The thin-walled nature of the cylinder, along with the half-inch plates at the ends, will affect how pressure is distributed but can be approximated similarly to a car tire. Understanding these principles can help in designing the balloon-like object effectively.
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Hypothetical question to help me in design:

A PVC air tight balloon like object is used to suspend a weight just above the ground. It can be thought of as being very similar to a car tyre's function. The weight is known, the part of the balloons area in contact with the ground is known.
Thus, pressure is found by using ((Pressure = Force/ground contact area) = N/m^2).

From this, how do I find the PSI on the walls of the balloon? It has a cylindrical shape.

Pressure/Surface area of balloon?

Cylinder is thin walled, other than top and bottom which have half inch plates attached, how would they effect the spread of pressure?

Surely the analogy of a car tyre could be used and give near perfect results as it is basically a balloon like object with differing wall thickness? Any relavent links about this in relation to car tyres would be appreciated, I have already searched quite a bit on them.


Thank You.



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The Attempt at a Solution

 
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recreated: Is this a homework question? You say the cylinder wall is made of PVC, but then you say the cylinder wall acts like a balloon, which would be like an elastomer, such as polychloroprene.

Air pressure, p, inside the cylinder will be the same, throughout the cylinder, on the cylinder wall and end caps. Assuming the cylinder wall is a thin elastomer, and acts like a balloon, I currently think air pressure p = po + (W/A), where po = initial gauge air pressure inside the cylinder (before weight W is applied), W = suspended object weight, A = 0.25*pi*d^2, and d = current cylinder midspan diameter (after weight W is applied).
 

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