Thick or thin walled cylinders

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In summary, for a pressure vessel with a volume of 20 m3 and an internal pressure of 25 bar, a wall thickness of 17.8 mm is required if a safety factor of 5 is used and the vessel is treated as a thick cylinder.
  • #1
Big Jock
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20 m3 of gas at a pressure of 25 bar is to be stored in a cylindrical
pressure vessel 2 m long. Given the following information :
The yield strength of the vessel material is 14,000 psi
If a factor of safety of 5 is to be used, determine:
(a) Whether the vessel should be treated as a thin or thick cylinder.
(b) The wall thickness required for the pressure vessel

Not sure where to start really

20 m3 of gas at a pressure of 25 bar - I guess 25 bar is 25 x 10^6 and 20 m^3 is 20,000 litres but other than that I am stumped any help getting started or someone will to help me work through it would be greatly appreciated...
 
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  • #2
Answer:a) The vessel should be treated as a thick cylinder.b) The wall thickness required for the pressure vessel can be calculated using the following equation: t = (P x D)/(2 x FS x S) where P is the internal pressure, D is the internal diameter of the cylinder, FS is the safety factor, and S is the yield strength of the vessel material. For this example, we would have: t = (25 x 10^6 x 2)/(2 x 5 x 14,000 psi) t = 17.8 mm
 

1. What is the difference between a thick and thin-walled cylinder?

The main difference between a thick and thin-walled cylinder is the ratio of its inner and outer diameters. In a thick-walled cylinder, the inner diameter is significantly smaller than the outer diameter, while in a thin-walled cylinder, the inner and outer diameters are closer in size.

2. How does the thickness of a cylinder affect its strength?

The thickness of a cylinder plays a crucial role in its strength. A thicker-walled cylinder has a higher resistance to internal and external pressures, making it stronger and more durable. On the other hand, a thinner-walled cylinder may be more prone to deformation or failure under pressure.

3. What are some real-world applications of thick and thin-walled cylinders?

Thick and thin-walled cylinders have a wide range of applications in various industries. Thick-walled cylinders are commonly used in hydraulic systems, pressure vessels, and pipes, while thin-walled cylinders are used in structures such as tanks, aircraft fuselages, and tubes used in heat exchangers.

4. How is the stress distribution different in thick and thin-walled cylinders?

In a thick-walled cylinder, the stress is distributed more evenly across the wall thickness, resulting in a lower maximum stress compared to a thin-walled cylinder. This is because the thicker walls can better resist the applied pressure, while in a thin-walled cylinder, the stress is concentrated at the inner and outer surfaces.

5. Can a cylinder have both thick and thin-walled sections?

Yes, it is possible for a cylinder to have both thick and thin-walled sections. This is known as a compound cylinder and is often used in engineering designs to optimize the strength and weight of the cylinder. For example, a hydraulic cylinder may have a thick-walled base for strength and a thinner-walled body for weight reduction.

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