- #1
theBEAST
- 364
- 0
Homework Statement
Here is the problem and the solution
Why does P=F/A not work?
Why Does P=F/A Not Accurately Determine Surface Pressure in Thin-Walled Vessels?
- Thread starter theBEAST
- Start date
-
- Tags
- Pressure
In summary, a thin-walled pressure vessel is a container designed to hold fluids or gases at a higher pressure than the surrounding atmosphere. There are three main types: cylindrical, spherical, and conical. Factors such as internal pressure, material strength, vessel geometry, and operating temperature affect its design. These vessels are commonly used in industries such as oil and gas, chemical processing, aerospace, and manufacturing. The stress in a thin-walled pressure vessel can be calculated using the Lame's equation, σ = Pd/2t.
Here is the problem and the solution
Why does P=F/A not work?
- #2
Nugatory
Mentor
- 15,120
- 9,889
P=F/A gives you the average pressure. What's the pressure at the surface when the tank is filled to height h and what's the pressure at the bottom of the tank?
FAQ: Why Does P=F/A Not Accurately Determine Surface Pressure in Thin-Walled Vessels?
What is a thin-walled pressure vessel?
A thin-walled pressure vessel is a container that is designed to hold fluids or gases at a higher pressure than the surrounding atmosphere. It is typically cylindrical in shape and has a thin wall compared to its diameter.
What are the different types of thin-walled pressure vessels?
There are three main types of thin-walled pressure vessels: cylindrical, spherical, and conical. Cylindrical vessels are the most common and are used for storing gases or liquids under high pressure. Spherical vessels are used for storing gases at extremely high pressures, and conical vessels are used for specialized applications such as rocket motors.
What are the factors that affect the design of a thin-walled pressure vessel?
The design of a thin-walled pressure vessel is affected by several factors, including the internal pressure, material strength, vessel geometry, and operating temperature. These factors must be carefully considered to ensure the vessel can safely withstand the pressure and prevent failure.
What are the common uses of thin-walled pressure vessels?
Thin-walled pressure vessels are used in a variety of industries, including oil and gas, chemical processing, aerospace, and manufacturing. They are commonly used for storing and transporting gases and liquids under high pressures, as well as in heat exchangers, boilers, and other industrial equipment.
How is the stress in a thin-walled pressure vessel calculated?
The stress in a thin-walled pressure vessel can be calculated using the formula σ = Pd/2t, where σ is the stress, P is the internal pressure, d is the diameter of the vessel, and t is the thickness of the wall. This formula is known as the Lame's equation and is used to determine the maximum stress that a vessel can withstand before failure.