Length Of Vessel Given Force Due To Fluid Pressure In Thin Cylindrical Vessel Calculator

Formula Used:

\[ Length Of Cylindrical Shell = \frac{Force On Cylindrical Shell}{Internal Pressure \times Inner Diameter Of Cylinder} \] \[ L_{cylinder} = \frac{F}{P_i \times D_i} \]

Length Of Cylindrical Shell:

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1. What Is The Length Of Cylindrical Shell Formula?

The formula calculates the length of a cylindrical shell based on the force exerted on it, internal pressure, and inner diameter. It's derived from the relationship between these parameters in thin-walled pressure vessel theory.

2. How Does The Calculator Work?

The calculator uses the formula:

\[ L_{cylinder} = \frac{F}{P_i \times D_i} \]

Where:

\( L_{cylinder} \) — Length of cylindrical shell (m)
\( F \) — Force on cylindrical shell (N)
\( P_i \) — Internal pressure (Pa)
\( D_i \) — Inner diameter of cylinder (m)

Explanation: This formula calculates the required length of a cylindrical vessel to withstand a given internal pressure with a specific force acting on it.

3. Importance Of Length Calculation

Details: Accurate length calculation is crucial for designing pressure vessels, ensuring structural integrity, and determining the appropriate dimensions for cylindrical containers under internal pressure.

4. Using The Calculator

Tips: Enter force in Newtons, internal pressure in Pascals, and inner diameter in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What types of vessels is this formula applicable to?
A: This formula is primarily applicable to thin-walled cylindrical pressure vessels where the wall thickness is small compared to the diameter.

Q2: How does internal pressure affect the required length?
A: Higher internal pressure requires a shorter length to maintain the same force, while lower pressure allows for longer vessels with the same force capacity.

Q3: What are typical units used in this calculation?
A: Force is measured in Newtons (N), pressure in Pascals (Pa), diameter in meters (m), and the resulting length in meters (m).

Q4: Are there limitations to this formula?
A: This formula assumes uniform pressure distribution, ideal cylindrical geometry, and doesn't account for material properties or safety factors.

Q5: Can this formula be used for thick-walled vessels?
A: No, this formula is specifically designed for thin-walled cylindrical vessels where the wall thickness is less than 1/10 of the radius.