Thickness Of Vessel Given Longitudinal Stress In Cylindrical Vessel Material Calculator

Formula Used:

\[ t = \frac{P_i \times D_i}{4 \times \sigma_l} \]

Thickness Of Thin Shell (t):

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1. What is the Thickness Calculation Formula?

The formula calculates the thickness of a thin-walled cylindrical vessel under internal pressure, considering longitudinal stress. It's derived from the basic principles of pressure vessel design and material strength.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ t = \frac{P_i \times D_i}{4 \times \sigma_l} \]

Where:

\( t \) — Thickness of thin shell (m)
\( P_i \) — Internal pressure (Pa)
\( D_i \) — Inner diameter of cylinder (m)
\( \sigma_l \) — Longitudinal stress (Pa)

Explanation: This formula calculates the required thickness of a cylindrical vessel to withstand internal pressure while maintaining acceptable longitudinal stress levels in the material.

3. Importance of Vessel Thickness Calculation

Details: Accurate thickness calculation is crucial for pressure vessel design to ensure structural integrity, prevent failure under pressure, and comply with safety standards and regulations.

4. Using the Calculator

Tips: Enter internal pressure in Pascals, inner diameter in meters, and longitudinal stress in Pascals. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is considered a "thin-walled" vessel?
A: Typically, vessels where the wall thickness is less than 1/10 of the radius are considered thin-walled for this calculation.

Q2: How does internal pressure affect thickness requirements?
A: Higher internal pressure requires greater wall thickness to maintain the same stress levels in the material.

Q3: What factors influence longitudinal stress?
A: Material properties, operating temperature, safety factors, and design codes all influence the allowable longitudinal stress.

Q4: Are there limitations to this formula?
A: This formula is primarily for thin-walled cylindrical vessels under internal pressure and may not apply to thick-walled vessels or complex geometries.

Q5: Should safety factors be applied to the result?
A: Yes, engineering practice typically applies safety factors to calculated thicknesses to account for material variations, manufacturing tolerances, and unexpected load conditions.