Thickness Of Vessel Given Hoop Stress And Efficiency Of Longitudinal Joint Calculator

Formula Used:

\[ t = \frac{P_i \times D_i}{2 \times \sigma_\theta \times \eta_l} \]

Internal Pressure in thin shell (P_i):

Inner Diameter of Cylinderical Vessel (D_i):

Hoop Stress in Thin shell (σ_θ):

Efficiency of Longitudinal Joint (η_l):

(0-1)

Thickness Of Thin Shell (t):

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1. What is the Thickness Calculation Formula?

The formula calculates the required thickness of a thin-walled cylindrical vessel under internal pressure, considering hoop stress and joint efficiency. It's derived from the basic hoop stress equation modified for joint efficiency.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ t = \frac{P_i \times D_i}{2 \times \sigma_\theta \times \eta_l} \]

Where:

\( t \) — Thickness Of Thin Shell (m)
\( P_i \) — Internal Pressure in thin shell (Pa)
\( D_i \) — Inner Diameter of Cylinderical Vessel (m)
\( \sigma_\theta \) — Hoop Stress in Thin shell (Pa)
\( \eta_l \) — Efficiency of Longitudinal Joint (0-1)

Explanation: The formula determines the minimum thickness required to withstand internal pressure while considering material strength and joint integrity.

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, hoop stress in Pascals, and joint efficiency as a decimal between 0-1. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is hoop stress in a cylindrical vessel?
A: Hoop stress is the circumferential stress that develops in the walls of a cylindrical vessel when subjected to internal pressure.

Q2: Why is joint efficiency important?
A: Joint efficiency accounts for the strength reduction at welded joints compared to the base material, typically ranging from 0.6 to 1.0.

Q3: What safety factors should be considered?
A: Engineering codes typically require additional safety factors beyond the calculated thickness to account for material variations, corrosion, and other uncertainties.

Q4: When is this formula applicable?
A: This formula is valid for thin-walled vessels where the wall thickness is less than about 1/10 of the vessel diameter.

Q5: How does temperature affect the calculation?
A: Temperature affects material properties. At elevated temperatures, material strength decreases, which may require additional thickness or different materials.