Cylinder Wall Thickness of Thin Cylinder given Longitudinal Stress Calculator

Formula Used:

\[ t_w = \frac{P_i \times d_i}{4 \times \sigma_l} \]

Internal Pressure on Cylinder (P_i):

Inner Diameter of Pressurized Cylinder (d_i):

Longitudinal Stress in Pressurized Cylinder (σ_l):

Thickness of Pressurized Cylinder Wall (t_w):

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1. What is Cylinder Wall Thickness Calculation?

The cylinder wall thickness calculation determines the minimum required thickness of a thin-walled cylindrical pressure vessel to withstand internal pressure while considering longitudinal stress. This is crucial for designing safe and efficient pressure vessels in various engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ t_w = \frac{P_i \times d_i}{4 \times \sigma_l} \]

Where:

\( t_w \) — Thickness of pressurized cylinder wall (m)
\( P_i \) — Internal pressure on cylinder (Pa)
\( d_i \) — Inner diameter of pressurized cylinder (m)
\( \sigma_l \) — Longitudinal stress in pressurized cylinder (Pa)

Explanation: This formula calculates the minimum wall thickness required for a thin-walled cylinder to withstand the internal pressure without exceeding the allowable longitudinal stress.

3. Importance of Wall Thickness Calculation

Details: Accurate wall thickness calculation is essential for pressure vessel design to ensure structural integrity, prevent failure under pressure, optimize material usage, 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 and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a thin-walled cylinder?
A: A thin-walled cylinder is one where the wall thickness is less than 1/10th of the internal diameter, allowing for simplified stress calculations.

Q2: How does longitudinal stress differ from hoop stress?
A: Longitudinal stress acts parallel to the cylinder's axis, while hoop stress acts circumferentially. They have different formulas and typically different magnitudes.

Q3: What safety factors should be considered?
A: Engineering designs typically include safety factors to account for material variations, manufacturing tolerances, and unexpected load conditions.

Q4: When is this formula not applicable?
A: This formula is for thin-walled cylinders only. For thick-walled cylinders (t/d > 0.1), more complex formulas considering radial stress are required.

Q5: How does temperature affect the calculation?
A: Temperature can affect material properties (strength, elasticity) and may cause thermal expansion, which should be considered in high-temperature applications.