Internal Diameter Of Pressurized Cylinder Calculator

Formula Used:

\[ d_i = \frac{2 \times t_w}{\left(\sqrt{\frac{\sigma_t + P_i}{\sigma_t - P_i}} - 1\right)} \]

Thickness of pressurized cylinder wall:

Permissible Tensile stress in pressurized cylinder:

Internal pressure on cylinder:

Inner diameter of pressurized cylinder:

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1. What is the Internal Diameter of Pressurized Cylinder Formula?

The formula calculates the inner diameter of a pressurized cylinder based on wall thickness, permissible tensile stress, and internal pressure. It ensures the cylinder can safely withstand the internal pressure without failure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ d_i = \frac{2 \times t_w}{\left(\sqrt{\frac{\sigma_t + P_i}{\sigma_t - P_i}} - 1\right)} \]

Where:

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

Explanation: The formula determines the maximum internal diameter that can be safely achieved given the material properties and pressure conditions.

3. Importance of Cylinder Design Calculation

Details: Accurate calculation of internal diameter is crucial for designing pressure vessels that can safely contain internal pressures while maintaining structural integrity and preventing failure.

4. Using the Calculator

Tips: Enter wall thickness in meters, permissible tensile stress in Pascals, and internal pressure in Pascals. All values must be positive, and the tensile stress must be greater than the internal pressure.

5. Frequently Asked Questions (FAQ)

Q1: What units should be used for input values?
A: Use meters for thickness, Pascals for stress and pressure. Ensure consistent units throughout the calculation.

Q2: Why must tensile stress be greater than internal pressure?
A: The formula requires σt > Pi to ensure the square root term remains real and positive, which is necessary for valid physical results.

Q3: What are typical values for permissible tensile stress?
A: Permissible tensile stress varies by material but typically ranges from 50-500 MPa for common engineering materials.

Q4: Can this formula be used for external pressure applications?
A: No, this formula is specifically designed for internally pressurized cylinders. External pressure requires different buckling analysis.

Q5: What safety factors are considered in this calculation?
A: The permissible tensile stress typically already includes appropriate safety factors for the specific material and application.