Internal Pressure In Thin Cylinder Given Tangential Stress Calculator

Formula Used:

\[ \text{Internal Pressure on Cylinder} = \frac{2 \times \text{Thickness of Pressurized Cylinder Wall} \times \text{Tangential Stress in Pressurized Cylinder}}{\text{Inner Diameter of Pressurized Cylinder}} \]

Thickness of Pressurized Cylinder Wall:

Tangential Stress in Pressurized Cylinder:

Inner Diameter of Pressurized Cylinder:

Internal Pressure on Cylinder:

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1. What is the Internal Pressure in Thin Cylinder Formula?

The Internal Pressure in Thin Cylinder formula calculates the internal pressure acting on a cylindrical vessel based on wall thickness, tangential stress, and inner diameter. This formula is essential for pressure vessel design and structural integrity analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Internal Pressure} = \frac{2 \times \text{Wall Thickness} \times \text{Tangential Stress}}{\text{Inner Diameter}} \]

Where:

Wall Thickness — Thickness of the cylinder wall (m)
Tangential Stress — Stress experienced by cylinder walls perpendicular to central axis (Pa)
Inner Diameter — Internal diameter of the pressurized cylinder (m)

Explanation: This formula derives from the fundamental relationship between internal pressure, wall stress, and geometric dimensions in thin-walled pressure vessels.

3. Importance of Internal Pressure Calculation

Details: Accurate internal pressure calculation is crucial for designing safe pressure vessels, determining material requirements, and ensuring structural integrity under operating conditions.

4. Using the Calculator

Tips: Enter wall thickness in meters, tangential stress in Pascals, and inner diameter in meters. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What constitutes a "thin" cylinder?
A: A cylinder is considered thin-walled when the wall thickness is less than 1/10 to 1/20 of the inner diameter.

Q2: How does this formula differ for thick-walled cylinders?
A: Thick-walled cylinders require more complex formulas like Lame's equations that account for radial stress variations through the wall thickness.

Q3: What are typical units for these calculations?
A: While SI units (m, Pa) are used here, engineering practice often uses mm for dimensions and MPa for stress and pressure.

Q4: What safety factors should be considered?
A: Engineering designs typically include safety factors of 2-4 depending on the application and material properties.

Q5: Can this formula be used for non-cylindrical vessels?
A: No, this formula is specific to cylindrical geometry. Different formulas apply to spherical and other vessel shapes.