External Pressure Acting On Thick Cylinder Given Radial Stress Calculator

Formula Used:

\[ P_o = \frac{\sigma_r}{\left(\frac{d_o^2}{d_o^2 - d_i^2}\right) \times \left(\frac{d_i^2}{4 \times r^2} + 1\right)} \]

Radial Stress in Pressurized Cylinder (σr):

Pascal

Outer Diameter of Pressurized Cylinder (do):

Meter

Inner Diameter of Pressurized Cylinder (di):

Meter

Radius of Pressurized Cylinder (r):

Meter

External Pressure on Cylinder (Po):

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1. What is External Pressure on Cylinder?

External pressure on cylinder is the amount of pressure of force per unit area acting onto the external surface of a cylinder. It's a critical parameter in pressure vessel design and structural integrity analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_o = \frac{\sigma_r}{\left(\frac{d_o^2}{d_o^2 - d_i^2}\right) \times \left(\frac{d_i^2}{4 \times r^2} + 1\right)} \]

Where:

\( P_o \) — External pressure on cylinder (Pascal)
\( \sigma_r \) — Radial stress in pressurized cylinder (Pascal)
\( d_o \) — Outer diameter of pressurized cylinder (Meter)
\( d_i \) — Inner diameter of pressurized cylinder (Meter)
\( r \) — Radius of pressurized cylinder (Meter)

Explanation: This formula calculates the external pressure acting on a thick-walled cylinder based on the radial stress and geometric parameters of the cylinder.

3. Importance of External Pressure Calculation

Details: Accurate calculation of external pressure is crucial for designing pressure vessels, pipelines, and cylindrical structures to ensure they can withstand external loading conditions without failure.

4. Using the Calculator

Tips: Enter radial stress in Pascal, diameters and radius in meters. All values must be positive and valid (outer diameter > inner diameter > 0, radius > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is radial stress in a pressurized cylinder?
A: Radial stress is defined as the stress produced in the curved surface of a cylinder radially when a cylinder object is subjected to internal or external pressure.

Q2: When is this formula applicable?
A: This formula is specifically designed for thick-walled cylinders under external pressure loading conditions.

Q3: What units should be used for input values?
A: Stress should be in Pascal, and all length measurements (diameters, radius) should be in meters for consistent results.

Q4: Are there limitations to this equation?
A: This equation assumes homogeneous material properties and may have limitations for extremely thin-walled or very thick cylinders with complex loading conditions.

Q5: How does external pressure affect cylinder design?
A: External pressure can cause buckling or collapse in cylindrical structures, making accurate pressure calculation essential for safe design and operation.