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Change in External Load due to Pressure Inside Cylinder given kb and kc Calculator

Formula:

\[ \Delta P_i = P_{ext} \times \left( \frac{k_b}{k_c + k_b} \right) \]

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N/m
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1. What is Change in External Load due to Pressure Inside Cylinder?

Definition: This calculator determines the increase in bolt load caused by internal pressure in a cylinder, considering bolt stiffness and combined joint stiffness.

Purpose: It helps mechanical engineers and designers calculate how internal pressure affects bolt loading in pressurized cylinders.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \Delta P_i = P_{ext} \times \left( \frac{k_b}{k_c + k_b} \right) \]

Where:

  • \( \Delta P_i \) — Increase in bolt load (N)
  • \( P_{ext} \) — External load on bolt (N)
  • \( k_b \) — Stiffness of cylinder bolt (N/m)
  • \( k_c \) — Combined stiffness of joint (N/m)

Explanation: The formula calculates how much of the external load is transferred to the bolt based on the relative stiffnesses.

3. Importance of This Calculation

Details: Accurate bolt load calculation is critical for pressure vessel safety, preventing joint leakage, and ensuring proper bolt sizing.

4. Using the Calculator

Tips: Enter the external load, bolt stiffness, and combined joint stiffness. All values must be > 0. Results include ±5% tolerance.

5. Frequently Asked Questions (FAQ)

Q1: What does the ±5% represent?
A: It accounts for typical variations in material properties and manufacturing tolerances.

Q2: How do I determine bolt stiffness?
A: Bolt stiffness can be calculated from material properties and geometry or obtained from manufacturer specifications.

Q3: What's included in combined joint stiffness?
A: It includes the stiffness of cylinder cover, cylinder flange, and gasket working together.

Q4: Why is this calculation important?
A: It ensures bolts can withstand additional loads from internal pressure without failing.

Q5: How conservative is the ±5% tolerance?
A: For critical applications, more precise analysis may be needed based on specific conditions.

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