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Diameter Of Cylinder Given Longitudinal Stress In Wire Due To Fluid Pressure Calculator

Formula Used:

\[ D = \frac{\sigma_l \times (4 \times t)}{P_i} \]

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m
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1. What is Diameter Of Cylinder Given Longitudinal Stress In Wire Due To Fluid Pressure?

This calculation determines the diameter of a cylinder when subjected to internal fluid pressure, considering the longitudinal stress in the wire and the thickness of the wire material.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ D = \frac{\sigma_l \times (4 \times t)}{P_i} \]

Where:

Explanation: The formula calculates the required cylinder diameter based on the longitudinal stress experienced by the wire due to internal fluid pressure and the wire thickness.

3. Importance of Diameter Calculation

Details: Accurate diameter calculation is crucial for designing pressure vessels and cylindrical containers to ensure structural integrity and prevent failure under internal pressure.

4. Using the Calculator

Tips: Enter longitudinal stress in Pascals, thickness in meters, and internal pressure in Pascals. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is longitudinal stress in a cylinder?
A: Longitudinal stress is the stress acting along the length of the cylinder, parallel to its axis, caused by internal pressure.

Q2: Why is wire thickness important in this calculation?
A: Wire thickness directly affects the cylinder's ability to withstand internal pressure and maintain structural stability.

Q3: What units should be used for input values?
A: All inputs should be in SI units - Pascals for stress and pressure, meters for thickness and diameter.

Q4: What are typical applications of this calculation?
A: This calculation is used in designing pressure vessels, hydraulic cylinders, pipelines, and other cylindrical containers under internal pressure.

Q5: Are there limitations to this formula?
A: This formula assumes uniform material properties, perfect cylindrical geometry, and may not account for external loads or temperature variations.

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