Longitudinal Stress In Wire Due To Fluid Pressure Calculator

Formula Used:

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

Longitudinal Stress (σ_l):

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1. What is Longitudinal Stress?

Longitudinal Stress is defined as the stress produced when a pipe or cylinder is subjected to internal pressure. It acts parallel to the longitudinal axis of the cylinder and is an important factor in pressure vessel design and analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( \sigma_l \) — Longitudinal Stress (Pa)
\( P_i \) — Internal Pressure (Pa)
\( D \) — Diameter of Cylinder (m)
\( t \) — Thickness Of Wire (m)

Explanation: This formula calculates the stress developed along the longitudinal direction of a cylindrical pressure vessel due to internal fluid pressure.

3. Importance of Longitudinal Stress Calculation

Details: Accurate calculation of longitudinal stress is crucial for pressure vessel design, ensuring structural integrity, preventing failure, and meeting safety standards in various engineering applications.

4. Using the Calculator

Tips: Enter internal pressure in Pascals, diameter in meters, and thickness in meters. All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What units should be used for input values?
A: Internal pressure should be in Pascals (Pa), diameter in meters (m), and thickness in meters (m) for consistent results.

Q2: How does longitudinal stress differ from hoop stress?
A: Longitudinal stress acts parallel to the cylinder's axis, while hoop stress acts circumferentially. Hoop stress is typically twice the longitudinal stress in thin-walled cylinders.

Q3: What are typical applications of this calculation?
A: This calculation is essential for designing pressure vessels, pipelines, hydraulic cylinders, and any cylindrical containers subjected to internal pressure.

Q4: Are there limitations to this formula?
A: This formula is primarily valid for thin-walled cylinders where the wall thickness is less than one-tenth of the diameter. For thick-walled cylinders, more complex formulas are required.

Q5: How does material properties affect longitudinal stress?
A: While this formula calculates the stress, the material's yield strength and safety factors determine whether the calculated stress is acceptable for the application.