Longitudinal Stress In Thick Cylinder Subjected To Internal Pressure Calculator

Formula Used:

\[ \sigma_l = \frac{P_i \times d_i^2}{d_o^2 - d_i^2} \]

Internal Pressure On Cylinder (P_i):

Inner Diameter Of Pressurized Cylinder (d_i):

Outer Diameter Of Pressurized Cylinder (d_o):

Longitudinal Stress In Pressurized Cylinder (σ_l):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What Is Longitudinal Stress In Pressurized Cylinder?

Longitudinal stress in pressurized cylinder is defined as the stress produced in curved surface of a cylinder parallel to central axis subjected to internal pressure. It represents the axial stress component in cylindrical pressure vessels.

2. How Does The Calculator Work?

The calculator uses the formula:

\[ \sigma_l = \frac{P_i \times d_i^2}{d_o^2 - d_i^2} \]

Where:

\( \sigma_l \) — Longitudinal stress in pressurized cylinder (Pa)
\( P_i \) — Internal pressure on cylinder (Pa)
\( d_i \) — Inner diameter of pressurized cylinder (m)
\( d_o \) — Outer diameter of pressurized cylinder (m)

Explanation: This formula calculates the axial stress component in thick-walled cylinders subjected to internal pressure, considering both inner and outer diameters.

3. Importance Of Longitudinal Stress Calculation

Details: Accurate calculation of longitudinal stress is crucial for pressure vessel design, structural integrity assessment, and ensuring safety in engineering applications involving cylindrical containers under internal pressure.

4. Using The Calculator

Tips: Enter internal pressure in Pascals, inner and outer diameters in meters. All values must be positive, and outer diameter must be greater than inner diameter.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between longitudinal and hoop stress?
A: Longitudinal stress acts parallel to the cylinder axis, while hoop stress acts circumferentially around the cylinder. Both are important in pressure vessel design.

Q2: When is this formula applicable?
A: This formula applies to thick-walled cylinders subjected to internal pressure where wall thickness is significant compared to the diameter.

Q3: What are typical units for these measurements?
A: Pressure is typically measured in Pascals (Pa) or MPa, while diameters are measured in meters (m) or millimeters (mm).

Q4: How does wall thickness affect longitudinal stress?
A: Increased wall thickness (larger difference between outer and inner diameter) generally reduces longitudinal stress for a given internal pressure.

Q5: Are there limitations to this formula?
A: This formula assumes homogeneous material properties, uniform wall thickness, and elastic behavior under loading conditions.