Thin Cylinder Stress Calculator

Calculate hoop stress and longitudinal stress in a thin-walled pressure vessel

About Thin Cylinder Stress Calculator

This Thin Cylinder Stress Calculator helps students calculate hoop stress and longitudinal stress in a thin-walled pressure vessel. These stresses are important in mechanical engineering design.

Formulas Used

  • Hoop Stress (σh) = (p × d) / (2 × t)
  • Longitudinal Stress (σl) = (p × d) / (4 × t)

Where:

  • p = Internal Pressure (N/mm²)
  • d = Internal Diameter (mm)
  • t = Wall Thickness (mm)

Why Use This Tool?

  • ✅ Quick calculation of cylinder stresses
  • ✅ Useful for pressure vessel design problems
  • ✅ Based on Strength of Materials concepts
  • ✅ Saves time in exams and assignments

FAQs

1. What is hoop stress?

Hoop stress (circumferential stress) is the stress acting around the circumference of the cylinder due to internal pressure.

2. What is longitudinal stress?

Longitudinal stress acts along the length of the cylinder due to internal pressure.

3. When is a cylinder considered "thin-walled"?

A cylinder is considered thin when the wall thickness (t) is less than 1/10th of the diameter (d).

4. Why is this calculation important?

It is critical in the design of boilers, pipes, and pressure vessels where safety is a priority.