Hoop Stress Calculator

About the Hoop Stress Calculator

The Hoop Stress Calculator is a practical tool for engineers, designers, and students to determine the circumferential (hoop) stress in thin-walled cylindrical pressure vessels subjected to internal pressure. By entering the internal pressure, cylinder radius, and wall thickness, this calculator computes the hoop stress in Pascals (Pa) or Megapascals (MPa), enabling accurate stress analysis for safe design.

What You Can Calculate

• Hoop Stress (σ_h): The circumferential stress around the vessel wall.
• Pressure Effects: Analyze how internal pressure affects the vessel wall stress.
• Wall Thickness Impact: Assess how varying wall thickness changes hoop stress levels.

Formula Used

• σ_h = (P × r) / t
• Where:
• σ_h = Hoop stress (Pa or MPa)
• P = Internal pressure (Pa)
• r = Cylinder radius (m)
• t = Wall thickness (m)

How to Use the Calculator

1. Enter the internal pressure (P) of the cylinder and select the appropriate unit (Pa, kPa, MPa).
2. Enter the cylinder radius (r) and select the unit (m, cm, mm).
3. Enter the wall thickness (t) and select the unit (m, cm, mm).
4. The calculator will automatically compute the hoop stress (σ_h) and display results in both Pa and MPa.
5. Adjust inputs to explore the effects of changing pressure, radius, or wall thickness on hoop stress.

Applications of Hoop Stress Analysis

• Pressure Vessel Design: Ensure cylinders, tanks, and pipes withstand internal pressure safely.
• Mechanical & Structural Engineering: Evaluate stress in thin-walled tubes and cylindrical components.
• Safety Assessment: Prevent failure due to excessive circumferential stress.
• Educational Purposes: Learn hoop stress calculations for engineering studies and material selection.
• Design Optimization: Adjust wall thickness and material properties to achieve safe and efficient designs.