Use this engineering calculation for a transparent preliminary estimate or independent arithmetic check when geometry, materials, loads, operating conditions, and units are defined consistently.

Internal Pressure Pascals (Pa)

Required number input.

Inner Radius Meters (m)

Required number input.

Outer Radius Meters (m)

Required number input.

Lamé hoop stress at the inner wall of a thick cylinder under internal pressure only; assumes elastic axisymmetric conditions. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Inner Hoop Stress Pascals (Pa)

The resulting inner hoop stress pascals returned as a number.

• Stress, strain, section, and torsion equations assume stated geometry, loads, supports, material behavior, and small deformation. Stress concentrations, instability, fatigue, fracture, plasticity, residual stress, and code factors may govern.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Check assumptions against drawings, measurements, current material data, and the applicable design code. Apply required load combinations and safety factors, then obtain qualified review and testing for consequential designs.

• Thin Walled Hoop Stress

  Thin-walled cylindrical pressure-vessel hoop stress pr/t; requires wall thickness small relative to radius.

• Thin Walled Torsion

  Bredt–Batho mean shear stress in a closed thin-walled single-cell section with uniform wall thickness: τ=T/(2Amt).

• Youngs Modulus

  Young’s modulus from uniaxial engineering stress and elastic engineering strain; use only within the linear elastic region.