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.

Mean Radius Meters (m)

Required number input.

Wall Thickness Meters (m)

Required number input.

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

Hoop Stress Pascals (Pa)

The resulting 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.

• Thick Walled Hoop Stress

  Lamé hoop stress at the inner wall of a thick cylinder under internal pressure only; assumes elastic axisymmetric conditions.

• Thin Walled Torsion

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

• Bending Allowance Sheet Metal

  Sheet-metal bend allowance from bend angle, inside radius, thickness and specified K-factor: BA=θ(R+Kt).