Centrifugal Stress in Rotating Disk Calculator

Calculate radial stress σ_r and hoop stress σ_θ in a rotating disk using Lamé equations. Inputs: inner/outer radii, material density ρ, Poisson's ratio ν, and angular velocity ω.

2D stress state at a point. All stresses in MPa.

σx — Normal Stress X (MPa)
σy — Normal Stress Y (MPa)
τxy — Shear Stress (MPa)
⚙ Mechanical Note: Results are based on standard textbook formulas and ISO/AASHTO references. Always verify critical designs with applicable codes (ISO 898, AASHTO 1993, AISC, Eurocode 3) and a qualified engineer.
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How It Works

Calculate radial stress σ_r and hoop stress σ_θ in a rotating disk using Lamé equations. Inputs: inner/outer radii, material density ρ, Poisson's ratio ν, and angular velocity ω

Each component has a specific meaning:

  • Lamé equations — The lamé equations recorded for the patient or scenario being assessed.

Note: Interpret the centrifugal disk stress result against the clinical thresholds and context described above.

How to Use

Enter the Lamé equations for the patient or scenario you are assessing. Calculate radial stress σ_r and hoop stress σ_θ in a rotating disk using Lamé equations. Inputs: inner/outer radii, material density ρ, Poisson's ratio ν, and angular velocity ω. Use the centrifugal disk stress result to inform your clinical assessment.

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Frequently Asked Questions