Analysis of a Thick-Walled Elastic Cylinder

An Interactive Explorer with ✨ AI-Powered Insights

Introduction

This tool calculates and visualizes the stress distribution in a thick-walled cylinder subjected to internal pressure based on Lamé's equations. Use the controls to adjust the cylinder's geometry and pressure. Then, select a material and use the Gemini-powered AI analysis to evaluate your design's safety and get expert recommendations.

Cylinder Parameters

Value in mm
Value in mm
Value in MPa

AI Safety Analysis

Stress Distribution Profile

Calculated Results

Max Hoop Stress

0 MPa

(at inner radius, r=a)

Min Hoop Stress

0 MPa

(at outer radius, r=b)

Max Radial Stress

0 MPa

(compressive, at r=a)

Min Radial Stress

0 MPa

(at outer radius, r=b)

Governing Equations & Assumptions

Radial Stress (σr): Pi·a²/(b²-a²)·(1-b²/r²)

Hoop Stress (σh): Pi·a²/(b²-a²)·(1+b²/r²)

  • Material is linear, elastic, isotropic, and homogeneous.
  • Plane strain/stress condition (far from ends).
  • Stresses are within the material's elastic limit.