🔧 Stress & Strain Calculator

Analyze material behavior under loading conditions. Calculate stress, strain, elastic modulus, and safety factors with interactive diagrams and comprehensive analysis.

Analysis Type

Material & Loading

Stress Diagram

Analysis Results

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Stress-Strain Curve

Stress Fundamentals

Stress is the internal force per unit area within a material. Different types of stress affect materials in various ways:

σ = F/A
Normal Stress = Force / Cross-sectional Area
Ï„ = F/A
Shear Stress = Shear Force / Area

Strain Analysis

Strain measures the deformation of a material relative to its original dimensions:

ε = ΔL/L₀
Normal Strain = Change in Length / Original Length
γ = Δx/h
Shear Strain = Lateral Displacement / Height

Material Properties

  • Elastic Modulus (E): Slope of stress-strain curve in elastic region
  • Yield Strength: Stress at which plastic deformation begins
  • Ultimate Strength: Maximum stress before failure
  • Poisson's Ratio: Ratio of lateral to axial strain
  • Safety Factor: Ratio of yield strength to applied stress

Engineering Applications

  • Structural Design: Building columns, beams, and foundations
  • Mechanical Components: Shafts, gears, and machine parts
  • Aerospace: Aircraft wings, fuselage, and engine components
  • Civil Engineering: Bridges, towers, and infrastructure
  • Material Testing: Quality control and material characterization