Mechanical Stress & Strain Calculator (Hooke's Law σ = E ε)
Strength of materials and mechanical engineering tool. Evaluates elastic response of structural members subject to axial tension or compression forces.
Input Parameters
Instant Calculation Result
Adjust values on the left to calculate live results.
In-Depth Guide & Mathematical Methodology
🔩 Hooke's Law & Stress-Strain Formula
Stress (σ): σ = F / A (1 N/mm² = 1 MPa)
Strain (ε): ε = ΔL / L₀
Hooke's Law: σ = E × ε ➔ ΔL = (F × L₀) / (A × E)
Frequently Asked Questions (FAQ)
What is the Mechanical Stress & Strain Calculator (Hooke's Law σ = E ε) and how does it work?
Strength of materials and mechanical engineering tool. Evaluates elastic response of structural members subject to axial tension or compression forces.
How do I use this Mechanical Stress & Strain Calculator (Hooke's Law σ = E ε)?
Enter Applied Axial Force ($F$ in Newtons - N). Enter Member Cross-Sectional Area ($A$ in mm²). Enter Member Initial Length ($L_0$ in meters). Select Elastic / Young's Modulus ($E$, e.g. Steel = 200 GPa). View Axial Stress ($σ$ in MPa) and Total Elongation ($θ$ in mm).
What mathematical formula is used in this calculation?
Stress σ = F / A (in MPa if F in N and A in mm²). Elongation δ = (F * L0) / (A * E).
Is the Mechanical Stress & Strain Calculator (Hooke's Law σ = E ε) on FindCalculator free to use?
Yes, all 330+ interactive tools on FindCalculator.online are 100% free, run directly in your browser without registration, and do not store your private calculation data.