Stress, Strain & Young's Modulus Calculator (Hooke's Law)
Calculate normal stress (MPa), axial strain (µε), Young's modulus of elasticity (E), and yield safety factor.
Input Parameters
e.g. 200 mm² (16mm circular rod ≈ 201 mm²)
Structural Steel Grade 300/350 ≈ 300-350 MPa, Al 6061-T6 ≈ 275 MPa
Calculation Results
Formula & How Stress, Strain & Young's Modulus Calculator (Hooke's Law) Works
Hooke's Law governs linear elastic deformation: within the elastic limit, normal stress is directly proportional to axial strain ($E = \sigma / \varepsilon$). Exceeding the yield strength results in permanent plastic deformation and structural failure.
- Enter Applied Force / Load (kN) (kN): Input your target parameter value.
- Enter Cross-Sectional Area (mm²) (mm²): Input your target parameter value.
- Enter Original Gauge Length L₀ (mm) (mm): Input your target parameter value.
- Enter Elongation / Deflection ΔL (mm) (mm): Input your target parameter value.
- Enter Material Yield Strength (MPa) (MPa): Input your target parameter value.
- Apply Formula: Calculate using
Stress σ = F ÷ A | Strain ε = ΔL ÷ L₀ | Young's Modulus E = σ ÷ ε | Factor of Safety = σ_yield ÷ σ. - Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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Frequently Asked Questions (FAQs)
What is the difference between stress and strain?
Stress ($\sigma$) is the internal force per unit area within a material (measured in MPa or psi), whereas Strain ($\varepsilon$) is the proportional deformation or elongation relative to original length (dimensionless).
Authoritative Standards & Verified Reference Citations
Calculations and mathematical logic on this page are grounded in published statutory rules, regulatory standards, and official government data published by the following bodies:
Australian Standards including AS/NZS 3000 (Wiring Rules), AS 3600 (Concrete Structures), and AS 4100 (Steel Structures).
Accreditation and technical guidelines for civil, structural, mechanical, and electrical engineering.
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