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📐 Section Modulus Calculator
Calculate section modulus, moment of inertia, and bending stress for various cross-sections
📐 Section Modulus Formulas
S = I/y_max
σ = M/S (Bending Stress)
I = ∫y²dA (Moment of Inertia)
S = bh²/6 (Rectangle)
S = section modulus, I = moment of inertia, y_max = distance to extreme fiber, σ = stress, M = moment
Section Modulus S:
Moment of Inertia I:
Distance to Extreme Fiber:
Cross-Sectional Area:
Bending Stress:
Shape Efficiency:
💡 Tips
- Section modulus is a measure of a beam's resistance to bending
- Higher section modulus means better resistance to bending
- I-beams are efficient because most material is far from neutral axis
- For maximum efficiency, maximize I while minimizing area
- Section modulus units are typically mm³ or in³
- Use parallel axis theorem for composite sections