Mass moment of inertia is a mass property with units of mass*length^2. Section modulus is a cross-section property with units of length^3. Section modulus and mass moment of inertia are entirely different properties altogether. Therefore, the equation for maximum bending stress becomes: Since the stress is greatest at the farthest distance from the neutral axis, section modulus combines both the area moment of inertia and the maximum distance from the neutral axis into one term: Where σ is the stress in the beam, y is the distance from the neutral axis passing through the centroid, and I is the area moment of inertia. Section modulus and area moment of inertia are closely related, however, as they are both properties of a beam’s cross-sectional area.Īrea moment of inertia can be used to calculate the stress in a beam due to an applied bending moment at any distance from the neutral axis using the following equation:
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