Easy Section Properties for Array of Points © Oct 2022

Easy Section Property Formulas ©

I’ve never seen these formulas for section modulus and moment of inertia published.

Section Properties

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My section properties derivations were confirmed by my reading of Finite Calculus: A Tutorial for Solving Nasty Sums, David Gleich (2005)

Alternate Derivation

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Formulas ©

For $Q$ points equally spaced at $s$ :

$\boxed{\text{Section Modulus} = \frac{s(Q+1)(Q)}{6}}$

$\boxed{\text{Moment of Inertia} = \frac{s^2(Q+1)(Q)(Q-1)}{12}}$

Full Example