Section Modulus Calculator

Inputs

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Cross-section profile. Bending is about the horizontal centroidal axis.
Horizontal width of the rectangular section.
mm
Vertical depth (in the plane of bending) — depth helps most, I grows with h³.
mm

Results

Default result
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Area moment of inertia(I)
416.67cm⁴
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About the horizontal centroidal (neutral) axis.

Also computed

Section modulus(S)83.333cm³

S = I / c, used as σ = M / S.

Cross-section area(A)5,000mm²

Neutral-axis distance(c)50mm

Centroid to the extreme fibre.

Method notes 4 notes
  • Section modulus S = I / c, where I is the area moment of inertia and c the distance from the neutral axis to the extreme fibre.
  • For a rectangle (solid): I = b·h³/12, S = b·h²/6, c = h/2.
  • This section is symmetric about the bending axis, so the neutral axis is the centroid and c is half the depth.
  • Bending stress is σ = M / S — a larger S carries more bending moment for the same stress.

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