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Mechanics

Rectangular Section Properties

Enter values in the stated units. Example inputs are provided to help you explore the method.

Inputs

Results

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Method & assumptions

  1. Concentric rectangular opening with sharp corners. Set both inner dimensions to zero for solid. A = bh − bi hi; Ix = (b h³ − bi hi³)/12; Iy = (h b³ − hi bi³)/12. Wall thickness may differ horizontally and vertically.
  2. All dimensions in metres. Axes pass through the centroid: x horizontal, y vertical. Centroid coordinates are measured from the bottom-left of the outer bounding box. These are area properties, not mass moments of inertia.
  3. Sx = Ix/(outer height/2), Sy = Iy/(outer width/2); rx = √(Ix/A), ry = √(Iy/A). The section modulus has dimensions of length cubed, but is not a volume of material.
  4. Polar area moment Jp = Ix + Iy. It equals the Saint-Venant torsion constant for a circular solid/annulus, not for a rectangle. No rounded corners, eccentric void, strength rating, local buckling or design-code check is included.

Sources