Section Properties Calculator

Calculate centroidal area, second moment of area, section modulus and polar moment for simple solid sections.

Section shape

Width (b)

Depth (h)

Area (A)5,000 mm²7.75 in²

Strong-axis I4,166,666.667 mm⁴10.0105 in⁴

Weak-axis I1,041,666.667 mm⁴2.5026 in⁴

Strong-axis section modulus (S)83,333.333 mm³5.0853 in³

Polar moment (J)5,208,333.333 mm⁴Centroidal axes

Scope: centroidal properties for an ideal solid rectangle or circle only. Built-up, hollow, composite, rotated or asymmetric sections need their own section-property method.

Method

For a rectangle, I_x = bh³/12 and I_y = hb³/12. For a solid circle, I = πd⁴/64 and J = πd⁴/32.

Worked example

A 50 mm × 100 mm rectangle has area 5,000 mm² and strong-axis second moment of area 4.167 × 10⁶ mm⁴.

Important limits

These are centroidal properties for ideal solid shapes only. Do not use them directly for a hollow, built-up, composite, offset or perforated section without calculating the correct geometry.

Method

Worked example

Important limits

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