area

Trapezoid Moment of Inertia Calculator

Explore centroidal area moments for trapezoidal cross-sections.

Trapezoid Moment of Inertia Calculator

Geometry input

Define your section

01 / INPUT

Trapezoid section

Length of the bottom parallel side

Length of the top parallel side

Distance between the parallel bases

Live analysis

Calculated properties

02 / OUTPUT
Trapezoid section
8,222,222
mm⁴
Iy8,666,667 mm⁴
Area10,000 mm²
Centroid from bottom46.66667 mm
Applied formulaIx = Ix about base − A·ȳ²; Iy assumes a centred trapezoid
Assumptions and limitations
  • Iy assumes the top and bottom bases share a vertical centreline.

Length inputs are converted to millimetres for calculations. Review the assumptions before using results in engineering work.

About this calculation

Enter the required dimensions and select the appropriate length unit. The calculator displays results based on the selected calculation and its stated assumptions.

Moment of inertia and related section properties depend on the geometry, reference axes, units, and assumptions used. Review the displayed formula and assumptions before using any result.

These tools are intended for educational and preliminary engineering calculations. Independently verify critical results before using them in engineering design or safety-related work.

Calculation methodology

Learn about formulas, units, assumptions, and calculation limitations in our calculation methodology.

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