Introduction

Welcome to our moment of inertia calculator for a triangular section. Enter the height (H) and width (B) of your section below, and see the results in the output section below.
This tool calculates Ixx and Iyy about the centroidal axis.

Calculations

⬇️ Inputs



H
:150mm

b2>0 if angle α is acute (<90°)


B1
:500mm

b2<0 if angle α is obtuse (>90°)


B2
:123mm

b2=0 for right triangle


⬆️ Outputs

Moment of inertia


Ixx (mm4)
:46875000



Iyy (mm4)
:424227083


Dimensions


Area
:37500mm2



xc
:207.666667mm



yc
:50mm



alpha
:13.8203395deg



Explanation

The moment of inertia of a triangular section can be calculated using the equations shown to the right. B1 represents the section's width, and H is its height.

Triangular Section

b2>0 if angle α is acute (<90°)
b2<0 if angle α is obtuse (>90°)
b2=0 for right triangle