Triangular Section

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.
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b2>0 if angle α is acute (<90°)
b2<0 if angle α is obtuse (>90°)
b2=0 for right triangle
This tool calculates Ixx and Iyy about the centroidal axis.
CalculationsInputs﻿﻿H
:150mm​
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b2>0 if angle α is acute (<90°)
﻿﻿B1
:500mm​
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b2<0 if angle α is obtuse (>90°)
﻿﻿B2
:123mm​
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b2=0 for right triangle
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OutputsMoment of inertia
﻿﻿Ixx
:46875000mm4​
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﻿﻿Iyy
:424227083mm4​
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Dimensions
﻿﻿Area
:37500mm2​
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﻿﻿xc
:207.666667mm​
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﻿﻿yc
:50mm​
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﻿﻿alpha
:13.8203395deg​
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ExplanationThe 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.
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Ixx=B1H336 Iyy=B1H(B12−B1B2+B22)36I_{xx} = \frac{B_{1}H^3}{36} \\\ \\ I_{yy} = \frac{B_{1}H(B_{1}^2-B_{1}B_{2}+B_{2}^2)}{36}Ixx​=36B1​H3​ Iyy​=36B1​H(B12​−B1​B2​+B22​)​
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Moment of Inertia Calculator: Triangular Section

Calculations

Inputs

Outputs

Explanation

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