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.
﻿
﻿
﻿
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​
﻿
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
﻿
OutputsMoment of inertia
﻿﻿Ixx
:46875000mm4​
﻿
﻿﻿Iyy
:424227083mm4​
﻿
﻿
Dimensions
﻿﻿Area
:37500mm2​
﻿
﻿﻿xc
:207.666667mm​
﻿
﻿﻿yc
:50mm​
﻿
﻿﻿alpha
:13.8203395deg​
﻿
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.
﻿
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​)​
﻿
﻿
﻿
💬 We'd love your feedback on this template! It takes 1min!
Duplicate and customise this template!Did you know you can customise this template to your exact needs? Start creating a repository of reusable calculations for your company. Click 'Duplicate' on the top right now!
﻿
Related ResourcesIf you liked this, check out our other articles and resources!
Check out our library of templates here!
More physics calculators and explanations
Beam analysis tool
Elastic section modulus
Radius of Gyration In Structural Engineering
Slenderness ratio calculator
Steel Beam and Column Designer to AISC
Steel Beam and Column Designer to AS4100