MOMENT OF INERTIA, CENTROID AND AREA OF ISOSCELES TRIANGLE

Area, moment of inertia and centroid of isosceles triangle.

Unit System (Quick selection)	Metric Inch
INPUT PARAMETERS
Parameter	Value
Equal sides length [a]		mm cm m inch ft
Remaining side [b]

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RESULTS
Parameter	Value
Cross section area [A]	---	mm^2 cm^2 inch^2 ft^2
Second moment of area about x axis [Ix]	---	mm^4 cm^4 inch^4 ft^4
Second moment of area about y axis [Iy]	---
Radius of gyration [rx]	---	mm cm m inch ft
Radius of gyration [ry]	---
Altitude [h]	---	mm cm m inch ft
Distance from the centroid to the vertice [xc]	---
Distance from the centroid to the vertice [yc]	---

Note: Use dot "." as decimal separator.

Definitions:

Equilateral Triangle: A triangle with all three sides of equal length.

Second Moment of Area: The capacity of a cross-section to resist bending.

Radius of Gyration (Area): The distance from an axis at which the area of a body may be assumed to be concentrated and the second moment area of this configuration equal to the second moment area of the actual body about the same axis.

Isosceles Triangle Formula:

Isosceles Triangle
Parameter	Symbol	Equation
Cross section area	A	A = b*h/2
Altitude	h	h=(a2-(b2*1/4))0.5
Area moment of inertia	Ix	Ix = (b*h3)*1/36
Area moment of inertia	Iy	Iy = (h*b3)*1/48
Distance from the centroid to the back of the long leg	xc	xc=b/2
Distance from the centroid to the back of the short leg	yc	yc=h*2/3
Radius of gyration	rx	rx = 0.2357*h
Radius of gyration	ry	ry = 0.2041*b

Supplements:

• Standard Beam Channel Sizes Dimensions
• Section Properties Calculators

Reference:

• Young.W.C., Budynas.R (2011). Roark's Formulas for Stress and Strain, 8th Edition . McGraw-Hill, Appendix A