AREA MOMENT OF INERTIA OF EQUILATERAL TRIANGLE

Equilateral triangle area,  height and moment of inertia calculator.

Unit System (Quick selection)	Metric Inch
INPUT PARAMETERS
Parameter	Value
Side length [a]		mm cm m inch ft

Please Wait... 

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.

Equilateral Triangle Formula:

Equilateral Triangle
Parameter	Symbol	Equation
Cross section area	A	A = 0.4330a2
Altitude	h	h=a*(3^0.5)/2
Area moment of inertia	Ix	Ix = 0.01804a4
Area moment of inertia	Iy	Iy = 0.01804a4
Distance from the centroid to the back of the long leg	xc	xc=0.5000a
Distance from the centroid to the back of the short leg	yc	yc=0.5774a
Radius of gyration	rx	rx = 0.2041a
Radius of gyration	ry	ry = 0.2041a

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