EQUILATERAL TRIANGLE AREA, HEIGHT AND SECTION PROPERTIES CALCULATOR


Equilateral triangle area, altitude (height), distances from the centroidal axes to the vertices , second moment of area and radius of gyration about the centroidal axes are calculated parameters by following calculator.

Equilateral triangle formulas for calculations are given in the "List of Equations" section.


Triangle Section Properties Calculator:

Sectional properties of equilateral triangle
Unit System (Quick selection)
INPUT PARAMETERS
Parameter Value
Side length [a]

RESULTS
Parameter Value
Cross section area [A] ---
Second moment of area about x axis [Ix] ---
Second moment of area about y axis [Iy] ---
Radius of gyration [rx] ---
Radius of gyration [ry] ---
Altitude [h] ---
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.

List of Equations:

Equilateral Triangle
Sectional properties of 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

Reference: