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.



Calculator:

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

OUTPUT PARAMETERS
Parameter Symbol Value Unit
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
Step Parameter/Condition Symbol Equation
1 Cross section area A A = 0.4330a2
2 Altitude h h=a*(3^0.5)/2
3 Area moment of inertia Ix Ix = 0.01804a4
4 Area moment of inertia Iy Iy = 0.01804a4
5 Distance from the centroid to
the back of the long leg
xc xc=0.5000a
6 Distance from the centroid to
the back of the short leg
yc yc=0.5774a
7 Radius of gyration rx rx = 0.2041a
8 Radius of gyration ry ry = 0.2041a

Reference: