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Geometrical Properties of Equilateral Triangle


equilateral-triangle.png

Side length

a = m

Height

h = √3/2·a m

Area

A = a·h/2 m2

Perimeter

P = 3·a m

Centroid

yc = a/2 m

zc = h/3 m

Second moments of area

Iy = a·h3/36 m4

Iz = a3·h/48 m4

Polar moment of area

Ix = Iy + Iz m4

Torsional constant

It = a4·√3/80 m4

Torsional section modulus

Wt = a3/20 m3

Radii of gyration

ry = √Iy/A m

rz = √Iz/A m

rx = √Ix/A m


Substitute