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Geometrical Properties of Right Triangle


right-triangle.png

Side lengths

a = m, b = m

Area

A = a·b/2 m2

Perimeter

P = a + b + a2 + b2 m2

Centroid

yc = a/3 m

zc = b/3 m

Second moments of area

Iy = a·b3/36 m4

Iz = a3·b/36 m4

Iyz = -a2·b2/72 m4

Principal area moments

I1 = (Iy + Iz)/2 + (IyIz)2/4 + Iyz2 m4

I2 = (Iy + Iz)/2 – (IyIz)2/4 + Iyz2 m4

Angle of principal axis

α1 = atan((IyI1)/Iyz) о

Polar moment of area

Ix = Iy + Iz

Radii of gyration

ry = √Iy/A m

rz = √Iz/A m

r1 = √I1/A m

r2 = √I2/A m

rx = √Ix/A m


Substitute