Section Properties — Triangle & Trapezoid

1

Geometry

Base b, height h; apex position c for the triangle, top width a for the trapezoid

Centroid lies h/3 above the base for the triangle and h(2a+b)/(3(a+b)) above the base for the trapezoid. If the apex / top edge is offset from the centre, I_xy ≠ 0 and the principal axes rotate.

2

Geometric properties

Area, centroid, moment of inertia, elastic section modulus, radius of gyration

3

Plastic modulus and torsion

Z_x, Z_y, shape factor, J

4

Principal axes

I_xy, θ, I₁, I₂