Area Moment of Inertia - Typical Cross Sections II

Area Moment of Inertia, Moment of Inertia for an Area or Second Moment of Area for typical cross section profiles including angles with equal/unequal legs, triangles, and rectangular triangles.

Cross Section	Formula	Parameters	Ix	Iy
Angle with Equal Legs	Ix = 1/3 (2c⁴ - 2(c - t)⁴ + t(h - 2c + 1/2t)³)	c = yt·cos(45°), yt = (h² + ht + t²) / (2(2h - t)·cos(45°))	b h³ / 36	h b³ / 36
Angle with Unequal Legs	Ix = 1/3 (t(h - yd)³ + b·yd³ - b1(yd - t)³); Iy = 1/3 (t(b - xd)³ + h·xd³ - h1(xd - t)³)	xd = (b² + h1·t) / (2(b + h1)); yd = (h² + b1·t) / (2(h + b1))	Varies	Varies
Triangle	Ix = b·h³ / 36; Iy = h·b(b² - ba·bc) / 36	b = base, h = height, ba = a dimension, bc = c dimension	b h³ / 36	h b(b² - ba·bc) / 36
Rectangular Triangle	Ix = b·h³ / 36; Iy = h·b³ / 36	b = base, h = height	b h³ / 36	h b³ / 36