|Table of Contents |Appendix Listing|

PROPERTIES OF SECTIONS

Nomenclature:
A = Area, in^2
I = Moment of inertia, in^4
J = Polar moment of inertia, in^4
M = Moment
Z = Section modulus, in^3
k = Radius of gyration, in
y = Centroidal distance, in

Rectangle relationships:
------------------------
A = b * h 
I = b * h^3 / 12
Z = b * h^2 / 6
k = 0.289 * h
y = h / 2

Triangle relationships:
-----------------------
A = b * h / 2
I = b * h^3 / 36
Z = b * h^2 / 24
k = 0.236 * h
y = h / 3

Circle relationships:
---------------------
A = 3.14159 * d^2 / 4
I = 3.14159 * d^4 / 64
Z = 3.14159 * d^3 / 32
J = 3.14159 * d^4 / 32
k = d / 4
y = d / 2

Hollow circle relationships:
----------------------------
A = 3.14159 / 4 * (d^2 - di^2)
I = 3.14159 / 64 * (d^4 - di^4)
Z = 3.14159 / (32 * d) * (d^4 - di^4)
J = 3.14159 / 32 * (d^4 - di^4)
k = sqrt((d^2 + di^2) / 16)
y = d / 2