Moments of Inertia, Section Moduli, and Radii of Gyration (Continued)
Radius of Gyration, k A I =
Section Modulus, Z y I =
Distance from Neutral Axis to Extreme Fiber, y
Area of Section, A
Moment of Inertia, I
Section
C-Sections
t a
bd g h l 12 1 8 1 3 4 4 − − ^ h : D g = slope of flange b t h l 2 ^ h for standard channels 6 1 = − − =
s
y
n
dt a s n bd g h l 12 1 8 1 3 4 4 + + − − ^ ^ h h : D
l
h
d
d 2
dt + a ( s + n )
d bd g h l 6 1 8
1 3 4 4 − − ^ h : D
b
g 2
3 1 2 :
b b s ht g b t b t A 2 3 2 2 2 2 ' − + + − + ^ ^ h h 6 @ g = slope of flange b t h l 2 = − − ^ h #
A b y 2 + + − − − ^ 3 3 ^ h
4 4
sb lt
b t
D
h
s y a
h t
g = slope of flange b t h l 2 6 1 = − − = ^ h for standard channels
b
dt + a ( s + n )
y I
A I
n
d l
b
s h
bd h b t bd h b t 12 3 3 − − − − ^ ^ h h 6 @
t
bd h b t 12 3 3 − − ^ h
d bd h b t 6 3 3 − − ^ h
d 2
bd − h ( b − t )
d
y
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