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Properties of Sections
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Properties of Sections
1
y x
4
4rII yxπ
==
==2
4rJ π polar moment of inertia
2rA π= 9
10=λ
2
y x t
trII yx
3π≅=
trJ 32π≅ rtA π2≅
2=λ
3
y h x b
12
3bhIx = 12
3hbI y = bhA =
56
=λ 3hbJ β=
: bhFor ≥
⎟⎟⎠
⎞⎜⎜⎝
⎛−−≅ 4
4
12121.0
31
hb
hbβ
4
tf y x h tw b
( )fwx bthth
I 36
2
+≅
( )wfy htbtbI 36
2
+≅ ( )wf htbtA += 2
fw
wf
htbttt
hbJ+
≅ 222 wht
A2
=λ
5
y tw h x tf b
( )fwx bththI 612
2
+≅
6
3f
y
tbI ≅ fw bthtA 2+≅
( )33 231
fw bthtJ +≅ wdtA ='
r r
r
λ = shear factor = A/A’ J = St. Venant’s torsional constant A’ = effective shear area
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