Civil Engineering Reference
In-Depth Information
TABLE 7.1
Torsional Warping Constants for Common Cross Sections
Cross Section Denotes
Warping Constant,
C
w
Position of Shear Center
Torsion Stiffness Constant,
J
h
=
d
−
t
f
t
w
t
f
h
2
t
f
b
3
24
C
w
=
d
1/3
(
2
bt
f
+
ht
w
)
J
=
b
b
1
h
=
d
−
(t
1
/
2
)
−
(t
2
/
2
)
t
1
h
2
t
1
t
2
b
1
b
2
12
(t
1
b
1
+
t
2
b
2
)
J
=
1
/
3
t
1
b
1
+
t
2
b
2
+
t
w
h
t
w
C
w
=
d
t
2
b
2
t
f
h
=
d
−
t
f
b
=
b
f
−
t
w
/
2
t
w
3
bt
f
+
2
ht
w
6
bt
f
+
ht
w
d
t
f
b
3
h
2
12
C
w
=
J
=
1
/
3
(
2
bt
f
+
ht
w
)
b
f
t
2
b
2
b
=
b
1
−
t
2
/
2
h
=
b
2
−
t
1
/
2
t
1
1
36
(b
3
t
1
+
h
3
t
2
)
(for small
t
1
and
t
2
C
w
∼
0)
J
=
1
/
3
(bt
1
+
ht
2
)
C
w
=
b
1
