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In-Depth Information
Y Centroid
1.87500
Z Centroid
0.00000
Y Shear Center
2.86769
Z Shear Center
0.00000
Y Shear Center wrt Centroid
4.74269
Z Shear Center wrt Centroid
0.00000
Y Shear Center wrt Centroid (Trefftz)
4.74259
Z Shear Center wrt Centroid (Trefftz)
0.00000
Moment of Inertia I zz
1781.83333
Moment of Inertia I yy
342.83333
Product of Inertia I yz
0.00000
Moment of Inertia I zzC
1787.83333
Moment of Inertia I yyC
223.30208
Product of Inertia I yzC
0.00000
Polar Moment of Inertia
2011.13542
Y Radius of Gyration
7.25144
Z Radius of Gyration
2.56275
Principal Bending Angle (rad)
0.00000
Principal Bending Angle (deg)
0.00000
Principal Moment of Inertia (max)
1787.83333
Principal Moment of Inertia (min)
223.30208
Y Coordinate Extent
8.50000
Z Coordinate Extent
19.00000
Y Shear Coefficient
3.40789
Z Shear Coefficient
2.18337
YZ Shear Coefficient
0.00000
Torsional Constant
11.28862
Warping Constant wrt Shear Center
12763.15184
Warping Constant wrt Centroid
283214.57041
FIGURE 12.13
Some cross-sectional properties of a channel section.
The moment of inertia about the coordinate system shown in Fig. 12.12a is
h 2 t
I zz = (
6 b
+
h
)
(2)
12
1782 in 4 . The finite element program computes 1788 in 4 . The shear center
is normally defined as
which gives I zz
=
3 b 2
6 b
y S =
(3)
+
h
resulting in y S
=
2
.
91 in. The program finds y S
=
2
.
87 in. The warping constant of a channel
section is usually listed in formula tables as
b 3 h 2 t
(
3 b
+
2 h
)
I
ωω = =
(4)
12
(
6 b
+
h
)
12,567 in 6 . The finite element program calculates what should be the more
accurate result of I ωω = =
leading to
=
12,763 in 6
.
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