Civil Engineering Reference
In-Depth Information
e
y
y
y
C
C
C
+
V
z
V
z
S
S
S
V
z
e
z
z
z
+
Off shear centre
loading
Pure bending
Bending shear stresses
Pure torsion
Torsion shear stresses
Figure 5.16
Off shear centre loading.
Centroid C
Shear centre S
Figure 5.17
Centroids and shear centres.
The position of the shear centre of the channel section shown in Figure 5.14 is
determined in Section 5.12.8. Its
y
0
coordinate is given by
d
f
t
f
b
2
4
I
y
b
2
t
f
2
bt
f
+
d
f
t
w
y
0
=
+
(5.26)
whileits
z
0
coordinateiszerobecausethesectionissymmetricalaboutthe
y
axis.
In Figure 5.17, the shear centres of a number of thin-walled open sections are
compared with their centroids. It can be seen that
(a) if the section has an axis of symmetry, then the shear centre and centroid lie
on it,
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