Civil Engineering Reference
In-Depth Information
P.10.7
Determine the position of the shear centre of the cold-formed, thin-walled
section shown in Fig. P.10.7. The thickness of the section is constant throughout.
Ans.
87
.
5mm above centre of semicircular wall.
50 mm
25 mm
100 mm
25 mm
F
IGURE
P.10.7
P.10.8
The thin-walled channel section shown in Fig. P.10.8 has flanges that decrease
linearly in thickness from 2
t
0
at the tip to
t
0
at their junction with the web. The web
has a constant thickness
t
0
. Determine the distribution of shear flow round the section
due to a shear load
S
y
applied through the shear centre S. Determine also the position
of the shear centre.
s
2
A
/
4
d
)
/
I
x
,
s
B
+
Ans. q
AB
=−
S
y
t
0
h
(
s
A
−
q
BC
=−
S
y
t
0
(
hs
B
−
3
hd
/
2)
/
2
I
x
,
t
0
h
2
(
h
9
d
)
/
12; 5
d
2
/
(
h
where
I
x
=
+
+
9
d
) from mid-point of web.
2
t
0
s
A
A
B
S
y
s
B
t
0
S
h
C
D
d
F
IGURE
P.10.8
P.10.9
Calculate the position of the shear centre of the thin-walled unsymmetrical
channel section shown in Fig. P.10.9.
Ans
. 23.1mm from web BC, 76.3mm from flange CD.
