Civil Engineering Reference
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loading at the quarter span points. If the beam fails in shear when the total of the two
concentrated loads is 180 kN, determine the maximum shear stress at failure.
Ans
.3N
/
mm
2
.
P.10.5
Abeamhas the singly symmetrical thin-walled cross section shown inFig. P.10.5.
Each wall of the section is flat and has the same length,
a
, and thickness,
t
. Determine
the shear flow distribution round the section due to a vertical shear load,
S
y
, applied
through the shear centre and find the distance of the shear centre from the point C.
s
2
A
/
2)
/
16
a
3
sin
α
Ans. q
AB
=−
3
S
y
(2
as
A
−
s
B
/
2
a
2
)
/
16
a
sin
α
q
BC
=−
3
S
y
(3
/
2
+
s
B
/
a
−
S.C. is 5
a
cos
α/
8 from C.
A
s
A
S
y
B
2
a
s
B
a
a
C
S
2
a
D
t
E
F
IGURE
P.10.5
P.10.6
Define the term 'shear centre' of a thin-walled open section and determine the
position of the shear centre of the thin-walled open section shown in Fig. P.10.6.
Ans.
2
.
66
r
from centre of semicircular wall.
r
2
r
Narrow slit
2
r
F
IGURE
P.10.6
