Civil Engineering Reference
In-Depth Information
Ans.
τ
(base of flanges)
=
1
.
1N
/
mm
2
,
τ
(ends of web)
=
11
.
1N
/
mm
2
,
15
.
77 N
/
mm
2
,95
.
9%.
τ
(neutral axis)
=
20 mm
15 mm
400 mm
20 mm
150 mm
F
IGURE
P.10.2
P.10.3
A doubly symmetrical I-section beam is reinforced by a flat plate attached to
the upper flange as shown in Fig. P.10.3. If the resulting compound beam is subjected
to a vertical shear load of 200 kN, determine the distribution of shear stress in the
portion of the cross section that extends from the top of the plate to the neutral axis.
Calculate also the shear force per unit length of beam resisted by the shear connection
between the plate and the flange of the I-section beam.
Ans
.
τ
(top of plate)
=
0
0
.
68N
/
mm
2
τ
(bottom of plate)
=
1
.
36N
/
mm
2
=
τ
(top of flange)
1
.
78N
/
mm
2
τ
(bottom of flange)
=
14
.
22 N
/
mm
2
τ
(top of web)
=
15
.
15N
/
mm
2
τ
(neutral axis)
=
Shear force per unit length
=
272 kN
/
m
.
400 mm
40 mm
30 mm
600 mm
25 mm
30 mm
200 mm
F
IGURE
P.10.3
P.10.4
A timber beam has a rectangular cross section, 150mm wide by 300mm deep,
and is simply supported over a span of 4m. The beam is subjected to a two-point
