Civil Engineering Reference
In-Depth Information
y
z
G
x
W
L
F
IGURE
P.13.13
P.13.14
A thin-walled beam is simply supported at each end and supports a uniformly
distributed load of intensity
w
per unit length in the plane of its lower horizontal flange
(see Fig. P.13.14). Calculate the horizontal and vertical components of the deflection
of the mid-span point. Take
E
200 000N/mm
2
.
=
Ans. u
=−
9
.
1mm,
v
=
5
.
2 mm.
5mm
5mm
1.5 m
80 mm
F
IGURE
P.13.14
P.13.15
A uniform beam of arbitrary unsymmetrical cross section and length 2
L
is
built-in at one end and is simply supported in the vertical direction at a point half-
way along its length. This support, however, allows the beam to deflect freely in the
horizontal
z
direction (Fig. P.13.15). Determine the vertical reaction at the support.
Ans.
5W/2.
L
L
A
B
C
W
F
IGURE
P.13.15