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
 
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