Tutorial 5: Deflection of beam
1.
Find the expression for the maximum slope and the maximum deflection of a simply supported beam due to a uniform
load
w
over the entire span
L
. The beam has a constant
EI
. Sketch the bending moment and elastic curve diagrams.
Answer:
wL
EI
wL
EI
34
24
5
384
;
2.
Determine the slope and deflection at the end of the cantilevers shown below. Take
EI
as constant.
Answer:
Wa
EI
Wa
EI
L
aw
L
EI
wL
EI
22
3
68
,;
,
−
a
L
w
L
W
3.
A cantilever of length
L
and flexural rigidity
EI
is loaded with concentrated loads of
W
1
at the free end and
W
2
at mid
length. Show that the deflection at the free end is
(
)
WW
L
EI
12
3
51
6
3
+
/
.
If
L
= 3.0 m,
W
1
= 6
x
10
4
N,
W
2
=
4
x
10
4
N, find the least value of
I
if the end deflection is 0.6 cm. Take
E
=185 GPa
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This note was uploaded on 05/10/2009 for the course MXXM 2XX9 taught by Professor Gxxy during the Spring '09 term at City University of Hong Kong.
 Spring '09
 GXXY

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