This preview shows page 1. Sign up to view the full content.
220
Finite Element Analysis and Design
7.
A simply supported beam of length
L
is under a uniformly distributed load
–
p
.
When
two equallength beam elements are used, the finite element analysis yields the
following nodal DOFs:
3
4
3
1
1
2
2
3
3
5
{
}
{ , ,
,
,
,
}
0,
,
,0,0,
24
384
24
T
s
pL
pL
pL
v
v
v
EI
EI
EI
Q
.
Find the deflection curve
()
vx
and compare graphically with the exact solution.
Note:
the
exact
deflection
curve
of
the
beam
is
given
as:
4
3
3
exact
( )
(
2
) / 24
v
x
p x
Lx
L x
EI
.
Solution:
Since nodal values are symmetric, it is enough to show the deflection curve for Element
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 08/22/2011 for the course EML 4500 taught by Professor Staff during the Fall '08 term at University of Florida.
 Fall '08
 Staff
 Finite Element Analysis

Click to edit the document details