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CHAP 4 Finite Element Analysis for Beams and Frames
239
18. A linearly varying distributed load is applied to the beam finite element of length
L
.
The maximum value of the load at the right side is
q
0
. Calculate “work equivalent”
nodal forces and couples.
Solution:
The distributed load is a linear function.
00
()
x
q x
q
sq
L
Thus, the expression of distributed load can be written as
34
1
2
3
4
1
1
0
2
2
32
9
(
2
)
2
{ }
[ ]
21
60
3
L
T
s
s
s
F
M
L s
s
s
L
qL
x
q
dx
q
Lds
F
L
ss
ML
L s
s
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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

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