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FIGURE 5.28
Frame of Example 5.7.
Element 1:
Use k 1 and k 1 as given by Eqs. (1) and (3) of Example 5.5. For the first loading case, take
p i 0
from Chapter 4, Table 4.2.
0
0
2 3
2
1
/
6
0
0
.
p 0
p i 0
=−
=−
(1)
0
2
2 3
1
/
6
2
.
0
Using Eq.(2) of Example 5.5, the loading is transformed to global coordinates as
0
3
2
3
.
.
0
T 1 T p i 0
p 10
=−
=
(2)
3
.
0
3
2
.
0
Element 2:
Since there is no distributed loading on element 2, p 20
=
.
0
The local and global coordinate
= k 2
systems coincide so that k 2
.
=
.
=
·
m 2 , and EA
=∞
Use
3
0m, EI
4712 kN
, giving
0
0
−∞
0
0
0
2094
.
2
3141
.
30
2094
.
2
3141
.
3
0
3143
.
3
6282
.
7
0
3141
.
3
3141
.
3
k 2
=
(3)
−∞
0
0
0
0
.
.
.
.
0
2094
2
3143
3
0
2094
2
3141
3
0
3141
.
3
3141
.
3
0
3141
.
3
6282
.
7
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