Page 326 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

Sec. 10.4 Element Stiffness and Element Mass in Global Coordinates 313

Figure 10.4-1.
related by the following equation:
i- \
^1,.'

^2
>= [^]<

'
Fly T2
K
Fly
The global stiffness of eaeh element is determined from Eq. (10.4-3) by
substituting sin a and cos a for the particular member.
Element a {\ to 2):

4 3

16 12 1 - 16 - 12“
12 9 1 - 12 - 9 ^1
23
- 16 - 12 1 16 12
-12 - 9 1 12 9 \T'2)
Element b (2 to 3):
c‘ = - 1, .V= 0

1 0 1 1 - 1 0 “ ^112^
0 0 1 1 0 0 T'2
kh,^h ~ 1 1 <
- 1 0 1 1 0 Tl2
1
- 0 0 1 0 0 _
12S 1 125
4 0 1 4 o ]
\ 0 0 1 0 0
25 m / 12: . L i 125
4 0 1 ^ 0
0 0 1 0 0