Flexure Elements - Fundamentals of Finite Element Analysis - page 104

Table 4.1 Element-to-System Displacement Correspondence

Global Displacement Element 1 Element 2

1 1 0

2 2 0

3 3 1

4 4 2

5 0 3

6 0 4

Assembling the global stiffness matrix per the displacement correspondence table
we obtain in order (and using the symmetry property)

96 EI z
L 3

= k (1)
11

K 11 =

24 EI z
L 2

= k (1)
12

K 12 =

− 96 EI z
L 3

= k (1)
13

=

K 13

24 EI z
L 2

k (1)
14

K 14 = =

8 EI z
L

k (1)
22

K 22 = =

− 24 EI z
L 2

= k (1)
23

K 23 =

4 EI z
L

= k (1)
24

K 24 =

K 25 = K 26 = 0

192 EI z
L 3

= k (1)
33

+ k (2)
11

K 33 =

= k (1)
34

+ k (2)
12

K 34 = 0

− 96 EI z
L 3

= k (2)
13

K 35 =

24 EI z
L 2

= k (2)
14

K 36 =

16 EI z
L

= k (1)
44

+ k (1)
22

K 44 =

− 24 EI z
L 2

= k (2)
23

K 45 =