Structural Analysis Methods II: Structural Systems - Mechanics of Structures: Variational and Computational Methods - page 292

FIGURE 5.25
Response of the beam of Fig. 5.5 with linearly varying loading.

Element 1:

3
4 p 0

p a = p b =

p 0 ,

=

7 / 20 3 / 20 37 / 80

− 1 / 20 − 1 / 30 − 6 / 80

P 10

p − 1
a
p − 1
b

= p 0 (19)

3 / 20 7 / 20 33 / 80

1 / 30 1 / 20 17 / 240

Element 2:

3
4 p 0 ,

1
2 p 0

p a = p b =

27
80

T

13
240

23
80

1
20

P 20

= p 0 − (20)

Element 3:

1
2 p 0 ,

1
4 p 0

p a = p b =

17
80

T

1
30

13
80

7
240

P 30

= p 0 − (21)