400 11 Matrix Stiffness Method
(^12) Z-P diagram
S-e diagram
12 3 4
S 1
S 2 S 4
S 3
l
0
2 4
EI
ll
6
8 10
12
14 16
18
BC
a
b
ul
l
P = 1
ul
2 u
l (1–u (^2) )
2
lu (1–u (^2) )
M^0
P
Joint-load (J-L) diagram
B
0.07893l 0.07893l
C
0.01973l 0.01973l
c
l
uu 2 l P^ =1
uu 2 l
u^2 u l
u^2 u l
u l u l
M^0
P
Joint-load(J-L) diagram
d
0
2 4
6
8 10
12
14 16
18
BC
IL(MC)
factor 0.01l
IL(MB)
factor 0.01l
7.8939.872 7.8975.426
2.4681.973
1.9732.468
5.4267.897 9.8727.893
−
−
e
Fig. 11.25(a) Moving load. Design diagram of continuous beam,Z-PandS-ediagrams; (b)Load
PD 1 in the first span and corresponding joint-load diagram; (c) Ordinates of influence lines at
sections 6 and 12; the loadPD 1 is placed at point 2; (d)LoadPD 1 in the second span;
(e) Influence lines for bending moments at supportsBandCand corresponding joint-load diagram