Advanced Methods of Structural Analysis

(Jacob Rumans) #1

334 10 Influence Lines Method


10.1.2.1 Unit Coefficients


ı 11 D

Zl

0

MN 1 MN 1
EIx

dsD

Zl

0

1  1 cos'x
EIC

dx
cos'x

D

Zl

0

dx
EIC

D

l
EIC

ı 12 D

Zl

0

MN 1 MN 2
EIx

dsD

Zl

0

1.fy/

dx
EIC

D

Zl

0


f

4f
l^2

.lx/x
dx
EIC

D
fl
3 EIC

ı 12 Dı 21 D
fl
3 EIC

ı 22 D

Zl

0

MN 2 MN 2
EIx

dsD

Zl

0

.fy/^2

dx
EIC

D

Zl

0


f

4f
l^2

.lx/x

(^2)
dx
EIC
D
f^2 l
5 EIC
ı 33 D 2
l
Z^2
0
MN 3 MN 3
EIx
dsD 2
l
Z^2
0

l
2
x
 2
dx
EIC
D
l^3
12 EIC
10.1.2.2 Free Terms
SincePD 1 , the free terms are denoted throughıiP
ı1PD
Za
0
MN 1 MNP^0
EIx
dsD
Za
0
1.ax/
dx
EIC
D
a^2
2 EIC
ı2PD
Za
0
M 2 MP^0
EIx
dsD
Za
0
1.fy/ 1 .ax/
dx
EIC
D
Za
0
1

f
4f
l^2
.lx/ x
.ax/
dx
EIC
D
a^2 f
EIC


1
2
C
2
3
u
1
3
u^2

ı3PD
Za
0
M 3 MP^0
EIx
dsD
Za
0

l
2
x

.ax/
dx
EIC
D
l^3
EIC
u^2

1
4

u
6


Free download pdf