Civil Engineering Reference
In-Depth Information
T
22
=
ρ(C
1
B
5
B
8
+
C
3
B
4
B
8
)
+
ρC
1
(
2
B
1
+
B
2
)B
8
C
3
ρB
7
+
+
B
2
)
+
(C
3
ρ
−
4
ρ
0
)B
5
B
8
−
2
ρ
0
(B
3
+
B
5
)(C
1
B
6
+
C
3
B
7
)
−
2
ρ
0
B
3
B
8
−
C
1
C
3
(B
3
+
2
B
3
B
5
)
+
2
C
3
ρ
0
B
4
B
6
+
2
ρ
0
B
6
B
7
−
C
1
ρB
6
2
C
1
B
7
ρ
0
(
2
B
1
+
B
2
)
−
C
1
C
3
B
4
(
2
B
1
+
(10.A.8)
T
23
=
C
3
[
−
(B
3
+
B
5
)
{
2
B
6
B
7
−
B
8
(B
3
+
B
5
)
}+
B
6
B
4
−
B
8
B
5
+
(
2
B
1
+
B
2
)(B
7
−
B
8
B
4
)
]
−
C
1
[
(
2
B
1
+
B
2
)B
5
B
8
−
B
5
B
6
]
(10.A.9)
T
31
=
ρ
2
C
1
C
3
−
ρρ
0
(C
1
+
C
3
)
+
ρ
0
(10.A.10)
T
33
=
ρC
3
B
8
(B
5
+
2
B
1
+
B
2
)
+
C
3
C
1
B
5
(
2
B
1
+
B
2
)
(10.A.11)
ρ
0
[
B
6
−
+
B
8
(
2
B
1
+
B
2
)
]
+
C
3
B
6
(
2
ρ
0
B
5
−
ρB
6
)
(ρ
0
−
T
32
=
C
3
ρ)
[
ρB
8
+
(
2
B
1
+
B
2
)C
1
+
2
ρ
0
B
6
]
(10.A.12)
+
B
5
C
3
(ρ
0
−
ρC
1
)
C
3
B
5
[
B
6
−
T
34
=
B
8
(
2
B
1
+
B
2
)
]
(10.A.13)
Appendix 10.B: Coefficients
A
i
in Equation (10.97)
The following symbols are used
q
x
cos
2
ϕ
q
y
+
G
=
2
q
x
sin
ϕ
cos
2
ϕ
(10.B.1)
H
=−
=
tan
2
ϕ
I
Equation (10.96) can be rewritten
q
P
=
Iq
z
G
+
Hq
z
+
(10.B.2)
Using the symbols
G
2
J
=
K
=
2
GH
H
2
L
=
2
GI
M
=
2
HI
N
=
I
2
+
(10.B.3)
q
P
is given by
q
P
=
Lq
z
+
Mq
z
+
Nq
z
J
+
Kq
z
+
(10.B.4)
