Civil Engineering Reference
In-Depth Information
T
ABLE
16.6
FEMs
M
AB
M
BA
Load case
WL
8
WL
8
W
−
+
A
B
L
/2
L
/2
Wab
2
L
2
Wa
2
b
L
2
W
−
+
A
B
a
b
L
wL
2
12
wL
2
12
A
w
B
−
+
L
L
2
2
a
4
)
L
2
L
w
wb
3
w
L
2
2
1
b
4
(
b
2
3
L
(
b
3
4
(
b
4
a
2
)
a
3
)
−
−
−
−
+
−
+
3
−
A
B
a
b
L
M
0
b
L
2
M
0
a
L
2
M
0
+
(2
a
−
b
)
+
(2
b
−
a
)
A
B
a
b
L
δ
δ
6
EI
6
EI
A
−
−
L
2
L
2
B
δ
El
L
δ
3
EI
0
−
A
L
2
B
δ
EI
L
STIFFNESS COEFFICIENT
Amoment applied at a point on a beam causes a rotation of the beam at that point, the
angle of rotation being directly proportional to the applied moment (see Eq. (9.19)).
Thus for a beam AB and a moment
M
BA
applied at the end B
M
BA
=−
K
AB
θ
B
(16.32)
