Civil Engineering Reference
In-Depth Information
Q
#
79
#84
W27x94
W27x94
W27x94
#81
#83
x
6
#12
Q
#47
W36x135
W36x135
W36x135
#74
#73
#75
#76
#77
#78
x
5
#10
Q
#9
#45
W36x150
W36x150
W36x150
#69
#71
x
4
#67
Q
#43
W36x210
W36x210
W36x210
#62
#63
#64
#65
#66
x
3
#61
#6
Mode Period (s) Damping
1
Q
1.024
2%
#41
#5
W36x210
W36x210
W36x210
2
0.369
2%
#56
#57
#58
#59
#60
x
2
#55
#4
3
0.210
2%
Q
#3
#39
W36x210
W36x210
W36x210
4
0.150
2%
#51
#53
x
1
#49
5
0.116
2%
PHL#1
#25
#37
#13
6
0.094
2%
7.62 m
7.62 m
7.62 m
Figure 7.27
Six-story moment-resisting steel frame with a leaning column.
Assume that a gravity load of
Q
= 5,978 kN is applied on each floor of the leaning column as
shown in Figure 7.27. Then, the
K
f
matrix becomes
2
3
−14,390
6,540
0
0
0
0
4
5
6,540
−12,140
5,600
0
0
0
0
5,600
−9,800
4,200
0
0
K
f
=
kN
=
m
ð7
:
175Þ
0
0
4,200
−7,000
2,800
0
0
0
0
2,800
−4,200
1,400
0
0
0
0
1,400
−1,400
Now, from the third equation of Eq. (7.148) where
K
e
=
K
o
+
K
f
, the condensed elastic stiffness
matrix
K
e
becomes
