Civil Engineering Reference
In-Depth Information
Table 6.3
Numerical results of the shear wall subjected to cyclic loadings.
Local plastic displacement
(10
-2
mm)
Shear
force
F
(MN)
x
00
(10
-3
mm)
θ
00
(10
-6
rad)
x
(mm)
Moment
M
(MN-m)
δ
1
00
δ
2
00
δ
3
00
status
Loading
0
0
0
0
0
0
0
0
0.1
7.62
2.93
1.76
0
0
0.369
0.142
0.2
15.24
5.86
3.52
0
0
0.739
0.284
.
.
.
.
.
.
.
.
1.9
144.79
55.69
33.41
0
0
7.017
2.699
2
152.41
58.62
35.17
0
0
7.386
2.841
Un-
loading
1.9
148.96
57.29
34.38
0
0
7.000
2.692
1.8
145.50
55.96
33.58
0
0
6.614
2.544
.
.
.
.
.
.
.
.
−1.9
−123.78
−47.61
5.25
33.81
0
−7.101
−2.731
−2
−134.36
−51.68
4.51
35.52
0
−7.458
−2.869
Loading
−1.9
−127.67
−49.10
5.28
34.74
0
−7.086
−2.725
−1.8
−120.97
−46.53
6.05
33.97
0
−6.712
−2.582
.
.
.
.
.
.
.
.
1.9
126.78
48.76
34.56
5.30
0
7.089
2.727
2
134.27
51.64
35.52
4.53
0
7.459
2.867
Re-
loading
2.1
147.85
55.58
37.16
3.81
0.33
7.804
3.002
2.2
224.81
56.56
37.56
3.62
7.78
7.896
3.037
.
.
.
.
.
.
.
.
3.9
1851.91.
591.84
358.12
3.02
31.3
8.188
3.150
4
1947.62
623.33
376.98
2.98
32.7
8.205
3.156
Un-
loading
3.9
1928.78
621.06
376.29
3.66
31.40
7.880
3.031
3.8
1909.94
618.78
375.60
4.33
30.11
7.556
2.906
.
.
.
.
.
.
.
.
−3.9
−1843.54
−578.21
48.03
394.96
−34.02
−8.221
−3.162
−4
−1939.36
−609.88
47.40
413.33
−35.37
−8.238
−3.169
Loading
−3.9
−1903.64
−895.98
52.55
412.78
−34.26
−7.981
−3.070
−3.8
−1867.92
−876.96
57.70
412.23
−33.16
−7.724
−2.971
.
.
.
.
.
.
.
.
3.9
1842.67
881.42
398.78
52.70
34.30
8.225
3.163
4
1938.50
913.72
417.10
52.07
35.64
8.241
3.170
.
.
.
.
.
.
.
.
where
f
k
+1
is the discretized form of
f
(
t
). Each item on the right side of Eq. (6.105) is known and
the objective is to calculate
f
k
+1
and
d
Δ
00
. If the number of the VSHs and HSHs are 2
n
v
and
n
h,
respectively, there are totally (2
n
v
+
n
h
) unknowns. However, Eq. (6.105) by itself only pro-
vides (2
n
v
+
n
h
) equations, and 2
n
v
outer vertical spring forces versus axial plastic displacement
and
n
h
shear spring force versus shear plastic displacement relationships for VSHs and HSHs
