Civil Engineering Reference
In-Depth Information
2
0.01189
3
(
)
2
3
0.01189
×
0.00182
× −××
200
c
25
1000
×
c
×
25
×
1000
c
(
)
(
)
2
=
887
×
400
+
37.63
×
0.70.95
×
×
2068
×
200
c
×
0.00182
2
(
)
108.2 .541
c
2
c
3
1.178
c
3
1.347 40000
− +=
400
c
c
2
0
3
2
1.7191
c
+
106.853
c
+
538.8
c
53880
=
0
c
=
ε= ε×
25.18 mm
c
dc
0.01189
×
25.18
fd
f
=
=
0.001713
<
0.003
cf
(
)
200
25.18
So,debonding or limitingstrainofNSM tape controls.
Another way to perform the design:
The approximate solution for ε cf > 0.0015 is
2
3
c
d
c
d
c
d
A
+
B
+
D
+=
Q
0
3
3
3
2
f
f
f
f
f
d
d
400
25
175
200
y
Q
=
0.00507
×
×
=
0.07098
1
s
cf
M
fbd
d
d
×
×× ×
60.11
10
6
u
cf
Q
= φ
+Ψ−=
Q
2
1
f
2
2
0.925
1000
200
f
175
200
+
0.07098
×
0.85
=
0.065
(
)
A
=
0.3864
×
0.07098
×− −
10.85 .065
0.4042
×
0.85
= −
0.4045
3
(
)
B
D
=
0.5604
×
0.85
0.3864
×
0.07098
×− −××
10.85
125
0.85
0.01189
= −
0.7911
3
=
48.30.850.01189
×
×
0.1562
=
0.3319
3
2
3
c
d
c
d
c
d
so,
.4045
0.7911
+
0.3319
+
0.065
=
0
f
f
f
c
d
=
0.1297
c
=
25.94 mm
25.18 mm
f
ε= ε
0.01189
200
fd
dc c
=
×
25.94
=
0.00177
cf
25.94
f
2
2
α= ε
ε
ε
ε
0.00177
0.00182
0.001177
30.00182
cf
c
cf
c
=
=
0.657
3
2
2
×
or use
α=
125
×
0.00177
+
0.4042
= →
0.625
more compatible
f
c
d
f
25
0.70.95
25.94
175
c
y
ρ=α
− ρ
=
0.625
×
f
s
0.7
f
0.7
f
×
×
2068
fu
fu
400
0.70.95
0.00507
×
=
0.000211
×
×
2068
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