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Seismic Simulation and Design of Bridge Columns Under Combined Actions and Implication on System Response University of Nevada, Reno Dr. David H. Sanders Juan Arias-Acosta Jan. 25 - 2008. Bidirectional Mass Platform (Single Curvature). Bidirectional Mass Platform (Single Curvature). - PowerPoint PPT Presentation
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Seismic Simulation and Design of Bridge Columns Under Combined Actions and Implication on
System Response
University of Nevada, Reno
Dr. David H. Sanders Juan Arias-Acosta
Jan. 25 - 2008
Bidirectional Mass Platform (Single Curvature)
Bidirectional Mass Platform (Single Curvature)
Universal joints
Bidirectional Mass Platform (Safety system)
Bidirectional Mass Platform (Double Curvature)
Circular Columns (Specimens Selection)
L= 72 in Note:f'c= 5.5 ksi Design according to Caltrans Seismic Design Criteria, June 2006Ec= 4227 ksi P=0.1 f'c Agfyl= 65 ksi Escale for circular 1:3 Vu SC: Shear capacity based in single curvature bending
fys= 60 ksi Escale for interlocking 1:4 Vu DC: Shear capacity based in double curvature bendingEs= 29000 ksi sh: spiral pitch Vn: Shear Capacity
Name dx (in) dy (in) P (k) cover (in) spiral sh (in) rl (%) rs (%) fy My (k-in) fu Mu (k-in) mD Vu SC Vu DC Vc (k) Vs (k) Vn (k)L72- 20#4 16 16 80 0.75 W5.0 1.5 1.99 0.92 0.000342 1927 0.00466 2211 6.84 30.71 61.42 7.31 45.55 52.86L72- 14#5 16 16 80 0.75 W5.0 1.5 2.16 0.92 0.00033 1955 0.00541 2271 8.14 31.54 63.08 4.29 45.55 49.84L72- 15#5 16 16 80 0.75 W5.0 1.5 2.31 0.92 0.00033 2048 0.00552 2406 8.26 33.42 66.83 4.29 45.55 49.84L72- 16#5 16 16 80 0.75 W5.0 1.5 2.47 0.92 0.00034 2270 0.00423 2597 6.82 36.07 72.14 7.56 45.55 53.12L66-16#5 16 16 80 0.75 W5.0 1.5 2.47 0.92 0.00034 2270 0.00423 2597 7.20 39.35 78.70 4.29 45.55 49.84L58-16#5 16 16 80 0.75 W5.0 1.5 2.47 0.92 0.00034 2270 0.00423 2597 7.79 44.78 89.55 4.29 45.55 49.84
X- direction
W 2.0 @ 1.0 in
16.75 in
5.00 in 5.00 in6.75 in
38#3
0.50 in
10.00 in10.00 in
W 2.0 @ 1.0 in
15.62 in
5.00 in 5.00 in5.62 in
34#3
0.50 in
10.00 in
Cross section ISL1.0 Cross section ISL1.5
Cross section ISH1.0 Cross section ISH1.25 Cross section ISH1.5
6.00 in 6.00 in5.50 inW 2.9 @ 1.0 in
32#3
0.50 in12.00 in
20.25 in
6.00 in 6.00 in8.25 inW 2.9 @ 1.0 in
38#3
0.50 in12.00 in
W 2.0 @ 1.5 in
5.00 in 5.00 in4.50 in
32#3
0.50 in
14.50 in
17.50 in
Cross section L72 20#4 Cross section L72 14#5
Cross section L72 15#5 Cross section L72 16#5
16.00 in
W 5.0 @ 1.0 in
20#4
0.75 in
16.00 in
W 5.0 @ 1.0 in
14#5
0.75 in
16.00 in
W 5.0 @ 1.0 in
16#5
0.75 in
16.00 in
W 5.0 @ 1.0 in
15#5
0.75 in
Name dx (in) dy (in) P (k) cover (in) spiral sh (in) rl (%) rs (%)
L72- 20#4 16 16 80 0.75 W5.0 1.5 1.99 0.92L72- 14#5 16 16 80 0.75 W5.0 1.5 2.16 0.92L72- 15#5 16 16 80 0.75 W5.0 1.5 2.31 0.92L72- 16#5 16 16 80 0.75 W5.0 1.5 2.47 0.92L66-16#5 16 16 80 0.75 W5.0 1.5 2.47 0.92L58-16#5 16 16 80 0.75 W5.0 1.5 2.47 0.92
W 2.0 @ 1.0 in
16.75 in
5.00 in 5.00 in6.75 in
38#3
0.50 in
10.00 in10.00 in
W 2.0 @ 1.0 in
15.62 in
5.00 in 5.00 in5.62 in
34#3
0.50 in
10.00 in
Cross section ISL1.0 Cross section ISL1.5
Cross section ISH1.0 Cross section ISH1.25 Cross section ISH1.5
6.00 in 6.00 in5.50 inW 2.9 @ 1.0 in
32#3
0.50 in12.00 in
20.25 in
6.00 in 6.00 in8.25 inW 2.9 @ 1.0 in
38#3
0.50 in12.00 in
W 2.0 @ 1.5 in
5.00 in 5.00 in4.50 in
32#3
0.50 in
14.50 in
17.50 in
Cross section L72 20#4 Cross section L72 14#5
Cross section L72 15#5 Cross section L72 16#5
16.00 in
W 5.0 @ 1.0 in
20#4
0.75 in
16.00 in
W 5.0 @ 1.0 in
14#5
0.75 in
16.00 in
W 5.0 @ 1.0 in
16#5
0.75 in
16.00 in
W 5.0 @ 1.0 in
15#5
0.75 in
Top Lateral displacement (in)
Ba
se
sh
ea
r (k
ips
)
Top Lateral displacement (in)
Ba
se
sh
ea
r (k
ips
)
fy My (k-in) fu X Mu (k-in) mD Vu SC Vu DC Vc (k) Vs (k) Vn (k)0.00034 1927 0.00466 2211 6.84 30.71 61.42 7.31 45.55 52.860.00033 1955 0.00541 2271 8.14 31.54 63.08 4.29 45.55 49.840.00033 2048 0.00552 2406 8.26 33.42 66.83 4.29 45.55 49.840.00034 2270 0.00423 2597 6.819 36.07 72.14 7.56 45.55 53.120.00034 2270 0.00423 2597 7.200 39.35 78.70 4.29 45.55 49.840.00034 2270 0.00423 2597 7.788 44.78 89.55 4.29 45.55 49.84
Y- direction
8072
88
Shake Table
Test in Single Curvature
8058
72
Shake Table
Test in Double Curvature
L72 16#5 Hysteretic Behavior (El centro x 4.0), EQ uniaxial
Top Lateral displacement (in)
Ba
se
sh
ea
r (k
ips
)
Top Lateral displacement (in)
Ba
se
sh
ea
r (k
ips
)
Top Lateral displacement (in)
Ba
se
sh
ea
r (k
ips
)
16.00 in
W5.0 @ 1.5 in
20#4
0.75 in
Cross section L72 20#4
16.00 in
W5.0 @ 1.5 in
16#5
0.75 in
Cross section L58 16#5
Circular Columns Details (Single Curvature)
Circular Columns Details (Double Curvature)
Interlocking Spiral Columns (Specimen Selection)
L= 72 in Note:f'c= 5.5 ksi Design according to Caltrans Seismic Design Criteria, June 2006Ec= 4227 ksi P=0.1 f'c Agfyl= 65 ksi Escale for circular 1:3 Vu SC: Shear capacity based in single curvature bending
fys= 60 ksi Escale for interlocking 1:4 Vu DC: Shear capacity based in double curvature bendingEs= 29000 ksi sh: spiral pitch Vn: Shear Capacity
Name dx (in) dy (in) P (k) cover (in) spiral sh (in) rl (%) rs (%) fy My (k-in) fu Mu (k-in) mD Vu SC Vu DC Vc (k) Vs (k) Vn (k) ISL1.0 12 17.5 98.5 0.5 W2.9 1.0 1.97 1.05 0.0004 1402 0.00742 1564 7.36 21.72 43.44 5.13 60.13 65.26 ISL1.5 12 20.25 106 0.5 W2.9 1.0 1.97 1.05 0.00039 1670 0.00754 1885 7.64 26.18 52.36 2.96 60.13 63.09 ISH1.0 10 14.5 61.8 0.5 W2.0 1.5 2.85 0.59 0.00051 1016 0.00557 1069 4.67 14.85 29.69 8.93 22.62 31.55 ISH1.25 10 15.62 67.4 0.5 W2.0 1.0 2.78 0.89 0.00049 1097 0.00737 1210 6.09 16.81 33.61 7.55 33.93 41.48 ISH1.5 10 16.75 73 0.5 W2.0 1.0 2.86 0.89 0.00049 1200 0.00729 1319 6.04 18.32 36.64 8.08 33.93 42.01
X- direction
W 2.0 @ 1.0 in
16.75 in
5.00 in 5.00 in6.75 in
38#3
0.50 in
10.00 in10.00 in
W 2.0 @ 1.0 in
15.62 in
5.00 in 5.00 in5.62 in
34#3
0.50 in
10.00 in
Cross section ISL1.0 Cross section ISL1.5
Cross section ISH1.0 Cross section ISH1.25 Cross section ISH1.5
6.00 in 6.00 in5.50 inW 2.9 @ 1.0 in
32#3
0.50 in12.00 in
20.25 in
6.00 in 6.00 in8.25 inW 2.9 @ 1.0 in
38#3
0.50 in12.00 in
W 2.0 @ 1.5 in
5.00 in 5.00 in4.50 in
32#3
0.50 in
14.50 in
17.50 in
Cross section L72 20#4 Cross section L72 14#5
Cross section L72 15#5 Cross section L72 16#5
16.00 in
W 5.0 @ 1.0 in
20#4
0.75 in
16.00 in
W 5.0 @ 1.0 in
14#5
0.75 in
16.00 in
W 5.0 @ 1.0 in
16#5
0.75 in
16.00 in
W 5.0 @ 1.0 in
15#5
0.75 in
Top Lateral displacement (in)
Ba
se
sh
ea
r (k
ips
)
Top Lateral displacement (in)
Ba
se
sh
ea
r (k
ips
)
Name dx (in) dy (in) P (k) cover (in) spiral sh (in) rl (%) rs (%)
ISL1.0 12 17.5 98.5 0.5 W2.9 1.0 1.97 1.05 ISL1.5 12 20.25 106 0.5 W2.9 1.0 1.97 1.05 ISH1.0 10 14.5 61.8 0.5 W2.0 1.5 2.85 0.59 ISH1.25 10 15.62 67.4 0.5 W2.0 1.0 2.78 0.89 ISH1.5 10 16.75 73 0.5 W2.0 1.0 2.86 0.89
W 2.0 @ 1.0 in
16.75 in
5.00 in 5.00 in6.75 in
38#3
0.50 in
10.00 in10.00 in
W 2.0 @ 1.0 in
15.62 in
5.00 in 5.00 in5.62 in
34#3
0.50 in
10.00 in
Cross section ISL1.0 Cross section ISL1.5
Cross section ISH1.0 Cross section ISH1.25 Cross section ISH1.5
6.00 in 6.00 in5.50 inW 2.9 @ 1.0 in
32#3
0.50 in12.00 in
20.25 in
6.00 in 6.00 in8.25 inW 2.9 @ 1.0 in
38#3
0.50 in12.00 in
W 2.0 @ 1.5 in
5.00 in 5.00 in4.50 in
32#3
0.50 in
14.50 in
17.50 in
Cross section L72 20#4 Cross section L72 14#5
Cross section L72 15#5 Cross section L72 16#5
16.00 in
W 5.0 @ 1.0 in
20#4
0.75 in
16.00 in
W 5.0 @ 1.0 in
14#5
0.75 in
16.00 in
W 5.0 @ 1.0 in
16#5
0.75 in
16.00 in
W 5.0 @ 1.0 in
15#5
0.75 in
Top Lateral displacement (in)
Ba
se
sh
ea
r (k
ips
)
Top Lateral displacement (in)
Ba
se
sh
ea
r (k
ips
)
fy My (k-in) fu X Mu (k-in) mD Vu SC Vu DC Vc (k) Vs (k) Vn (k)0.0003 2026 0.00431 2235 7.36 31.04 62.08 18.84 60.13 78.970.00026 2763 0.00378 3074 6.02 42.69 85.39 18.44 60.13 78.570.00036 1413 0.00329 1478 3.97 20.53 41.06 13.46 22.62 36.080.00034 1649 0.00395 1795 4.91 24.93 49.86 15.43 33.93 49.360.00032 1957 0.00368 2120 4.83 29.44 58.89 16.33 33.93 50.26
Y- direction
8072
88
Shake Table
Test in Single Curvature
8058
72
Shake Table
Test in Double Curvature
L72 16#5 Hysteretic Behavior (El centro x 4.0), EQ uniaxial
Top Lateral displacement (in)
Ba
se
sh
ea
r (k
ips
)
Top Lateral displacement (in)
Ba
se
sh
ea
r (k
ips
)
Top Lateral displacement (in)
Ba
se
sh
ea
r (k
ips
)
Cross section ISL1.5
W2.0 @ 1.0 in W2.0 @ 1.0 in
16.75 in
5.00 in 5.00 in6.75 in
38#3
0.50 in
10.00 in
Cross section ISH1.5
20.25 in
6.00 in 6.00 in8.25 inW2.9 @ 1.0 in
38#3
0.50 in12.00 in
Analytic models (OpenSees)
Mass=80 kipsAxial load= 80 kips(constant) Axial load with unbonded tendon aprox. 80 Kips
El Centro: 0.33, 0.66, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0Sylmar: 0.2, 0.4, 0.6, 0.8, 1.0, 1.2, 1.4, 1.6, 1.8, 2.0 FLE record: 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0ZAK record: 0.33, 0.66, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5NPS record: 0.2, 0.4, 0.6, 0.8, 1.0, 1.25, 1.5, 1.75
C + UT+PD : As single Column including unbonded tendon.C + AL + PD : As single Column, constant axial load and PDelta.MR + C+PD+ UT : Mass frame, column including unbonded tendon.
Analysis (El Centrox4 - XDisplacement)
-4
-2
0
2
4
6
8
10
0 50 100 150 200 250 300
X D
ispl
acem
ent
(in)
Time (s)
C+UT C+AL+PD MR+C+UT
Analysis (Sylmarx1.6- X Displacement)
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
0 50 100 150 200
X D
ispl
acem
ent
(in)
Time (s)
C+UT C+AL+PD MR+C+UT
Analysis (FLE144x8 - X Displacement)
-5
-4
-3
-2
-1
0
1
2
3
4
5
0 50 100 150 200
X D
ispl
acem
ent
(in)
Time (s)
C+UT C+AL+PD MR+C+UT
Analysis (ZAK270x3.5 - X Displacement)
-5
-4
-3
-2
-1
0
1
2
3
4
0 50 100 150 200
X D
ispl
acem
ent
(in)
Time (s)
C+UT C+AL+PD MR+C+UT
Analysis (NPS210x1.75 - X Displacement)
-6
-5
-4
-3
-2
-1
0
1
2
3
0 20 40 60 80 100
X D
ispl
acem
ent
(in)
Time (s)
C+UT C+AL+PD MR+C+UT
Analysis (Displacement Summary)
-8
-6
-4
-2
0
2
4
6
8
10
0 50 100 150 200 250 300
X D
ispl
acem
ent
(in)
Time (s)
Centro Sylmar FLE144 ZAK270 NPS210
Measured Response (Hysteretic)
-40
-30
-20
-10
0
10
20
30
40
-8 -6 -4 -2 0 2 4 6 8
Base
She
ar (
Kips
)
Displacement (in)
El Centrox4 Uniaxial (Hysteretic)
-40
-30
-20
-10
0
10
20
30
40
-8 -6 -4 -2 0 2 4 6 8
Base
She
ar (
Kips
)
Displacement (in)
Sylmarx1.6 Uniaxial (Hysteretic)
-40
-30
-20
-10
0
10
20
30
40
-8 -6 -4 -2 0 2 4 6 8
Base
She
ar (
Kips
)
Displacement (in)
FLE144 x 8 Uniaxial (Histeretic)
-40
-30
-20
-10
0
10
20
30
40
-8 -6 -4 -2 0 2 4 6 8
Base
She
ar (
Kips
)
Displacement (in)
ZAK270 x 3.5 Uniaxial (Hysteretic)
