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International 
OPEN ACCESS Journal 
Of Modern Engineering Research (IJMER) 
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.7| July. 2014 | 58| 
Seismic Assessment of Existing Bridge Using OPENSEES Jadhav S. S.1, Pawar P. M.2, Kadam Gauri3 1(PG Student ME Civil (Structures),SVERI’s C.O.Engg., Pandharpur, Solapur University, India) 2 (Professor, Department of Civil Engineering, C.O.Engg.,Pandharpur, Solapur University, India) 3(Technical Officer, CAE Group, Centre for Development of Advanced Computing, Pune, India) 
I. INTRODUCTION 
A large number of bridges were designed and constructed at a time when bridge codes were insufficient according to current standards. The deficiencies in highway bridges designed prior period result in excessive seismic displacements and large force demands that were substantially underestimated. The existing bridge inventory designed to previous provisions is thus likely to suffer damage when subjected to seismic scenarios comparable to those observed in severe earthquakes. This performance-based evaluation approach requires bridges to satisfy different performance criteria for different levels of ground motion. For instance, the bridge may suffer minor damage but should be operational under frequent earthquakes with low intensity. Under infrequent earthquakes with large intensity, the bridge should provide an acceptable level of life-safety. Quantifying the level of risk associated with anticipated earthquake scenarios enables taking rational decisions to retrofit, replace or accept the risk. 
II. DESCRIPTION AND MODLLING 
2.1 Description of two span bridges at Korti This bridge carries the two lanes of state road from Pandharpur to Satara having span length of 25 m each. The two spans support the 300mm thick concrete deck with four T-shaped concrete girders having total depth of 1.35m. Each of these girders rests upon 500mm X 300mm X 64mm neoprene bearing pads. The coefficient of friction for these bearing pads is 0.3. Two spans are supported by pier 1.22m diameter with 75mm of concrete cover. The columns are reinforced longitudinally with 24 -16mm bars and transversely with 8mm bars uniformly spaced at 250mm from bottom of the hinge zone to top of foundation, and spaced at 150mm inside the hinge zone. The total column length is 12.27 and length above grade is 6.71m. The size of deck is 11.9m in width with thickness of 0.3m supported on four T-girders (Web size 1.35m X 0.3m). Embankment length is 25m and its depth 0.5m with total weight of about 30000KN. 2.2 Nonlinear Fiber Section [1] The nonlinear Fiber section for the column- Nonlinear beam-column elements with fiber section (Fig.2.1) are used to simulate the column. Forced-based beamcolumn elements (nonlinearBeamColumn, Mazzoni et al. 2009) are used for the column (1 element, number of integration points = 5) as well as the pile shaft below grade (number of integration points = 3). The Steel02 material in OpenSees (Mazzoni et al. 2009) is employed to simulate the steel bars and Concrete02 material is used for the concrete (core and cover). Steel02 is a uniaxial Giuffré-Menegotto-Pinto material that allows for isotropic strain hardening. Concrete02 is a uniaxial material with linear tension softening. The default values for the material properties of the Fiber section are listed in Table 2 for Steel02 and Table 3 for Concrete02 (core and cover). The Concrete02 material parameters were obtained from the Mander (1988) constitutive relationships for confined and unconfined concrete. More details on the derivation of the default values and the OpenSees uniaxialMaterial definitions used for each material. 
Abstract: The task of this paper is to determine if the response of existing bridge near village Korti in the vicinity of Pandharpur, designed using the Indian Standard Specifications would meet performance requirements when subjected to the moderate seismic hazard. This paper will provide an analysis of designed bridge behavior in Korti near Pandharpur, and determine if this behavior is acceptable for bridges classified as critical or essential. Analysis of this bridge is carried out using software framework OPENSEES. 
Keywords: bridge, nonlinear analysis, opensees, simulation.
Seismic Assessment of Existing Bridge Using OPENSEES 
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.7| July. 2014 | 59| 
Fig. 2.1 Column fibre section (based on PEER best modelling practices report, Berry and Eberhard, 2007) 
Table 4.1 Values for Column Reinforced 
Concrete (RC) Section Properties 
Parameter Value 
Longitudinal bar size 16 
Longitudinal steel % 2 
Transverse bar size 8 
Transverse steel % 1.6 
Steel unit weight (kN/m3) 77 
Steel yield strength (kPa) 460,000 
Concrete unit weight (kN/m3) 22.8 
Concrete unconfined strength (kPa) 27,600 
Table 4.2. Values for Steel02 Material Properties 
Parameter Value Typical range 
Steel yield strength (kPa) 460,000 345,000-470,000 
Young’s modulus (MPa) 200,000 - 
Strain-hardening ratio* 0.01 0.005-0.025 
Controlling parameter R0** 15 10-20 
Controlling parameter cR1** 0.925 -- 
Controlling parameter cR2** 0.15 -- 
*The strain-hardening ratio is the ratio between the post-yield stiffness and the initial elastic stiffness. 
**The constants R0, cR1 and cR2 are parameters to control the transition from elastic to plastic branches. 
Table 4.3. Values for Concrete02 Material Properties 
Parameter Core Cover 
Elastic modulus (MPa) 25,312 25,312 
Compressive strength (kPa) -46,457 -27,600 
Strain at maximum strength -0.00367 -0.002 
Crushing strength (kPa) -44,9790 
Strain at crushing strength -0.036 -0.006 
Ratio between unloading slope 0.1 0.1 
Tensile strength (kPa) 6504 3864 
Tensile softening stiffness (kPa) 1,771,820 1,932,000 
Table 4. 4. Values for Bridge Deck 
Bridge Deck Parameters 
Parameter Value 
Deck length (m) 50.0 
Deck width (m) 11.9 
Deck depth (m) 1.35 
Table 4.5. Values for Deck Material Properties 
Parameter Value 
Elastic modulus (MPa) 28,000 
Shear modulus (MPa) 11,500 
Cross-section area (m2) 5.72 
Moment of inertia @ transverse axis (m4) 2.81 
Moment of inertia @ vertical axis (m4) 53.9 
Weight per unit length (kN/m) 130.3 
2.3 Abutment Model-Simplified Model (SDC 2004) [1] 
The simplified model of the embankment-abutment system provides several nonlinear springs to 
better represent abutment-bridge interaction that is neglected with the elastic or roller abutment models. The 
general scheme of the simplified model is presented in Fig. . It consists of a rigid element of length dw 
(superstructure width), connected through a rigid joint to the superstructure centerline, with defined 
longitudinal, transverse and vertical nonlinear response at each end.
Seismic Assessment of Existing Bridge Using OPENSEES 
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.7| July. 2014 | 60| 
Fig. 2.2 General scheme of the Simplified abutment model [2] 
2.4 Specifications of Performance Based Earthquake Engineering Input Motions: 
To conduct a PBEE analysis, input motions must be defined. Following ground motions are used for 
this project. 
Table 2.1 
Fig. 2.3 Time histories and response spectra of individual record
Seismic Assessment of Existing Bridge Using OPENSEES 
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.7| July. 2014 | 61| 
III. Results 
3.1 SRSS Responses for Each Performance Group 
PG1: Max tangential drift ratio SRSS (col) PG2: Residual tangential drift ratio SRSS (col) PG3: Max long relative deck-end/abut disp (left) PG4: Max long relative deck-end/abut disp (right) PG5: Max absolute bearing disp (left abut) PG6: Max absolute bearing disp (right abut) PG7: Residual vertical disp (left abut) PG8: Residual vertical disp (right abut) PG9: Residual pile cap disp SRSS (left abut) PG10: Residual pile cap disp SRSS (right abut) PG11: Residual pile cap disp SRSS (col) Table 3.1 
Re c. 
PG1 (%) 
PG2 (%) 
PG3 (m) 
PG4 (m) 
PG5 (m) 
PG6 (m) 
PG7 (m) 
PG8 (m) 
1 
0.1127 
0.00032 
0.01018 
0.0092 
0.0104 
0.0104 
0.00794 
0.00794 
2 
0.4584 
0.00066 
0.03344 
0.0396 
0.0339 
0.03397 
0.06808 
0.00709 
PG9 (m) 
PG10 (m) 
PG11 (m) 
0.00025 
0.00026 
9.4e-6 
1.6048 
2.1e-04 
2.7e-05 
3.2 Intensity Measures (Free-field Response) 
The intensity measures include: ď‚· PGA (Peak Ground Acceleration) ď‚· PGV (Peak Ground Velocity) ď‚· PGD (Peak Ground Displacement) ď‚· D5-95 (Strong Motion Duration) ď‚· CAV (Cumulative Absolute Velocity) ď‚· Arias Intensity ď‚· SA (Spectral Acceleration; assuming 1 second period) ď‚· SV (Spectral Velocity), SD (Spectral Displacement) ď‚· PSA (Pseudo-spectral Acceleration) ď‚· PSV (Pseudo-spectral Velocity) The strong motion duration (D5-95) is defined according to the time domain bounded by the 5% and 95% cumulative Arias intensity of the record. All of the spectral intensity measures are defined at an effective viscous damping of 5%. Table 3.2 Longitudinal direction 
Rec. 
PGA (g) 
PGV (cm/sec) 
PGD (cm) 
D(5- 95) (sec) 
CAV (cm/sec) 
Arias Bracketed (cm/sec) 
SA (g) 
SV (cm/sec) 
SD (cm) 
PSA (g) 
PSV (cm/sec) 
1 
0.139 
26.491 
12.94 
37.7 
488.64 
20.68 
0.182 
22.31 
4.515 
0.1817 
28.36 
2 
0.199 
13.756 
3.875 
37.1 
665.82 
47.17 
0.256 
45.45 
6.349 
0.2556 
39.89
Seismic Assessment of Existing Bridge Using OPENSEES 
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.7| July. 2014 | 62| 
Table 3.3 Transverse direction 
Rec. 
PGA (g) 
PGV (cm/sec) 
PGD (cm) 
D(5- 95) (sec) 
CAV (cm/sec) 
Arias Bracketed (cm/sec) 
SA (g) 
SV (cm/sec) 
SD (cm) 
PSA (g) 
PSV (cm/sec) 
1 
0.057 
13.194 
10.16 
37.5 
414.87 
12.28 
0.133 
20.46 
3.291 
0.1325 
20.68 
2 
0.154 
11.864 
5.605 
36.5 
555.25 
32.70 
0.177 
26.01 
4.402 
0.1772 
27.65 
Table 3.4 Horizontal SRSS 
Rec. 
PGA (g) 
PGV (cm/sec) 
PGD (cm) 
D(5- 95) (sec) 
CAV (cm/sec) 
Arias Bracketed (cm/sec) 
SA (g) 
SV (cm/sec) 
SD (cm) 
PSA (g) 
PSV (cm/sec) 
1 
0.139 
26.491 
12.94 
37.7 
716.99 
33.02 
0.0988 
10.49 
2.447 
0.0985 
15.38 
2 
0.210 
17.251 
5.713 
36.8 
961.41 
79.89 
0.1434 
12.01 
3.550 
0.1429 
22.30 
IV. Conclusion 
This project presents highlights to assess the seismic response of a two span bridge. The focus is on describing the methodology adopted to idealize the bridge and its foundation system, while only summary of results from the extensive elastic and inelastic analyses under the effect of input ground motions are presented. The demands corresponding to the ground motions are well within the collapse limit state and the capacity of bridge components. Under the ground motions, the response of the bridge was acceptable. The presented assessment study confirmed there is no need to retrofit different bridge components to mitigate potential seismic risk. Acknowledgements I am extremely thankful and pay gratitude to Mr. Asvija (C-DAC Bangalore, GRID GARUDA) for their valuable support and cooperation. REFERENCES Book: [1] Jinchi Lu et al., Bridge PBEE: Open Sees 3D Pushover and Earthquake Analysis of Single-Column 2-span Bridges By PEER Berkeley Dec.2011 13-23. Report: [2] Aviram et al.,Guidelines for Nonlinear Analysis of Bridge Structures in California, PEER Report 2008/03 Pacific Earthquake Engineering Research Center College of Engineering University of California, Berkeley August 2008, 46.

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SEISMIC ASSESSMENT OF BRIDGE

  • 1. International OPEN ACCESS Journal Of Modern Engineering Research (IJMER) | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.7| July. 2014 | 58| Seismic Assessment of Existing Bridge Using OPENSEES Jadhav S. S.1, Pawar P. M.2, Kadam Gauri3 1(PG Student ME Civil (Structures),SVERI’s C.O.Engg., Pandharpur, Solapur University, India) 2 (Professor, Department of Civil Engineering, C.O.Engg.,Pandharpur, Solapur University, India) 3(Technical Officer, CAE Group, Centre for Development of Advanced Computing, Pune, India) I. INTRODUCTION A large number of bridges were designed and constructed at a time when bridge codes were insufficient according to current standards. The deficiencies in highway bridges designed prior period result in excessive seismic displacements and large force demands that were substantially underestimated. The existing bridge inventory designed to previous provisions is thus likely to suffer damage when subjected to seismic scenarios comparable to those observed in severe earthquakes. This performance-based evaluation approach requires bridges to satisfy different performance criteria for different levels of ground motion. For instance, the bridge may suffer minor damage but should be operational under frequent earthquakes with low intensity. Under infrequent earthquakes with large intensity, the bridge should provide an acceptable level of life-safety. Quantifying the level of risk associated with anticipated earthquake scenarios enables taking rational decisions to retrofit, replace or accept the risk. II. DESCRIPTION AND MODLLING 2.1 Description of two span bridges at Korti This bridge carries the two lanes of state road from Pandharpur to Satara having span length of 25 m each. The two spans support the 300mm thick concrete deck with four T-shaped concrete girders having total depth of 1.35m. Each of these girders rests upon 500mm X 300mm X 64mm neoprene bearing pads. The coefficient of friction for these bearing pads is 0.3. Two spans are supported by pier 1.22m diameter with 75mm of concrete cover. The columns are reinforced longitudinally with 24 -16mm bars and transversely with 8mm bars uniformly spaced at 250mm from bottom of the hinge zone to top of foundation, and spaced at 150mm inside the hinge zone. The total column length is 12.27 and length above grade is 6.71m. The size of deck is 11.9m in width with thickness of 0.3m supported on four T-girders (Web size 1.35m X 0.3m). Embankment length is 25m and its depth 0.5m with total weight of about 30000KN. 2.2 Nonlinear Fiber Section [1] The nonlinear Fiber section for the column- Nonlinear beam-column elements with fiber section (Fig.2.1) are used to simulate the column. Forced-based beamcolumn elements (nonlinearBeamColumn, Mazzoni et al. 2009) are used for the column (1 element, number of integration points = 5) as well as the pile shaft below grade (number of integration points = 3). The Steel02 material in OpenSees (Mazzoni et al. 2009) is employed to simulate the steel bars and Concrete02 material is used for the concrete (core and cover). Steel02 is a uniaxial GiuffrĂ©-Menegotto-Pinto material that allows for isotropic strain hardening. Concrete02 is a uniaxial material with linear tension softening. The default values for the material properties of the Fiber section are listed in Table 2 for Steel02 and Table 3 for Concrete02 (core and cover). The Concrete02 material parameters were obtained from the Mander (1988) constitutive relationships for confined and unconfined concrete. More details on the derivation of the default values and the OpenSees uniaxialMaterial definitions used for each material. Abstract: The task of this paper is to determine if the response of existing bridge near village Korti in the vicinity of Pandharpur, designed using the Indian Standard Specifications would meet performance requirements when subjected to the moderate seismic hazard. This paper will provide an analysis of designed bridge behavior in Korti near Pandharpur, and determine if this behavior is acceptable for bridges classified as critical or essential. Analysis of this bridge is carried out using software framework OPENSEES. Keywords: bridge, nonlinear analysis, opensees, simulation.
  • 2. Seismic Assessment of Existing Bridge Using OPENSEES | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.7| July. 2014 | 59| Fig. 2.1 Column fibre section (based on PEER best modelling practices report, Berry and Eberhard, 2007) Table 4.1 Values for Column Reinforced Concrete (RC) Section Properties Parameter Value Longitudinal bar size 16 Longitudinal steel % 2 Transverse bar size 8 Transverse steel % 1.6 Steel unit weight (kN/m3) 77 Steel yield strength (kPa) 460,000 Concrete unit weight (kN/m3) 22.8 Concrete unconfined strength (kPa) 27,600 Table 4.2. Values for Steel02 Material Properties Parameter Value Typical range Steel yield strength (kPa) 460,000 345,000-470,000 Young’s modulus (MPa) 200,000 - Strain-hardening ratio* 0.01 0.005-0.025 Controlling parameter R0** 15 10-20 Controlling parameter cR1** 0.925 -- Controlling parameter cR2** 0.15 -- *The strain-hardening ratio is the ratio between the post-yield stiffness and the initial elastic stiffness. **The constants R0, cR1 and cR2 are parameters to control the transition from elastic to plastic branches. Table 4.3. Values for Concrete02 Material Properties Parameter Core Cover Elastic modulus (MPa) 25,312 25,312 Compressive strength (kPa) -46,457 -27,600 Strain at maximum strength -0.00367 -0.002 Crushing strength (kPa) -44,9790 Strain at crushing strength -0.036 -0.006 Ratio between unloading slope 0.1 0.1 Tensile strength (kPa) 6504 3864 Tensile softening stiffness (kPa) 1,771,820 1,932,000 Table 4. 4. Values for Bridge Deck Bridge Deck Parameters Parameter Value Deck length (m) 50.0 Deck width (m) 11.9 Deck depth (m) 1.35 Table 4.5. Values for Deck Material Properties Parameter Value Elastic modulus (MPa) 28,000 Shear modulus (MPa) 11,500 Cross-section area (m2) 5.72 Moment of inertia @ transverse axis (m4) 2.81 Moment of inertia @ vertical axis (m4) 53.9 Weight per unit length (kN/m) 130.3 2.3 Abutment Model-Simplified Model (SDC 2004) [1] The simplified model of the embankment-abutment system provides several nonlinear springs to better represent abutment-bridge interaction that is neglected with the elastic or roller abutment models. The general scheme of the simplified model is presented in Fig. . It consists of a rigid element of length dw (superstructure width), connected through a rigid joint to the superstructure centerline, with defined longitudinal, transverse and vertical nonlinear response at each end.
  • 3. Seismic Assessment of Existing Bridge Using OPENSEES | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.7| July. 2014 | 60| Fig. 2.2 General scheme of the Simplified abutment model [2] 2.4 Specifications of Performance Based Earthquake Engineering Input Motions: To conduct a PBEE analysis, input motions must be defined. Following ground motions are used for this project. Table 2.1 Fig. 2.3 Time histories and response spectra of individual record
  • 4. Seismic Assessment of Existing Bridge Using OPENSEES | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.7| July. 2014 | 61| III. Results 3.1 SRSS Responses for Each Performance Group PG1: Max tangential drift ratio SRSS (col) PG2: Residual tangential drift ratio SRSS (col) PG3: Max long relative deck-end/abut disp (left) PG4: Max long relative deck-end/abut disp (right) PG5: Max absolute bearing disp (left abut) PG6: Max absolute bearing disp (right abut) PG7: Residual vertical disp (left abut) PG8: Residual vertical disp (right abut) PG9: Residual pile cap disp SRSS (left abut) PG10: Residual pile cap disp SRSS (right abut) PG11: Residual pile cap disp SRSS (col) Table 3.1 Re c. PG1 (%) PG2 (%) PG3 (m) PG4 (m) PG5 (m) PG6 (m) PG7 (m) PG8 (m) 1 0.1127 0.00032 0.01018 0.0092 0.0104 0.0104 0.00794 0.00794 2 0.4584 0.00066 0.03344 0.0396 0.0339 0.03397 0.06808 0.00709 PG9 (m) PG10 (m) PG11 (m) 0.00025 0.00026 9.4e-6 1.6048 2.1e-04 2.7e-05 3.2 Intensity Measures (Free-field Response) The intensity measures include: ď‚· PGA (Peak Ground Acceleration) ď‚· PGV (Peak Ground Velocity) ď‚· PGD (Peak Ground Displacement) ď‚· D5-95 (Strong Motion Duration) ď‚· CAV (Cumulative Absolute Velocity) ď‚· Arias Intensity ď‚· SA (Spectral Acceleration; assuming 1 second period) ď‚· SV (Spectral Velocity), SD (Spectral Displacement) ď‚· PSA (Pseudo-spectral Acceleration) ď‚· PSV (Pseudo-spectral Velocity) The strong motion duration (D5-95) is defined according to the time domain bounded by the 5% and 95% cumulative Arias intensity of the record. All of the spectral intensity measures are defined at an effective viscous damping of 5%. Table 3.2 Longitudinal direction Rec. PGA (g) PGV (cm/sec) PGD (cm) D(5- 95) (sec) CAV (cm/sec) Arias Bracketed (cm/sec) SA (g) SV (cm/sec) SD (cm) PSA (g) PSV (cm/sec) 1 0.139 26.491 12.94 37.7 488.64 20.68 0.182 22.31 4.515 0.1817 28.36 2 0.199 13.756 3.875 37.1 665.82 47.17 0.256 45.45 6.349 0.2556 39.89
  • 5. Seismic Assessment of Existing Bridge Using OPENSEES | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss.7| July. 2014 | 62| Table 3.3 Transverse direction Rec. PGA (g) PGV (cm/sec) PGD (cm) D(5- 95) (sec) CAV (cm/sec) Arias Bracketed (cm/sec) SA (g) SV (cm/sec) SD (cm) PSA (g) PSV (cm/sec) 1 0.057 13.194 10.16 37.5 414.87 12.28 0.133 20.46 3.291 0.1325 20.68 2 0.154 11.864 5.605 36.5 555.25 32.70 0.177 26.01 4.402 0.1772 27.65 Table 3.4 Horizontal SRSS Rec. PGA (g) PGV (cm/sec) PGD (cm) D(5- 95) (sec) CAV (cm/sec) Arias Bracketed (cm/sec) SA (g) SV (cm/sec) SD (cm) PSA (g) PSV (cm/sec) 1 0.139 26.491 12.94 37.7 716.99 33.02 0.0988 10.49 2.447 0.0985 15.38 2 0.210 17.251 5.713 36.8 961.41 79.89 0.1434 12.01 3.550 0.1429 22.30 IV. Conclusion This project presents highlights to assess the seismic response of a two span bridge. The focus is on describing the methodology adopted to idealize the bridge and its foundation system, while only summary of results from the extensive elastic and inelastic analyses under the effect of input ground motions are presented. The demands corresponding to the ground motions are well within the collapse limit state and the capacity of bridge components. Under the ground motions, the response of the bridge was acceptable. The presented assessment study confirmed there is no need to retrofit different bridge components to mitigate potential seismic risk. Acknowledgements I am extremely thankful and pay gratitude to Mr. Asvija (C-DAC Bangalore, GRID GARUDA) for their valuable support and cooperation. REFERENCES Book: [1] Jinchi Lu et al., Bridge PBEE: Open Sees 3D Pushover and Earthquake Analysis of Single-Column 2-span Bridges By PEER Berkeley Dec.2011 13-23. Report: [2] Aviram et al.,Guidelines for Nonlinear Analysis of Bridge Structures in California, PEER Report 2008/03 Pacific Earthquake Engineering Research Center College of Engineering University of California, Berkeley August 2008, 46.