## Studi Parameter Pilar Jembatan Beton Bertulang dengan Metode Pushover

##### Abstract

There are various methods to make a bridge pier becomes more ductile such as adding more the ties. By adding the ties on the bridge pier, the pier is able to deform larger than those that is not given the ties. It is explained that the difference in ductility could significantly affect the deformation of bridge pier which in turn could influence the progress of the brittle collapse of the concrete. The contribution of ties to the ductility of pier can be seen from the moment-curvature curve. Since the curvature is the slope of the strain diagram on the section, hence the curvature value varies along the span of the member due to the reason of the changes of the neutral axis and the depth of the strain in the crack region. The excessive tension on the concrete will propagate the crack on the pier due to yield of the reinforcement. Thus the failure will take place when the tension is exceeding the strength and deformation capacity of the concrete. It is explained that the evaluation of the pier’s curvature ductility taking into account the contribution of the ties is needed.
Currently, many formulations in the modeling of moment-curvature are proposed to be used in the nonlinear analysis. The difference in the modeling of moment-curvature will affect to the result of curvature ductility and hence to the displacement ductility. This study aims to find out which moment-curvature model that is suitable in predicting the displacement ductility of concrete structure, particularly concrete column. The contribution of the ties on the ductilities of curvature and displacement is taking into account as well. The computer programs for the section analysis namely CUMBIA, RESPONSE-2000 and XTRACT, which are based on the different theories, are used as the tool. The moment-curvature and interaction of axial force-moment resulted from the aforementioned programs are employed to conduct pushover analysis of the bridge pier structure using SAP2000. The result of pushover analysis using the result of CUMBIA is found to be closer to the result of the experimental test conducted by Chung et al. (2008). From the three section analysis programs it is found that the shear force from pushover analysis using CUMBIA’s result is approaching the shear force of experimental test. However, the displacement and ductility resulted from the line element in SAP2000 is not recommended to be used, particularly for the bridge pier, if the data of moment-curvature and axial force-moment are taken from CUMBIA, RESPONSE-2000, or XTRACT. It is due to the fact that the result of pushover analysis is not matched to the backbone curve of hysteresis curve resulted from the experimental test. There are various methods to make a bridge pier becomes more ductile such as adding more the ties. By adding the ties on the bridge pier, the pier is able to deform larger than those that is not given the ties. It is explained that the difference in ductility could significantly affect the deformation of bridge pier which in turn could influence the progress of the brittle collapse of the concrete. The contribution of ties to the ductility of pier can be seen from the moment-curvature curve. Since the curvature is the slope of the strain diagram on the section, hence the curvature value varies along the span of the member due to the reason of the changes of the neutral axis and the depth of the strain in the crack region. The excessive tension on the concrete will propagate the crack on the pier due to yield of the reinforcement. Thus the failure will take place when the tension is exceeding the strength and deformation capacity of the concrete. It is explained that the evaluation of the pier’s curvature ductility taking into account the contribution of the ties is needed.
Currently, many formulations in the modeling of moment-curvature are proposed to be used in the nonlinear analysis. The difference in the modeling of moment-curvature will affect to the result of curvature ductility and hence to the displacement ductility. This study aims to find out which moment-curvature model that is suitable in predicting the displacement ductility of concrete structure, particularly concrete column. The contribution of the ties on the ductilities of curvature and displacement is taking into account as well. The computer programs for the section analysis namely CUMBIA, RESPONSE-2000 and XTRACT, which are based on the different theories, are used as the tool. The moment-curvature and interaction of axial force-moment resulted from the aforementioned programs are employed to conduct pushover analysis of the bridge pier structure using SAP2000. The result of pushover analysis using the result of CUMBIA is found to be closer to the result of the experimental test conducted by Chung et al. (2008). From the three section analysis programs it is found that the shear force from pushover analysis using CUMBIA’s result is approaching the shear force of experimental test. However, the displacement and ductility resulted from the line element in SAP2000 is not recommended to be used, particularly for the bridge pier, if the data of moment-curvature and axial force-moment are taken from CUMBIA, RESPONSE-2000, or XTRACT. It is due to the fact that the result of pushover analysis is not matched to the backbone curve of hysteresis curve resulted from the experimental test.

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