Analysis of Ductility in Partially Prestressed Concrete Flexural Members

D is a measure of the ability of a material, section, structural element, or structural system to sustain inelastic deformation prior to collapse, without substantial loss in resistance. It is a paramount safety characteristic of structures, especially those built in seismic zones. Ductility plays a significant role in statically indeterminate structures by allowing redistribution of overstresses from one critical section to another thus delaying local failure. The philosophy of limit state design in concrete structures is based on the assumption that sufficient ductility is available under increasing loads to allow formation of plastic hinges and an acceptable collapse mechanism. Structural ductility is often correlated with the ductility of the constituent materials used in the structure. However, structural and material ductilities may show different trends. For instance, an over-reinforced concrete member will show little ductility even if made with a Iow strength ductile concrete; on the other hand, a member made with high strength brittle concrete may show sufficient ductility if the reinforcement ratio is kept at low values. Numerous investigations have dealt with ductility in reinforced concrete structures'45 and a few have been devoted to prestressed concrete. The increasing utilization of partial prestressing (where a combination of reinforcing

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