1.054/1.541 Mechanics and Design of Concrete Structures Spring 2004Prof. Oral Buyukozturk 1 / 9Massachusetts Institute of Technology1.054/1.541 Mechanics and Design of Concrete Structures (3-0-9) Outline 6 Ductility and DeflectionsDuctility oToughness, deformability, energy absorption capacity sAd b yϕcεkd uεuϕsyεε>csyεε=oFor beams failing in flexure the ductility ratio can be defined as the ratio of the curvature at ultimate moment to the curvature at yield. Yield condition: ()11yysfEdkϕ=−Ultimate condition: 1uuucaεε βϕ==ÆDuctility = ()11uuyysdkfEaϕεϕβ−=ÆThe ratio gives a measure of the curvature ductility of the cross section. oDuctility characterizes the deformation capacity of members (structures) after yielding, or their ability to dissipate energy. oIn general, ductility is a structural property which is governed by fracture and depends on structure size.
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