Hierarchy of Difficulty Concept: Comparison Between Linear and Non Linear Analyses According to EC8

Abstract eng:
The paper deals with the topic of analyses performed according to modern code provisions, in particular Eurocode 8 (EC8) rules. Elastic, non linear static and non linear dynamic analyses of a multi-storey r/c frame building designed according to Eurocode 2 (EC2) and EC8 provisions are carried out. A suite of 7 earthquakes (each with both the horizontal components), fully satisfying the EC8 provisions, are used as input of non linear dynamic analyses; this allows to rigorously compare for the same design spectrum the demand computed by non linear dynamic analysis to the one associated to elastic modal response spectrum analysis and to non linear static analysis. Non linear static and dynamic analyses are performed adopting a lumped plasticity model, characterised by a non linear moment rotation relationship with a tri-linear skeleton curve and a Takeda like hysteretic behaviour which also takes into account the pinching effect. The results show that the 3 methods of analyses provided by EC8 for new buildings respect a correct hierarchy in terms of safety, i.e. simpler is the analysis safer is the result returned (hierarchy of difficulty): the building designed according to elastic analysis is verified by both non linear static and dynamic analyses and displacements and total chord rotations demanded by non linear static methodology are larger than those demanded by non linear dynamic one.

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