The course focuses on the advanced understanding of the nonlinear behaviour of structures under static and dynamic loads with emphasis on earthquake loading. The class deals with advanced theoretical concepts of linear and nonlinear structural analysis with emphasis on material constitutive formulations, transformations for second order geometric analysis, alternative elements for nonlinear analysis including beam-column elements as well as zero length elements. State-of-the-art modelling techniques are presented including the most recent modelling guidelines for steel and reinforced concrete structures. A plethora of examples is covered from material to element to system level behaviour including cases where nonlinear analysis is used for assessment of new and existing structures.