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This paper presents an e ective optimization technique for the elastic and inelastic drift performance design of reinforced concrete buildings under response spectrum loading and pushover loading. Attempts have been made to develop an automatic optimal elastic and inelastic drift design of concrete framework structures. The entire optimization procedure can be divided into elastic design optimization and inelastic design optimization. Using the principle of virtual work, the elastic drift response generated by the response spectrum loading and the inelastic drift response produced by the non-linear pushover loading can be explicitly expressed in terms of element sizing design variables. The optimization methodology for the solution of the explicit design problem of buildings is fundamentally based on the Optimality Criteria approach. One ten-story, two-bay building frame example is presented to illustrate the e ectiveness and practicality of the proposed optimal design method. While rapid convergence in a few design cycles is found in the elastic optimization process, relatively slow but steady and smooth convergence of the optimal performance-based design is found in the inelastic optimization process.

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In order to meet the emerging trend of the performance-based design approach and to improve the design efficiency, this chapter presents a numerical optimization technique for both minimum material cost and life-cycle cost design of building structures subject to multiple levels of linear elastic and nonlinear elastic seismic drift performance design constraints. This chapter firstly introduces an elastic seismic drift design of reinforced concrete (RC) building structures based on elastic response spectrum analysis method; and then presents the inelastic design optimization based on the nonlinear pushover analysis method. Finally, the optimal seismic performance-based design of RC buildings is posed as a multi-objective optimization problem in which the life-cycle cost of a building is to be minimised subject to multiple levels of seismic performance design criteria. The computer based optimization methodology developed provides a powerful numerical design tool for performance-based design of RC building structures.

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