In this paper, performance based design of coupling beam using non-linear static analysis is proposed considering probability distribution of flexural and shear strength in order to develop flexural hinge. This method considers post-yielding behavior of coupling beam and stress redistribution of system. It can verify the reduced effective stiffness to meet the current design requirement based on linear analysis. It also evaluates the lateral displacement under service load (un-factored wind load) properly. In addition, it can optimize the coupled shear wall system by taking stress redistribution between members into account. For a simplified 30-story building, non-linear static (push-over) analysis was performed and the structural behavior was checked at performance point and several displacement steps. Furthermore, system behavior according to the amount of reinforcement and depth of coupling beam was explored and compared each other.

Beams strengthened in shear with Carbon Fiber Reinforced Polymer (CFRP) which had different transverse reinforcement ratio were tested to evaluate shear contribution in the CFRP and to analyze shear behavior of each test with Mohr's circle. Strain in the CFRP should be evaluated to estimate the shear contribution in the CFRP which is brittle material. Test results were compared each other based on the Mohr's circle which can correlate shear strain with both principal tensile strain and crack angle. With low transverse steel ratio, shear strengthening with CFRP not only increases the shear strength effectively but also minimizes the loss in shear contribution of concrete by limiting the development of crack. With high transverse steel ratio, the effect on shear strengthening with CFRP is not as much as the beam with low ratio. Therefore, the shear contribution in the CFRP should be evaluated based on the strain compatibility which can consider the interaction between steel and CFRP when determining the shear capacity of a strengthened member.