Unified displacement calculation theory of generalized structure with double resistances to lateral force

The building structure is considered as a structure withdouble resistance to lateral force and consists of two substructures ingeneralized concept. Horizontal deformation of the substructure consists ofbending deformation and shear deformation. Unified displacement calculationmethod of the dual structure in elastic stage will be proposed in thispaper. The basic regulation between internal force and deformation of everysubstructure obeys Timoshenko beam theory. Based on cooperative workmechanism of two substructures, the unified displacement differentialequation of generalized structure with double resistance to lateral force isestablished by deformation continuation approach. Taking uniform load as asample, the unified displacement analytical solutions of the dual structureare deduced which include bending deformation solution, shear deformationsolution and the total deformation solution. The displacement differentialequation, special solution and displacement analytical expressions arecompared between frame-shear wall structure and generalized structure withdouble resistances to lateral force. Frame-shear wall structure can beregarded as one of the concrete expression forms of the double structure.Numerical example results indicate that calculation accuracy by analyticalmethod can meet the requirement to the middle-high dual structures. Theunified displacement theory of generalized dual structure makes structureswith different deformation characteristics to connect together essentially,and it has important theoretical significance for us to understanddeformation mechanism and internal relations of the building structuresdeeply.