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Extra resources for Advanced Reinforced Concrete Design
Some new theoretical developments and the realization that certain similarities exist between the systems of governing differential equations of the stability and dynamic problems and between the solution procedures make it possible to develop simple, closed-form solutions for the critical loads and the natural frequencies. The differential equations and their solutions are given in the following sections. A left-handed coordinate system is used whose origin is fixed in the shear centre on the ground floor level and whose horizontal coordinate axes coincide with principal axes X—Y.
E. the critical load of the building. There is, however, a much simpler way of producing the critical load. 3) can be solved in two steps: the basic critical loads which belong to the basic modes have to be calculated first, then the coupling of the basic modes has to be considered [Zalka, 1994c]. 1 Doubly symmetrical systems—basic critical loads The basic critical loads are those which belong to the basic (uncoupled) critical modes: sway buckling in the principal planes and pure torsional buckling.
Zalka In the boundary conditions, H is the height of the building. 3) can be used to demonstrate the spatial behaviour of the equivalent column. 3. Rotation ϕ appears in all three equations, showing that the resulting deformation is composed of both sway and torsion, as a rule. Possibilities for the combination are shown in Fig. 4 where the whole bracing system is represented by the equivalent column of open, thinwalled cross-section. e. the critical load of the building. There is, however, a much simpler way of producing the critical load.