Formulas for Calculating Composite Rod with Initial Curvature

[摘要] The problem of stress distribution in the cross-section of an initially curved composite rod is solved in normal (master) coordinates by the method of partial stiffness. The correctness of the obtained solution is confirmed by comparison with other solutions, other methods and are special cases of a more general solution presented. The formulas to determine the center of stiffness and torsional (flexural) stiffness of the cross-section are derived. The formulas take into account the offset center of rigidity of the nonlinear nature of section deformation of composite materials as well as the case of a non-uniform distribution of the reinforcement material. One needs to take into account a changing moment of the «inertia» section when changing the position of the stiffness center The paper shows the possibility to solve the problems of expansion of the discrete and continual static indeterminacy basing on the superposition principle and applying the method of partial stiffness without the need of using the equation systems. These circumstances offer an opportunity to address the task of optimization in a non-linear statement without iterative methods application. The obtained formulas allow producing an updated calculation of rod reinforced concrete structures in the field of curved interfaces of their elements.

[发布机构] Department of Construction Industry and Theory of Structures, South Ural State University, Lenin Avenue, 76, Chelyabinsk; 454080, Russia^1

[学科分类] 土木及结构工程学

[关键词] Center of rigidities;Equation systems;General solutions;Initial curvature;Non-uniform distribution;Reinforcement materials;Section deformations;Superposition principle