Modeling and Calculation Method of Reinforced Loaded Rod Structures
Main Article Content
Abstract
The paper presents mathematical models developed by the authors and a variational method for calculating spatial rod structures reinforced in a loaded state. The proposed models and calculation method offer broader capabilities compared to existing ones. Their application enables calculations for rod systems reinforced through methods such as increasing the cross-sections of rods, modifying the design scheme, and altering the deformed state. Complex rod structures with various cross-sectional shapes are examined. The calculations are based on the hypotheses of Timoshenko's beam theory. For thin-walled rods, the principles of thin-walled rod theory are additionally applied, taking shear deformations into account. It is assumed that the material of the rod element follows the diagram of a linearly hardening material. The calculation of the stress-strain state (SSS) of the reinforced structure is performed in stages:
1) at the initial stage, displacements and stresses in the structural elements under the action of initial loads are calculated;
2) at the second stage, the values of the mounting forces and stresses arising when reinforcing elements are attached to the main structural elements are determined;
3) at the final stage, the reinforced structure is analyzed under the effects of additional loads applied after reinforcement.
Based on the proposed models and calculation method, examples of calculation for operational structures reinforced by various methods are provided.
Article Details
References
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