Calculation of a Prismatic Body in the Form of a Spatial Beam under Various Boundary Conditions

Rasulmukhammedov, Mukhammadaziz; Mirzayeva, Shokhsanam

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Proceedings of International Conference on Applied Innovation in IT · 2026/06/12 · Vol. 14 · Issue 4 · pp. 313–319

Calculation of a Prismatic Body in the Form of a Spatial Beam under Various Boundary Conditions

Mukhammadaziz Rasulmukhammedov, Shokhsanam Shukurova and Zamira Mirzayeva

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Abstract

Because they are so strong and can hold a lot of weight, reinforced concrete beams are important parts of structures like foundations, walls, floors, and columns. Reinforced concrete structures include steel reinforcement bars that help the material resist both compressive and tensile forces. Because of this interaction, the steel and concrete form a strong structural system that is suitable for buildings designed to carry heavy loads. In applied mathematics, modeling the behavior of beam-like spatial bodies is a complex task because it requires solving systems of differential equations that describe deformation and stress in three-dimensional space. Modern computational mathematics, particularly numerical methods implemented with computer technologies, provides effective tools for solving such problems. In this study, prismatic finite-element meshes were developed to analyze static problems within the three-dimensional theory of elasticity. The proposed method was tested on several benchmark problems, and the results were compared with those obtained using the classical finite element method. The comparison confirmed that the method can accurately describe the mechanical behavior of spatial beam structures under different boundary conditions, making it useful for analyzing reinforced concrete elements.

Keywords

Spatial Prismatic Body Elasticity Flexibility Analysis Finite Element Method (FEM) System of Algebraic Equations Boundary Conditions

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