Mathematical Methods for Determining Structural Dimensions of Buildings
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Gamaliel K. Jarek and Mualifah Elisha Hosana (2025). Mathematical Methods for Determining Structural Dimensions
This study examines the application of various mathematical methods in determining the structural dimensions of buildings as an essential component of civil engineering design. The methods analyzed include static analysis, elasticity and stiffness analysis, dynamic analysis, linear programming for optimization, and the application of safety factors. A theoretical approach is adopted and supported by sample calculations of column, beam, and foundation dimensions in a simple building model. The findings indicate that each method possesses distinct characteristics, advantages, and limitations; therefore, the selection of an appropriate method must be aligned with the structural complexity, loading conditions, and design objectives. Static analysis offers a straightforward solution for simple structures, whereas elasticity and stiffness methods are more suitable for complex structural systems. Dynamic analysis is crucial for structures subjected to seismic or wind-induced loads, while linear programming significantly contributes to material and cost optimization. The application of safety factors is also essential for ensuring structural reliability under uncertainty. This study recommends the integrated use of complementary mathematical methods and the utilization of structural analysis software to enhance design accuracy. The findings reaffirm the importance of a comprehensive mathematical approach in producing safe, efficient, and economical building structures.
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