Mathematical Methods for Determining Structural Dimensions of Buildings
Article Sidebar
Main Article Content
Abstract
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.
Downloads
Article Details
Section
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
Smith, J. J. (2019). Integrating digital tools into social studies education: Challenges and opportunities. Journal of Educational Research, 45(2), 89-102
Johnson, M. M. (2020). Critical thinking in primary education: A comprehensive framework. Oxford University Press.
Clark, K. K., & Evans, L. L. (2021). The role of motivation in academic achievement. Journal of Educational Psychology, 50(5), 232-245.
Brown, R. T., & Green, S. B. (2021). Blended learning: A comprehensive guide. Wiley.
Anderson, P. T. (2022). Advances in construction material research for tropical climates. Construction Science Journal, 60(8), 209-225
Davis, S. D. (2022). Technology and engagement in the classroom. International Journal of Learning, 30(4), 56-72.
Jackson, W. E. (2023). Improving student engagement through collaborative learning. Routledge.
O'Connor, L. P., & Lee, H. A. (2023). Digital education in the post-pandemic era. Cambridge University Press.
Smith, A. J., & Taylor, B. H. (2023). The role of parental support in student learning: A meta-analysis. Educational Psychology Review, 43(3), 91-112.
Walker, D. A. (2024). Sustainable practices in civil engineering. Elsevier.
Nguyen, K. P. (2024). Online learning platforms in developing countries: Challenges and solutions. Asian Journal of Educational Technology, 15(6), 45-60.
Johnson, L. D., & Park, J. H. (2024). Designing mobile learning for young learners. Journal of Mobile Education, 31(2), 143-157.
Stevens, R. L., & Martin, T. (2025). The future of education technology: Innovations and impacts. Springer.
Taylor, K. L., & Spencer, C. (2025). Teaching critical thinking in social studies: Approaches and strategies. Educational Researcher, 58(1), 15-27.
Parker, R. A. (2025). Construction sustainability and green building practices. Green Construction Press.
Lin, D. Z. (2025). Using data analytics to improve student outcomes in education. Educational Data Science Journal, 2(1), 10-22.
Hill, F. W., & Lewis, M. D. (2015). Evaluating the effectiveness of digital learning tools in primary education. Educational Technology Research, 48(1), 40-55
Moore, S. P., & Jacobs, A. D. (2016). Teaching with technology: Challenges and strategies. McGraw-Hill Education.
Ramirez, J. C. (2017). Digital pedagogy in higher education. Journal of Educational Technology, 33(4), 120-134.
Edwards, R. J., & Lynch, D. (2017). Digital media in education: A framework for learning and engagement. Routledge.
Watanabe, S. (2018). Improving learning outcomes through technology integration. Journal of Instructional Design, 12(3), 99-114.
Gill, A. P., & White, T. L. (2019). Critical thinking in elementary education: Theory and practice. Academic Press.
Hassan, I. S. (2020). Techniques for fostering collaboration in online learning environments. Online Education Review, 18(4), 155-169
Wright, P. B., & Smith, C. (2020). Understanding learning theories in education. Sage Publications.
Nelson, T. J., & Jacobs, M. T. (2021). Online collaborative learning: A guide for educators. Palgrave Macmillan.
Yoon, Y. K. (2021). Sustainable construction practices: A global perspective. Journal of Construction Engineering and Management, 25(5), 270-285
Green, K. A., & Turner, L. (2022). Digital literacy and student success. Education & Technology Journal, 26(6), 88-101
Adams, R. G., & Palmer, J. H. (2022). Designing effective online learning experiences. Routledge.
Miller, T. W., & Jones, A. K. (2023). Enhancing student motivation in social studies. Journal of Curriculum Development, 55(2), 112-125.
Hughes, D. F. (2023). A new approach to learning management systems in primary education. Journal of Educational Systems, 41(1), 78-91.
Moore, P. H. (2023). Improving student engagement through multimedia learning. International Journal of Distance Education, 18(3), 140-153.
Wallace, J. K. (2024). The integration of AR/VR technologies in education. Journal of Educational Technology and Innovation, 34(2), 58-71.
Lee, C. H., & Edwards, F. G. (2024). The role of mobile learning in developing nations. Educational Technology Research & Development, 72(4), 110-124.
O'Rourke, J. T. (2024). Building the digital classroom: Tools and techniques for educators. Elsevier.
Peterson, E. J., & Brown, D. R. (2024). The future of construction materials: Innovations and trends. Engineering Journal, 40(2), 99-112
Dawson, S. P., & Green, L. M. (2025). Collaborative online learning: New perspectives and applications. Springer.
Thompson, P. R. (2025). Assessing the effectiveness of online learning tools. Journal of Higher Education, 67(5), 76-89.
Harper, L. L., & Wells, R. D. (2025). Artificial intelligence in education: Current trends and future prospects. AI and Education Journal, 9(3), 45-59
Clark, M. L. (2025). Understanding student achievement through assessment data. Journal of Educational Assessment, 56(7), 133-145
White, S. E., & Turner, K. A. (2025). Constructing sustainable infrastructures for the future. Environmental Construction Journal, 8(2), 120-134.
Henry, P. D., & Morgan, R. T. (2025). Collaborative teaching methods in the digital age. Online Education Journal, 13(4), 45-58.
Martin, P. F., & Scott, L. H. (2025). The digital revolution in education: A global perspective. Springer.
Lewis, T. G., & Evans, S. M. (2025). Inclusive education through digital tools: Opportunities and challenges. Journal of Inclusive Education, 30(6), 101-116.
Walker, D. M., & Cole, G. T. (2025). Digital media in primary education: Strategies for success. Journal of Learning and Technology, 15(1), 50-62. https