• OBADIAH MAXWELL
• AUWAL SULEIMAN
• GODDAY ABU OGAR
• SALEH MUHAMMAD ALI

Mathematical modelling of force-displacement in high-rise frame structure was carried out to examine the most common structural systems that are used for reinforced concrete, under the action of gravity and wind loads, these treatments may lead to erroneous wind loading predictions for the structural design. Measured pressures are typically used for the structural design without the calibration in the engineering practice. Therefore, a rigid frame was used as the structure. The behavior of the frame under different wind load condition, was modelled and studied. In this study, a 15 stories of frame structure was analysed and designed with the changing of minimum wind pressure to 1kN/m, 2kN/m, 3kN/m, 4kN/m, and 5kN/m that produce wind load forces at each story starting from (3-15 stories). A total number of 65 sample variables of displacement values respectively test were obtained. ANOVA was carried out on the data obtained and the regression model was developed as F = 2.430 - 0.2621 FL + 0.08460 DX, from Minitab i.e. the independent variable "F" and the dependent variables "FL" and "DX" which defines the forces. The study recommended to develop a comprehensive understanding of the structural behavior of the frame before attempting to model it and utilize advanced mathematical modelling techniques such as finite element analysis. And it is difficult to accurately predict the behavior of the structure due to the complexity of the structure and the number of variables involved. Additionally, the accuracy of the data used to create the model, which can be difficult to obtain. The R-squared was obtained as 86.21% and P-value is 0, which shows a good fit and significance of data obtained from the force-displacement Analysis.

Mathematical modelling, Force-displacement, Frame structure, Regression model, ProtaStructure.

"Mathematical modelling of Force-Displacement in High-rise frame structures", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.10, Issue 9, page no.f473-f480, September-2023, Available :http://www.jetir.org/papers/JETIR2309556.pdf

"Mathematical modelling of Force-Displacement in High-rise frame structures", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.10, Issue 9, page no. ppf473-f480, September-2023, Available at : http://www.jetir.org/papers/JETIR2309556.pdf