Tvorba aplikace pro výpočet statických a deformačních veličin spojitého nosníku s ocelovým tenkostěnným průřezem

Abstract

Bachelor’s thesis deals with the development of a computational application for determining static and deformation quantities of a continuous beam with a thin-walled steel cross-section. The application is implemented in the MATLAB environment and uses the three-moment method, also known as Clapeyron’s equation, for calculating internal forces. Based on various load combinations generated by the application, maximum bending moments and deflections are determined, and the cross-section is assessed in terms of ultimate and serviceability limit states. The application also provides graphical outputs of internal force and deformation distributions along the beam length. The thesis further includes an analysis of cold-formed thin-walled steel profiles. A specific type of profile is selected for which cross-sectional characteristics are determined in accordance with applicable standards. The resulting characteristics are compared with tabulated values provided by the manufacturer and are also used as input data for the computational application. The final part of the thesis presents illustrative examples processed using the developed application, with results compared to outputs from the commercial software Scia Engineer.