Belirsiz betonarme kirişlerin eğme analizinin iyileştirilmesi ve modellenmesi

The modeling of the indeterminate beams analysis under concentrated and uniform loading was the aim of the study. The study defined the geometrical and loading conditions for each case then built its analysis pathway by using the method of slope deflection. The analysis steps including the fixed end moments and the other parameters like the length of beam spans and the magnitude of loading and the cases of joint. the study links all these parameters into equation then derived effective equations based on the relationships and the degree of impact between each parameter and the moment at the second joint which used to be the initial identifies internal moment that ca ease the reach to the other internal moment and the shear forces as well as the joint reactions. The study made number of correlation and checking stages during the scientific path to make the resultant equation be more effective and applicable. The equation obtained considered for two main cases: the first case was the beam with three spans under concentrated load in which load for each span. The second equation was for the case that three spans indeterminate beam under uniform loading. The value of moment reached were examined for both the calculated and the derived state. The difference was so small indicating the closing of the deriving model to the original steps of calculation. The simulation for the cases was done by using ANSYS program which the geometrical shape and loading condition were drawn then analysed under the finite element technique. the magnitude of the moment reached by ANSYS was so satisfied that derived in which the simulation shows visual images for the internal force variation along the spans including the state of directional deformation, the bending moments, and the shear forces. The shear force and bending moment diagram were explained also by ANSYS program.