Geometric hypothesis in crack direction field problem
Abstract
Geometric hypothesis in crack direction field problem
Incoming article date: 12.08.2025The influence of the geometric hypothesis on the field of crack directions in the calculation of structures based on inclined sections is considered. The angle of inclination of the crack to the vertical is determined from the condition of the minimum external load necessary for its formation and determined in turn from the equation of the energy balance. The influence of coefficient A of the bilinear cross-section hypothesis on the angle of crack inclination is estimated for cases of uniformly distributed load and concentrated force. Based on the calculation results, it is concluded that the influence of the geometric hypothesis is insignificant in the case of a uniformly distributed load, and in the case of a concentrated force, its influence is most significant in the middle part of the slice span when the ratio of the slice span to the section height is greater than 2. Based on the results of numerical calculations of models of hinged beams, the dependence of coefficient A on the relative coordinate of the crack origin for different intensity of transverse reinforcement is obtained.
Keywords: inclined sections, geometric hypothesis, field of crack directions, energy balance equation