Abstract
The authors considered a simple method for constructing bend-torsion functionals by grid methods. Analysis of the diagrams of angular deformations and shear stresses made it possible to develop a new hypothesis of angular deformations. The consequences of the hypothesis were in the form of expressions from the analysis of diagrams. The authors also obtained functionals for determining angular deformations, bending and torque moments from the compressed area of concrete and reinforcement. The projection ratios helped to determine the shear and normal stresses through deformations using diagrams. The filling of the diagrams was in the form of expressions using functionals. The authors recorded expressions for determining the filling of the diagrams, as well as the total bending and torque moments.
Highlights
Experimental and theoretical studies in the field of torsion with bending are associated with the need to develop a design scheme and take into account a number of new effects of deformation of reinforced concrete with spatial cracks
A large theoretical and experimental basis for the development of the theory of bending with torsion is described in -publications [3,4,5,6], [7,8,9]
Determination of deformations and stresses in a complex stress-strain state in a rectangular section can be obtained from the Timoshenko-Goodyer theory of elasticity [24] using a membrane analogy
Summary
Experimental and theoretical studies in the field of torsion with bending are associated with the need to develop a design scheme and take into account a number of new effects of deformation of reinforced concrete with spatial cracks. Some of the earliest research in the field of torsion with bending were presented in [1,2]. A large theoretical and experimental basis for the development of the theory of bending with torsion is described in -publications [3,4,5,6], [7,8,9]. Rectangular cross-sections are one of the most applicable, the research of this type of cross-section is most important [10,11,12,13]. The complex stress state has not yet been sufficiently considered in scientific publications [14,15,16,17,18,19,20,21,22,23]
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