Stress Intensity Factor of Reinforced Concrete Beams in Bending

Buildings

Nikolai Ivanovich Vatin¹  Daniyar Tokanovich Tokanov²  Zhmagul Smagulovich Nuguzhinov²  Omirkhan Khabidolda³  Madi Zhetpisbaevich Bakirov⁴  Irina Alekseevna Kurokhtina⁴  Zhetpisbay Bakirovich Bakirov⁴ 

[1] Institute of Civil Engineering, Peter the Great Saint Petersburg Polytechnic University, 195251 Saint Petersburg, Russia;Kazakhstan Multidisciplinary Institute of Reconstruction and Development Republican State Enterprise on the Right of Economic Use, Karaganda 100027, Kazakhstan;Mechanics Department, Al Farabi Kazakh National University, Almaty 050040, Kazakhstan;Mechanics Department, Building Materials and Technologies Department, Karaganda Technical University, Karaganda 100027, Kazakhstan;

关键词: reinforced concrete;    beam;    bending;    compressive side;    crack;    reinforcement;   

DOI  :  10.3390/buildings11070287

来源: DOAJ

【 摘 要 】

The stress values at the crack tip in bending reinforced concrete beams are considered. The stress state is analytically determined with an initial and propagating crack. Equations of the equilibrium of a part of the beam cut along the crack line are compiled. These equations are reduced to a system of two nonlinear algebraic equations using the plane-sections hypothesis. The equations determine the stress zone’s height and the nominal stress at the crack tip for a beam with an initial crack and the crack length. The rest of the stress state parameters are expressed regarding the zone stress height and the nominal stress or crack length. The same equation system determines the external moment starting from which the crack length increases. The analytical method for determining the stress intensity factor (SIF) with an initial and growing crack in bent reinforced concrete beams is proposed. The method is based on the assumption that the size of the stress concentration zone at the crack tip is determined by the equality of the nominal and local stresses at the end of this zone. The method determines the value of the external moment starting from which the crack length increases. The stress zone’s size is determined by the coincidence of the local stress with the nominal stress. The same problem is solved in a three-dimensional formulation by the FE method, considering the stress field’s peculiarities at the crack tip. The calculation results coincide with the analytical solutions.

【 授权许可】

Unknown