Definition level distance between cracks in reinforced concrete structures

A calculation model for determining level distance between cracks in reinforced concrete structures. The model is based on the generalization of the known in the F.G. Thomas hypothesis known in the theory of cracks in reinforced concrete and its generalization by V.I. Kolchunov in relation to the improved theory of deformation of reinforced concrete with cracks. The essence of the proposed generalization is that the stress state in concrete and reinforcement in the vicinity of the crack and in the area between the cracks is determined taking into account the deformation effect, which consists in the fact that at brittle fracture of the stretched concrete matrix the deformation of the crack banks is restrained by the reaction of the reinforcement bar, and the crack profile is nonlinearly curved. As a result, the relative mutual displacements of concrete and reinforcement and the level distance between cracks are determined by integrating the distribution diagrams of concrete and reinforcement strains at different locations in the block by two adjacent cracks.

Using the obtained analytical relationships for the calculation of the level distance between cracks, numerical investigations are carried out to determine the distance between cracks and the crack opening width. The obtained results are compared with the available test results of reinforced concrete structures, as well as with the results of calculation according to the methods of Russian and foreign standards. It is shown that the calculation dependences of the proposed model fully reflect the qualitative picture of the multilevel crack formation process obtained experimentally, when at discrete decrease of the crack spacing inversely proportional to the change of bending moments there is an increase in the crack opening width.

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