The design of concrete elements strength under local compression based on the variational method in the plasticity theory

Abstract

Abstract. The two-dimensional concrete elements under the action of one-sided central crushing often occurs. For them, the strength problems are solved on the basis of the concrete ideal plasticity theory variational method with application of discontinuous velocities functions. The method takes into account the influence on concrete elements strength the compressive strength and tensile strength of concrete. It also takes the ratio of a sample height to the crushing platform length and friction coefficient between a surface of element and a load punch if it′s necessary. The results of experimental researches were confirmed the assumed in the theoretical solution the kinematical schemes of elements failure. Higher convergence of theoretical strength with tested is received. The calculation sequence of the concrete element under one-sided central crushing is described. The joint calculation of all factors that determine the strength opens the possibility of more accurate assessment and improvement on its basis of structural solutions of concrete elements under the local compressive load.

To the Question of the Technical Condition Evaluation of Bending Reinforced Concrete Constructions

“…Передумови її використання до бетону наведені в [16,17]. Для визначення величини граничного навантаження при зрізі використовується варіаційний метод у теорії пластичності [18,19] та верхня оцінка граничного рівня навантаження, який відповідає мінімуму потужності пластичної деформації. Результати розрахунку міцності бетонних та залізобетонних елементів підтверджені експериментально [20][21][22].…”

Improved calculation method of reinforced concrete elements strength on inclined sections

“…Shear form of destruction is characterized for concrete and reinforced concrete elements by action of the shear forces [16,17]. It is also implemented within an inclined strip and a compressed zone over a dangerous inclined crack [18,19].…”

Use of Extreme Properties of Deformation for Estimation of Strength of Constructive Concrete and Reinforced Concrete

“…The scheme of a rigid-plastic body is used. The prerequisites for applying the theory of plasticity are represented in [17][18][19][20]. The solution is based on the principle of virtual velocities, whose functional in the absence of inertial and mass forces is Both characteristics of concrete strength are taken into account, in contrast to the dependence of the method [5,6].…”