Bearing capacity calculation of reinforced concrete corbels under the shear action

Abstract

The necessity of creating a general methodology for concrete and reinforced concrete elements strength calculation under the shear is established. Three failure cases of reinforced concrete corbels under the shear are considered. The solutions of problems of corbels strength with failure along the whole section, close to the normal, in the compressed zone under an inclined crack and within the compressed inclined strip are given. A variational method in the plasticity theory, the virtual velocities principle and the characteristic lines method are used for concrete and reinforced concrete elements calculations. In the ultimate state, concrete is considered as a rigid-plastic body. The shear is realized in case when the plastic deformation is localized in the compressed zone. The calculating ultimate load results for different failure cases are given. Such a design scheme is implemented, in which the console strength is minimal. This corresponds to the minimum of power of plastic deformation in concrete compressed zone. Reinforced concrete corbels calculation engineering methods are offered. The elements obtaining effective constructive decisions direction based on the plasticity theory use is determined.

Research on the Safety Assessment of Corbel Beams of Reservoir Radial Gates Based on Real States

“…Wang Weidong et al [7] used the SAP84 program with 8-node uncoordinated units to calculate the internal forces and bending moments of the corbel beam and the overall structure of the gate pier; Zhang Fude et al [8] used the HARMA three-dimensional structural analysis program to calculate the large differences in stress distribution inside the corbel beam and the corbel; Liu Wei et al [9] used the method of structural mechanics to simplify the structural design of the corbel of radial gates; Yan Danqing et al [10] used theoretical mechanics to analyze and calculate the structure of the corbel beam; He Zhi-Qi [11] et al proposed a direct equation to quantify the load transfer law by studying the load transfer mechanism in deep beams and corbels; Dawood [12] et al employed the shear friction method (SF) and strut and tie modeling (STM) to compare and analyze the effects of parameters such as a/d, width (b), compressive strength of concrete (f'c), yield strength of reinforcement (fy), and horizontal to vertical load ratio (H/V) on the shear capacity of a concrete cantilever beam. Dovzhenko [13] et al analyzed three damage cases and the ultimate load calculation of concrete cantilever beams in shear; Abdul-Razzaq K S [14] et al used the shear friction (SF) method and strut and tie modeling (STM) to compare and calculate the ultimate load capacity of concrete cantilever beams with different shear span to effective depth ratios (a/d) for the ultimate load carrying capacity.…”

Contribuição ao projeto de consolos de concreto com base em simulações numéricas

“…Na literatura técnica, existem ainda os modelos com abordagem empírica, como os de Kriz e Raths (1965), e modelos mais complexos baseados na teoria da plasticidade, onde é considerada a não linearidade física do material, como em Naegeli (1997) e Dovzhenko et al (2018), e a compatibilidade de deformações, como em Kassem (2015), que não serão abordados neste trabalho. O modelo de bielas e tirantes consiste em idealizar uma treliça com barras comprimidas ou tracionadas a partir da análise linear de tensões na peça a ser dimensionada.…”