Nonlinear analysis of RC beams considering shear effect

作者：Pang Miao^*; Lou Tie Jiong; Xiang Yi Qiang

来源：Chinese Journal of Computational Mechanics, 2008, 25(2): 273-277.

• Material nonlinear analysis
• Moment curvature relationship
• Reinforced concrete beam
• Timoshenko beam flexural theory

To improve the computational efficiency and accuracy of reinforced concrete RC beams, a macroscopic finite element method based on the moment-curvature relationship of beam section was presented, which is capable of performing the material nonlinear analysis of RC beams with various span-depth ratios. Nonlinear stress-strain relationships for concrete and steel were assumed firstly, and then a section analysis model suggested by Rodriguez was revised and introduced, in which the cross section was divided into several trapezoids according to boundary vertices. The quasi-Newton algorithm was used to solve the nonlinear equilibrium equations coupled with two variables. Thereby, the moment-curvature relationship of RC section was established. On this basis, Timoshenko beam flexural theory was utilized to develop the finite element analysis model for RC beams considering the effect of transverse shear deformation. Two beam specimens were analyzed using the proposed analysis method, and the reliability and validity of the proposed model is verified by comparing the analytical predictions with the experimental results.

• 出版日期2008
• 单位浙江大学