Abstract
Based on Timoshenko beam theory and Higher-order shear deformation beam theory respectively, a section model for the nonlinear analysis of reinforced concrete beam with both shear and transverse deformation considered is presented in this paper. To eliminate the cracks checking of concrete material, the constitutive model proposed by Stevens etc. is adopted. Simulations about pure bending tests and concentrated loading with different shear-span ratios tests have been made to validate the theoretical model proposed in this paper. The analytical results of the two theories are both in good agreement with experimental data and have also been compared with each other.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Guner, S., Vecchio, F.J.: Pushover Analysis of Shear-Critical Frames: Formulation. ACI Structural Journal 107, 63–71 (2010)
Mechab, I., Tounsi, A., Benatta, M.A., et al.: Deformation of short composite beam using refined theories. J. Math. Anal. Appl. 346, 479–486 (2008)
Reddy, J.N.: A simple higher order theory for laminated composite plate. ASNE J. Appl. Mech. 51, 745–752 (1984)
Stevens, N.J., Uzumeri, S.M., Collins, M.P., et al.: Constitutive model for reinforced concrete finite element analysis. ACI Structural Journal 88, 49–59 (1991)
Timoshenko, S.P.: On the correction for shear in differential equations for transverse viberation of prismatic bars. Philos. Mag. 641, 744–746 (1921)
Xie, Y.L., Li, S.K., Yan, D.D., et al.: The shear strength of concrete beams without stirrups under concentrated loads. In: Research Reports on Reinforced Concrete Structures. Tongji University (1981) (in Chinese)
Ye, Y.H., Diao, B.: Nonlinear Analysis of Concrete Structures. Harbin Institute of Technology Press (1996)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag GmbH Berlin Heidelberg
About this chapter
Cite this chapter
Zhang, Y., Diao, B. (2012). Comparison of Nonlinear Analysis of RC Cross-Section Based on Timoshenko with Higher-Order Shear Deformation Beam Theory. In: Qian, Z., Cao, L., Su, W., Wang, T., Yang, H. (eds) Recent Advances in Computer Science and Information Engineering. Lecture Notes in Electrical Engineering, vol 126. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25766-7_29
Download citation
DOI: https://doi.org/10.1007/978-3-642-25766-7_29
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25765-0
Online ISBN: 978-3-642-25766-7
eBook Packages: EngineeringEngineering (R0)