, Volume 45, Issue 4, pp 463–474 | Cite as

A numerical model for static and free vibration analysis of elastic composite beams with end shear restraint

  • Ahmed M. Ellakany
  • Hussein A. Tablia


The end shear restraint, which is an un-classical type of end support, has a significant effect on the behavior of elastic composite beams. The principal aim of this paper is to present a numerical model for studying the effect of end shear restraint on static and free vibration behavior of elastic composite beams with various end conditions. The elastic composite beam, considered in this study, is composed of an upper concrete slab and a lower steel beam, connected at the interface by shear transmitting studs. This type of beam is widely used in constructions especially for highway bridges. The three types of end conditions considered in this study are simple, fixed and free supports. The numerical model is based on the combination of transfer matrix and analog beam methods. The field transfer matrices for the element of the elastic composite beam are derived. The present model is applied to the beam systems with and without end shear restraint and the static response and natural frequencies are calculated. the effect of shear stiffness between the upper slab and lower beam is also demonstrated.

Numerical model Transfer matrix-analog beam method Elastic composite beams Static and free vibration analysis End shear restraint 


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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Dept. of Engineering Mathematics and Physics, Faculty of EngineeringAlexandria UniversityAlexandriaEgypt

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