A numerical model for static and free vibration analysis of elastic composite beams with end shear restraint
- 132 Downloads
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.
Unable to display preview. Download preview PDF.
- 2.Ranzi G, Bradford MA, Uy B (2003) A general method of analysis of composite beams with partial interaction. Steel Compos Struct 3(3):169–184 Google Scholar
- 9.Pestel EC, Leckie FA (1963) Matrix method in elastomechanics. McGraw-Hill, New York Google Scholar
- 13.Ellakany AM (2001) Static analysis of non-uniform elastic composite beams. Pakistan J Appl Sci 1(4):466–471 Google Scholar
- 14.Ellakany AM, Elawadly Kh, Ellakany Ah (2001) Transfer matrix—analog beam method to calculate natural frequencies of elastic composite beams. In: Proceeding of the seventh international conference on computer aided optimum design of structures, Bologna, Italy, pp 259–268 Google Scholar