This paper presents a comparative study of available displacement-based modelling techniques for the analysis of steel-concrete composite beams with partial shear interaction, which include the finite difference method, the finite element method, the direct stiffness method and the exact analytical model. Both shortand long-term analyses have been considered in order to provide an indication of how these affect the accuracy of the predictions. For the implementation of the finite difference method and of the finite element method, discretisations in both space and time domains are required, while only the time discretisation needs to be specified for the direct stiffness method and the exact analytical solutions. The time-dependent behaviour of the concrete has been modelled by means of the age-adjusted effective modulus method (AEMM) while the remaining materials at the cross-section have been assumed to behave in a linear-elastic manner. The results obtained using these formulations are qualitatively compared and their accuracy is estimated adopting the exact analytical model as a benchmark reference with the objective of establishing the minimum spatial discretisations required to keep the error within an acceptable tolerance. These comparisons are carried out for simply-supported beams, propped cantilevers and fixed-ended beams, from which the behaviour of these formulations in the modelling of continuous beams can also be deduced.
Displacement-based formulations for the partial interaction analysis of composite beams accounting for time effects
LEONI, Graziano
2006-01-01
Abstract
This paper presents a comparative study of available displacement-based modelling techniques for the analysis of steel-concrete composite beams with partial shear interaction, which include the finite difference method, the finite element method, the direct stiffness method and the exact analytical model. Both shortand long-term analyses have been considered in order to provide an indication of how these affect the accuracy of the predictions. For the implementation of the finite difference method and of the finite element method, discretisations in both space and time domains are required, while only the time discretisation needs to be specified for the direct stiffness method and the exact analytical solutions. The time-dependent behaviour of the concrete has been modelled by means of the age-adjusted effective modulus method (AEMM) while the remaining materials at the cross-section have been assumed to behave in a linear-elastic manner. The results obtained using these formulations are qualitatively compared and their accuracy is estimated adopting the exact analytical model as a benchmark reference with the objective of establishing the minimum spatial discretisations required to keep the error within an acceptable tolerance. These comparisons are carried out for simply-supported beams, propped cantilevers and fixed-ended beams, from which the behaviour of these formulations in the modelling of continuous beams can also be deduced.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.