Shape determining of a loaded cable via total displacements
Abstract Cable structures are very efficient (in economic aspect) when applied to cover large spans. The cable structure consists of a single cable or a network of cables. The cable attractive feature is the highest ratio of strength to weight amongst other carrying structural elements, usually applied in engineering practice. But a cable is a specific structural element able to response only one type of deforming ‐ tension (flexural rigidity actually vanishes). Therefore, when loaded a cable shapes the form to resist tension only. This adaptation is followed by large nonlinear displacements. Thus, the nature of geometrical nonlinear cable behavior is quitie a different from that of rigid structural elements. Both elements response via small deformations when loaded, but large displacements of a cable are conditioned by its adaptation to loading, and those of rigid structural elements ‐ by actual deformations. One can also note that deformations of a cable are significantly less than those of rigid struct...
THE APPLICATION OF THE FINITE ELEMENT METHOD FOR STATIC BEHAVIOUR ANALYSIS OF THE ASYMMETRICAL ONE-PYLON SUSPENSION BRIDGE BUILT-IN BENDING CABLES OF DIFFERENT RIGIDITY
The article presents the results of the numerical analysis of the asymmetrical one-pylon suspension bridge built-in rigid cables. The models for the suspension bridge with the cables of different rigidity are analyzed by comparing vertical displacements, bending moments and strains in the structural members of the bridge. The numerical analysis was performed by examining the bridge under symmetrical and asymmetrical loading and different erection methods. The stress-strain state of a single asymmetrical pylon with the cables of different rigidity and the rational relationship between cable rigidity and girder stiffness has been established.
STIFFNESS ANALYSIS OF SUSPENSION BRIDGES BY ITERATION
THE STIFFNESS METHOD IS APPLIED TO THE NON-LINEAR ANALYSIS OF SUSPENSION BRIDGES BY MEANS OF SUCCESSIVE ITERATION. THE INTERNAL BAR FORCES ARE EVALUATED ON THE DEFORMED SHAPE OF EACH MEMBER AND THEN THE EQUILIBRIUM IS TESTED AT EVERY JOINT BETWEEN THE INTERNAL AND EXTERNAL LOADS. IF THE JOINT IS NOT IN EQUILIBRIUM, THE UNBALANCED FORCES ARE TAKEN AS THE NEW JOINT LOADS AND THE LINEAR STIFFNESS ANALYSIS IS REPEATED AS MANY TIMES AS NECESSARY, UNTIL THESE UNBALANCED JOINT LOADS DISAPPEAR. A SMALL NUMBER OF CYCLES IS SUFFICIENT TO OBTAIN THE EXACT RESULTS. /RRL/A/