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...
Deflection theory analysis of different cable profiles for suspension bridges
Abstract Modifications are developed which allow deflection theory to be used to analyse the structural behaviour of suspension bridges in which the deck is supported by two or more cables having different profiles. Static deflections due to concentrated and distributed loads are considered. It is ascertained that increased stiffness can be obtained by using such configurations.
THEORETICAL ANALYSIS OF SUSPENSION BRIDGES
THE ANALYSIS OF SUSPENSION BRIDGES IS A TYPICAL PROBLEM OF STRUCTURAL FRAMES THAT ARE ASSOCIATED WITH LARGE DEFLECTIONS THAT PLAY AN IMPORTANT PART IN THE BEHAVIOR OF THE FRAME. THEORETICAL AND PRACTICAL TREATISES ON SUSPENSION BRIDGES WERE DEVELOPED BY MANY AUTHORS. THEIR ATTEMPT TO IDEALIZE THE PROBLEM AND MAKE IT SUITABLE FOR HAND CALCULATIONS HAS EXPOSED THESE SOLUTIONS TO CRITICISM. A SYSTEMATIC METHOD IS INTRODUCED FOR THE ANALYSIS OF SUSPENSION BRIDGES BASED ON THE FINITE DEFLECTION THEORY AND THE N-DIMENSIONAL GENERALIZATION OF THE NEWTON-RAPHSON PROCESS FOR SOLVING THE SIMULTANEOUS NON-LINEAR EQUATIONS. THE BASIC ASSUMPTIONS ARE REPORTED AND THE APPLICATION OF THE NEWTON-RAPHSON PROCESS IS EXAMINED. A DERIVATION IS GIVEN FOR THE TANGENT STIFFNESS MATRIX OF A STRUCTURAL FRAME AT A STATE OF DEFORMATION. THE ANALYSIS FOR TWO PROBLEMS, A CABLE AND A TRUSSED GIRDER, IS GIVEN TO INTRODUCE THE APPLICATION OF THE NEW APPROACH. THE CONCEPT OF THE TANGENT STIFFNESS MATRIX IS A NEW TECHNIQUE FOR RAPID CONVERGENCE OF THE ANALYSIS. THE METHOD IS GENERAL AND OF PARTICULAR INTEREST FOR THE ANALYSIS OF SUSPENSION BRIDGES UNDER CONSTRUCTION CONDITIONS. IT IS ALSO SUITABLE FOR ELECTRONIC COMPUTERS. /AUTHOR/