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...
An Introduction to Cable Roof Structures
This introduction to cable roof structures contains all the information essential to the design and construction of such a roof. The author surveys structural systems and deals with methods of static and dynamic analysis, methods for generating wind and earthquake loading for nonlinear structures, and for calculating the resistance of tension anchors. In addition Professor Buchholdt explains simple hand methods for preliminary dimensioning and gives tables of deflections and forces in non-dimensional form for various types of cable beams and for some typical forms of cable net roofs. He concludes with a summary of his own experience in relation to the design of these types of structures and considers the importance of early cooperation between architects, consulting engineers and contractors. Although this book is written for designers and students of cable roof structures, the numerical techniques and methods presented are equally applicable to other forms of structures, such as suspension bridges, cable stayed bridges, guyed masts and other forms of nonlinear skeletal stuctures.
STATIC ANALYSIS OF SUSPENSION BRIDGES
With the advent of digital computers it has become possible to analyze suspension bridges taking account of hangers as individual members. As the behavior is nonlinear satisfactory convergence is most likely to be obtained in the solution of the governing equations if a Newton-Raphson method is used for correcting the basic variables. Compatibility and equilibrium methods are developed which produce symmetric equations to be solved at each iteration. By suitable choice and ordering of the variables these equations can be made to fit well into a variable bandwidth store thus producing an efficient form of computer solution. The most efficient of these methods is the compatibility method in which the horizontal component of hanger force is ignored. In cases where the stiffening girder is a Warren truss the compatibility method also shows advantage, but in other cases the equilibrium method is likely to be preferred because the equations are more easily constructed.