A Proactive Study on Stress Ribbon and Cable Supported Pedestrian Bridges
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International Journal of Scientific Research and Review ISSN NO: 2279-543X A PROACTIVE STUDY ON STRESS RIBBON AND CABLE SUPPORTED PEDESTRIAN BRIDGES J. NAVYA1, K. SOWJANYA2 1PG Student, Dept. of Civil (structural engineering and Construction Management), Golden Valley Integrated Campus, Madanapalli, Chittoor, Andhra Pradesh, India. 2Assistant professor, Dept. of civil engineering, Golden Valley Integrated Campus, Madanapalli, Chittoor, Andhra Pradesh, India ABSTRACT: Stress-ribbon and Cable supported Bridge allow the grade to be changed between spans is the term describes the structures formed by (where multiple spans are used). Such bridges are directly walked prestressed concrete deck with the typically made from concrete reinforced by steel shape of a catenary . The bearing structure consists tensioning cables. Where such bridges carry of slightly sagging tensioned cables, bedded in a vehicle traffic a certain degree of stiffness is concrete slab that is very thin compared with the required to prevent span. A stressed ribbon bridge (also known as excessive flexure of the structure, obtained by stress-ribbon bridge or catenary bridge) is primarily stressing the concrete in compression. a structure under tension .A stress ribbon bridge is Stress Ribbon Bridges Philosophers, a tension structure, similar in many ways to a thinkers, intellectuals all appeal, please build simple suspension bridge. The stress ribbon design bridges and not walls between different is rare. Few people including bridge engineers are communities, nationalities, countries, languages familiar with this form and fewer than 50 have etc, to achieve universal brotherhood. This can be been built worldwide. The suspension cables are achieved by constructing stress ribbon bridges. embedded in the deck which follows a catenary arc Stress ribbon bridges are very economical, between supports. Unlike the simple span the aesthetic and almost maintenance free structure. ribbon is stressed in compression which adds to the They require minimal quantity of materials. They stiffness of the structure. Such bridges are typically are erected independently from the existing terrain made from concrete reinforced by steel tensioning and therefore they have minimum impact upon the cables. They are used mainly for pedestrian and environment during construction. cycling traffic. Stress ribbon bridges are very Stress ribbon bridge is the term used to economical, aesthetic and almost maintenance free describe structures formed by a very slender structure. They require minimal quantity of concrete deck in the shape of a catenary. They can materials. At present studies, on combining stress be designed with one or more spans and are ribbon bridges with cables or arches, to build most characterized by successive and complementary economical stress ribbon bridges. It makes the smooth curves. These curves blend in to natural study of features of these particular bridges as an environment and their forms, the most simple and important one. The tension cables form the part of basic of structural solutions. The stress ribbon the deck which follows an inverted catenary bridge can be erected without undue pressure on between supports. The ribbon is stressed such that the environment. it is in compression, thereby increasing the rigidity Stress ribbon bridges looks at how slender of the structure where as a suspension spans tend to concrete deck are used in the design of suspension sway and bounce. Such bridges are typically made and cable stayed structures. It looks at their RCC structures with tension cables to support characteristic feature; their rigidity, which is them. Such bridges are generally not designed for mainly given by the tension stiffness of prestressed vehicular traffic but where it is essential, additional concrete decking so much so that movement caused rigidity is essential to avoid the failure of the by pedestrians or wind does not register as structure in bending. discomfort by users. As opposed to suspension bridges, where the cables carry the load, in stress 1. INTRODUCTION ribbon, by tensioning the cables and the deck A stressed ribbon bridge (also stress- between the abutments, the deck shares the axial ribbon Bridge) is a tension structure (similar in tension forces. Anchorage forces are unusually many ways to a simple suspension bridge). The large since the structure is tightly tensioned. suspension cables are embedded in the deck which Pedestrian bridges (or footbridges as they are called follows a catenary arc between supports. Unlike the in many parts of the world) have been used by man simple span the ribbon is stressed in compression, since antiquity to cross rivers, deep gorges and which adds to the stiffness of the structure (simple narrow mountain passes. One commonly used suspension spans tend to sway and bounce). The method has been to suspend a walkway from a supports in turn support upward thrusting arcs that Volume 8, Issue 1, 2019 Page No: 1197 International Journal of Scientific Research and Review ISSN NO: 2279-543X fibre rope catenary span somewhat similar to a occur only at the mid-span section and only in the primitive suspension bridge. top and bottom fibers. The beam has a significant The stress ribbon concept borrows the amount of dead mass that does not contribute at all suspension bridge principle but develops it further to resisting the external loads. From the figure it is by using high strength materials and modern clear that if we want to reduce the weight of the engineering technology especially precasting and beam we have to eliminate as much dead mass as prestressing methods. possible and utilize the tension or compression Stress-ribbon is the term that has been capacities of the structural members. From the coined to describe structures formed by directly beam we can derive a suspension cable or an arch walked prestressed concrete deck with the shape of in which the horizontal force is resisted by an a catenary. The bearing structure consists of internal strut or tie – see Fig.2.1b; in the case slightly sagging tensioned cables, bedded in a where the foundations are capable of resisting concrete slab that is very thin compared with the horizontal forces, we can substitute the strut or the span. This slab serves as a deck, but apart from the tie by stiff footings – see Fig.2.1c. distributing the load locally and preserving the continuity, it has no other function. It is a kind of suspension structure where the cables are tensioned so tightly that the traffic can be placed directly on the concrete slab embedding the cables. Compared with other structural types the structure is extremely simple. On the other hand, the force in the cables is very large making the anchoring of the cable expensive is seen that stress ribbon b ridge is used in European countries for people to walk which reduces the traffic intensity on crowded roads. So in developing countries like India stress Fig.2.1 – Cable and arch structure ribbon bridge can be a solution to traffic reduction in crowded area like Mumbai, Delhi, Bangalore A uniformly loaded concrete arch can span several and many more. kilometers and a suspension cable can span even Stress-ribbon bridge is the term that has more. But their shape has to be funicular to the been coined to describe structures formed by given load and the structures need to have an directly walked prestressed concrete deck with the economic rise or sag. The layout of pedestrian shape of a catenary . The bearing structure bridges is influenced by two requirements. In cable consists of slightly sagging tensioned cables, supported structures, where the deck follows the bedded in a concrete slab that is very thin shape of the cables, only limited slope with compared with the span. This slab serves as a deck, corresponding sag can be accepted. Furthermore, but apart from the distributing the load locally and these bridges need to have sufficient stiffness that preserving the continuity, it has no other function. guarantees comfortable walking and the stability of It is a kind of suspension structure where the cables the shape. It is therefore necessary to stiffen them. are tensioned so tightly that the traffic can be placed directly on the concrete slab embedding the 3.CABLE ANALYSIS cables. Compared with other structural types the Analysis of the stress ribbon and cable structure is extremely simple. On the other hand, supported structures is based on an understanding the force in the cables is very large making the of the static and dynamic behaviour of a single anchoring of the cable expensive.In the case of cable. precast structures, the deck is assembled from precast segments that are suspended on bearing In analysis we suppose that a cable of cables and shifted along them to their final area A and modulus of elasticity E acts as a position. Prestressing is applied after casting the perfectly flexible member that is able to resist the joints between the segments to ensure sufficient normal force only. Under this assumption the rigidity of the structures.. cable curve will coincide with the funicular curve of the load applied to the cable and to the chosen 2. STRUCTURAL SYSTEMS value of the horizontal force H. The beauty of the suspension and arch The cable that for the load q(x) is structures comes from their economic structural 0 stressed by a horizontal force H is for the load shape. Their economy is evident from Fig.2.1a that 0 q(x) stressed by a horizontal force H . This force shows the trajectories of principal stresses in a i i can be easily determined by solving of a cubic uniformly loaded simply supported beam. From equitation: the figure it is evident that the maximum stresses Volume 8, Issue 1, 2019 Page No: 1198 International Journal of Scientific Research and Review ISSN NO: 2279-543X where Lni is a nontension length of the cable, k is an elastic deformation of the cable in anchor blocks and Fig.: Bending of the single cable In flexibly supported cables the members a, b, c, d depend on the span li and vertical difference hi which again depend on horizontal force Hi, it is not possible to determine the unknown Hi directly by solving of the equation.