Nonlinear seismic behaviour of concrete arch bridges

Arch bridge structural solution has been known for centuries, in fact the simple nature of arch that require low tension and shear strength was an advantage as the simple materials like stone and brick were the only option back in ancient centuries. By the pass of time especially after industrial revolution, the new materials were adopted in construction of arch bridges to reach longer spans. Nowadays one long span arch bridge is made of steel, concrete or combination of these two as "CFST", as the result of using these high strength materials, very long spans can be achieved. The current record for longest arch belongs to Chaotianmen bridge over Yangtze river in China with 552 meters span made of steel and the longest reinforced concrete type is Wanxian bridge which also cross the Yangtze river through a 420 meters span. Today the designer is no longer limited by span length as long as arch bridge is the most applicable solution among other approaches, i.e. cable stayed and suspended bridges are more reasonable if very long span is desired. Like any super structure, the economical and architectural aspects in construction of a bridge is extremely important, in other words, as a narrower bridge has better appearance, it also require smaller volume of material which make the design more economical. Design of such bridge, beside the high strength materials, requires precise structural analysis approaches capable of integrating the combination of material behaviour and complex geometry of structure and various types of loads which may be applied to bridge during its service life. Depend on the design strategy, analysis may only evaluates the linear elastic behaviour of structure or consider the nonlinear properties as well. Although most of structures in the past were designed to act in their elastic range, the rapid increase in computational capacity allow us to consider different sources of nonlinearities in order to achieve a more realistic evaluations where the dynamic behaviour of bridge is important especially in seismic zones where large movements may occur or structure experience P - _ effect during the earthquake. The above mentioned type of analysis is computationally expensive and very time consuming. In recent years, several methods were proposed in order to resolve this problem. Discussion of recent developments on these methods and their application on long span concrete arch bridges is the main goal of this research. Accordingly available long span concrete arch bridges have been studied to gather the critical information about their geometrical aspects and properties of their materials. Based on concluded information, several concrete arch bridges were designed for further studies. The main span of these bridges range from 100 to 400 meters. The Structural analysis methods implemented in in this study are as following: Elastic Analysis: Direct Response History Analysis (DRHA): This method solves the direct equation of motion over time history of applied acceleration or imposed load in linear elastic range. Modal Response History Analysis (MRHA): Similar to DRHA, this method is also based on time history, but the equation of motion is simplified to single degree of freedom system and calculates the response of each mode independently. Performing this analysis require less time than DRHA. Modal Response Spectrum Analysis (MRSA): As it is obvious from its name, this method calculates the peak response of structure for each mode and combine them using modal combination rules based on the introduced spectra of ground motion. This method is expected to be fastest among Elastic analysis. Inelastic Analysis: Nonlinear Response History Analysis (NL-RHA): The most accurate strategy to address significant nonlinearities in structural dynamics is undoubtedly the nonlinear response history analysis which is similar to DRHA but extended to inelastic range by updating the stiffness matrix for every iteration. This onerous task, clearly increase the computational cost especially for unsymmetrical buildings that requires to be analyzed in a full 3D model for taking the torsional effects in to consideration. Modal Pushover Analysis (MPA): The Modal Pushover Analysis is basically the MRHA but extended to inelastic stage. After all, the MRHA cannot solve the system of dynamics because the resisting force fs(u; u_ ) is unknown for inelastic stage. The solution of MPA for this obstacle is using the previously recorded fs to evaluate system of dynamics. Extended Modal Pushover Analysis (EMPA): Expanded Modal pushover is a one of very recent proposed methods which evaluates response of structure under multi-directional excitation using the modal pushover analysis strategy. In one specific mode,the original pushover neglect the contribution of the directions different than characteristic one, this is reasonable in regular symmetric building but a structure with complex shape like long span arch bridges may go through strong modal coupling. This method intend to consider modal coupling while it take same time of computation as MPA. Coupled Nonlinear Static Pushover Analysis (CNSP): The EMPA includes the contribution of non-characteristic direction to the formal MPA procedure. However the static pushovers in EMPA are performed individually for every mode, accordingly the resulted values from different modes can be combined but this is only valid in elastic phase; as soon as any element in structure starts yielding the neutral axis of that section is no longer fixed for both response during the earthquake, meaning the longitudinal deflection unavoidably affect the transverse one or vice versa. To overcome this drawback, the CNSP suggests executing pushover analysis for governing modes of each direction at the same time. This strategy is estimated to be more accurate than MPA and EMPA, moreover the calculation time is reduced because only one pushover analysis is required. Regardless of the strategy, the accuracy of structural analysis is highly dependent on modelling and numerical integration approaches used in evaluation of each method. Therefore the widely used Finite Element Method is implemented in process of all analysis performed in this research. In order to address the study, chapter 2, starts with gathered information about constructed long span arch bridges, this chapter continuous with geometrical and material definition of new models. Chapter 3 provides the detailed information about structural analysis strategies; furthermore the step by step description of procedure of all methods is available in Appendix A. The document ends with the description of results and conclusion of chapter 4.

Behaviour of FRP confined concrete in square columns

A significant amount of research has been conducted on FRP-confined circular columns, but much less is known about rectangular/square columns in which the effectiveness of confinement is much reduced. This paper presents the results of experimental investigations on low strength square concrete columns confined with FRP. Axial compression tests were performed on ten intermediate size columns. The tests results indicate that FRP composites can significantly improve the bearing capacity and ductility of square section reinforced concrete columns with rounded corners. The strength enhancement ratio is greater the lower the concrete strength and also increases with the stiffness of the jacket. The confined concrete behaviour was predicted according to the more accepted theoretical models and compared with experimental results. There are two key parameters which critically influence the fitting of the models: the strain efficiency factor and the effect of confinement in non-circular sections.

Los cerramientos verticales de Jean Prouvé variables de intercambio con el exterior

A finales del siglo XIX y principios del XX, la aparición de nuevos materiales, como el acero y el hormigón armado, y la experimentación en procedimientos industriales provocan un cambio en el concepto de cerramiento y en la forma de construir. La fachada se libera y se independiza de la estructura principal, y el nuevo cerramiento debe responder a los principios arquitectónicos y constructivos de este momento. Se busca, por tanto, un cerramiento nuevo. Un cerramiento ligero, de poco peso, de poco espesor, autoportante, multicapa, montado en seco, de grandes dimensiones y que cumpla las exigencias de todo cerramiento. Se puede afirmar que, hasta que Jean Prouvé experimenta con distintos materiales y sistemas de fabricación, la técnica de los cerramientos ligeros no se desarrolla por completo. En sus trabajos se pueden encontrar aplicaciones de los nuevos materiales y nuevas técnicas, e investigaciones sobre prefabricación ligera en acero y aluminio, en un intento de aplicar la producción industrial y en serie a la construcción. Esta Tesis realiza un análisis en profundidad, tanto gráfico como escrito, de los cerramientos verticales desarrollados por Jean Prouvé, sin tratarlos como objetos aislados, entendiendo que forman parte de una obra arquitectónica concreta y completa. Dicho análisis sirve para clasificarlos según las funciones esenciales que debe garantizar un cerramiento: aislar, iluminar, ventilar y proteger, y para comprender cuáles son las claves, los recursos e intenciones, utilizadas por el autor para conseguir este propósito. El resultado de la investigación se plasma de dos formas diferentes. En la primera, se realizan reflexiones críticas para extraer los temas importantes de los elementos analizados, lo que posibilita el acercamiento a otros arquitectos y ampliar el campo de visión. En la segunda, de tipo gráfico, se elabora un atlas de los distintos tipos de cerramientos verticales desarrollados por Jean Prouvé. ABSTRACT In the late nineteenth and the early twentieth century, the appearance of new materials, like steel or reinforced concrete, and the experimentation in industrial procedures cause a change in the concept of façade and in the way of build. The façade is released and become independent of the main structural frame, and the new building enclosure must answer the architectural and construction principles of that moment. A new façade is therefore looked for. A light, thin, self supported, multi layer, dry mounted and big dimensions façade that meet the exigencies of all building enclosure. You can ensure that until Jean Prouvé experiment with several materials and fabrication systems, the light façade technic does not develop completely. In his work we can find new materials applications and new technics and studies about light prefabrication with steel and aluminium, in an attempt of apply the mass production to construction. This Thesis carries out a deep analysis, graphic and written, of the vertical enclosure panels of Jean Prouvé’s work. This is made without studying them like isolated objects, but understanding that they are part of a particular architectural work, as a whole. The analysis is used for classify the panels according to main functions that a façade must satisfy: isolate, light up, ventilate and protect. And also to understand which are the keys, the resources and intentions used by Prouvé to achieve this goal. The result of the research is presented in two different ways. In the first one, a critical reflection is made in order to extract the important issues of the analyzed elements. That makes possible the approach to other architects and gives us a bigger range of vision. In the second, graphic, an atlas of the different types of vertical façade panels of Jean Prouvé is made.

Effect of carbon fibres on the mechanical properties and corrosion levels of reinforced portland cement mortars

The changes in mechanical properties of portland cement mortars due to the addition of carbon fibres (CF) to the mix have been studied. Compression and flexural strengths have been determined in relation to the amount of fibres added to the mix, water/binder ratio, curing time and porosity. Additionally, the corrosion level of reinforcing steel bars embedded in portland cement mortars containing CF and silica fume (SF) have also been investigated and reinforcing steel corrosion rates have been determined. As a consequence of the large concentration of oxygen groups in CF surface, a good interaction between the CF and the water of the mortar paste is to be expected. A CF content of 0.5% of cement weight implies an optimum increase in flexural strength and an increase in embedded steel corrosion.

Effect of aspect ratio on strain sensing capacity of carbon fiber reinforced cement composites

The electrical resistivity of carbon fiber reinforced cement composites (CFRCCs) has been widely studied, because of their utility as multifunctional materials. The percolation phenomenon has also been reported and modeled when the electrical behavior of those materials had to be characterized. Amongst the multiple applications of multifunctional cement composites the ability of a CFRCC to act as a strain sensor is attractive. This paper provides experimental data relating self-sensing function and percolation threshold, and studying the effect of fiber aspect ratio on both phenomena. Higher fiber slenderness permitted percolation at lower carbon fiber addition, affected mechanical properties and improved strain-sensing sensitivity of CFRCC, which was also improved if percolation had not been achieved.

Corrosion evaluation of epoxy-coated, metallic-clad and solid metallic reinforcing bars in concrete /

"December 1998."

A critical literature review of high-performance corrosion reinforcements in concrete bridge applications /

"HRDI-10/07-04(1M)E"--P. [4] of cover.

Corrosion protection : concrete bridges /

"September 1998."

Time-to-corrosion of reinforcing steel in concrete slabs.

Bibliography: p. 15.

Concrete-steel construction (Der Eisenbetonbau)

Includes index.

Recommended practices for welding reinforcing steel, metal inserts and connections in reinforaced concrete construction.

"AWS D12.1- 61."

Survey and correlation report on continuously reinforced pavements without joints, by W. H. Jacobs.

Mode of access: Internet.

Implementation of a bond model, including dilation, for reinforced materials in a finite element analysis /

Cover title.

A bibliography on the corrosion and protection of steel in concrete /

Mode of access: Internet.

Handbook for design of undersea, pressure-resistant concrete structures /

Mode of access: Internet.