Lecture

Stability of Systems and Concrete Bridges

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In course

CIVIL-430: Concrete bridges

Ce cours traite les principaux aspects de la conception et du dimensionnement des ponts en béton armé et précontraint. L'accent est mis sur les ponts poutres. Etude des aspects suivants : optimisation du comportement structural, dimensionnement, dynamique ...

Description

This lecture covers the stability of systems and concrete bridges, discussing the choice between fixed and floating systems, the cautious approach for fixed systems, and the methods for ensuring stability. It also explores the hypothesis for fixed systems and the imperfections in piles types.

Instructor

Aurelio Muttoni

Aurelio Muttoni is full Professor and Head of the Structural Concrete Laboratory at the Ecole Polytechnique Fédérale de Lausanne (Switzerland). He received his diploma and PhD in civil engineering from the Swiss Federal Institute of Technology, Zurich, Switzerland, in 1982 and 1989, respectively. His current teaching activities focus on the conceptual design of structures, theory and dimensioning of concrete structures as well as bridge design. His research group is active in the following domains: behaviour and design methods for structural concrete, conceptual design of innovative structures, shear in structural concrete, punching shear of slabs, nonlinear structural analysis including its reliability, bond between steel and concrete, aggregate interlocking, fatigue and influence of sustained loading on the concrete strength, mechanical behaviour and design concepts for ultra-high performance concrete, textile concrete and recycled concrete. Aurelio Muttoni was the recipient of the Chester Paul Siess Award for Excellence in Structural Research in 2010 and the co-recipient of the Wason Medal for Most Meritorious Paper in 2014 of the American Concrete Institute. He is a member of the Presidium of fib (International Federation for Structural Concrete), several fib commissions and task groups and has been Project Team Leader for the second generation of EN 1992-1-1 (Eurocode for structural concrete). Aurelio Muttoni is also cofounder and partner of the Muttoni & Fernández consulting office (www.mfic.ch). This office is active in the conceptual design, analysis and dimensioning of load-bearing structure in architecture and civil engineering constructions as well as consulting activities in the field of structural engineering.

Official source

Related concepts (30)

Lyapunov stability

Various types of stability may be discussed for the solutions of differential equations or difference equations describing dynamical systems. The most important type is that concerning the stability of solutions near to a point of equilibrium. This may be discussed by the theory of Aleksandr Lyapunov. In simple terms, if the solutions that start out near an equilibrium point stay near forever, then is Lyapunov stable. More strongly, if is Lyapunov stable and all solutions that start out near converge to , then is said to be asymptotically stable (see asymptotic analysis).

Stability theory

In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation, for example, is a stable partial differential equation because small perturbations of initial data lead to small variations in temperature at a later time as a result of the maximum principle. In partial differential equations one may measure the distances between functions using Lp norms or the sup norm, while in differential geometry one may measure the distance between spaces using the Gromov–Hausdorff distance.

Structural stability

In mathematics, structural stability is a fundamental property of a dynamical system which means that the qualitative behavior of the trajectories is unaffected by small perturbations (to be exact C1-small perturbations). Examples of such qualitative properties are numbers of fixed points and periodic orbits (but not their periods). Unlike Lyapunov stability, which considers perturbations of initial conditions for a fixed system, structural stability deals with perturbations of the system itself.

Prestressed concrete

Prestressed concrete is a form of concrete used in construction. It is substantially "prestressed" (compressed) during production, in a manner that strengthens it against tensile forces which will exist when in service. This compression is produced by the tensioning of high-strength "tendons" located within or adjacent to the concrete and is done to improve the performance of the concrete in service. Tendons may consist of single wires, multi-wire strands or threaded bars that are most commonly made from high-tensile steels, carbon fiber or aramid fiber.

Bridge

A bridge is a structure built to span a physical obstacle (such as a body of water, valley, road, or railway) without blocking the way underneath. It is constructed for the purpose of providing passage over the obstacle, which is usually something that is otherwise difficult or impossible to cross. There are many different designs of bridges, each serving a particular purpose and applicable to different situations.

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