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Lecture

The Analytic Determination of Sheath Trace

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 analytic determination of the trace of a sheath, a topic that is currently not well understood due to the complexity of the main parameters involved. The instructor explains how this trace is derived from a general pool of unknowns, shedding light on a crucial aspect of modern analysis.

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 (3)

Parameter

A parameter (), generally, is any characteristic that can help in defining or classifying a particular system (meaning an event, project, object, situation, etc.). That is, a parameter is an element of a system that is useful, or critical, when identifying the system, or when evaluating its performance, status, condition, etc. Parameter has more specific meanings within various disciplines, including mathematics, computer programming, engineering, statistics, logic, linguistics, and electronic musical composition.

Mathematical analysis

Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions. These theories are usually studied in the context of real and complex numbers and functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space).

Equation

In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign . The word equation and its cognates in other languages may have subtly different meanings; for example, in French an équation is defined as containing one or more variables, while in English, any well-formed formula consisting of two expressions related with an equals sign is an equation. Solving an equation containing variables consists of determining which values of the variables make the equality true.