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Lecture

Parabolic Equations in Structural Engineering

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 application of parabolic equations in structural engineering, focusing on the geometry of a span, prestressing forces, and strength of constraints. The instructor explains the concept of span centricity and hyperstatic preload moments, providing calculations and examples.

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 (17)

Structural engineering

Structural engineering is a sub-discipline of civil engineering in which structural engineers are trained to design the 'bones and muscles' that create the form and shape of human-made structures. Structural engineers also must understand and calculate the stability, strength, rigidity and earthquake-susceptibility of built structures for buildings and nonbuilding structures. The structural designs are integrated with those of other designers such as architects and building services engineer and often supervise the construction of projects by contractors on site.

Structural engineer

Structural engineers analyze, design, plan, and research structural components and structural systems to achieve design goals and ensure the safety and comfort of users or occupants. Their work takes account mainly of safety, technical, economic, and environmental concerns, but they may also consider aesthetic and social factors. Structural engineering is usually considered a specialty discipline within civil engineering, but it can also be studied in its own right.

Structural analysis

Structural analysis is a branch of solid mechanics which uses simplified models for solids like bars, beams and shells for engineering decision making. Its main objective is to determine the effect of loads on the physical structures and their components. In contrast to theory of elasticity, the models used in structure analysis are often differential equations in one spatial variable. Structures subject to this type of analysis include all that must withstand loads, such as buildings, bridges, aircraft and ships.

Structural integrity and failure

Structural integrity and failure is an aspect of engineering that deals with the ability of a structure to support a designed structural load (weight, force, etc.) without breaking and includes the study of past structural failures in order to prevent failures in future designs. Structural integrity is the ability of an item—either a structural component or a structure consisting of many components—to hold together under a load, including its own weight, without breaking or deforming excessively.

Partial differential equation

In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similar to how x is thought of as an unknown number to be solved for in an algebraic equation like x2 − 3x + 2 = 0. However, it is usually impossible to write down explicit formulas for solutions of partial differential equations.

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