Lecture

Metal Structures: Buckling and Deformation

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In course

CIVIL-235: Design of steel structures

Ce cours permet de maitriser les aspects fondamentaux et pratiques du dimensionnement des structures en acier. Il traite des poutres, des poteaux, des assemblages, des cadres, des systèmes porteurs et des problèmes de stabilité. ...

Description

This lecture covers the study of buckling modes in metal structures, including compressed and flexed bars, Euler's formula derivation, buckling lengths, and elastic behavior. It also explores buckling by bifurcation and divergence, as well as the influence of geometric imperfections.

Instructor

Alain Nussbaumer

Expertise Metallic structuresStructural glassFatigue and fracture mechanicsAssessment of existing structuresUltra low cycle Teaching & PhD Past EPFL PhD Students Luís Costa Borges, Claire Acevedo, Nariman Maddah, Farshid Zamiri Akhlaghi, Manuel Santarsiero, Luca D'Angelo, Cláudio Alexandre Pereira Baptista, Albano António Sousa, Jagoda Cupac, Ardalan Hosseini, Martin Garcia, Hossein Heydarinouri, Jian Zhan Past EPFL PhD Students as codirector Marina Rocha Courses Design of steel structures CIVIL-2

Official source

Related concepts (25)

Deformation (engineering)

In engineering, deformation refers to the change in size or shape of an object. Displacements are the absolute change in position of a point on the object. Deflection is the relative change in external displacements on an object. Strain is the relative internal change in shape of an infinitesimally small cube of material and can be expressed as a non-dimensional change in length or angle of distortion of the cube. Strains are related to the forces acting on the cube, which are known as stress, by a stress-strain curve.

Hopf bifurcation

In the mathematical theory of bifurcations, a Hopf bifurcation is a critical point where, as a parameter changes, a system's stability switches and a periodic solution arises. More accurately, it is a local bifurcation in which a fixed point of a dynamical system loses stability, as a pair of complex conjugate eigenvalues—of the linearization around the fixed point—crosses the complex plane imaginary axis as a parameter crosses a threshold value.

Deformation (physics)

In physics and continuum mechanics, deformation is the transformation of a body from a reference configuration to a current configuration. A configuration is a set containing the positions of all particles of the body. A deformation can occur because of external loads, intrinsic activity (e.g. muscle contraction), body forces (such as gravity or electromagnetic forces), or changes in temperature, moisture content, or chemical reactions, etc. Strain is related to deformation in terms of relative displacement of particles in the body that excludes rigid-body motions.

Bifurcation diagram

In mathematics, particularly in dynamical systems, a bifurcation diagram shows the values visited or approached asymptotically (fixed points, periodic orbits, or chaotic attractors) of a system as a function of a bifurcation parameter in the system. It is usual to represent stable values with a solid line and unstable values with a dotted line, although often the unstable points are omitted. Bifurcation diagrams enable the visualization of bifurcation theory.

Viscoelasticity

In materials science and continuum mechanics, viscoelasticity is the property of materials that exhibit both viscous and elastic characteristics when undergoing deformation. Viscous materials, like water, resist shear flow and strain linearly with time when a stress is applied. Elastic materials strain when stretched and immediately return to their original state once the stress is removed. Viscoelastic materials have elements of both of these properties and, as such, exhibit time-dependent strain.

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