Lecture

Metal Structures: Support Conditions and Elastic Discharge

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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 influence of load application points on secondary moments, critical moments of elastic discharge, support conditions, and the prevention of warping in metal structures. It also discusses embedding coefficients, support types, and boundary conditions.

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 (16)

Dirichlet boundary condition

In the mathematical study of differential equations, the Dirichlet (or first-type) boundary condition is a type of boundary condition, named after Peter Gustav Lejeune Dirichlet (1805–1859). When imposed on an ordinary or a partial differential equation, it specifies the values that a solution needs to take along the boundary of the domain. In finite element method (FEM) analysis, essential or Dirichlet boundary condition is defined by weighted-integral form of a differential equation.

Robin boundary condition

In mathematics, the Robin boundary condition (ˈrɒbɪn; properly ʁɔbɛ̃), or third type boundary condition, is a type of boundary condition, named after Victor Gustave Robin (1855–1897). When imposed on an ordinary or a partial differential equation, it is a specification of a linear combination of the values of a function and the values of its derivative on the boundary of the domain. Other equivalent names in use are Fourier-type condition and radiation condition.

Boundary value problem

In the study of differential equations, a boundary-value problem is a differential equation subjected to constraints called boundary conditions. A solution to a boundary value problem is a solution to the differential equation which also satisfies the boundary conditions. Boundary value problems arise in several branches of physics as any physical differential equation will have them. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems.

Neumann boundary condition

In mathematics, the Neumann (or second-type) boundary condition is a type of boundary condition, named after Carl Neumann. When imposed on an ordinary or a partial differential equation, the condition specifies the values of the derivative applied at the boundary of the domain. It is possible to describe the problem using other boundary conditions: a Dirichlet boundary condition specifies the values of the solution itself (as opposed to its derivative) on the boundary, whereas the Cauchy boundary condition, mixed boundary condition and Robin boundary condition are all different types of combinations of the Neumann and Dirichlet boundary conditions.

Cauchy boundary condition

In mathematics, a Cauchy (koʃi) boundary condition augments an ordinary differential equation or a partial differential equation with conditions that the solution must satisfy on the boundary; ideally so as to ensure that a unique solution exists. A Cauchy boundary condition specifies both the function value and normal derivative on the boundary of the domain. This corresponds to imposing both a Dirichlet and a Neumann boundary condition. It is named after the prolific 19th-century French mathematical analyst Augustin-Louis Cauchy.

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