Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Elastic Buckling of Planar Beam Systems
The buckling behavior of elastic beams and planar systems of beams is analyzed. The linearized model of extensible beam is formulated in the context of the theory of prestressed bodies. The critical load of single-span beams is determined for various boundary conditions, leading to the definition of effective length and slenderness. The response to generic transverse forces, acting on sub-critically compressed beams, is evaluated by the (approximate) ruleof amplification. Stepped beams, possessing piecewise variable stiffness, as well as beams subject to non-uniform compression (piecewise or continuously variable), are studied. Whenever possible, an analytical solution is pursued, exact or in power series form; when this is not viable, the problem is attacked by the Ritz variational method. Uniformly compressed beams with elastic constraints, concentrated or diffuse (Winkler elastic soil), are addressed. It is shown that the buckling pattern depends on the ratio between spring and beam stiffnesses. Buckling of cable-prestressed concrete beams is then analyzed, with cables being external or internal to the beam. It is shown that the critical load does/does not depend on prestressing, in the two cases, respectively. With reference to a truss beam, global and local forms of buckling are discussed. Two different finite elements, polynomial and exact, are formulated to perform a numerical analysis of buckling of planar frames.
Elastic Buckling of Planar Beam Systems
The buckling behavior of elastic beams and planar systems of beams is analyzed. The linearized model of extensible beam is formulated in the context of the theory of prestressed bodies. The critical load of single-span beams is determined for various boundary conditions, leading to the definition of effective length and slenderness. The response to generic transverse forces, acting on sub-critically compressed beams, is evaluated by the (approximate) ruleof amplification. Stepped beams, possessing piecewise variable stiffness, as well as beams subject to non-uniform compression (piecewise or continuously variable), are studied. Whenever possible, an analytical solution is pursued, exact or in power series form; when this is not viable, the problem is attacked by the Ritz variational method. Uniformly compressed beams with elastic constraints, concentrated or diffuse (Winkler elastic soil), are addressed. It is shown that the buckling pattern depends on the ratio between spring and beam stiffnesses. Buckling of cable-prestressed concrete beams is then analyzed, with cables being external or internal to the beam. It is shown that the critical load does/does not depend on prestressing, in the two cases, respectively. With reference to a truss beam, global and local forms of buckling are discussed. Two different finite elements, polynomial and exact, are formulated to perform a numerical analysis of buckling of planar frames.
Elastic Buckling of Planar Beam Systems
Luongo, Angelo (Autor:in) / Ferretti, Manuel (Autor:in) / Di Nino, Simona (Autor:in)
Stability and Bifurcation of Structures ; Kapitel: 7 ; 185-242
17.02.2023
58 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Linearized prestressed beam model , Effective beam length , Amplification factor , Stepped beams , Non-uniformly compressed beams , Ritz method for beams , Elastically braced beams , Beams on Winkler soil , Cable-prestressed concrete beams , Local and global modes of truss beams , Finite elements for planar frames Engineering , Mechanical Statics and Structures , Solid Mechanics , Mechanical Engineering , Structural Materials , Solid Construction , Building Construction and Design
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