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Finite element analysis of torsional and torsional–flexural stability problems

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TLDR
Structure of flexural members, analyzing torsional and lateral stability by finite element method and matrix formulation is presented in this article, where the authors propose a finite element-based matrix formulation.
Abstract
Structure of flexural members, analyzing torsional and lateral stability by finite element method and matrix formulation

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Stiffness Matrix for Geometric Nonlinear Analysis

TL;DR: In this article, a stiffness matrix for the analysis of thin walled beams is derived, starting from the principle of virtual displacements, and an updated Lagrangian procedure for nonlinear analysis is developed.
Journal ArticleDOI

Recent research advances in cold-formed steel structures

TL;DR: In this paper, the development of cold-formed sections in building construction has been outlined and a more detailed consideration of the related design procedures is presented, where the latest trend is to move from simplified design models to design procedures based on "whole section" analysis.
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On the geometrical stiffness of a beam in space—a consistent V.W. approach

TL;DR: In this article, the authors apply the standard virtual work expressions to the large displacement-small strain domain and derive the geometrical stiffness matrix of an arbitrary finite element from the virtual work of the second order terms in the strains.
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Joint Rotation and Geometric Nonlinear Analysis

TL;DR: In this article, it is verified that equilibrium of a rotated angle joint can be achieved if each joint moment is defined as a semitangential moment and alternative definitions for moments are studied for the purpose of resolving this problem.
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Pointwise Equilibrating Polynomial Element for Nonlinear Analysis of Frames

TL;DR: In this article, a pointwise equilibrating polynomial (PEP) element is proposed for nonlinear analysis of frames in which each member can be modeled by one element in most cases.
References
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Book

Buckling strength of metal structures

TL;DR: Bleich's Buckling Strength of Metal Structures as mentioned in this paper provides a comprehensive treatment of the stability problems associated with columns and flat sheets, but does not cover in sufficient detail either the stability of curved sheets (considered as isolated components), or the structural stability of sheetstringer combinations.
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Stabilitätsprobleme bei geraden Stäben und Wellen

TL;DR: In this article, the authors established differential equations and boundary conditions for the buckling problem as well as the problem of critical speed, and showed that the purely statical method usually applied is legitimate only in the absence of torsion, the axial moment being non conservative.
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Torsional-Flexural Buckling of Thin-Walled Members

TL;DR: In this article, a simple method of calculating the elastic, torsional-flexural buckling load of centrally loaded, thin-walled columns with singly-symmetrical sections is presented.