Design of Columns in Terms of Stability

Abstract

SummaryIn this paper, we investigate global and local stability of columns with an open and a closed thin-walled cross section. The proposed model of global stability is made of two deformable elements connected with an elastic joint. Stiffness of the elastic joint represents local discontinuity of the cross section of the column caused by the loss of stability of individual plates. The model of local stability of the columns is conceptualized on the principle of continuity of individual plates of the cross section. The coefficients of local buckling are defined as geometric parameters of the column with a rectangular hollow section (RHS) and a U-shaped cross section. The dominant parameters that influence the interactive behaviour of local and global buckling are the slenderness of plates and the column as a whole. The basic function of the developed models is to identify the stability mechanism in terms of better estimation of the critical force and higher load capacity.

Buckling and Vibration of a Stepped Plate

“…The bending moment of the vertical plates (M r ) is proportional to the axial moment of their surface areas and the overall bending moment of the girder. Global stresses in terms of optimum design require an increase in the girder height, and consequently that of the rib; this result in increased slenderness and a potential loss of stability due to a greater bending moment [27]. The main problem regarding the implementation of equation (1) for vertical girder plates is not related only to the geometry (stepwise variable thickness), but also to the conditions of supporting (boundary conditions), as well as the characteristics of loading.…”

Sacrificial Support Fixture Optimisation for the CNC Rapid Machining of Medical Parts with Thin Ends

“…The finite element analysis is a widely used and recognized method for determining optimal process parameters, according to the work done by various researchers [19][20][21]36]. In the studies [22][23][24][25], FEA plays a very vital role in finding out various types of deflections and stresses produced in a part during machining.…”