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https://www.continuummechanics.org/columnbuckling.html
Column buckling is a curious and unique subject. It is perhaps the only area of structural mechanics in which failure is not related to the strength of the material. A column buckling analysis consists of determining the maximum load a column can support before it collapses. But for long columns, the collapse has nothing to do with material yield.
https://wp.optics.arizona.edu/optomech/wp-content/uploads/sites/53/2016/10/OPTI_222_W18.pdf
Buckling (Columns With Other End Conditions): However, in many engineering problems we are faced with columns with other end conditions. The first condition we would like to consider is a column with one fixed end and one free (unguided) end. By observation we see that this is identical to a pinned end column with a length of 2L.
https://www.bgstructuralengineering.com/BGSCM13/BGSCM006/BGSCM00602.htm
First, compressive strength is dependent on the direction of assumed buckling. Most compression members have a definite set of principle axis. Buckling will occur ABOUT one of these axes. Second, the support conditions at either end of the column will influence the compressive strength in each of the principle planes. Principle Axis and Planes
https://www.egr.msu.edu/~harichan/classes/ce405/chap3.pdf
compression and bending moment are called beam-columns. 3.2 COLUMN BUCKLING • Consider a long slender compression member. If an axial load P is applied and increased slowly, it will ultimately reach a value Pcr that will cause buckling of the column. Pcr is called the critical buckling load of the column…
https://www.engineeringintro.com/mechanics-of-structures/column-mechanics-of-structures/column-basics-types-failue-pattern-end-conditions-supports-design/
Dec 10, 2014 · Buckling load is the minimum load which produces buckling in a column. Crushing Load. Crushing load is the minimum load which crushes the column material. Value of buckling load will be smaller than crushing load on the same column. During the design of column, neither crushing load nor buckling is load considered.
https://academic.csuohio.edu/duffy_s/Overvew_Column_Analysis.pdf
Chapter 9: Column Analysis and Design Introduction ... • Columns support compressive loads from roofs, floors, or bridge decks. • Columns transmit the vertical forces to the foundations and into the subsoil. ... slender columns fail by buckling – a function of the column’s dimensions
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