method of overall buckling load are included because it indicates an upper bound for the critical gravity load and it allows an assessment of the relative vulnerability of the building to transverse buckling or torsional buckling and for structures which an approximate p-delta analysis to amplification factor for the displacements and moments.
Shear mode
this mode is when double bending of the columns and girders buckling occurs in resistant frames as a result of story sway.
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| shear buckling |
Flexural mode
in this mode, the entire structure buckles as a flexural cantilever by axial deformations of the columns. the greater the slenderness of structure it becomes more vulnerable to instability in the flexural mode as opposed to the shear mode.
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| flexural buckling in structure |
Combined shear and flexural modes
this is a contribution of shear and flexural modes, in this case of the buckling of a vertical cantilever with a gravity load as its top, below solution exists
1/Pcr = 1/Pf + 1/Ps
Pcr, Pf and Ps = critical loads for the combined, flexural and shear modes of buckling respectively.
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| flexural-shear buckling in structure |
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