# buckling

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## buckling

[′bək·liŋ]
(engineering)
Wrinkling or warping of fibers in a composite material.
(mechanics)
Bending of a sheet, plate, or column supporting a compressive load.
(nucleonics)
The size-shape factor that appears in the general nuclear reactor equation and is a measure of the curvature of the neutron density distribution in the reactor.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

## Buckling

in strength of materials, the bending of an originally straight column under the effect of centrally applied axial compressive forces that exceed the column’s bearing power. For a column of uniform cross section exhibiting elastic behavior, the various forms of buckling correspond to critical values of the compressive forces Nc = μ2n2EI/(μl)2, where E is the modulus of elasticity of the material of the column, I is the minimum value of the axial moment of inertia of the column’s cross section, l is the length of the column, μ is the coefficient of reduced length dependent on the conditions of end support of the column, and n is an integer. The minimum value for the critical force is usually of practical interest in that for a column with pinned ends (μ = 1), this force causes bending of the column according to a half-cycle sine curve (n = 1). The magnitude of the force is calculated by the Euler formula Nc = π2EI/l2. The stress σc = Nc/F(F is the cross-sectional area of the column) corresponds to the critical force and is called the critical stress. If the value of the critical stress exceeds the proportional limit of the column material, then buckling occurs in the zone of plastic deformations. In this case, the minimum critical force is determined by the formula Nc = π2n2TI/(μl)2, where T is the modulus, which characterizes the dependence between the deformations and the stresses beyond the limits of the elastic deformations.

In structural design, buckling is taken into account in calculating column loads.

L. V. KASAB’IAN

## buckling

The collapse of a slender vertical element which has been subjected to compression, leading to a sudden sideways deflection.
McGraw-Hill Dictionary of Architecture and Construction. Copyright © 2003 by McGraw-Hill Companies, Inc.

## buckling

Buckling failure of hollow shaft of ductile material.
A state of unstable equilibrium of a thinwalled body when compressive loads are applied on its walls. The resultant deformation may be elastic (i.e., the body regains its shape once compressive loads are removed) or permanent. In some cases, it may even lead to collapse of the structure. The most visible forms of buckling are wrinkles or kinks on the surface of a sheet metal aircraft structure.
References in periodicals archive ?
If [mathematical expression not reproducible] then the strut will be thin and buckling theory will be applied
The classical laminated plate theory (CLPT) is used to analyze the plate buckling (Barbero, 2010).
1, the drill string lies on the low side of the borehole, and might buckle into a sinusoidal or helical buckling configuration with the increase of the compression on the top end (the left end in Fig.
Secondly, a small transverse force P=0.02 x mg sin(0.5[pi]t) is loaded in the middle of the drill string in another 10 seconds, acting as a trigger for the onset of the buckling [8].
Smith [2] considered torsional buckling of four equal-leg angles used for composite plain cruciform sections.
The technical brief provides a basic primer for code checks for flexural and torsional buckling resistance of doubly symmetric flexural cruciform members, as well as suggestions for typical flanged cruciform stiffener details.
The length of the columns was chosen to have the coincident distortional and global buckling stresses (fCrd and fcre are the distortional and global (flexural or flexural -torsional) critical buckling stresses respectively) by performing elastic buckling analysis using CUFSM software.
Vast study introduced three levels of global column initial deflections (L/1000, L/400, L/200), various ratios 2a/L (to cover all possible buckling modes) and initial stay prestress up to [3T.sub.opt].
The buckling behavior of the rotational drill string in horizontal well is affected by many factors.
An arbitrary small initial imperfection level of H/100,000 was incorporated in an attempt to find a bifurcation-type buckling load.
[5] obtained the critical buckling loads and half-wave numbers of axially loaded RF and RR plates by solving two transcendental equations.
It won't interfere with your vehicle's buckling mechanism, as it locks into place around the fabric that anchors back seat buckles to your auto's back seat.

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