# 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.

## 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.

## 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 classic literature ?
No matter how high a statesman may stand, he is certain to have some household drudge, before whom he is weak, undecided, disputations with fate, self- questioning, self-answering, and buckling for the fight.
It is a picture, and I can see it now,--the jagged edges of the hole in the side of the cabin, through which the grey fog swirled and eddied; the empty upholstered seats, littered with all the evidences of sudden flight, such as packages, hand satchels, umbrellas, and wraps; the stout gentleman who had been reading my essay, encased in cork and canvas, the magazine still in his hand, and asking me with monotonous insistence if I thought there was any danger; the red-faced man, stumping gallantly around on his artificial legs and buckling life-preservers on all corners; and finally, the screaming bedlam of women.
I would tell you everything, darling, about myself," she went on, nervously buckling and unbuckling the ribbon round my waist, "if my confidences could only end there.
So saying, he raised his face, which was very red,--no doubt from the exertion of strapping and buckling as aforesaid,--and giving the reins to the old man, who had by this time taken his seat, sighed again and bade him good night.
We support this program to give our business partners the opportunity to get more involved at the local level and to help them take a stand on the issue of buckling up for safety," said John Lord, residential products vice president and general manager, Bryant, Day & Night and Payne.
s manufacturing rights, patents, and assets for Select-Ease and Rubber Dome computer keyboards, including its patented Buckling Spring technology.
This statistic alone should convince people that buckling up saves lives.
Chrysler is striving to raise awareness in Spokane about the importance of safety belts and buckling kids in the back seat.
A linear buckling analysis simply points out the critical buckling load provided that there is no change in material nonlinearities or load direction.
SACRAMENTO, Calif -- Law enforcement from Redding to San Diego, including the California Highway Patrol, will be on the lookout for impaired drivers and drivers and passengers not buckling up over the upcoming Labor Day holiday.
Chrysler is striving to raise awareness in the Jackson area about the importance of safety belts and buckling kids in the back seat.
The National Highway Traffic Safety Administration's observational surveys before and after the last May Mobilization showed six million more people buckling up.

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