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(1) Website Cookies Utilized by ITASCA INTERNATIONALĪ cookie is a small text file in alphanumeric format deposited on the If the beam has a circular cross section, it can buckle in out of plane in any direction.This policy applies to the site (hereinafter the "Site").
(Since we're assuming the beam is homogenous and isotropic, there is no preference for buckling up or down. There is a point force acting in the x axis that causes the beam to deflect in the y direction. Let's look at an illustration of a cantilevered beam (free on one end and clamped on the other. Sometimes, it desirable to design for structures to buckle, for example the steering in your car is designed to buckle under significant loads to prevent it from further injuring the driver in a crash. When designing columns and beams, buckling could result in a catastrophic failure – imagine the buckling of a bridge's vertical supports. This phenomenon is known as buckling, and it is a very different structural response than in-plane compression.
Imagine pushing on a straw – is you push gently, nothing really happens, but once you push it with enough force, it will bow outward at the center. We know from our own experiences that this isn't the only thing that can happen. In our first lesson about stress, we talked about axially loads that generate tensile and compressive stresses within a material, and in learning about strain we described how a structure will be compressed to a shorter length under an axial, compressive stress. In the last lesson we learned about the equation of the elastic curve, and we described the deflection of a beam in response to transverse loading.
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