If two parallel plates bound a fluid and the plates are free to translate relative to each other, recent calculations have shown that vibrations applied to one plate in the form of travelling waves may induce motion of the other. Such driving is a phenomenon that, while fairly common in biological settings, is less well understood in mechanical and engineering contexts. Straight lines in the plate that were originally vertical remain straight but become inclined therefore the intensity of either principal stress at points on any such line is proportional to the distance from the middle surface, and the maximum stresses occur at the outer surfaces of the plate.A prototype problem for the propulsion arising from a spatially-dependent source is analysed asymptotically. The middle surface (halfway between top and bottom surfaces) remains unstressed at other points there are biaxial stresses in the plane of the plate. Please note that most of the calculators do require a premium membership for full functionality.įlat plate behavior: The plate deflects. Many of the stress and deflection equations and calculators referenced from Roark's Formulas for Stress and Strain. Flat Plates Stress, Deflection Equations and Calculatorsįlat Plates Stress, Deflection Equations and Calculators: The follow web pages contain engineering design calculators that will determine the amount of deflection and stress a flat plate of known thickness will deflect under the specified load and distribution.
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