Before revision: For a rectangular plate, supported along every edge, loaded with a uniform compressive force per unit length, the derived governing equation can be stated by: where , out-of-plane deflection , uniformly distributed compressive load , Poisson's ratio , modulus of elasticity , thickness The solution to the deflection can be expanded into two harmonic functions shown: where , number of half sine curvatures that occur lengthwise , number of half sine curvatures that occur widthwise , length of specimen , width of specimen The previous equation can be substituted into the earlier differential equation where equals 1. can be separated providing the equation for the critical compressive loading of a plate: where , buckling coefficient , given by: The buckling coefficient is influenced by the aspect of the specimen, / , and the number of lengthwise curvatures.
After revision: For a rectangular platetheis supported along every edge, loaded with a uniform compressive force per unit length, the derived governing equation can be stated by: where , out-of-plane deflection , uniformly distributed compressive load , Poisson's ratio , modulus of elasticity , thickness The solution to the deflection can be expanded into two harmonic functions shown: where , number of half sine curvatures that occur lengthwise , number of half sine curvatures that occur widthwise , length of specimen , width of specimen The previous equation can be substituted into the earlier differential equation where equals 1. can be separated providing the equation for the critical compressive loading of a plate: where , buckling coefficient , given by: The buckling coefficient is influenced by the aspect of the specimen, / , and the number of lengthwise curvatures.