On the Calculation of the Buckling Stress of a Rectangular Plate by the Slope Deflection Method

Abstract

The energy method is populary used in the calculation of the buckling stress of a rectangular plate, but, although this method is very convenient when the four sides are simply supported, it is not favourable in other cases. In the case when a rectangular plate is simply supported on the two sides perpendicular to the direction of normal forces and has various boundary conditions on the other two sides, there· are R. Barbre's method based on the method of integration and K. Nolke's method based on the method of energy. According to the former, however, the number of lines and columns of the determinant which represents the equation of buckling condition increases to such an extent that the calculation becomes very difficult. According to the latter, the calculation is possible, but extremely complicated and laboursome. In an attempt to simplify the calculation, the author has induced a formula by the slope deflection method to be applied to such cases and has obtained very satisfactory results.