新しい応力関数を使用するせん断変形を含む平面板のフーリェ級数解

抄録

New stress functions introduced by prof. Tosaka and prof. Sueoka for expressing stress components at a point in three dimensional elastic body are used in a theory of plate bending including the effect of transverse shear deformation. Two conditions of compatibility are obtained as governing differential equations expressed by new stress functions. Displacement components and resultant stress components acting at a point of section of the plate obtained by employing double trigonometric series agree with these obtained by using displacement method in expression. It is shown that numerical results of displacements, bending moments and shearing forces for a uniformly loaded rectangular plate with two opposite edges simply supported, the third edge clamped, and the forth edge free, agree with calculated results by employing displacement method.