Elastic Bending Stress Analysis for Case of Corrugated Fiberboard Box Shape (Square Tubular) under Uniform Compressive Loading (On Anisotropic Side Plates)

Abstract

Formulations of elastic deflection and bending stresses for anisotropic side plates (width 350, height h=300 and thickness 5.44mm, and longitudinal coefficients E x =291 and E y =153 N/mm2 in width and height directions and Poison's ratio νxy=0.10 for width direction strain to height direction strain) in the case of the corrugated fiberboard box shape (CFCBS) under uniform compression py0 were expressed using the constrain of four edges, and behaviors of deflection iv and bending stresses for its box were discussed by these formulations. w and bending normal stresses σbx and σby in width and height directions of side plates distribute symmetrically to center lines in width and height directions, and shear stress τbxy distributes antisymmetrically to their center lines. Maximum wm of|w| is at side edge centers in the side plate, and maximum σbxm of σbx is at side edge centers and maximum σbym of |σby| is at positions of L/32 from the plate center in the width direction. And maximum τbxym of |τxby| is at corners of the side plate. Ratios w (aniso) /w (iso), σbx (aniso) /σbx (iso), σby (aniso) /σby (iso) and τbxy (aniso) /τbxy (iso) for the anisotropic plate to the isotropic plate (longitudinal coefficient E =E x and Poison's ratio ν=νxy) are about 2, 2, 1 and 4/3 respectively.