Plane-Stress yielding of cantilevers in bending due to combined shear and axial load

Abstract

A plane-stress slip-line field analysis has been made of the possible plastic deformation modes of a built-in cantilever beam of rectangular cross-section subjected to a shear force at the free end with or without an axial load. Plastic-collapse loads for the several types of deformation patterns suggested are computed and the results presented in detail in the form of curves. Some simple upper- and lower-bound estimates to the collapse load have also been determined and are compared with both the plane-stress slip-line results and those presented by Green (1), plane-strain conditions being assumed. The agreement between the plane-stress slip-line fields and the assumed lower-bound results is found to be excellent.