Abstract
In this paper, the stresses in the plane cantilever beam are expressed by addition of the elementary stresses and the deviation stresses from them. The unknowns included in the deviation stresses are determined so as the distortion at the fixing end of the beam is constrained at five points, and the principle of minimum strain energy is satisfied. The numerical results are shown. Next the stresses are expressed by the higher approximation, and by similar treatment the distortion along the fixing end is satisfactorily decreased. By the above treatments, it is shown at the fixing end that the fiber stress distribution across the neutral axis is curved and not linear, and the shear stress distribution is concave and not parabolic. Moreover, many numerical results are contributed.
