Stress Analysis of Half Plane under Internal Concentrated Load

• 1、Taizhou Highway Management Department

Abstract：In this paper based on Englis solution and Mitchell\'s solution for wedges under concentrated load at the top, after defining sign rules for variables, the stress of half plane under internal force couples and internal concentrated forces was analyzed with replacement method for boundary stresses and integral operations. The analytical solution for the stresses of half plane under arbitrary internal forces was derived, which meets the stress boundary conditions. The distribution of boundary stress, the typical internal stress under force couples and horizontal forces, and the maximum stress under vertical forces were shown in formulas. The maximum stress locates at the vertical projection point of the force on the boundary as the concentrated force is perpendicular to the boundary and the value is inversely proportional to the distance from the force to the boundary.

Keywords： theoretical mechanics half plane concentrated force force couple boundary stress wedge