ABSTRACT

Resultant of Boundary Intergranular Forces The trial arc of the circle is divided into a number of small elements. Let PI' P2, P3, etc. be the intergranular forces acting on these elements as shown in Fig. 10.12. The friction circle is drawn with a radius of R sin l/J'm

tan¢/ where tan f/J~=--

The lines of action of the intergranular forces PI' P2' P3' etc. are tangential to the friction circle and make an angle of l/J'm at the boundary. However, the vector sum of any two small forces has a line of action through point D, missing tangency to the l/J'm-circle by a small amount. The resultant of all granular forces must therefore miss tangency to the l/J'm-circle by an amount which is not considerable. Let the distance of the resultant of the granular force P from the center of the circle be designated as KR sin l/J'm (as shown in Fig. 10.12). The