Zur Gleitkreisberechnung ohne Lamellen nach DIN 4084

Slip circle stability calculation without slices based on DIN 4084

Using the formulas represented in DIN 4084:2009-01 and adopted from Fröhlich to calculate slip circle stability without slices the so-called degree of utilization of the design values of resistances is not obtained in accordance with its present definition. In this paper, a statically correct method of calculation corresponding to the current safety definitions is outlined. It is deduced from the principles of statics of rigid bodies. As generally for circular slip lines some statical assumptions must be introduced; those are explained and are not more restrictive than in the case of the slice methods. As for the slice methods, iteration is necessary, in general, to solve the equations. The method is extended for the problem of anchored slopes. Optionally, the required anchor force can be determined without iteration or the degree of utilization can be obtained for a given anchor force with iteration. The method can be performed graphically taking into account the rules of graphical statics or analytically by short basic calculation. The analytical algorithm also is compatible with computer programming. The application is demonstrated by an example of an anchored excavation slope.