Berechnung des Erdruhedrucks - verschiedene analytische Ansätze für beliebige Neigungen von Gelände und Wand.

Calculation of the earth pressure at rest - analytical approaches for arbitrary inclinations of ground surface and wall. The earth pressure at rest is defined as a statically indeterminate stress strain problem. The formulas to estimate the coefficients of earth pressure at rest for normally consolidated as well as for over consolidated soils commonly assumed and proposed in DIN 4085 are explained on the basis of more general material behaviour observed in element tests. Equations to calculate the earth pressure at rest in case of horizontal ground surface and inclined wall are deduced from the rules of stress transformation. For the case of a uniformly inclined ground surface the equations of the stress field are formulated using a characteristic coordinate system with axes parallel and orthogonal to the surface. Thus, the equilibrium equations are reduced from a pair of partial to two ordinary differential equations which simply can be solved, and the coefficient of earth pressure at rest depending on the angle of surface inclination β can be introduced. This coefficient is estimated by interpolation between the values for β = 0 and the limit case β = φ (angle of internal friction). The interpolation formula is the unique assumption in the calculation. On the basis of these equations the earth pressure at rest on a wall with given inclination is determined analogously to the case with horizontal ground surface by stress transformation. Examples are presented. A simplified calculation method used commonly in practice is elucidated and discussed; for its application to inclined walls under inclined ground surface a correction factor is deduced from the strict method. [ABSTRACT FROM AUTHOR]