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Increment of earth pressure due to horizontal surcharge

Infinitely long distributed load f acting horizontally the on the ground surface leads to a triangular increment of active earth pressure applied to the structure over a given segment h_f - see figure:

Diagram of increment of active earth pressure due to horizontal distributed load acting on ground surface

Range of the earth pressure contribution is determined by two lines drawn from the endpoints of the distributed load with angle φ and angle ϑ_a (corresponding to the critical slip surface), which is provided by:

For non-homogeneous soil and inclination of ground surface β smaller than the angle of internal friction of the soil φ the value of the angle ε is given by:

The resultant of the increment of active earth pressure due to line load f is provided by:

For non-homogeneous soils the program proceeds as follows.