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Line Surcharge - Active Earth Pressure

Vertical infinitely long line load f acting on the ground surface parallel with structure 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 vertical line load acting on ground surface

Action of the line surcharge is determined such that two lines are drawn from the point of application following angles φ and 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.