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GEO5

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GWT on Tension Crack

GTW on tension crack

The slip surface is entirely below the groundwater table; the GWT either intersects the tension crack or is aligned with the terrain, the maximal value of uplift pressure is at the toe of the face.

Hydrostatic pressure on slip surface and on tension crack, max. value at the toe of the slope

The value of uplift pressure u at the intersection of slip surface and tension crack is given by:

where:

γw

-

unit weight of water

ht

-

height of GWT above the line of intersection of slip surface and tension crack

The resulting compressive water force V acting in the direction normal to the tension crack is given by:

where:

γw

-

unit weight of water

ht

-

height of GWT above the line of intersection of slip surface and tension crack

φ

-

deflection of tension crack from vertical

The value of hydrostatic pressure u1 at the toe of the slope is given by:

where:

γw

-

unit weight of water

Hw

-

height of GWT above toe of slope

The resulting compressive water force U acting in the direction normal to the slip surface is given:

where:

u

-

water pressure acting on the line of intersection of slip surface and tension crack

u1

-

water pressure at the toe of the slope

ht

-

height of GWT above the line of intersection of slip surface and tension crack

α

-

deflection of slip surface from horizontal

Hw

-

height of GWT above the toe of the slope

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