# Formulae Sheet (Geo-tech engg)

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Formulae summarized of geotechnical engg
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Formulae Sheet Stress Distribution 1)   Approximation (2:1) Method Stress at any depth Ϭ  = Ϭ  (+)(+)   2)   Boussinesq’s Formula   σ z  =   ×   K b   Where Q = Point load K b  = If r= 0, then Kb = 0.478 3)   For rectangular and circular Loading use attached graph 4)   Settlement Formulae NCC OCC (If Ϭ o + ΔϬ  <= Ϭ c) 5)   Lateral Earth Pressure For loose backfill e-g, coarse grained For dense backfill =   (− Ф )  Kp =    Horizontal stress in active case= Ka x Ϫ  x z Active force = Area of respective pressure diagram Depth of tension crack = 2/(Ϫ√)   6)   Bearing capacity Terzaghi bearing capacity equation Shape Factor Circular Square Rectangular Sc 1.3 1.3 1 + 0.3B/L S Ϫ  0.6 0.8 1-0.2B/L Meyerhof  Water table effect on bearing capacity Case I (Figure a) If the groundwater table is located at a distance D above the bottom of the foundation, the magnitude of q in the second term of the bearing capacity equation should be calculated as Case II (Figure b) If the groundwater table coincides with the bottom of the foundation, the magnitude of q is equal to ƔDf. However, the unit weight, Ɣ, in the third term of the bearing capacity equations should be replaced by Ɣ’  Case III (Figure c) When the groundwater table is at a depth D below the bottom of the foundation, q = Ɣ Df . The magnitude of Ɣ in the third term of the bearing capacity equations should be replaced by Ɣav   Plate load Test For clays For sands
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