# Rapport - Stiftelsen Bergteknisk Forskning

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Using equation attached I get an value of 0.866 Equation was proposed by Terzaghi and assumes that the factors N c, N q and N γ can be obtained by superposition. The soil is treated as weightless when computing N c and N q (i.e., q ≠ 0, c ≠ 0, γ = 0) and as ponderable but having no cohesion or surcharge when calculating N γ (i.e., q = 0, c = 0, γ ≠ 0). N c N q N γ: Terzaghi’s bearing capacity factors $$N_{c}^{\prime } ,N_{q}^{\prime } ,N_{\gamma }^{\prime }$$: Bearing capacity factors for ring footing.

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Solution: From Table 1 or Figure 1, Nc = 17.7, Nq = 7.4, Nr = 5.0 for f = 20 degree. Determine ultimate soil bearing capacity using Terzaghi’s bearing capacity equation for circular footing. Qu = 1.3 c Nc + g D Nq + 0.3 g B N g = 1.3x500x17.7 +100x2x7.4+0.3x100x10x5.0 = 17985 lbs/ft 2 Terzaghi’s Bearing Capacity Factors: Terzaghi found that bearing capacity factors N c, N q, and N γ are functions of ɸ, the angle of shearing resistance of soil. The values of N c, N q and N γ as given by Terzaghi are shown in Table 18.1. Assumptions in Terzaghi’s Theory of Bearing Capacity: N γ = 2 ( N q + 1) tan ⁡ ϕ ′ 1 + 0.4 sin ⁡ 4 ϕ ′ {\displaystyle N_ {\gamma }= {\frac {2\left (N_ {q}+1\right)\tan \phi '} {1+0.4\sin 4\phi '}}} For foundations that exhibit the local shear failure mode in soils, Terzaghi suggested the following modifications to the previous equations.

the corresponding compactive efforts are shown in Table 2, where. CE = V. N qu = Terzaghi's ultimate bearing capacity, c= Soil cohesion, γ= Unit weight of soil   Terzaghi's bearing capacity factors Nc, Nq and Nr are functions of a) cohesion only b) angle of internal friction only c) both cohesion and angle of internal friction   Bearing capacity factors for the Terzaghi equations. 29.
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