\( S_e = q_\omega (a\beta') \frac{1 - \mu_s^2}{E_s} \cdot I_s \cdot I_f \)

\( I_S = F_1 + \frac{1 - 2\mu}{1 - \mu} F_2 \)

\( F_1 = \frac{1}{\pi}(A_0 + A_1) \)

\( F_2 = \frac {n'}{2\pi} \tan^{-1} A_2 \)

\( A_0 = m' \ln\left(\frac{(1+\sqrt{m^2 + 1}) \sqrt{m^2 + n^2}}{m'(1+\sqrt{m^2 + n^2 + 1})}\right) \)

\( A_1 = \ln\left(\frac{(1+\sqrt{m^2 + 1}) \sqrt{1+n^2}}{m' + \sqrt{m^2 + n^2 + 1}}\right) \)

\( A_2 = \frac{m'}{n' \sqrt{m^2 + n^2 + 1}} \)

α = a factor that depends on the location on the foundation where settlement

is being calculated

for settlement under the center: α=4, m’=L/B, n’=H/ (B/2)

for settlement under the corner: α=1, m’=L/B, n’=H/B

Fox 1948 Derinlik faktörü

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