A rigid, reinforced concrete foundation is subjected to a column load of 87,000 lb. The foundation plan measures 8 ft X 8 ft and rests on 21 ft (= H') of layered soil underlain by rock. The soil layers have the following characteristics.

If the footing depth D_f  = 4 ft and μ_s = 0.4 for all layers, estimate the elastic settlement of the foundation. Use Eq. (11.14)

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Layer Type Loose sand Medium clay Dense sand Thickness (ft) E, (lb/in²) y (lb/ft³) 0-5 105 5-13 109 13-21 122 2200 980 9100