GATE CE 2016 Set 2 — Question 54

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NAT+2 / -0HardTerzaghi's Bearing CapacityShallow FoundationsGeotechnical EngineeringEffect of Water Table

Geotechnical Engineering → Shallow Foundations → Effect of Water Table

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A 4 m wide strip footing is founded at a depth of 1.5 m below the ground surface in a cϕc-\phi soil as shown in the figure. The water table is at a depth of 5.5 m below ground surface. The soil properties are: c=35 kN/m2c' = 35\text{ kN/m}^2, ϕ=28.63\phi' = 28.63^\circ, γsat=19 kN/m3\gamma_{sat} = 19\text{ kN/m}^3, γbulk=17 kN/m3\gamma_{bulk} = 17\text{ kN/m}^3 and γw=9.81 kN/m3\gamma_w = 9.81\text{ kN/m}^3. The values of bearing capacity factors for different ϕ\phi' are given below.
ϕ\phi'NcN_cNqN_qNγN_\gamma
1515^\circ12.94.42.5
2020^\circ17.77.45.0
2525^\circ25.112.79.7
3030^\circ37.222.519.7
Using Terzaghi's bearing capacity equation and a factor of safety Fs=2.5F_s = 2.5, the net safe bearing capacity (expressed in kN/m2\text{kN/m}^2) for local shear failure of the soil is __________
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