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GATE CE 2022: Soil Mechanics & Foundation Engineering#4
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Question 1
The water table at a location is at the ground surface and the saturated unit weight of the soil is 19.5 kN/m3. If due to heavy precipitation, the water level rises to 1.5 m above the ground level, the increase in the vertical effective stress at a point 1.5 m below the ground surface will be
Question 2
At a site, the subsoil consists 6m thick layer of dry sand (e = 0.85, = 14.3 kN/ , = 0.14mm, = 18.9 kN/ ). The water table is located at 4m depth below G.L what is height of capillary rise (if C= 0.5) and effective stress at the point where dry sand and saturated sand meet?
Question 3
At a site, the subsoil consists 5m thick layer of dry sand (e = 0.78, = 15.2 kN/𝑚3, D10= 0.16 mm, = 19.4 kN/𝑚3). The water table is located at 3m depth below G.L what is height of capillary rise (if C = 0.5 cm2) and effective stress at the point where dry sand and saturated sand meet?
Question 4
The soil profile at a site up to a depth of 10 m is shown in the figure (not drawn to the scale). The soil is preloaded with a uniform surcharge (q) of 70 kN/m2 at the ground level. The water table is at a depth of 3 m below ground level. The soil unit weight of the respective layers is shown in the figure. Consider unit weight of water as 9 .81 kN/m3 and assume that the surcharge (q) is applied instantaneously.
Immediately after preloading, the effective stresses (in kPa) at points P and Q. respectively, are
Question 5
A clay layer 7m thick with saturated density of 2.25 gm/cm3 lies below a sand layer of thickness 12m with dry and saturated density of 1.75 gm/cm3 and 1.9 gm/cm3. On pumping, the water level drops from ground level to a depth of 5m and the degree of saturation of soil above water table becomes 15%. The change in effective stress at the centre of the clay layer due to pumping is _____ kN/m3.
Question 6
If the maximum effective stress at the middle of the clay layer can be 200kN/m2, find the maximum surcharge that can be applied at the top of the sand layer.
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