GATE Papers >> Civil >> 2017 >> Question No 121

Question No. 121 Civil | GATE 2017

A sheet pile has an embedment depth of 12 m in a homogeneous soil stratum. The coefficient of permeabilty of soil is 10-6 m/s. Diffrence in the water levels between the sides of the sheet pile is 4 m. The flow net is constructed with five number of flow lines and eleven number of equipotential lines. The quantity of seepage (in cm3/s per m, up to one decimal place) under the sheet pile is___________


Answer : 1.6 to 1.6


Solution of Question No 121 of GATE 2017 Civil Paper

 K = 10-6 m/s

Nf = 5 - 1 = 4

Nd = 11 - 1 = 10

$\mathrm Q=\frac{{\mathrm{kHN}}_\mathrm f}{{\mathrm N}_\mathrm D}$

= 10-6 m/s x 4m x$\frac4{10}$ per meter width

= 1.6 x 10-6 m3/s/m width

= 1.6 cm3/s/meter width

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