GATE Civil Engineering (CE) 2020 Shift 2 Solved Paper

Question : 45 of 65

Marks: +1, -0

A constant-head permeability test was conducted on a soil specimen under a hydraulic gradient of

2.5

. The soil specimen has specific gravity of

2.65

and saturated water content of

20 \%

. If the coefficient of permeability of the soil is

0.1 {cm} {/} {s}

, the seepage velocity (in

{cm}{/} {s}

, round off to two decimal places) through the soil specimen is

Solution:

V_{\;\text "discharge "\;}= {Ki}

=.1 × 2.5

=.25 {cm} {/} {sec}

{V}_{\;\text "seapage "\;}=\;{ {V}_{\;\text "discharge "\;}}/{ {n}}

{n}=\;{ {e}}/{1+ {e}}=\;{.53}/{1+.53}=.3464

{Se}=

1 {e}=.2 × 2.65

{e}=.53

{V}_{\;\text "seapage "\;}=\;{.25}/{.3464}

{V}_{\;\text "seapage "\;}=0.7217

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