GATE Civil Engineering (CE) 2020 Shift 2 Solved Paper

Question : 27 of 65

Marks: +1, -0

A soil has dry unit weight of

15.5 {kN} {/} {m}^{3}

, specific gravity of

2.65

and degree of saturation of

72 \%

. Considering the unit weight of water as

10 {kN} {/} {m}^{3}

, the water content of the soil (in

\%

, round off to two decimal places) is___________.

Solution:

Y_{d}=15.5 {kN} {/} {m}^{3}

G=2.65

S=.72

Y_{w}=10 {kN} {/} {m}^{3}

w=?

γ_{d}=\;{G y_{w}}/{1+e}

15.5=\;{2.65 × 10}/{1+e}

e=.7096

S e=w G

0.72 × 0.7096=w × 2.65

w=0.1927=19.27 \%

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