GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper

Question : 22 of 65

Marks: +1, -0

In a shrinkage limit test, the volume and mass of a dry soil pat are found to be

50 {cm}^{3}

and

88 {g}

. respectively. The specific gravity of the soil solids is

2.71

and the density of water is

1 {g} \/ {cc}

. The shrinkage limit (in \% up to two decimal places) is _____________.

Solution:

Dry soil mass

=88 {gm}

Volume of dry soil

=50 {cc}

Dry density of soil mass,

ρ_{d}=\;{M_{d}}/{V_{d}}=\;{88}/{50} {gm} \/ {cc}

∵

Shrinkage limit,

w_{s}=\;{1}/{R}-\;{1}/{G}=\;{1}/{(ρ_{d} {/} ρ_{w})}-\;{1}/{G}

w_{s}=\;{ρ_{ {w}}}/{ρ_{ {d}}}-\;{1}/{G}=\;{1}/{1.76}-\;{1}/{2.71}=0.1990=19.90 \%

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