SSC JE Civil Engineering 29-Oct-2020 Shift 1 Paper

Question : 148 of 200

Marks: +1, -0

A retaining wall with vertical back retains a mass of cohesion-less soil, surface of which is level with top of the wall. Active lateral earth pressure coefficient (in terms of

'\ϕ'

) i.e. angle of internal friction of backfill is given by:

${1-\sin \ϕ}/{1+\sin \ϕ}$ or $\tan ^{2}(45°+{\ϕ}/{2})$
${1-\sin \ϕ}/{1+\sin \ϕ}$ or $\tan ^{2}(45°-{\ϕ}/{2})$
${1+\sin \ϕ}/{1-\sin \ϕ}$ or $\tan ^{2}(45°-{\ϕ}/{2})$
${1+\sin \ϕ}/{1-\sin \ϕ}$ or $\tan ^{2}(45°+{\ϕ}/{2})$

Validate

Solution:

The active earth pressure of soil at a depth “H” is given by:

p_{a}=k_{a} \γ\H

where,

{\k}_{{\a}}=

Active earth pressure coefficient

{\Y}=

unit weight of soil

{\H}=

Depth of soil strata

\k_\a={1-\sin \ϕ}/{1+\sin \ϕ}

=\tan ^{2}(45°-{\ϕ}/{2})

\ϕ =

Angle of internal friction of soil

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