A 3 {m} high vertical earth retaining wall retains a dry granular backfill with angle of internal friction of 30^{\circ} and unit weight of 20 {kN} {/} {m}^{3}. If the wall is prevented from yielding (no movement), the total horizontal thrust (in kN per unit length) on the wall is

GATE Civil Engineering (CE) 2018 Shift 2 Solved Paper

Question : 42 of 65

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3 {m}

high vertical earth retaining wall retains a dry granular backfill with angle of internal friction of

30^{∘}

and unit weight of

20 {kN} {/} {m}^{3}

. If the wall is prevented from yielding (no movement), the total horizontal thrust (in kN per unit length) on the wall is

Solution:

Soil is dry sand

∴ \;\; {K}_{0}=1-\sin φ=1-\sin 30^{∘}=0.5

Total horizontal thrust

P_{0}=\;{1}/{2} K_{0} γ H ⋅ H=\;{1}/{2} × \;{1}/{2} × 20 × 3^{2}=45 {kN} {/} {m}

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