EGB373-TUT 11-Week 12 - Shear Strength of Soils -3 - Answers-Gray

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Queensland University of Technology *

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Mechanical Engineering

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Oct 30, 2023

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Rapid Drawdown Before rapid drawdown, the dam is under steady state seepage which is well settled ground condition (consolidated). The rapid/sudden drawdown will create undrained condition in the upstream slope and that will lead to slope failure in the upstream. To analyse the stability of upstream slope during rapid/sudden drawdown, Shear strength parameters obtained from CU (consolidated undrained) tests are needed: c cu and f cu
During sudden drawdown of reservoir water level, undrained (Total) stress parameters are required. For undrained test; 𝟐 𝟐 Test No σ 3f (kN/m 2 ) ε f (%) P f (N) A (m 2 ) ₓ 10 -3 Δσ d (kN/m 2 ) 1 75 5.0 89 2.066 43.1 2 150 6.1 180 2.091 86.1 3 225 5.8 220 2.084 105.6
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Test No σ 3f (kN/m 2 ) Δσ d (kN/m 2 ) σ 1f (kN/m 2 ) Centre of MC 𝝈 𝟏𝒇 ା𝝈 𝟑𝒇 𝟐 (kN/m 2 ) Radius of MC 𝝈 𝟏𝒇 ି𝝈 𝟑𝒇 𝟐 (kN/m 2 ) 1 75 43.1 118.1 96.6 21.6 2 150 86.1 236.1 193.1 43.1 3 225 105.6 330.6 277.8 52.8 ଵ௙ ଷ௙
50 100 150 200 250 50 100 150 σ (kN/m 2 ) 𝜏 (kN/m 2 ) 300 350 A B C cu = 0 kPa From Figure, A ≡ (0,0), B ≡ (350,75) ௖௨ (଻ହି଴) (ଷହ଴ି଴) => ௖௨ ିଵ ଻ହ ଷହ଴ 0
h =184 mm = 22.2 Nm PI = 47% C u (design) = λ C u (vane shear) λ = 1.7 – 0.54 log (PI) λ = 1.7 – 0.54 log (47) = 0.797 C u (design) = λ C u (vane shear) = 0.797 * 7.78 = 6.2 kN/m 2
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q c = 7 MPa f s = 185 kPa
7 𝑐 Soil is : Silty Sand
𝑣𝑜 Assume N k =13.5; ିఙ ೡ೚ = ଻଴଴଴ ିଶସ଴ ଵଷ.ହ 𝑐
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