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.A saturated soil has a compression index of 0.25. Its void ratio at a stress of 10 kN/m² is 2.02 and its permeability is 3.4 x 10-7mm/s. Compute: (1) Change in void ratio if the stress is increased to 19 kN/m²; (ii) Settlement in () if the soil stratum is 5 m thick; and (iii) Time required for 40% consolidation if drainage is one-way?
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.A saturated soil has a compression index of 0.25. Its void ratio at a...
Calculation of Change in Void Ratio

  • The initial void ratio (e1) at a stress of 10 kN/m² is 2.02.

  • The compression index (Cc) of the soil is 0.25.

  • The change in stress (Δσ) is 19 kN/m² - 10 kN/m² = 9 kN/m².

  • Using the formula, Δe = Cc x log1021), where σ1 = 10 kN/m² and σ2 = 19 kN/m²:


Δe = 0.25 x log10(19/10) = 0.055


Calculation of Settlement

  • The settlement of the soil can be calculated using the formula, S = (ΔHc/Ho) x 100%, where ΔHc is the change in thickness of the soil layer and Ho is the initial thickness.

  • The change in thickness (ΔHc) can be calculated using the equation, ΔHc = Cc x Δσ x Ho / (1 + eo) where eo is the initial void ratio.

  • Substituting the values, ΔHc = 0.25 x 9 x 5 / (1 + 2.02) = 0.69 m.

  • Therefore, S = (0.69 / 5) x 100% = 13.8%.



Calculation of Time Required for Consolidation

  • The time required for consolidation can be calculated using the equation, t50 = (0.197H2o) / k where Ho is the initial thickness and k is the coefficient of permeability.

  • Since drainage is one-way, the coefficient of permeability (k) needs to be multiplied by a factor of 2.5.

  • Substituting the values, t50 = (0.197 x 52) / (3.4 x 10-7 x 2.5) = 2318 seconds or 38.6 minutes.

  • However, since the problem asks for the time required for 40% consolidation, we need to use the equation, t40 = 0.67 x t50.

  • Therefore, t40 = 0.67 x 2318 = 1554 seconds or 25.9 minutes.

Community Answer
.A saturated soil has a compression index of 0.25. Its void ratio at a...
(i) 0.0697 (ii) 115.348 mm (iii) 2693 Days
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.A saturated soil has a compression index of 0.25. Its void ratio at a stress of 10 kN/m² is 2.02 and its permeability is 3.4 x 10-7mm/s. Compute: (1) Change in void ratio if the stress is increased to 19 kN/m²; (ii) Settlement in () if the soil stratum is 5 m thick; and (iii) Time required for 40% consolidation if drainage is one-way?
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.A saturated soil has a compression index of 0.25. Its void ratio at a stress of 10 kN/m² is 2.02 and its permeability is 3.4 x 10-7mm/s. Compute: (1) Change in void ratio if the stress is increased to 19 kN/m²; (ii) Settlement in () if the soil stratum is 5 m thick; and (iii) Time required for 40% consolidation if drainage is one-way? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about .A saturated soil has a compression index of 0.25. Its void ratio at a stress of 10 kN/m² is 2.02 and its permeability is 3.4 x 10-7mm/s. Compute: (1) Change in void ratio if the stress is increased to 19 kN/m²; (ii) Settlement in () if the soil stratum is 5 m thick; and (iii) Time required for 40% consolidation if drainage is one-way? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for .A saturated soil has a compression index of 0.25. Its void ratio at a stress of 10 kN/m² is 2.02 and its permeability is 3.4 x 10-7mm/s. Compute: (1) Change in void ratio if the stress is increased to 19 kN/m²; (ii) Settlement in () if the soil stratum is 5 m thick; and (iii) Time required for 40% consolidation if drainage is one-way?.
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