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A slope is to be constructed at an angle of 300 to the horizontal from a soil having properties, e = 20 kN/ m2, φ = 300, γ= 19 kN/m3. Taylor’s stability numbers is 0.05. If the factor of safety of 1.5 is required, then the safe height of the slope (in m) will be______
(Important - Enter only the numerical value in the answer)
    Correct answer is '14.04'. Can you explain this answer?
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    - **Given Parameters**
    The given parameters are:
    - e = 20 kN/m2
    - φ = 30°
    - γ = 19 kN/m3
    - Taylor’s stability number = 0.05
    - Factor of safety = 1.5
    - **Calculations**
    Using the Taylor's stability number formula:
    \[ FS = \frac{e + γH \tan\phi;}{γH} \]
    Substitute the given values and rearrange the formula to solve for the height (H):
    \[ 1.5 = \frac{20 + 19H \tan30°}{19H} \]
    \[ H = \frac{20}{19(1.5 - \tan30°)} \]
    \[ H ≈ 14.04 m \]
    - **Conclusion**
    Therefore, the safe height of the slope should be approximately 14.04 meters to achieve a factor of safety of 1.5.
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    A slope is to be constructed at anangle of 300 to the horizontal froma soil having properties, e = 20 kN/m2, φ = 300, γ= 19 kN/m3. Taylor’sstability numbers is 0.05. If thefactor of safety of 1.5 is required,then the safe height of the slope (inm) will be______(Important - Enter only the numerical value in the answer)Correct answer is '14.04'. Can you explain this answer?
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    A slope is to be constructed at anangle of 300 to the horizontal froma soil having properties, e = 20 kN/m2, φ = 300, γ= 19 kN/m3. Taylor’sstability numbers is 0.05. If thefactor of safety of 1.5 is required,then the safe height of the slope (inm) will be______(Important - Enter only the numerical value in the answer)Correct answer is '14.04'. Can you explain this answer? 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 slope is to be constructed at anangle of 300 to the horizontal froma soil having properties, e = 20 kN/m2, φ = 300, γ= 19 kN/m3. Taylor’sstability numbers is 0.05. If thefactor of safety of 1.5 is required,then the safe height of the slope (inm) will be______(Important - Enter only the numerical value in the answer)Correct answer is '14.04'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A slope is to be constructed at anangle of 300 to the horizontal froma soil having properties, e = 20 kN/m2, φ = 300, γ= 19 kN/m3. Taylor’sstability numbers is 0.05. If thefactor of safety of 1.5 is required,then the safe height of the slope (inm) will be______(Important - Enter only the numerical value in the answer)Correct answer is '14.04'. Can you explain this answer?.
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