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The total horizontal and vertical stresses at a point X in a saturated  sandy medium are 170 kPa and 300 kPa, respectively. The static pore-water pressure is 30 kPa. At failure, the excess porewater pressure is measured to be 94.50 kPa, and the shear stresses on the vertical and horizontal planes passing through the point X are zero. Effective cohesion is 0 kPa and effective angle of internal friction is 36o. The shear strength (in kPa, up to two decimal places) at point X is __________.
    Correct answer is '(52.52)'. Can you explain this answer?
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    The total horizontal and vertical stresses at a point X in a saturated...



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    The total horizontal and vertical stresses at a point X in a saturated...
    Given data:
    - Total horizontal stress (σh) = 170 kPa
    - Total vertical stress (σv) = 300 kPa
    - Static pore-water pressure (u) = 30 kPa
    - Excess pore-water pressure (Δu) = 94.50 kPa
    - Shear stresses on vertical and horizontal planes passing through point X are zero
    - Effective cohesion (c') = 0 kPa
    - Effective angle of internal friction (φ) = 36°

    Calculating effective stresses:
    The effective vertical stress (σ've) is the difference between the total vertical stress and the pore-water pressure:
    σ've = σv - u
    = 300 kPa - 30 kPa
    = 270 kPa

    The effective horizontal stress (σ'he) is the difference between the total horizontal stress and the pore-water pressure:
    σ'he = σh - u
    = 170 kPa - 30 kPa
    = 140 kPa

    Calculating shear strength:
    The shear strength (τ) can be calculated using the Mohr-Coulomb equation:
    τ = c' + σ'tan(φ)

    Since the shear stresses on the vertical and horizontal planes passing through point X are zero, the shear strength is equal to the shear stress at failure.

    Calculating effective cohesion:
    The effective cohesion (c') is given as 0 kPa.

    Calculating effective angle of internal friction:
    The effective angle of internal friction (φ') is given as 36°.

    Calculating shear strength at point X:
    Using the Mohr-Coulomb equation, we can substitute the given values:
    τ = 0 + σ'tan(φ')
    = σ'tan(36°)

    Substituting the values of σ'he and σ've calculated earlier:
    τ = 140 kPa * tan(36°)
    = 140 kPa * 0.7265
    ≈ 101.71 kPa

    Therefore, the shear strength at point X is approximately 101.71 kPa, which is not equal to the given correct answer of 52.52 kPa.
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    The total horizontal and vertical stresses at a point X in a saturated sandy medium are 170 kPa and 300 kPa, respectively. The static pore-water pressure is 30 kPa. At failure, the excess porewater pressure is measured to be 94.50 kPa, and the shear stresses on the vertical and horizontalplanes passing through the point X are zero. Effective cohesion is 0 kPa and effective angle of internal friction is 36o. The shear strength (in kPa, up to two decimal places) at point X is __________.Correct answer is '(52.52)'. Can you explain this answer?
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    The total horizontal and vertical stresses at a point X in a saturated sandy medium are 170 kPa and 300 kPa, respectively. The static pore-water pressure is 30 kPa. At failure, the excess porewater pressure is measured to be 94.50 kPa, and the shear stresses on the vertical and horizontalplanes passing through the point X are zero. Effective cohesion is 0 kPa and effective angle of internal friction is 36o. The shear strength (in kPa, up to two decimal places) at point X is __________.Correct answer is '(52.52)'. 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 The total horizontal and vertical stresses at a point X in a saturated sandy medium are 170 kPa and 300 kPa, respectively. The static pore-water pressure is 30 kPa. At failure, the excess porewater pressure is measured to be 94.50 kPa, and the shear stresses on the vertical and horizontalplanes passing through the point X are zero. Effective cohesion is 0 kPa and effective angle of internal friction is 36o. The shear strength (in kPa, up to two decimal places) at point X is __________.Correct answer is '(52.52)'. 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 The total horizontal and vertical stresses at a point X in a saturated sandy medium are 170 kPa and 300 kPa, respectively. The static pore-water pressure is 30 kPa. At failure, the excess porewater pressure is measured to be 94.50 kPa, and the shear stresses on the vertical and horizontalplanes passing through the point X are zero. Effective cohesion is 0 kPa and effective angle of internal friction is 36o. The shear strength (in kPa, up to two decimal places) at point X is __________.Correct answer is '(52.52)'. Can you explain this answer?.
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