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A square concrete pile of 10 m length is driven into a deep layer of uniform homogeneous clay. Average unconfined compressive strength of the clay, determined through laboratory tests on undisturbed samples extracted from the clay layer, is 100 kPa. If the ultimate compressive load capacity of the driven pile is 632 kN, the required width of the pile i s ______ mm. (in integer)
(Bearing capacity factor Nc = 9; adhesion factor α = 0.7)
    Correct answer is '400'. Can you explain this answer?
    Most Upvoted Answer
    A square concrete pile of 10 m length is driven into a deep layer of u...
    Based on the given information, we can use the following formula to calculate the required width of the pile:

    Qu = A x Nc x c' + π x d x L x σa

    where:
    Qu = ultimate compressive load capacity of the pile = 632 kN
    A = cross-sectional area of the pile
    Nc = bearing capacity factor = 9
    c' = average unconfined compressive strength of the clay = 100 kPa
    d = diameter of the pile (since it is square, we can assume it to be the width)
    L = length of the pile = 10 m
    σa = adhesion factor

    Since the pile is square, the cross-sectional area can be calculated as:

    A = w^2

    where w is the width of the pile.

    Substituting the given values into the formula, we get:

    632 = w^2 x 9 x 100 + π x w x 10 x σa

    Simplifying and solving for w, we get:

    w^2 + (31.83 x σa)/π x w - 70.22 = 0

    Using the quadratic formula, we get:

    w = (-31.83 x σa)/(2π) + √[(31.83 x σa)/(2π)]^2 + 70.22

    Since the width has to be an integer, we can try different values of σa until we get a whole number for w.

    Let's start with σa = 100 kPa (the same as c'). Substituting this value into the equation, we get:

    w = (-31.83 x 100)/(2π) + √[(31.83 x 100)/(2π)]^2 + 70.22
    w = 288 mm (rounded to the nearest whole number)

    Therefore, the required width of the pile is 288 mm.
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    Community Answer
    A square concrete pile of 10 m length is driven into a deep layer of u...

    632 kN = 9 x 50 x B2 + 0.7 x 50 (4B x 10)
    B = 0.4 m
    B = 400 mm
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    A square concrete pile of 10 m length is driven into a deep layer of uniform homogeneous clay. Average unconfined compressive strength of the clay, determined through laboratory tests on undisturbed samples extracted from the clay layer, is 100 kPa. If the ultimate compressive load capacity of the driven pile is 632 kN, the required width of the pile i s ______ mm. (in integer)(Bearing capacity factor Nc = 9; adhesion factor α = 0.7)Correct answer is '400'. Can you explain this answer?
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    A square concrete pile of 10 m length is driven into a deep layer of uniform homogeneous clay. Average unconfined compressive strength of the clay, determined through laboratory tests on undisturbed samples extracted from the clay layer, is 100 kPa. If the ultimate compressive load capacity of the driven pile is 632 kN, the required width of the pile i s ______ mm. (in integer)(Bearing capacity factor Nc = 9; adhesion factor α = 0.7)Correct answer is '400'. 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 square concrete pile of 10 m length is driven into a deep layer of uniform homogeneous clay. Average unconfined compressive strength of the clay, determined through laboratory tests on undisturbed samples extracted from the clay layer, is 100 kPa. If the ultimate compressive load capacity of the driven pile is 632 kN, the required width of the pile i s ______ mm. (in integer)(Bearing capacity factor Nc = 9; adhesion factor α = 0.7)Correct answer is '400'. 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 square concrete pile of 10 m length is driven into a deep layer of uniform homogeneous clay. Average unconfined compressive strength of the clay, determined through laboratory tests on undisturbed samples extracted from the clay layer, is 100 kPa. If the ultimate compressive load capacity of the driven pile is 632 kN, the required width of the pile i s ______ mm. (in integer)(Bearing capacity factor Nc = 9; adhesion factor α = 0.7)Correct answer is '400'. Can you explain this answer?.
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