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For a vertical cut 5 m deep in soil, find the maximum depth(in m) of excavation left unsupported when ∅’ = 17.2o, C' = 1.91 t/m2 and γ = 1.74 t/m2. (Answer up to two decimal places
Correct answer is '5.96'. Can you explain this answer?
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For a vertical cut 5 m deep in soil, find the maximum depth(in m) of e...
For a vertical cut in soil, the maximum depth of excavation left unsupported is determined by the angle of repose of the soil. The angle of repose is the steepest angle at which the soil can remain stable without collapsing.
Assuming the soil has a uniform angle of repose, we can use the trigonometric relation between the angle of repose and the depth of excavation to find the maximum depth.
Let's assume the angle of repose is denoted by θ.
In a right triangle, the opposite side is the depth of excavation (5m) and the adjacent side is the maximum depth of unsupported excavation (let's call it x).
Using the tangent function, we can express this relationship as:
tan(θ) = 5/x
To find x, we can rearrange the equation:
x = 5/tan(θ)
Therefore, the maximum depth of excavation left unsupported (x) is equal to 5 divided by the tangent of the angle of repose (θ).
Assuming the soil has a uniform angle of repose, we can use the trigonometric relation between the angle of repose and the depth of excavation to find the maximum depth.
Let's assume the angle of repose is denoted by θ.
In a right triangle, the opposite side is the depth of excavation (5m) and the adjacent side is the maximum depth of unsupported excavation (let's call it x).
Using the tangent function, we can express this relationship as:
tan(θ) = 5/x
To find x, we can rearrange the equation:
x = 5/tan(θ)
Therefore, the maximum depth of excavation left unsupported (x) is equal to 5 divided by the tangent of the angle of repose (θ).
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For a vertical cut 5 m deep in soil, find the maximum depth(in m) of e...
Given: ∅’ = 17.2o, C' = 1.91 t/m2 = 19.1 kN/m2
and γ = 1.74 t/m2 = 17.4 kN/m2
= 45o + 8.6o
= 53.6o
Maximum depth of excavation left unsupported is
H = 2Z0
= 2(2.98) = 5.96
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For a vertical cut 5 m deep in soil, find the maximum depth(in m) of excavation left unsupported when ∅’ = 17.2o, C = 1.91 t/m2 and γ = 1.74 t/m2. (Answer up to two decimal placesCorrect answer is '5.96'. Can you explain this answer?
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For a vertical cut 5 m deep in soil, find the maximum depth(in m) of excavation left unsupported when ∅’ = 17.2o, C = 1.91 t/m2 and γ = 1.74 t/m2. (Answer up to two decimal placesCorrect answer is '5.96'. 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 For a vertical cut 5 m deep in soil, find the maximum depth(in m) of excavation left unsupported when ∅’ = 17.2o, C = 1.91 t/m2 and γ = 1.74 t/m2. (Answer up to two decimal placesCorrect answer is '5.96'. 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 For a vertical cut 5 m deep in soil, find the maximum depth(in m) of excavation left unsupported when ∅’ = 17.2o, C = 1.91 t/m2 and γ = 1.74 t/m2. (Answer up to two decimal placesCorrect answer is '5.96'. Can you explain this answer?.
For a vertical cut 5 m deep in soil, find the maximum depth(in m) of excavation left unsupported when ∅’ = 17.2o, C = 1.91 t/m2 and γ = 1.74 t/m2. (Answer up to two decimal placesCorrect answer is '5.96'. 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 For a vertical cut 5 m deep in soil, find the maximum depth(in m) of excavation left unsupported when ∅’ = 17.2o, C = 1.91 t/m2 and γ = 1.74 t/m2. (Answer up to two decimal placesCorrect answer is '5.96'. 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 For a vertical cut 5 m deep in soil, find the maximum depth(in m) of excavation left unsupported when ∅’ = 17.2o, C = 1.91 t/m2 and γ = 1.74 t/m2. (Answer up to two decimal placesCorrect answer is '5.96'. Can you explain this answer?.
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