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The estimated earthwork by the center line method for total center length = 40.10 m, breadth = 1.10 m and depth = 1 m is:
- a)44.11 cum
- b)38.89 cum
- c)42.90 cum
- d)22.22 cum
Correct answer is option 'A'. Can you explain this answer?
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The estimated earthwork by the center line method for total center len...
Given:
Total center length (L) = 40.10 m
Breadth (B) = 1.10 m
Depth (D) = 1 m
To find: Estimated earthwork by the center line method
Solution:
The center line method is used to estimate the earthwork volume for linear projects such as roads, canals, etc. It involves dividing the cross-section of the project into trapezoidal shapes and calculating the volume of each trapezoid.
Step 1: Calculate the cross-sectional area:
The cross-sectional area of each trapezoid can be calculated using the formula:
A = (B1 + B2) / 2 * D
Where,
A = Cross-sectional area
B1 = Bottom width of the trapezoid
B2 = Top width of the trapezoid
D = Depth of the trapezoid
In this case, the cross-sectional area is:
A = (1.10 + 1.10) / 2 * 1
A = 1.10 m²
Step 2: Calculate the volume:
The volume of each trapezoid can be calculated by multiplying the cross-sectional area with the distance along the center line. In this case, the distance along the center line is the total center length (L).
Volume = A * L
Volume = 1.10 m² * 40.10 m
Volume = 44.11 cubic meters
Therefore, the estimated earthwork by the center line method for the given parameters is 44.11 cubic meters, which corresponds to option 'A'.
Total center length (L) = 40.10 m
Breadth (B) = 1.10 m
Depth (D) = 1 m
To find: Estimated earthwork by the center line method
Solution:
The center line method is used to estimate the earthwork volume for linear projects such as roads, canals, etc. It involves dividing the cross-section of the project into trapezoidal shapes and calculating the volume of each trapezoid.
Step 1: Calculate the cross-sectional area:
The cross-sectional area of each trapezoid can be calculated using the formula:
A = (B1 + B2) / 2 * D
Where,
A = Cross-sectional area
B1 = Bottom width of the trapezoid
B2 = Top width of the trapezoid
D = Depth of the trapezoid
In this case, the cross-sectional area is:
A = (1.10 + 1.10) / 2 * 1
A = 1.10 m²
Step 2: Calculate the volume:
The volume of each trapezoid can be calculated by multiplying the cross-sectional area with the distance along the center line. In this case, the distance along the center line is the total center length (L).
Volume = A * L
Volume = 1.10 m² * 40.10 m
Volume = 44.11 cubic meters
Therefore, the estimated earthwork by the center line method for the given parameters is 44.11 cubic meters, which corresponds to option 'A'.
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Community Answer
The estimated earthwork by the center line method for total center len...
Volume of Sloped earthwork (V) = (bdm + sdm2) × L
Where, B = Width, dm = Mean depth and S = Side slope of the cross-section
Calculation:-
Volume of earthwork = 40.10 × 1.10 × 1 = 44.11 cum
Where, B = Width, dm = Mean depth and S = Side slope of the cross-section
Calculation:-
Volume of earthwork = 40.10 × 1.10 × 1 = 44.11 cum
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The estimated earthwork by the center line method for total center length = 40.10 m, breadth = 1.10 m and depth = 1 m is:a)44.11 cumb)38.89 cumc)42.90 cumd)22.22 cumCorrect answer is option 'A'. Can you explain this answer?
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The estimated earthwork by the center line method for total center length = 40.10 m, breadth = 1.10 m and depth = 1 m is:a)44.11 cumb)38.89 cumc)42.90 cumd)22.22 cumCorrect answer is option 'A'. 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 estimated earthwork by the center line method for total center length = 40.10 m, breadth = 1.10 m and depth = 1 m is:a)44.11 cumb)38.89 cumc)42.90 cumd)22.22 cumCorrect answer is option 'A'. 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 estimated earthwork by the center line method for total center length = 40.10 m, breadth = 1.10 m and depth = 1 m is:a)44.11 cumb)38.89 cumc)42.90 cumd)22.22 cumCorrect answer is option 'A'. Can you explain this answer?.
The estimated earthwork by the center line method for total center length = 40.10 m, breadth = 1.10 m and depth = 1 m is:a)44.11 cumb)38.89 cumc)42.90 cumd)22.22 cumCorrect answer is option 'A'. 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 estimated earthwork by the center line method for total center length = 40.10 m, breadth = 1.10 m and depth = 1 m is:a)44.11 cumb)38.89 cumc)42.90 cumd)22.22 cumCorrect answer is option 'A'. 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 estimated earthwork by the center line method for total center length = 40.10 m, breadth = 1.10 m and depth = 1 m is:a)44.11 cumb)38.89 cumc)42.90 cumd)22.22 cumCorrect answer is option 'A'. Can you explain this answer?.
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