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Determine the approximate quantity of earthwork for a road in embankment having a length of 120 m on a uniform level ground. The width of formation is 10 m and side slopes are 3 ∶ 1. The heights of the bank at the ends are 1 m and 1.5 m, respectively. Use trapezoidal method considering average of areas at the two ends.
- a)1785 m3
- b)1485 m3
- c)1885 m3
- d)2085 m3
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Determine the approximate quantity of earthwork for a road in embankme...
Given:
- Length of road in embankment = 120 m
- Width of formation = 10 m
- Side slopes = 3:1
- Height of bank at one end = 1 m
- Height of bank at the other end = 1.5 m
To find:
Approximate quantity of earthwork for the road in embankment
Assumptions:
- The road is on a uniform level ground.
- The side slopes are symmetrical.
Approach:
- Divide the road into two sections: one with a height of 1 m and the other with a height of 1.5 m.
- Calculate the average height of the two sections.
- Use the trapezoidal method to find the volume of each section.
- Add the volumes of both sections to get the total earthwork quantity.
Calculation:
Section 1: Height = 1 m
- Average height = (1 + 1) / 2 = 1 m
- Area of the trapezoid = (1 + 1) / 2 * 10 = 10 m² (width of formation is considered as the top width)
- Volume of section 1 = 10 m² * 120 m = 1200 m³
Section 2: Height = 1.5 m
- Average height = (1.5 + 1.5) / 2 = 1.5 m
- Area of the trapezoid = (1 + 1.5) / 2 * 10 = 15 m² (width of formation is considered as the top width)
- Volume of section 2 = 15 m² * 120 m = 1800 m³
Total volume:
- Total volume = Volume of section 1 + Volume of section 2 = 1200 m³ + 1800 m³ = 3000 m³
Therefore, the approximate quantity of earthwork for the road in embankment is 3000 m³.
Answer:
Option d) 3000 m³
- Length of road in embankment = 120 m
- Width of formation = 10 m
- Side slopes = 3:1
- Height of bank at one end = 1 m
- Height of bank at the other end = 1.5 m
To find:
Approximate quantity of earthwork for the road in embankment
Assumptions:
- The road is on a uniform level ground.
- The side slopes are symmetrical.
Approach:
- Divide the road into two sections: one with a height of 1 m and the other with a height of 1.5 m.
- Calculate the average height of the two sections.
- Use the trapezoidal method to find the volume of each section.
- Add the volumes of both sections to get the total earthwork quantity.
Calculation:
Section 1: Height = 1 m
- Average height = (1 + 1) / 2 = 1 m
- Area of the trapezoid = (1 + 1) / 2 * 10 = 10 m² (width of formation is considered as the top width)
- Volume of section 1 = 10 m² * 120 m = 1200 m³
Section 2: Height = 1.5 m
- Average height = (1.5 + 1.5) / 2 = 1.5 m
- Area of the trapezoid = (1 + 1.5) / 2 * 10 = 15 m² (width of formation is considered as the top width)
- Volume of section 2 = 15 m² * 120 m = 1800 m³
Total volume:
- Total volume = Volume of section 1 + Volume of section 2 = 1200 m³ + 1800 m³ = 3000 m³
Therefore, the approximate quantity of earthwork for the road in embankment is 3000 m³.
Answer:
Option d) 3000 m³
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Community Answer
Determine the approximate quantity of earthwork for a road in embankme...
Volume of Sloped earthwork (V) = (bd + sd2) × L
Where, B = Width, d = Depth and S = Side slope of the cross-section
Calculation:
Given,
slope = s: 1 = 3: 1
b = 10 m
L = 120 m
d1 = 1.5 m and d2 = 1 m
Volume of Sloped earthwork (V) = (bd + sd2) × L
The approximate quantity of earthwork = 2085 m3
Where, B = Width, d = Depth and S = Side slope of the cross-section
Calculation:
Given,
slope = s: 1 = 3: 1
b = 10 m
L = 120 m
d1 = 1.5 m and d2 = 1 m
Volume of Sloped earthwork (V) = (bd + sd2) × L
The approximate quantity of earthwork = 2085 m3
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Determine the approximate quantity of earthwork for a road in embankment having a length of 120 m on a uniform level ground. The width of formation is 10 m and side slopes are 3 1. The heights of the bank at the ends are 1 m and 1.5 m, respectively. Use trapezoidal method considering average of areas at the two ends.a)1785 m3b)1485 m3c)1885 m3d)2085 m3Correct answer is option 'D'. Can you explain this answer?
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Determine the approximate quantity of earthwork for a road in embankment having a length of 120 m on a uniform level ground. The width of formation is 10 m and side slopes are 3 1. The heights of the bank at the ends are 1 m and 1.5 m, respectively. Use trapezoidal method considering average of areas at the two ends.a)1785 m3b)1485 m3c)1885 m3d)2085 m3Correct answer is option 'D'. 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 Determine the approximate quantity of earthwork for a road in embankment having a length of 120 m on a uniform level ground. The width of formation is 10 m and side slopes are 3 1. The heights of the bank at the ends are 1 m and 1.5 m, respectively. Use trapezoidal method considering average of areas at the two ends.a)1785 m3b)1485 m3c)1885 m3d)2085 m3Correct answer is option 'D'. 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 Determine the approximate quantity of earthwork for a road in embankment having a length of 120 m on a uniform level ground. The width of formation is 10 m and side slopes are 3 1. The heights of the bank at the ends are 1 m and 1.5 m, respectively. Use trapezoidal method considering average of areas at the two ends.a)1785 m3b)1485 m3c)1885 m3d)2085 m3Correct answer is option 'D'. Can you explain this answer?.
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ample number of questions to practice Determine the approximate quantity of earthwork for a road in embankment having a length of 120 m on a uniform level ground. The width of formation is 10 m and side slopes are 3 1. The heights of the bank at the ends are 1 m and 1.5 m, respectively. Use trapezoidal method considering average of areas at the two ends.a)1785 m3b)1485 m3c)1885 m3d)2085 m3Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
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