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Which of the following formulas explains the calculation of area of earthwork using its mean depth?
Area = BD + Sd2
Where, B = Breadth of section
D = Mean depth of section
Sd = Areas of sides
Area = BD + Sd2
Where, B = Breadth of section
D = Mean depth of section
Sd = Areas of sides
- a)Average area formula
- b)Prismoidal formula
- c)Trapezoidal formula
- d)Mid-section formula
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Which of the following formulas explains the calculation of area of ea...
The correct formula for calculating the area of earthwork using its mean depth is the Mid-section formula, which is represented by the equation:
Area = BD * Sd^2
Let's break down the components of this formula and understand their meanings:
1. B (Breadth of section): This refers to the width or breadth of the cross-sectional area of the earthwork. It is the distance perpendicular to the length of the section.
2. D (Mean depth of section): This represents the average depth of the cross-sectional area of the earthwork. It is calculated by dividing the total volume of the earthwork by the corresponding cross-sectional area.
3. Sd (Areas of sides): This term refers to the sum of the areas of the sides of the cross-sectional area. It is calculated by adding the areas of all the sides of the section.
Now, let's discuss the Mid-section formula in detail:
1. The Mid-section formula is commonly used in civil engineering to calculate the volume of earthwork. The volume of earthwork is obtained by multiplying the area of each cross-section by the corresponding distance between the sections and summing up these products.
2. In the Mid-section formula, the mean depth of the section is used to represent the average depth of the entire cross-sectional area. This mean depth is calculated by dividing the total volume of the earthwork by the corresponding cross-sectional area.
3. The term BD in the formula represents the product of the breadth of the section and the mean depth of the section. This product gives the average area of the section.
4. The term Sd^2 in the formula represents the sum of the areas of the sides of the section squared. This term takes into account the irregularities in the shape of the cross-section, such as slopes or embankments.
5. By multiplying the average area of the section (BD) with the sum of the areas of the sides squared (Sd^2), we obtain the total area of the earthwork.
The Mid-section formula is widely used because it provides a more accurate estimation of the area of earthwork, especially when the cross-section is irregular in shape. It takes into account the variations in depth and the irregularities in the sides of the section, resulting in a more precise calculation of the earthwork volume.
Area = BD * Sd^2
Let's break down the components of this formula and understand their meanings:
1. B (Breadth of section): This refers to the width or breadth of the cross-sectional area of the earthwork. It is the distance perpendicular to the length of the section.
2. D (Mean depth of section): This represents the average depth of the cross-sectional area of the earthwork. It is calculated by dividing the total volume of the earthwork by the corresponding cross-sectional area.
3. Sd (Areas of sides): This term refers to the sum of the areas of the sides of the cross-sectional area. It is calculated by adding the areas of all the sides of the section.
Now, let's discuss the Mid-section formula in detail:
1. The Mid-section formula is commonly used in civil engineering to calculate the volume of earthwork. The volume of earthwork is obtained by multiplying the area of each cross-section by the corresponding distance between the sections and summing up these products.
2. In the Mid-section formula, the mean depth of the section is used to represent the average depth of the entire cross-sectional area. This mean depth is calculated by dividing the total volume of the earthwork by the corresponding cross-sectional area.
3. The term BD in the formula represents the product of the breadth of the section and the mean depth of the section. This product gives the average area of the section.
4. The term Sd^2 in the formula represents the sum of the areas of the sides of the section squared. This term takes into account the irregularities in the shape of the cross-section, such as slopes or embankments.
5. By multiplying the average area of the section (BD) with the sum of the areas of the sides squared (Sd^2), we obtain the total area of the earthwork.
The Mid-section formula is widely used because it provides a more accurate estimation of the area of earthwork, especially when the cross-section is irregular in shape. It takes into account the variations in depth and the irregularities in the sides of the section, resulting in a more precise calculation of the earthwork volume.
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Community Answer
Which of the following formulas explains the calculation of area of ea...
Methods for measurement of earthwork:
1. Mid Section method 2. Trapezoidal Method 3. Prismoidal Method 4. Simpson's 3/8th rule
Mid Section Method:
In this method the quantity of earthwork is computed with the help of size of mid section.
1. Mid Section method 2. Trapezoidal Method 3. Prismoidal Method 4. Simpson's 3/8th rule
Mid Section Method:
In this method the quantity of earthwork is computed with the help of size of mid section.
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Which of the following formulas explains the calculation of area of earthwork using its mean depth?Area = BD + Sd2Where, B = Breadth of sectionD = Mean depth of sectionSd = Areas of sidesa)Average area formulab)Prismoidal formulac)Trapezoidal formulad)Mid-section formulaCorrect answer is option 'D'. Can you explain this answer?
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Which of the following formulas explains the calculation of area of earthwork using its mean depth?Area = BD + Sd2Where, B = Breadth of sectionD = Mean depth of sectionSd = Areas of sidesa)Average area formulab)Prismoidal formulac)Trapezoidal formulad)Mid-section formulaCorrect 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 Which of the following formulas explains the calculation of area of earthwork using its mean depth?Area = BD + Sd2Where, B = Breadth of sectionD = Mean depth of sectionSd = Areas of sidesa)Average area formulab)Prismoidal formulac)Trapezoidal formulad)Mid-section formulaCorrect 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 Which of the following formulas explains the calculation of area of earthwork using its mean depth?Area = BD + Sd2Where, B = Breadth of sectionD = Mean depth of sectionSd = Areas of sidesa)Average area formulab)Prismoidal formulac)Trapezoidal formulad)Mid-section formulaCorrect answer is option 'D'. Can you explain this answer?.
Which of the following formulas explains the calculation of area of earthwork using its mean depth?Area = BD + Sd2Where, B = Breadth of sectionD = Mean depth of sectionSd = Areas of sidesa)Average area formulab)Prismoidal formulac)Trapezoidal formulad)Mid-section formulaCorrect 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 Which of the following formulas explains the calculation of area of earthwork using its mean depth?Area = BD + Sd2Where, B = Breadth of sectionD = Mean depth of sectionSd = Areas of sidesa)Average area formulab)Prismoidal formulac)Trapezoidal formulad)Mid-section formulaCorrect 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 Which of the following formulas explains the calculation of area of earthwork using its mean depth?Area = BD + Sd2Where, B = Breadth of sectionD = Mean depth of sectionSd = Areas of sidesa)Average area formulab)Prismoidal formulac)Trapezoidal formulad)Mid-section formulaCorrect answer is option 'D'. Can you explain this answer?.
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