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In the leveling between two points A and B on the opposite sides of a pond, the level is first set up near the point A and staff reading on A and B are 2.5 m and 2.0 m respectively. Then the level is moved and set near the point B, staff reading on points A and B are 1.2 m and 1.7 m respectively. Calculate the difference of heights between the two points A and B (in metre).?
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In the leveling between two points A and B on the opposite sides of a ...
Given information:
- Staff reading on point A (near point A) = 2.5 m
- Staff reading on point B (near point A) = 2.0 m
- Staff reading on point A (near point B) = 1.2 m
- Staff reading on point B (near point B) = 1.7 m
Assumptions:
- The level of the instrument is the same in both setups.
- The staff was held vertically and accurately at both points.
Calculation:
To calculate the height difference between points A and B, we can use the height of instrument method. This method compares the staff readings at the two points to determine the difference in elevation.
1. Calculate the height of instrument (HI) for the first setup:
- HI = Staff reading on A (2.5 m) + Backsight (BS)
- Backsight (BS) is the staff reading taken on a point of known elevation. Since the level was initially set up near point A, we can assume that the staff reading on A (2.5 m) is the backsight.
- Therefore, HI = 2.5 m + 2.5 m = 5.0 m
2. Calculate the Reduced Level (RL) of point B in the first setup:
- RL of B = HI - Staff reading on B
- RL of B = 5.0 m - 2.0 m = 3.0 m
3. Calculate the height of instrument (HI) for the second setup:
- HI = Staff reading on B (1.7 m) + Backsight (BS)
- Backsight (BS) is the staff reading taken on a point of known elevation. Since the level was moved and set up near point B, we can assume that the staff reading on B (1.7 m) is the backsight.
- Therefore, HI = 1.7 m + 1.7 m = 3.4 m
4. Calculate the Reduced Level (RL) of point A in the second setup:
- RL of A = HI - Staff reading on A
- RL of A = 3.4 m - 1.2 m = 2.2 m
5. Calculate the difference in heights between points A and B:
- Height difference = RL of B - RL of A
- Height difference = 3.0 m - 2.2 m = 0.8 m
Therefore, the height difference between points A and B is 0.8 meters.
- Staff reading on point A (near point A) = 2.5 m
- Staff reading on point B (near point A) = 2.0 m
- Staff reading on point A (near point B) = 1.2 m
- Staff reading on point B (near point B) = 1.7 m
Assumptions:
- The level of the instrument is the same in both setups.
- The staff was held vertically and accurately at both points.
Calculation:
To calculate the height difference between points A and B, we can use the height of instrument method. This method compares the staff readings at the two points to determine the difference in elevation.
1. Calculate the height of instrument (HI) for the first setup:
- HI = Staff reading on A (2.5 m) + Backsight (BS)
- Backsight (BS) is the staff reading taken on a point of known elevation. Since the level was initially set up near point A, we can assume that the staff reading on A (2.5 m) is the backsight.
- Therefore, HI = 2.5 m + 2.5 m = 5.0 m
2. Calculate the Reduced Level (RL) of point B in the first setup:
- RL of B = HI - Staff reading on B
- RL of B = 5.0 m - 2.0 m = 3.0 m
3. Calculate the height of instrument (HI) for the second setup:
- HI = Staff reading on B (1.7 m) + Backsight (BS)
- Backsight (BS) is the staff reading taken on a point of known elevation. Since the level was moved and set up near point B, we can assume that the staff reading on B (1.7 m) is the backsight.
- Therefore, HI = 1.7 m + 1.7 m = 3.4 m
4. Calculate the Reduced Level (RL) of point A in the second setup:
- RL of A = HI - Staff reading on A
- RL of A = 3.4 m - 1.2 m = 2.2 m
5. Calculate the difference in heights between points A and B:
- Height difference = RL of B - RL of A
- Height difference = 3.0 m - 2.2 m = 0.8 m
Therefore, the height difference between points A and B is 0.8 meters.
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In the leveling between two points A and B on the opposite sides of a pond, the level is first set up near the point A and staff reading on A and B are 2.5 m and 2.0 m respectively. Then the level is moved and set near the point B, staff reading on points A and B are 1.2 m and 1.7 m respectively. Calculate the difference of heights between the two points A and B (in metre).?
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In the leveling between two points A and B on the opposite sides of a pond, the level is first set up near the point A and staff reading on A and B are 2.5 m and 2.0 m respectively. Then the level is moved and set near the point B, staff reading on points A and B are 1.2 m and 1.7 m respectively. Calculate the difference of heights between the two points A and B (in metre).? 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 In the leveling between two points A and B on the opposite sides of a pond, the level is first set up near the point A and staff reading on A and B are 2.5 m and 2.0 m respectively. Then the level is moved and set near the point B, staff reading on points A and B are 1.2 m and 1.7 m respectively. Calculate the difference of heights between the two points A and B (in metre).? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the leveling between two points A and B on the opposite sides of a pond, the level is first set up near the point A and staff reading on A and B are 2.5 m and 2.0 m respectively. Then the level is moved and set near the point B, staff reading on points A and B are 1.2 m and 1.7 m respectively. Calculate the difference of heights between the two points A and B (in metre).?.
In the leveling between two points A and B on the opposite sides of a pond, the level is first set up near the point A and staff reading on A and B are 2.5 m and 2.0 m respectively. Then the level is moved and set near the point B, staff reading on points A and B are 1.2 m and 1.7 m respectively. Calculate the difference of heights between the two points A and B (in metre).? 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 In the leveling between two points A and B on the opposite sides of a pond, the level is first set up near the point A and staff reading on A and B are 2.5 m and 2.0 m respectively. Then the level is moved and set near the point B, staff reading on points A and B are 1.2 m and 1.7 m respectively. Calculate the difference of heights between the two points A and B (in metre).? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the leveling between two points A and B on the opposite sides of a pond, the level is first set up near the point A and staff reading on A and B are 2.5 m and 2.0 m respectively. Then the level is moved and set near the point B, staff reading on points A and B are 1.2 m and 1.7 m respectively. Calculate the difference of heights between the two points A and B (in metre).?.
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In the leveling between two points A and B on the opposite sides of a pond, the level is first set up near the point A and staff reading on A and B are 2.5 m and 2.0 m respectively. Then the level is moved and set near the point B, staff reading on points A and B are 1.2 m and 1.7 m respectively. Calculate the difference of heights between the two points A and B (in metre).?, a detailed solution for In the leveling between two points A and B on the opposite sides of a pond, the level is first set up near the point A and staff reading on A and B are 2.5 m and 2.0 m respectively. Then the level is moved and set near the point B, staff reading on points A and B are 1.2 m and 1.7 m respectively. Calculate the difference of heights between the two points A and B (in metre).? has been provided alongside types of In the leveling between two points A and B on the opposite sides of a pond, the level is first set up near the point A and staff reading on A and B are 2.5 m and 2.0 m respectively. Then the level is moved and set near the point B, staff reading on points A and B are 1.2 m and 1.7 m respectively. Calculate the difference of heights between the two points A and B (in metre).? theory, EduRev gives you an
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