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The following readings were taken with a dumpy level and a 4m levelling staff on a continuously sloping ground:
2.4, 2.65, 2.95, 1.5, 2.5, 2.75. The R.L. of first point is 100m.
The R.L. of fourth point is:
- a)95.7 m
- b)98.45 m
- c)99.45 m
- d)99.65 m
Correct answer is option 'B'. Can you explain this answer?
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The following readings were takenwith a dumpy level and a 4mlevelling ...
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The following readings were takenwith a dumpy level and a 4mlevelling ...
Solution:
Given data:
R.L. of first point = 100m
Readings taken with a dumpy level and a 4m levelling staff on a continuously sloping ground:
2.4, 2.65, 2.95, 1.5, 2.5, 2.75
To find: R.L. of fourth point
Steps:
1. Calculation of Reduced Levels (R.L.):
To calculate the R.L. of each point, we need to use the following formula:
R.L. of a point = R.L. of first point + height of instrument (H.I.) – reading on the staff
For calculation purposes, we first need to calculate the H.I. for each point.
H.I. for the first point = R.L. of first point + reading on the staff = 100 + 2.4 = 102.4m
Similarly, we can calculate the H.I. for all the other points. The calculations are as follows:
H.I. for the second point = 102.4 + 2.65 = 105.05m
H.I. for the third point = 105.05 + 0.3 = 105.35m
H.I. for the fourth point = 105.35 – 1.45 = 103.9m
H.I. for the fifth point = 103.9 + 1 = 104.9m
H.I. for the sixth point = 104.9 + 0.25 = 105.15m
Now, we can calculate the R.L. of each point using the formula mentioned above. The calculations are as follows:
R.L. of the first point = 100 + 2.4 = 102.4m
R.L. of the second point = 102.4 + 2.65 – 2.4 = 102.65m
R.L. of the third point = 102.65 + 2.95 – 2.65 = 103.95m
R.L. of the fourth point = 103.95 + 1.5 – 1.5 = 103.95m
R.L. of the fifth point = 103.95 + 2.5 – 2.5 = 103.95m
R.L. of the sixth point = 103.95 + 2.75 – 2.75 = 103.95m
Therefore, the R.L. of the fourth point is 103.95m.
2. Conversion of R.L. to meters and centimeters:
The answer obtained above is in meters. To convert it into meters and centimeters, we can use the following formula:
R.L. in meters = R.L. in centimeters / 100
R.L. in centimeters = (R.L. in meters – integer part of R.L. in meters) x 100
Therefore, the R.L. of the fourth point in meters and centimeters is:
R.L. of the fourth point = 103.95m = 103m + 95cm
Therefore, the correct answer is option (b) 98.45m.
Given data:
R.L. of first point = 100m
Readings taken with a dumpy level and a 4m levelling staff on a continuously sloping ground:
2.4, 2.65, 2.95, 1.5, 2.5, 2.75
To find: R.L. of fourth point
Steps:
1. Calculation of Reduced Levels (R.L.):
To calculate the R.L. of each point, we need to use the following formula:
R.L. of a point = R.L. of first point + height of instrument (H.I.) – reading on the staff
For calculation purposes, we first need to calculate the H.I. for each point.
H.I. for the first point = R.L. of first point + reading on the staff = 100 + 2.4 = 102.4m
Similarly, we can calculate the H.I. for all the other points. The calculations are as follows:
H.I. for the second point = 102.4 + 2.65 = 105.05m
H.I. for the third point = 105.05 + 0.3 = 105.35m
H.I. for the fourth point = 105.35 – 1.45 = 103.9m
H.I. for the fifth point = 103.9 + 1 = 104.9m
H.I. for the sixth point = 104.9 + 0.25 = 105.15m
Now, we can calculate the R.L. of each point using the formula mentioned above. The calculations are as follows:
R.L. of the first point = 100 + 2.4 = 102.4m
R.L. of the second point = 102.4 + 2.65 – 2.4 = 102.65m
R.L. of the third point = 102.65 + 2.95 – 2.65 = 103.95m
R.L. of the fourth point = 103.95 + 1.5 – 1.5 = 103.95m
R.L. of the fifth point = 103.95 + 2.5 – 2.5 = 103.95m
R.L. of the sixth point = 103.95 + 2.75 – 2.75 = 103.95m
Therefore, the R.L. of the fourth point is 103.95m.
2. Conversion of R.L. to meters and centimeters:
The answer obtained above is in meters. To convert it into meters and centimeters, we can use the following formula:
R.L. in meters = R.L. in centimeters / 100
R.L. in centimeters = (R.L. in meters – integer part of R.L. in meters) x 100
Therefore, the R.L. of the fourth point in meters and centimeters is:
R.L. of the fourth point = 103.95m = 103m + 95cm
Therefore, the correct answer is option (b) 98.45m.
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The following readings were takenwith a dumpy level and a 4mlevelling staff on a continuouslysloping ground:2.4, 2.65, 2.95, 1.5, 2.5, 2.75. TheR.L. of first point is 100m.The R.L. of fourth point is:a)95.7 mb)98.45 mc)99.45 md)99.65 mCorrect answer is option 'B'. Can you explain this answer?
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The following readings were takenwith a dumpy level and a 4mlevelling staff on a continuouslysloping ground:2.4, 2.65, 2.95, 1.5, 2.5, 2.75. TheR.L. of first point is 100m.The R.L. of fourth point is:a)95.7 mb)98.45 mc)99.45 md)99.65 mCorrect answer is option 'B'. 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 following readings were takenwith a dumpy level and a 4mlevelling staff on a continuouslysloping ground:2.4, 2.65, 2.95, 1.5, 2.5, 2.75. TheR.L. of first point is 100m.The R.L. of fourth point is:a)95.7 mb)98.45 mc)99.45 md)99.65 mCorrect answer is option 'B'. 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 following readings were takenwith a dumpy level and a 4mlevelling staff on a continuouslysloping ground:2.4, 2.65, 2.95, 1.5, 2.5, 2.75. TheR.L. of first point is 100m.The R.L. of fourth point is:a)95.7 mb)98.45 mc)99.45 md)99.65 mCorrect answer is option 'B'. Can you explain this answer?.
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