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The following consecutive reading were taken with a dumpy level and 4 m levelling staff. The first reading taken on BM having RL 200 m. the instrument was shifted after the second, fifth and eigth readings. Calculate RL of other points by Heigth of Instrument method. 0.775, 1.320, 0.840, 2.565, 2.125, 2.005, 1.830, 3.120, 3.015, 2.400?
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The following consecutive reading were taken with a dumpy level and 4 ...
To determine the RL (Reduced Level) of other points using the Height of Instrument method, you will need to follow these steps:
Determine the initial RL of the starting point, which is the RL of the BM (Benchmark) in this case. The initial RL of the BM is given as 200 m.
Take the first reading with the dumpy level and the levelling staff. The first reading is 0.775 m.
Calculate the RL of the second point by adding the first reading to the initial RL of the BM. The RL of the second point is 200 + 0.775 = 200.775 m.
Take the second reading with the dumpy level and the levelling staff. The second reading is 1.320 m.
Calculate the RL of the third point by adding the second reading to the RL of the second point. The RL of the third point is 200.775 + 1.320 = 202.095 m.
Take the third reading with the dumpy level and the levelling staff. The third reading is 0.840 m.
Calculate the RL of the fourth point by adding the third reading to the RL of the third point. The RL of the fourth point is 202.095 + 0.840 = 202.935 m.
Repeat this process for the remaining readings, taking into account the instrument shifts that occurred after the second, fifth, and eighth readings.
After following these steps, you should be able to determine the RL of all the points.
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The following consecutive reading were taken with a dumpy level and 4 ...
Calculating RL using Height of Instrument method
Given data:
- First reading (BM): RL 200 m
- Consecutive readings: 0.775, 1.320, 0.840, 2.565, 2.125, 2.005, 1.830, 3.120, 3.015, 2.400
Step 1: Calculate Reduced Levels (RL) for the intermediate points
To calculate the Reduced Level (RL) of each intermediate point, we need to determine the Height of Instrument (HI) at each setup and then apply the Height of Collimation (HC) correction.
Step 2: Calculate HI for each setup
The Height of Instrument (HI) can be calculated by adding the Backsight (BS) to the RL of the first reading (BM). The BS is the reading taken on the Benchmark (BM).
Step 3: Apply HC correction
The Height of Collimation (HC) correction is calculated by subtracting the Fore Sight (FS) from the Backsight (BS) at each setup. The FS is the reading taken on the staff at each intermediate point.
Step 4: Calculate RL for each intermediate point
To calculate the RL for each intermediate point, we add the HI of the setup to the FS and subtract the HC correction.
Calculations:
1. Calculate HI for each setup:
- HI1 = BM RL + BS1 = 200 + 0.775 = 200.775
- HI2 = HI1 + BS2 = 200.775 + 1.320 = 202.095
- HI3 = HI2 + BS3 = 202.095 + 0.840 = 202.935
- HI4 = HI3 + BS4 = 202.935 + 2.565 = 205.500
- HI5 = HI4 + BS5 = 205.500 + 2.125 = 207.625
- HI6 = HI5 + BS6 = 207.625 + 2.005 = 209.630
- HI7 = HI6 + BS7 = 209.630 + 1.830 = 211.460
- HI8 = HI7 + BS8 = 211.460 + 3.120 = 214.580
- HI9 = HI8 + BS9 = 214.580 + 3.015 = 217.595
- HI10 = HI9 + BS10 = 217.595 + 2.400 = 219.995
2. Apply HC correction:
- HC1 = BS1 - FS1 = 0.775 - 0.000 = 0.775
- HC2 = BS2 - FS2 = 1.320 - 0.840 = 0.480
- HC3 = BS3 - FS3 = 0.840 - 2.565 = -1.725
- HC4 = BS4 - FS4 = 2.565 - 2.125 = 0.440
- HC5 = BS5 - FS5 = 2.125 - 2.005 = 0.120
- HC6 = BS6 - FS
Given data:
- First reading (BM): RL 200 m
- Consecutive readings: 0.775, 1.320, 0.840, 2.565, 2.125, 2.005, 1.830, 3.120, 3.015, 2.400
Step 1: Calculate Reduced Levels (RL) for the intermediate points
To calculate the Reduced Level (RL) of each intermediate point, we need to determine the Height of Instrument (HI) at each setup and then apply the Height of Collimation (HC) correction.
Step 2: Calculate HI for each setup
The Height of Instrument (HI) can be calculated by adding the Backsight (BS) to the RL of the first reading (BM). The BS is the reading taken on the Benchmark (BM).
Step 3: Apply HC correction
The Height of Collimation (HC) correction is calculated by subtracting the Fore Sight (FS) from the Backsight (BS) at each setup. The FS is the reading taken on the staff at each intermediate point.
Step 4: Calculate RL for each intermediate point
To calculate the RL for each intermediate point, we add the HI of the setup to the FS and subtract the HC correction.
Calculations:
1. Calculate HI for each setup:
- HI1 = BM RL + BS1 = 200 + 0.775 = 200.775
- HI2 = HI1 + BS2 = 200.775 + 1.320 = 202.095
- HI3 = HI2 + BS3 = 202.095 + 0.840 = 202.935
- HI4 = HI3 + BS4 = 202.935 + 2.565 = 205.500
- HI5 = HI4 + BS5 = 205.500 + 2.125 = 207.625
- HI6 = HI5 + BS6 = 207.625 + 2.005 = 209.630
- HI7 = HI6 + BS7 = 209.630 + 1.830 = 211.460
- HI8 = HI7 + BS8 = 211.460 + 3.120 = 214.580
- HI9 = HI8 + BS9 = 214.580 + 3.015 = 217.595
- HI10 = HI9 + BS10 = 217.595 + 2.400 = 219.995
2. Apply HC correction:
- HC1 = BS1 - FS1 = 0.775 - 0.000 = 0.775
- HC2 = BS2 - FS2 = 1.320 - 0.840 = 0.480
- HC3 = BS3 - FS3 = 0.840 - 2.565 = -1.725
- HC4 = BS4 - FS4 = 2.565 - 2.125 = 0.440
- HC5 = BS5 - FS5 = 2.125 - 2.005 = 0.120
- HC6 = BS6 - FS
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The following consecutive reading were taken with a dumpy level and 4 m levelling staff. The first reading taken on BM having RL 200 m. the instrument was shifted after the second, fifth and eigth readings. Calculate RL of other points by Heigth of Instrument method. 0.775, 1.320, 0.840, 2.565, 2.125, 2.005, 1.830, 3.120, 3.015, 2.400?
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The following consecutive reading were taken with a dumpy level and 4 m levelling staff. The first reading taken on BM having RL 200 m. the instrument was shifted after the second, fifth and eigth readings. Calculate RL of other points by Heigth of Instrument method. 0.775, 1.320, 0.840, 2.565, 2.125, 2.005, 1.830, 3.120, 3.015, 2.400? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The following consecutive reading were taken with a dumpy level and 4 m levelling staff. The first reading taken on BM having RL 200 m. the instrument was shifted after the second, fifth and eigth readings. Calculate RL of other points by Heigth of Instrument method. 0.775, 1.320, 0.840, 2.565, 2.125, 2.005, 1.830, 3.120, 3.015, 2.400? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following consecutive reading were taken with a dumpy level and 4 m levelling staff. The first reading taken on BM having RL 200 m. the instrument was shifted after the second, fifth and eigth readings. Calculate RL of other points by Heigth of Instrument method. 0.775, 1.320, 0.840, 2.565, 2.125, 2.005, 1.830, 3.120, 3.015, 2.400?.
The following consecutive reading were taken with a dumpy level and 4 m levelling staff. The first reading taken on BM having RL 200 m. the instrument was shifted after the second, fifth and eigth readings. Calculate RL of other points by Heigth of Instrument method. 0.775, 1.320, 0.840, 2.565, 2.125, 2.005, 1.830, 3.120, 3.015, 2.400? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The following consecutive reading were taken with a dumpy level and 4 m levelling staff. The first reading taken on BM having RL 200 m. the instrument was shifted after the second, fifth and eigth readings. Calculate RL of other points by Heigth of Instrument method. 0.775, 1.320, 0.840, 2.565, 2.125, 2.005, 1.830, 3.120, 3.015, 2.400? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following consecutive reading were taken with a dumpy level and 4 m levelling staff. The first reading taken on BM having RL 200 m. the instrument was shifted after the second, fifth and eigth readings. Calculate RL of other points by Heigth of Instrument method. 0.775, 1.320, 0.840, 2.565, 2.125, 2.005, 1.830, 3.120, 3.015, 2.400?.
Solutions for The following consecutive reading were taken with a dumpy level and 4 m levelling staff. The first reading taken on BM having RL 200 m. the instrument was shifted after the second, fifth and eigth readings. Calculate RL of other points by Heigth of Instrument method. 0.775, 1.320, 0.840, 2.565, 2.125, 2.005, 1.830, 3.120, 3.015, 2.400? in English & in Hindi are available as part of our courses for SSC.
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