Reciprocal levelling is done to test a dumpy level, along a chain line, at a common interval of 25m, starting at 125 m. The following records have been observed with the instrument shifts at distances of 200 m and 300 m:   3.200, 2.135, 1.265, 0.535, 3.105, 2.450, 1.535, 1.185, 1.755, 1.215, 2.145, 3.015 m Calculate the reduced levels at all the points and check for mathematical errors, assuming RL = 97.535 m is the benchmark reading at the first station. Use   a)      the rise and fall method, and b)      the height of the collimation method.

Principles of Geotechnical Engineering (MindTap Course List)
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Chapter15: Slope Stability
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Problem 15.27P
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Reciprocal levelling is done to test a dumpy level, along a chain line, at a common interval of 25m, starting at 125 m. The following records have been observed with the instrument shifts at distances of 200 m and 300 m:

 

3.200, 2.135, 1.265, 0.535, 3.105, 2.450, 1.535, 1.185, 1.755, 1.215, 2.145, 3.015 m

Calculate the reduced levels at all the points and check for mathematical errors, assuming RL = 97.535 m is the benchmark reading at the first station. Use

 

a)      the rise and fall method, and

b)      the height of the collimation method.

 

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