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Problem 2.12 solved/E.s

Problem 2.12

2.12 The observations listed below were recorded when testing the adjustment of an automatic level. Use them to calculate the collimation error in the level.

Level positionStaff positionSighting distanceStaff reading
I1A25m1.225m
I1B25m1.090m
I2A55m1.314m
I2B5m1.155m

Expert Answer ♥♥♥

Problem 2.12
Problem 2.12

            Instrument at I1,                                                                                   Instrument at I2, 

True difference in level between A and B                                   Apparent level difference between A and B

= 1.225 – 1.090                                                                                 = 1.314 – 1.155

= 0.135m A is lower                                                                          = 0.159m A is lower

Therefore, connecting reading at A        = Reading at B + 0.135

                                                                       = 1.155 + 0.135     = 1.290m

Observed reading at A   = 1.314m

1.314m > 1.290, the line of collimation is upward elevated,

Collimation error in 50m, = 1.314 – 1.290 = 0.024m

Collimation error in 55m, = 0.024 x   = 0.0264m

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