As applied to staff readings, the corrections for curvature and refrac...
The curvature increases the staff reading, hence its correction is negative. The rays of light when passing through the atmosphere bend down and follows a curved path, hence correction is positive.
Correction due to curvature = -0.0785D2
Correction due to refraction = 0.0112D2
Combined correction = -0.0673D2
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As applied to staff readings, the corrections for curvature and refrac...
Corrections for Curvature and Refraction in Staff Readings
Curvature Correction:
The curvature correction is applied to adjust the staff readings for the effect of the earth's curvature. The earth is not flat, and therefore, the line of sight between the staff and the level is curved. This causes an error in the staff readings, which must be corrected. The curvature correction is given by the formula:
C = (L^2)/(2R)
where C is the curvature correction, L is the length of the sight, and R is the radius of the earth. The curvature correction is always positive, and it is added to the staff reading.
Refraction Correction:
The refraction correction is applied to adjust the staff readings for the effect of atmospheric refraction. The atmosphere bends the light rays passing through it, causing a shift in the apparent position of the staff. This causes an error in the staff readings, which must be corrected. The refraction correction is given by the formula:
R = (0.07t)/(T + 273)
where R is the refraction correction, t is the temperature of the air, and T is the temperature of the boiling water used to determine the atmospheric pressure. The refraction correction is always negative, and it is subtracted from the staff reading.
Conclusion:
In staff readings, the corrections for curvature and refraction are respectively - and +. This means that the curvature correction is always positive and added to the staff reading, while the refraction correction is always negative and subtracted from the staff reading. It is important to apply these corrections to get accurate staff readings and ensure the success of the construction project.
As applied to staff readings, the corrections for curvature and refrac...
B