Eg:
A 30m. surveyor's steel tape is correct at 21°C. The distance measured by using this tape on a day when the temperature is 32°C is 230m. Calculate the true distance between the points by applying temperature correction. Coefficient of thermal expansion ∝ = 1.4 х 10⁻⁵ per ° C.
To find:
The true distance between the points.
Calculation:
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The true length
L = [ Measured length + temp. correction.]
L = [ L1 + Ct ]
Now,
The temperature correction is calculated by the formula
Ct = [ ∝ х ( Tm - To ) х L1 ]
Where,
∝ = Coefficient of thermal expansion = 1.4 х 10⁻⁵
Tm = Field temp. = 32°C
To = Standard temp. = 21°C
L1 = Measured distance = 230m.
Ct = [ 1.4 х 10⁻⁵ х ( 32°C - 21°C ) х 230m. ]
= 0.0354m.
The true length between the points
L = [ L1 + Ct ]
= [230m. + 0.0354m.]
L = 230.0354m.
To understand A to Z of surveying, click here.
Thank you for going through these calculation steps❤. Have a good day 😄.
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