This video solves a sample problem on error correction due to temperature, pull, sag, and slope.
Sample problem:
A line is recorded as 472.90 m long. It is measured with a 0.65-kg tape which is 30.005-m long at 20 degrees Celsius under a 50-N pull supported at both ends. During measurement, the temperature is 5 degrees Celsius and the tape is suspended under a 75-N pull. The line is measured on 3% grade, E = 200 GPa, cross-sectional area is 3 mm2 and the coefficient of linear expansion is 0.0000116 m/C.
a. Compute the actual length of the tape during measurement.
b. Compute the total error to be corrected for the inclined distance.
c. What is the true horizontal distance?
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22 авг 2024