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 °C under a 50 N pull supported at both ends. During measurement, the temperature is 5 °C and the tape is suspended under a 75 N pull. The line is measured on 3% grade. E = 200 GPa, cross-sectional area of the tape is 3 mm2 and the coefficient of linear expansion is 0.0000116 m/°C. a. Compute the actual length of tape during measurement. b. Compute the total error to be corrected for the inclined distance. c. What is the true horizontal distance?

Structural Analysis
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Chapter2: Loads On Structures
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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 °C
under a 50 N pull supported at both ends. During measurement, the temperature is 5 °C and the tape is
suspended under a 75 N pull. The line is measured on 3% grade. E = 200 GPa, cross-sectional area of the
tape is 3 mm2 and the coefficient of linear expansion is 0.0000116 m/°C.
a. Compute the actual length of tape during measurement.
b. Compute the total error to be corrected for the inclined distance.
c. What is the true horizontal distance?
Transcribed Image Text: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 °C under a 50 N pull supported at both ends. During measurement, the temperature is 5 °C and the tape is suspended under a 75 N pull. The line is measured on 3% grade. E = 200 GPa, cross-sectional area of the tape is 3 mm2 and the coefficient of linear expansion is 0.0000116 m/°C. a. Compute the actual length of 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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