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. Modulus of elasticity of the tape is 200 GPa, cross-sectional area of the tape is 3 mm? and the coefficient of linear expansion is 0.000016 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.

Structural Analysis
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Author:KASSIMALI, Aslam.
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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. Modulus of elasticity of the tape is 200 GPa, cross-sectional area of the tape is
3 mm? and the coefficient of linear expansion is 0.000016 m/ºC.
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.
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. Modulus of elasticity of the tape is 200 GPa, cross-sectional area of the tape is 3 mm? and the coefficient of linear expansion is 0.000016 m/ºC. 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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