2. 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.
2. 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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:2. 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.
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