1. A Civil Engineer used a 50m tape in measuring an inclined distance. The measured length on the slope was recorded to be 459.20 m long. The difference in elevation between the initial point and the end point was found to be 1.25 m. The 50 m tape is of standard length at a temperature of 10°C and a pull of 50 N. During measurement the temperature reading was 8°C and the tape was supported at both ends with an applied pull of 70 N. The cross-sectional area of the tape is 6 mm² and the modulus of elasticity is 200 GPa. The tape has a mass of 0.075 kg/m. Coefficient of thermal expansion is 0.0000116 /°C.
1. A Civil Engineer used a 50m tape in measuring an inclined distance. The measured length on the slope was recorded to be 459.20 m long. The difference in elevation between the initial point and the end point was found to be 1.25 m. The 50 m tape is of standard length at a temperature of 10°C and a pull of 50 N. During measurement the temperature reading was 8°C and the tape was supported at both ends with an applied pull of 70 N. The cross-sectional area of the tape is 6 mm² and the modulus of elasticity is 200 GPa. The tape has a mass of 0.075 kg/m. Coefficient of thermal expansion is 0.0000116 /°C.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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please solve for CORRECTION PER TAPE LENGTH
Transcribed Image Text:1. A Civil Engineer used a 50m tape in measuring an inclined distance. The measured length on the slope
was recorded to be 459.20 m long. The difference in elevation between the initial point and the end
point was found to be 1.25 m. The 50 m tape is of standard length at a temperature of 10°C and a pull of
50 N. During measurement the temperature reading was 8°C and the tape was supported at both ends
with an applied pull of 70 N. The cross-sectional area of the tape is 6 mm? and the modulus of elasticity
is 200 GPa. The tape has a mass of 0.075 kg/m. Coefficient of thermal expansion is 0.0000116 /°C.
1. Determine the magnitude of the correction per tape length in meters due to temperature. Round
off your answers to 4 decimal places.
2. Determine the magnitude of the correction per tape length in meters due to pull. Round off your
answers to 4 decimal places.
3. Determine the magnitude of the correction per tape length in meters due to sag. Round off your
answers to 4 decimal places.
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