A Civil Engineer used a 40m 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 40 m tape is of standard length at a temperature of 10°C and a pull of 50 N. During measurement the temperature reading was 9°C and the tape was supported at both ends with an applied pull of 45 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. 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. 4. What is the total correction per tape length due to temperature, pull and sag in meters? Round off your answers to 4 decimal places and include the negative sign if it is negative.
A Civil Engineer used a 40m 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 40 m tape is of standard length at a temperature of 10°C and a pull of 50 N. During measurement the temperature reading was 9°C and the tape was supported at both ends with an applied pull of 45 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. 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. 4. What is the total correction per tape length due to temperature, pull and sag in meters? Round off your answers to 4 decimal places and include the negative sign if it is negative.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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4. What is the total correction per tape length due to temperature, pull and sag in meters? Round off your answers to 4 decimal places and include the negative sign if it is negative
Transcribed Image Text:A Civil Engineer used a 40m 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 40 m tape is
of standard length at a temperature of 10°C and a pull of 50 N. During measurement the temperature reading was 9°C and the
tape was supported at both ends with an applied pull of 45 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. 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.
4. What is the total correction per tape length due to temperature, pull and sag in meters? Round off your answers to 4
decimal places and include the negative sign if it is negative.
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