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.Determine the magnitude of the correction per tape length in meters due to temperature. Round off your answers to 4 decimal places. Determine the magnitude of the correction per tape length in meters due to pull. Round off your answers to 4 decimal places. Determine the magnitude of the correction per tape length in meters due to sag. Round off your answers to 4 decimal places. What is the total correction 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. Do not round off values during solving. Use the store function of your calculator or its fraction if applicable.

Given data in question 50 m tape used Distance measured Standard pull Po Measured pull Pm Standard…

Answered: A Civil Engineer used a 50m tape in…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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. 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 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.
Do not round off values during solving. Use the store function of your calculator or its fraction if applicable.

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