A civil engineer used a 50m tape in measuring an inclined distance. The measured length on the slope was recorded to be 459.20m long. The difference in elevation between the initial point and the end point was found to be 1.25m. The 30m tape is of standard length at a temperature of 20 °C and a pull of 50N. During measurement the temperature reading was 25°C and the tape was supported at both ends with an applied pull of 80N. The cross sectional area of the tape is 3mm² and the modulus of elasticity is 180GPa. The tape has a weight of 0.2515N/m and the coefficient of linear expansion is 0.0000116/"C. Determine: a. The total temperature correction in mm b. The total pull correction in mm c. The total sag correction in mm

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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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 459.20m long. The difference in elevation between the initial point and the end point was
found to be 1.25m. The 30m tape is of standard length at a temperature of 20 °C and a pull of 50N. During
measurement the temperature reading was 25°C and the tape was supported at both ends with an applied
pull of 80N. The cross sectional area of the tape is 3mm² and the modulus of elasticity is 180GPa. The tape
has a weight of 0.2515N/m and the coefficient of linear expansion is 0.0000116/"C. Determine:
a. The total temperature correction in mm
b.
The total pull correction in mm
c. The total sag correction in mm
The slope correction in mm
e. The horizontal distance in m.
d.
f.
If the survey are to be connected to the national mapping system of a country, the distances will
need to be reduced to the common datum of the system, namely MSL (Mean Sea Level),
determine the adjsuted length in m. The elevation from the mean sea level is 8km.
Transcribed Image Text:A civil engineer used a 50m tape in measuring an inclined distance. The measured length on the slope was recorded to be 459.20m long. The difference in elevation between the initial point and the end point was found to be 1.25m. The 30m tape is of standard length at a temperature of 20 °C and a pull of 50N. During measurement the temperature reading was 25°C and the tape was supported at both ends with an applied pull of 80N. The cross sectional area of the tape is 3mm² and the modulus of elasticity is 180GPa. The tape has a weight of 0.2515N/m and the coefficient of linear expansion is 0.0000116/"C. Determine: a. The total temperature correction in mm b. The total pull correction in mm c. The total sag correction in mm The slope correction in mm e. The horizontal distance in m. d. f. If the survey are to be connected to the national mapping system of a country, the distances will need to be reduced to the common datum of the system, namely MSL (Mean Sea Level), determine the adjsuted length in m. The elevation from the mean sea level is 8km.
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