A line was measured to be 2682.35m using a 30m steel tape supported throughout its length under a pull of 4.4kg. The mean temperature during measurement is 34 degree Celsius. The tape used has a cross sectional area of 0.03 square centimeters and has a standard length of 20degree Celsius under a pull of 5.5kg. The modulus of elasticity of the tape material is 2 x 10^6 kg/cm^2 and the coefficient of thermal expansion is 0.0000116 per degree Celsius.   a. Determine the error due to temperature change. b. Determine the error due to tension. c. Determine the corrected length of the line.

Structural Analysis
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Chapter2: Loads On Structures
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  1. A line was measured to be 2682.35m using a 30m steel tape supported throughout its length under a pull of 4.4kg. The mean temperature during measurement is 34 degree Celsius. The tape used has a cross sectional area of 0.03 square centimeters and has a standard length of 20degree Celsius under a pull of 5.5kg. The modulus of elasticity of the tape material is 2 x 10^6 kg/cm^2 and the coefficient of thermal expansion is 0.0000116 per degree Celsius.

 

a. Determine the error due to temperature change.

b. Determine the error due to tension.

c. Determine the corrected length of the line.

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