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1. A line was measured to be 3256.35m using a 30m steel tape supported throughout its length under a pull of 4.6kg. The mean temperature during measurement is 35 degree-Celsius. The tape used has a cross sectional area of 0.028 square centimeters and has a standard length of 20 degree-Celsius under a pull of 5.0kg. 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.

1. A line was measured to be 3256.35m using a 30m steel tape supported throughout its length under a pull of 4.6kg. The mean temperature during measurement is 35 degree-Celsius. The tape used has a cross sectional area of 0.028 square centimeters and has a standard length of 20 degree-Celsius under a pull of 5.0kg. 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
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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1. A line was measured to be 3256.35m using a 30m steel tape supported throughout its length under a pull of 4.6kg. The mean temperature during measurement is 35 degree-Celsius. The tape used has a cross sectional area of 0.028 square centimeters and has a standard length of 20 degree-Celsius under a pull of 5.0kg. 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.
Transcribed Image Text:1. A line was measured to be 3256.35m using a 30m steel tape supported throughout its length under a pull of 4.6kg. The mean temperature during measurement is 35 degree-Celsius. The tape used has a cross sectional area of 0.028 square centimeters and has a standard length of 20 degree-Celsius under a pull of 5.0kg. 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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