A line was measured to be 2400-m when measured with a 50-m steel tape supported throughout its length under a pull of 4-kgs and at a mean temperature of 18-degree Celsius, and tape used is of standard length at 20-degree Celsius under a pull of 5-kgs. The cross-sectional area of the tape is 0.04 sq. cm. Determine the correct length of the line for the combined effects of tension, sag, and temperature. Assume the coefficient of linear expansion of the tape to be equal to 0.000016 per degree Celsius, and the modulus of elasticity of steel is 2.5 x 106 kg/cm2. Illustrate.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A line was measured to be 2400-m when measured with a 50-m steel tape supported throughout its length under a pull of 4-kgs and at a mean temperature of 18-degree Celsius, and tape used is of standard length at 20-degree Celsius under a pull of 5-kgs. The cross-sectional area of the tape is 0.04 sq. cm. Determine the correct length of the line for the combined effects of tension, sag, and temperature. Assume the coefficient of linear expansion of the tape to be equal to 0.000016 per degree Celsius, and the modulus of elasticity of steel is 2.5 x 106 kg/cm2. Illustrate.

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