A 50-m tape of standard length has a mass of 0.05kg/m, with a cross-sectional area of 0.04 sq. cm. It has a modulus of elasticity of 2.10x106 kg/sq. cm. The tape is of standard length under a pull of 5.5 kg when supported throughout its length and a temperature of 20°C. This tape was used to measure a distance between A and B and was recorded to be 458.65m. long. At the time of measurement, the pull applied was 8 kg. with the tape supported only at its endpoints and the temperature observed was 18°C. Assuming the coefficient of linear expansion of the tape is 0.0000116m/°C. Compute for the true length (with the combined effects of tension, sag, and temperature) of the measured line AB.
A 50-m tape of standard length has a mass of 0.05kg/m, with a cross-sectional area of 0.04 sq. cm. It has a modulus of elasticity of 2.10x106 kg/sq. cm. The tape is of standard length under a pull of 5.5 kg when supported throughout its length and a temperature of 20°C. This tape was used to measure a distance between A and B and was recorded to be 458.65m. long. At the time of measurement, the pull applied was 8 kg. with the tape supported only at its endpoints and the temperature observed was 18°C. Assuming the coefficient of linear expansion of the tape is 0.0000116m/°C. Compute for the true length (with the combined effects of tension, sag, and temperature) of the measured line AB.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A 50-m tape of standard length has a mass of 0.05kg/m, with a cross-sectional area of
0.04 sq. cm. It has a modulus of elasticity of 2.10x106 kg/sq. cm. The tape is of standard
length under a pull of 5.5 kg when supported throughout its length and a temperature of
20°C. This tape was used to measure a distance between A and B and was recorded to
be 458.65m. long. At the time of measurement, the pull applied was 8 kg. with the tape
supported only at its endpoints and the temperature observed was 18°C. Assuming the
coefficient of linear expansion of the tape is 0.0000116m/°C. Compute for the true length
(with the combined effects of tension, sag, and temperature) of the measured line AB.
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