A 50m steel tape is used to measure the distance of the line and found to be 840.25m. During the measurement, the tape is supported at the ends and midpoint under a pull of 8kg and the observed mean temperature is 28°C. The tape is of standard length at 22°C and a tension of 12kg. The cross-section area of the tape is 0.030cm2. The coefficient of thermal expansion is 0.0000116°C and the modulus of elasticity of steel is 2.0x106 kg/cm2. The tape length is 1.0 kg. Determine the correct length of the tape.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter3: The Structure Of Real Materials
Section: Chapter Questions
Problem 3.12P
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A 50m steel tape is used to measure the distance of the line and found to be 840.25m. During the measurement, the tape is supported at the ends and midpoint under a pull of 8kg and the observed mean temperature is 28°C. The tape is of standard length at 22°C and a tension of 12kg. The cross-section area of the tape is 0.030cm2. The coefficient of thermal expansion is 0.0000116°C and the modulus of elasticity of steel is 2.0x106 kg/cm2. The tape length is 1.0 kg. Determine the correct length of the tape.

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