A line was found to be 1450.25 m long when measured with a 30-m tape under a steady pull of 6.5 kg at a mean temperature of 30° C and supported at the midspan and at the ends. Determine the correct length of the line if the tape used is of standard length at 20° C under a pull of 5.5 kg. Assume the cross-sectional area of tape to be 0.025 cm^2, elastic modulus as 2.10 x 10^6 kg/cm^2, and coefficient of thermal expansion to be 0.0000116/°C.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A line was found to be 1450.25 m long when
measured with a 30-m tape under a steady pull of
6.5 kg at a mean temperature of 30° C and
supported at the midspan and at the ends.
Determine the correct length of the line if the tape
used is of standard length at 20° C under a pull of
5.5 kg. Assume the cross-sectional area of tape to
be 0.025 cm^2, elastic modulus as 2.10 x 10^6
kg/cm^2, and coefficient of thermal expansion to be
0.0000116/°C.
Transcribed Image Text:A line was found to be 1450.25 m long when measured with a 30-m tape under a steady pull of 6.5 kg at a mean temperature of 30° C and supported at the midspan and at the ends. Determine the correct length of the line if the tape used is of standard length at 20° C under a pull of 5.5 kg. Assume the cross-sectional area of tape to be 0.025 cm^2, elastic modulus as 2.10 x 10^6 kg/cm^2, and coefficient of thermal expansion to be 0.0000116/°C.
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