A 30-meter steel tape is of standard length under a pull of 6 kilos and temperature of 20 degree Celsius when supported throughout its length. The tape weighs 0.04 kg/m and has cross-sectional area of 0.030 square centimeters. This tape was used to measure a distance that was recorded to be 652.480 meters at a temperature of 30 degree Celsius and a constant pull of 8 kilos. Modulus of elasticity of the tape is 2x106 kg per square centimeters and coefficient of linear expansion is 0.0000116 per degree Celsius. a. With the tape supported only at its end points, compute the correct length of the line. b. What is the corrected length of the line if the tape is supported at the mid and endpoints? c. What is the corrected length of the line if the tape is supported every 10 meters? d. What is the corrected distance of the line if tape supports are located every five meters? e. What is the corrected distance of the line if the tape is supported throughout its length?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Problem on Taping Corrections:
A 30-meter steel tape is of standard length under a pull of 6 kilos and temperature
of 20 degree Celsius when supported throughout its length. The tape weighs 0.04
kg/m and has cross-sectional area of 0.030 square centimeters. This tape was used
to measure a distance that was recorded to be 652.480 meters at a temperature of
30 degree Celsius and a constant pull of 8 kilos. Modulus of elasticity of the tape is
2x106 kg per square centimeters and coefficient of linear expansion is 0.0000116
per degree Celsius.
a. With the tape supported only at its end points, compute the correct length of the
line.
b. What is the corrected length of the line if the tape is supported at the mid and
endpoints?
c. What is the corrected length of the line if the tape is supported every 10 meters?
d. What is the corrected distance of the line if tape supports are located every five
meters?
e. What is the corrected distance of the line if the tape is supported throughout its
length?
Transcribed Image Text:Problem on Taping Corrections: A 30-meter steel tape is of standard length under a pull of 6 kilos and temperature of 20 degree Celsius when supported throughout its length. The tape weighs 0.04 kg/m and has cross-sectional area of 0.030 square centimeters. This tape was used to measure a distance that was recorded to be 652.480 meters at a temperature of 30 degree Celsius and a constant pull of 8 kilos. Modulus of elasticity of the tape is 2x106 kg per square centimeters and coefficient of linear expansion is 0.0000116 per degree Celsius. a. With the tape supported only at its end points, compute the correct length of the line. b. What is the corrected length of the line if the tape is supported at the mid and endpoints? c. What is the corrected length of the line if the tape is supported every 10 meters? d. What is the corrected distance of the line if tape supports are located every five meters? e. What is the corrected distance of the line if the tape is supported throughout its length?
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