A line was determined to be 3,069.72 m when measured with a 50-m steel tape supported throughout its length under a pull of 5 kg at a mean temperature of 36°C. The tape used is of standard length at 20°C under a pull of 6 kg. Cross-sectional area of the tape is 0.04 cm 2 . Coefficient of thermal expansion is 0.0000116/°C. Modulus of elasticity of tape is 2x10 6 kg/cm 2 . Calculate the following: a. Error in the length due to change in temperature. b. Error of the tape due to tension. c. Corrected length of the line.
A line was determined to be 3,069.72 m when measured with a 50-m steel tape supported throughout its length under a pull of 5 kg at a mean temperature of 36°C. The tape used is of standard length at 20°C under a pull of 6 kg. Cross-sectional area of the tape is 0.04 cm 2 . Coefficient of thermal expansion is 0.0000116/°C. Modulus of elasticity of tape is 2x10 6 kg/cm 2 . Calculate the following: a. Error in the length due to change in temperature. b. Error of the tape due to tension. c. Corrected length of the line.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A line was determined to be 3,069.72 m when measured with a 50-m steel tape
supported throughout its length under a pull of 5 kg at a mean temperature of
36°C. The tape used is of standard length at 20°C under a pull of 6 kg.
Cross-sectional area of the tape is 0.04 cm
2
. Coefficient of thermal expansion
is 0.0000116/°C. Modulus of elasticity of tape is 2x10
6 kg/cm
2
.
Calculate the following:
a. Error in the length due to change in temperature.
b. Error of the tape due to tension.
c. Corrected length of the line.
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