Exercise 2.1 A 100- m steel tape is used to measure the distance of the line and found to be 1539.28 m long. During measurement, the tape is supported the ends under a pull of 10 kg and the observed mean temperature is 31 deg. celsius. The tape is of standard temperature of 20 deg. celsius and a tension of 12 kg. The cross sectional area of the tape is 0.035 sq. cm. The coefficient of linear expansion is 0.0000116/ deg. celsius and the modulus of elasticity of steel is 2.0 x 106 kg/ sq. cm. The tape weighs 1.5kg. a) Determine the total correction for temperature. b) Determine the total correction due to sag. c) What is the correct length of the line?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Exercise 2.1 A 100- m steel tape is used to measure the distance of the line and found to be 1539.28 m
long. During measurement, the tape is supported the ends under a pull of 10 kg and the observed mean
temperature is 31 deg. celsius. The tape is of standard temperature of 20 deg. celsius and a tension of
12 kg. The cross sectional area of the tape is 0.035 sq. cm. The coefficient of linear expansion is
0.0000116/ deg. celsius and the modulus of elasticity of steel is 2.0 x 106 kg/ sq. cm. The tape weighs
1.5kg.
a) Determine the total correction for temperature.
b) Determine the total correction due to sag.
c) What is the correct length of the line?
Transcribed Image Text:Exercise 2.1 A 100- m steel tape is used to measure the distance of the line and found to be 1539.28 m long. During measurement, the tape is supported the ends under a pull of 10 kg and the observed mean temperature is 31 deg. celsius. The tape is of standard temperature of 20 deg. celsius and a tension of 12 kg. The cross sectional area of the tape is 0.035 sq. cm. The coefficient of linear expansion is 0.0000116/ deg. celsius and the modulus of elasticity of steel is 2.0 x 106 kg/ sq. cm. The tape weighs 1.5kg. a) Determine the total correction for temperature. b) Determine the total correction due to sag. c) What is the correct length of the line?
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