21: A 50m tape of standard length has weight of 0.05kg/m, with a cross sectional area of 0.04sqcm. It has a modulus of elasticity, E = 2x106 kg/cm² The tape is of standard length under a pull of 5.5kg when supported throughout its length and a temperature of 20°C. This tape was used to measure a distance between A and B and was recorded to be 458.65m long. At the time of measurement, the pull applied was 8kg with the tape supported only at its endpoints and the temperature observed was 18°C. Assuming coefficient of expansion of steel tape as 0.0000116/°C. a) Compute the correction due to the applied pull. b) Compute the correction due to sag of the tape. c) Compute the true length of the measured line AB due to the combined effects of applied pull, sag and temperature.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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QUESTION 21:
A 50m tape of standard length has weight of 0.05kg/m, with a cross sectional
area of 0.04sqcm. It has a modulus of elasticity, E = 2x106 kg/cm² The tape is of
standard length under a pull of 5.5kg when supported throughout its length and a
temperature of 20°C. This tape was used to measure a distance between A and B
and was recorded to be 458.65m long. At the time of measurement, the pull
applied was 8kg with the tape supported only at its endpoints and the
temperature observed was 18°C. Assuming coefficient of expansion of steel tape
as 0.0000116/°C.
a) Compute the correction due to the applied pull.
b) Compute the correction due to sag of the tape.
c) Compute the true length of the measured line AB due to the combined effects
of applied pull, sag and temperature.
Transcribed Image Text:QUESTION 21: A 50m tape of standard length has weight of 0.05kg/m, with a cross sectional area of 0.04sqcm. It has a modulus of elasticity, E = 2x106 kg/cm² The tape is of standard length under a pull of 5.5kg when supported throughout its length and a temperature of 20°C. This tape was used to measure a distance between A and B and was recorded to be 458.65m long. At the time of measurement, the pull applied was 8kg with the tape supported only at its endpoints and the temperature observed was 18°C. Assuming coefficient of expansion of steel tape as 0.0000116/°C. a) Compute the correction due to the applied pull. b) Compute the correction due to sag of the tape. c) Compute the true length of the measured line AB due to the combined effects of applied pull, sag and temperature.
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