A 30-m steel tape is found to be 0.02 too short when standardized under a pull of 5.500 kg temperature of 20C, fully supported throughout the length. The tape weighed 1.22 kg and had a cross-sectional area of 0.016 cm^2. What is the corrected horizontal length of a recorded distance AB,  28.580 long if the tape was used at 8 kg applied tension, supported both ends. The temperature was reported to be 30C during measurement.  The difference in elevation between A and B is 3m.  Answer this problem in the following order: a.  Write or list down the quantities along with their values given in the problem.  b.  Enumerate the errors that can be eliminated or reduced so that distance AB be corrected.  c.  From b,  compute their total error for one tape length.  d.  From b,  compute  their total individual error for line AB.  e.  Compute the corrected length of line AB.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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A 30-m steel tape is found to be 0.02 too short when standardized under a pull of 5.500 kg temperature of 20C, fully supported throughout the length. The tape weighed 1.22 kg and had a cross-sectional area of 0.016 cm^2. What is the corrected horizontal length of a recorded distance AB,  28.580 long if the tape was used at 8 kg applied tension, supported both ends. The temperature was reported to be 30C during measurement.  The difference in elevation between A and B is 3m.  Answer this problem in the following order:

a.  Write or list down the quantities along with their values given in the problem. 

b.  Enumerate the errors that can be eliminated or reduced so that distance AB be corrected. 

c.  From b,  compute their total error for one tape length. 

d.  From b,  compute  their total individual error for line AB. 

e.  Compute the corrected length of line AB. 

 

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