4.A base line was measured by tape suspended in catenary under a pull of 145N, the mean temperature being 14°C. The lengths of various segments of the tape and the difference in level of the two ends of a segment are given in following Table

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter7: Deflections Of Trusses, Beams, And Frames: Work-energy Methods
Section: Chapter Questions
Problem 33P
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4.A base line was measured by tape suspended in catenary under a pull of 145N, the mean temperature being 14°C. The lengths of various segments of the tape and the difference in level of the two ends of a segment are given in following Table.

 

Difference in
Length
(m)
Вay/Span
level (m)
1
29.988
+ 0.346
2
29.895
- 0.214
3
29.838
+ 0.309
4
29.910
- 0.106
If the tape was standardized on the flat under a pull of 95 N at 18°C determine the correct
length of the line. Take
Cross-sectional area of the tape
3.35 mm?
Mass of the tape
0.025 kg/m
Coefficient of linear expansion
0.9 × 10° per °C
Young's modulus
14.8 × 10* MN/m?
Mean height of the line above M.S.L.
51.76 m
Radius of earth
6370 km
Transcribed Image Text:Difference in Length (m) Вay/Span level (m) 1 29.988 + 0.346 2 29.895 - 0.214 3 29.838 + 0.309 4 29.910 - 0.106 If the tape was standardized on the flat under a pull of 95 N at 18°C determine the correct length of the line. Take Cross-sectional area of the tape 3.35 mm? Mass of the tape 0.025 kg/m Coefficient of linear expansion 0.9 × 10° per °C Young's modulus 14.8 × 10* MN/m? Mean height of the line above M.S.L. 51.76 m Radius of earth 6370 km
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