A baseline was measured with the tape being suspended in catenary under a pull of 100N and a mean temperature of 25°C. The lengths of various segments of the tape and the difference in level of the two ends of each segment are given in the following table: Span Length (m) Difference in level (mm) 1 99.80 +1,142.0 100.10 -1,487.0 3 100.20 -1,549.0 Cross sectional area of the tape = 4.0 mm2 Mass of the tape = 0.05 kg/m Modulus of Elasticity = 200 GPa Mean height of the line above M.S.L.= 1500m Radius of earth = 6370 km If the tape was standardized while being flat under a pull of 200N at 15°C, determine the correct length of the line in meters.
A baseline was measured with the tape being suspended in catenary under a pull of 100N and a mean temperature of 25°C. The lengths of various segments of the tape and the difference in level of the two ends of each segment are given in the following table: Span Length (m) Difference in level (mm) 1 99.80 +1,142.0 100.10 -1,487.0 3 100.20 -1,549.0 Cross sectional area of the tape = 4.0 mm2 Mass of the tape = 0.05 kg/m Modulus of Elasticity = 200 GPa Mean height of the line above M.S.L.= 1500m Radius of earth = 6370 km If the tape was standardized while being flat under a pull of 200N at 15°C, determine the correct length of the line in meters.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:A baseline was measured with the tape being suspended in catenary under a pull of 100N and a mean temperature of 25°C. The
lengths of various segments of the tape and the difference in level of the two ends of each segment are given in the following table:
Span Length (m) Difference in level (mm)
1
99.80
+1,142.0
100.10
-1,487.0
3
100.20
-1,549.0
Cross sectional area of the tape
= 4.0 mm2
Mass of the tape
= 0.05 kg/m
Modulus of Elasticity
= 200 GPa
Mean height of the line above M.S.L.= 1500m
Radius of earth
= 6370 km
If the tape was standardized while being flat under a pull of 200N at 15°C, determine the correct length of the line in meters.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 3 images
Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning