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A base line was measured in four lengths giving 30.126, 29.973, 30.066, and 22.536 m. The differences of level were respectively 0.45, 0.60, 0.30, and 0.45 m. The temperature during observation was 10°C and the tension applied is 15 kg. The tape was standardized as 30 m, at 20°C, on the flat with a tension of 5 kg. The coefficient of expansion was 0.000011 per °C, the weight of the tape is 1 kg, the cross-sectional area is 3 mm, E=210×10³ N/mm², gravitational acceleration g=9.80665 m/s². a. Calculate the correct distance of the baseline. b. What tension should have been applied to eliminate the sag correction?

A base line was measured in four lengths giving 30.126, 29.973, 30.066, and 22.536 m. The differences of level were respectively 0.45, 0.60, 0.30, and 0.45 m. The temperature during observation was 10°C and the tension applied is 15 kg. The tape was standardized as 30 m, at 20°C, on the flat with a tension of 5 kg. The coefficient of expansion was 0.000011 per °C, the weight of the tape is 1 kg, the cross-sectional area is 3 mm, E=210×10³ N/mm², gravitational acceleration g=9.80665 m/s². a. Calculate the correct distance of the baseline. b. What tension should have been applied to eliminate the sag correction?

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A base line was measured in four lengths giving 30.126, 29.973, 30.066, and 22.536 m. The differences of level were respectively 0.45, 0.60, 0.30, and 0.45 m. The temperature during observation was 10°C and the tension applied is 15 kg. The tape was standardized as 30 m, at 20°C, on the flat with a tension of 5 kg. The coefficient of expansion was 0.000011 per °C, the weight of the tape is 1 kg, the cross-sectional area is 3 mm, E=210×10³ N/mm², gravitational acceleration g=9.80665 m/s². a. Calculate the correct distance of the baseline. b. What tension should have been applied to eliminate the sag correction?
Transcribed Image Text:A base line was measured in four lengths giving 30.126, 29.973, 30.066, and 22.536 m. The differences of level were respectively 0.45, 0.60, 0.30, and 0.45 m. The temperature during observation was 10°C and the tension applied is 15 kg. The tape was standardized as 30 m, at 20°C, on the flat with a tension of 5 kg. The coefficient of expansion was 0.000011 per °C, the weight of the tape is 1 kg, the cross-sectional area is 3 mm, E=210×10³ N/mm², gravitational acceleration g=9.80665 m/s². a. Calculate the correct distance of the baseline. b. What tension should have been applied to eliminate the sag correction?
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