50-m steel tape is of standard length under a pull of 55 N and a temperature of 20°C when supported throughout its entire length. The tape weighs 0.055kg/m, has a cross sectional area of 0.04 cm² and a modulus of elasticity of 2x10⁶ kg/cm². This tape was used in the field to measure a distance that was determined to be 501.650 m. At the time the measurement was made, the constant pull applied was 80 N with the tape supported only at endpoints. During the measurement the temperature was observed to be at an average of 18°C. Use a = 11.6x10-6 m/"C a. Determine the correction due to tension. b. Determine the correction due to change in temperature. C. Determine the correction due to sag. d. Determine the correct length of the line.

50-m steel tape is of standard length under a pull of 55 N and a temperature of 20°C when supported throughout its entire length. The tape weighs 0.055kg/m, has a cross sectional area of 0.04 cm² and a modulus of elasticity of 2x10⁶ kg/cm². This tape was used in the field to measure a distance that was determined to be 501.650 m. At the time the measurement was made, the constant pull applied was 80 N with the tape supported only at endpoints. During the measurement the temperature was observed to be at an average of 18°C. Use a = 11.6x10-6 m/"C a. Determine the correction due to tension. b. Determine the correction due to change in temperature. C. Determine the correction due to sag. d. Determine the correct length of the line.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter10: Force And Force-related Variables In Engineering

Section: Chapter Questions

Problem 28P

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