A steel tape standardized at 25degree celsius and supported throughout under a tension of 73N was found to be 30.004m long. The tape had a cross sectional area of 5mm^2 and a weigh of 45g/m. This tape was used supported at the ends only with a constant tension of 75N to measure a line from A to B in nine segments. The data given in table 1 were recorded. Apply correction for tape, length, temperature, pull,sag and tape not horizontal to determine the correct length of the line Table 1. Recorded data for nine segments measurements Measured Difference in Temperature (°C) Section (Recorded Distance, m) Elevation (m) A-1 30 15 0.384 1-2 30 15 0.293 2-3 30 16 0.183 3-4 30 16 0.247 4-5 30 16 0.372 5-6 30 17 0.628 6-7 30 17 0.774 7-8 30 17 0.817 15.73 8-B 18 0.570

A steel tape standardized at 25degree celsius and supported throughout under a tension of 73N was found to be 30.004m long. The tape had a cross sectional area of 5mm^2 and a weigh of 45g/m. This tape was used supported at the ends only with a constant tension of 75N to measure a line from A to B in nine segments. The data given in table 1 were recorded. Apply correction for tape, length, temperature, pull,sag and tape not horizontal to determine the correct length of the line Table 1. Recorded data for nine segments measurements Measured Difference in Temperature (°C) Section (Recorded Distance, m) Elevation (m) A-1 30 15 0.384 1-2 30 15 0.293 2-3 30 16 0.183 3-4 30 16 0.247 4-5 30 16 0.372 5-6 30 17 0.628 6-7 30 17 0.774 7-8 30 17 0.817 15.73 8-B 18 0.570

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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B.) A line MQ was measured to be (2582.45 m) using a (30-m) steel tape supported throughout its length under a pull of (5.5 kg). The mean temperature during the measurement is (33° C). The tape used has a cross-sectional area (0.03 cm) and has a standard length at (20°C) under a pull of (9 kg). The modulus of elasticity of the tape is (2x10 kg/em) and the coefficient of thermal expansion is (0.0000116"C). Find the total correction and the corrected length of the line? (25Marks)
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A 30 m tape weighing 1.150 kg is of the standard length under a pull of 5.000 kg supported for a full length. The tape was used in measuring a line 938.550 m long on a smooth level ground under a steady pull of 10.000 kg Assume E = 2.0x10⁶ kg/cm² and unit weight of the steel to be 7.9x10^-3 kg/cm³, determine the following correct length of the Ene measured. • Find the correct length of line in meters • Find the sag correction in meters
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