SITUATION 1. The taped distance of line is 99.812 meters using a 100 m steel tape weighing 2 kg at a standard pull of 10 kg and a temperature of 32 °C. The difference in elevation between the end points is 45 centimeters. The tape is exactly 100m at a temperature of 28 °C. (supported throughout) and a standard pull of 10 kg if the coefficient of expansion of the tape is 0.0000118 and a pull is 10 kg was applied supported at 25 m interval during the measurement, find the following: a. b. Correction for temperature Correction for sag c. Slope correction d. Correction pull e. The correction horizontal distance of the line

SITUATION 1. The taped distance of line is 99.812 meters using a 100 m steel tape weighing 2 kg at a standard pull of 10 kg and a temperature of 32 °C. The difference in elevation between the end points is 45 centimeters. The tape is exactly 100m at a temperature of 28 °C. (supported throughout) and a standard pull of 10 kg if the coefficient of expansion of the tape is 0.0000118 and a pull is 10 kg was applied supported at 25 m interval during the measurement, find the following: a. b. Correction for temperature Correction for sag c. Slope correction d. Correction pull e. The correction horizontal distance of the line

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 line was recorded as 1750.00 meters long. The standard tape weighs0.65 kg , 30.00m long at 20°C under a 50N pull. During the actualobservation the temperature was 5°C and the tape was suspended undera 75N pull. It was also found that the tape is 3.00mm too long. If the linewas inclined at 3%. E = 200GPa, A = 2.50mm² and the coefficient of linearexpansion is 0.0000116 m/°C.(a) What is the actual inclined distance?(b) What is the actual horizontal distance.
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)
Prob 2. (15pts) A line was found to be (2865.35+y)m long when measured with a 30-m tape under a steady pull of (6.5+y) kg at a mean temperature of 300C. Determine the correct length of the line if the tape used is of standard length at 200c under a pull of 5.5kg. Assume the cross-sectional area of tape to be 0.025cm2, elastic modulus as 2.10 x 106 kg/cm2, and coefficient of thermal expansion to be 0.0000116/ec.
A line is recorded as 472.90m long. It is measured with a 0.65kg tape which is 30.005m long at 20C under a 50N pull supported at both ends. During measurement, the temperature is 5C and the tape is measured on 3% grade. E=200GPa. cross sectional area of tape is 3mm and the coefficient of linear expansion is 0.0000116m/"C. A) how did you assume the value of pull at temperature 5 degrees is 75N ....
A steel tape of nominal length 30m was suspended between supports to measure the length of a line. The measured length of the line on slope of angle 30 50’ is 29.859m. The mean temperature during the measurement was 120c and the pull applied was 100N. If standard length of the tape is 30.005m at 200c and the standard pull is 45N, calculate the corrected horizontal length. Take:-  w= 0.15N/m  A= 2.5mm2 ᾱ= =1.15*10-5 /0c  E=2.0*105N/mm2
9. A 50 meter steel tape was standardized and supported throughout its whole length and found to be 0.0025m. Ionger at an observed temperature of 31.8°C and a pull of 10 kilos. The tape was used to measure a line which was found to be 662.702 m. at an average temperature of 24.6°C using the same pull. What is the correct length of the line? Use coefficient of expansion of 0.0000116 m. per centigrade. a) 662.67377m. b) 664.46566m. c) 669.34322m. d) 660.82883m.
An engineer used a 30 m tape in measuring an inclined ground 459.20 m long. The difference between the starting point and end point is 1.20 m. The tape is of standard length at a temperature of 100 C and a pull of 50 N. During measurement the temperature reading was 15 0 C and a pull of 75N applied at both ends. A= 6.5mm2 ; E = 200GPa; K = 0.0000116 m/C0 . The mass of the tape is 0.075kg/m. Determine the horizontal distance.
A line was found to be 2850 m long when measured with a 50-m tape under a steady pull of 6.0 kg at a mean temperature of 30°C. The tape was held in the air and supported at both ends and at every 10-m mark, 25-m mark and 40-m mark in the tape. Determine the correct length of the line if the tape used is of standard length at 20°C under a pull of 5.5 kg. Assume the cross-sectional area of tape to be 0.02 cm2 , coefficient of thermal expansion to be 0.0000116/°C and the modulus of elasticity of steel is 2.10 x 106 kg/cm2.
If the block is 1000kg, determine the value of frictional force if P is equal to 3200N. Usubstatic=0.50, Usubkinetic=0.35. A. 9810N B. 0 C. None of these D. 4905N
A civil engineer used a 30-m tape in measuring an inclined distance. The measured length of the slope was recorded to be 425.20m long the difference in elevation between the initial point and the end point was found to be 1.25 m. The 30-m tape is of standard length at a temperature of 10 deg. C and the tape was supported at both ends with an applied pull of 75 N. The cross-sectional are of the tape is 6.50 mm^2 and the modulus of elasticity is 200 GPa. The tape has a linear density of 0.075 kg/m, α = 0.0000116/dec. C. Neglect corrections due to sag. Determine the horizontal distance.
The tape is A line was measured with a 30-m steel tape and its measured direction with the use of compass was S 87d 54m standardized at 20•C and with a pull of 10 kg. It was used for measuring the 144.35m length supported at the ends only with applied pull of 10 kg and temperature 10 C. Assuming the coefficient of linear expansion of the tape is 0.0000116/°C. It has a modulus of elasticity of 2.10x106 kg/sq. cm, cross-section area of 0.05 cm2, and a weight of 0.03 kg/m. Compute for the following: Item Answer Sag Correction Temperature Correction Pull Correction Combined Correction Corrected Length In addition, compute for the true bearing of the measured line if the magnetic declination is 3d 20m W at that time?
A 50 m steel tape is used to measure a rectangle at 20°C with a pull of 55 N. The sides are recorded as 155.90 m and 121.00 m. The average temperature during measurement is 30°C with a pull of 55 N. C = 0.0000116/°C. Compute the total corection for the width.