A line was determined to be 2459.52 m when measured with a 30-m steel tape supported throughout its length under a pull of 3.8 kg and at a mean temperature of 34°C. Determine the correct length of the line if the tape used is of standard length at 20°C under a pull of 5 kg. The cross-sectional area of the tape is 0.03 cm2, its coefficient of linear expansion is 0.0000116 1°C and the modulus of elasticity of steel is 2.0 x 10 k

A line was determined to be 2459.52 m when measured with a 30-m steel tape supported throughout its length under a pull of 3.8 kg and at a mean temperature of 34°C. Determine the correct length of the line if the tape used is of standard length at 20°C under a pull of 5 kg. The cross-sectional area of the tape is 0.03 cm2, its coefficient of linear expansion is 0.0000116 1°C and the modulus of elasticity of steel is 2.0 x 10 k

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Find the elongation of a bar where diameter 100mm under the action of axial force of 40kn length of the bar is 2m and E= 2×108 kn/m2
A line is measured on a uniform slope with a 30 m steel tape pulled with a force of 5 kg and is found to be 575m long. The temperature at the time of measurement is 1 C. the tape is standardized at 17 C and at a pull of 5 Kg. the different of level of the two ends of the line is 10m . Determine the horizontal distance between the two ends of the line. Coefficient of expansion is 11.5 X 10^-6 degree centigrade (C) .
What must be the pull in a (7)(10) meters tape in order to eliminate the sag and temperature correction, given the following? a = 7x10% m? E = 2x101 N/m? Weight of tape, 11 N Po = 10kg To = 22°C T = 20°C K= 0.0000116/°C The tape length is supported at both ends. Fundamentals of surveying
A 30 m tape steel tape weighing 0.7 kg has a cross-sectional area of 0.03cm² and a standard length of 30.005m when fully supported at 20°C, and with 5 kg tension. A line on a smooth level ground is measured with the tape under the tension of 10 kg at a temperature of 20°C and is recorded as 1242.823 m long. Compute the correction for the increase in tension. K = 2 100 000 kg /cm². This same tape is used to measure a distance recorded as 985.423 m over level terrain with the tape supported at the two ends and 5kg of tension (temperature of 20°C). Calculate the correction due to sag for this distance.
A beam with length L is fixed at both ends. It is loaded with a concentrated force P at L/3 from the first support. Draw the loading diagram. If the beam has a length of 10 m, cross section of 200x200mm, and force P is 10 kN, what is the deflection at midspan (in mm)?
A line is regarded as 485 m long. It is measured with a 500 grams tape which is 30.05 m long at 20°C under a 4.5 kg pull supported throughout its length. During measurement the temperature is 4.5°C and the tape is suspended under a 6.5 Kg pull. The line is measured at 3% grade. What is the true horizontal distance? ◦E=2x106 kg/cm2 ◦v =126.54 cm3/kg Given: Nominal Tape Length L1 Total weight of tape W Standard Temperature of Tape T1 Temperature during measurement T2 Standard Pull of Tape P1 Pull applied during measurement P2 Measured Distance Di correction due incorrect tape length Ci Ground slope S Cross-sectional area of the tape A Solution correction per tape length (correction per 30-m length) incorrect tape length CI Question Blank 11 of 20 meter temperature correction CT Question Blank 12 of 20 meter pull correction CP Question Blank 13 of 20 meter sag correction CS Question Blank 14 of 20 meter slope correction (approximate method) CSL…
In every measurement, 100 m tape is suspended at the ends under a pull of 15 kg. It also supported at 30 m and 75 m marks. If the tape is used to measure a 543.25 m long line, determine the total correction due to SAG? The tape weighs 5 kg.
A line is recorded as 472.60 m long. It is measured with a 0.68 kg. tape which is 30.002 m long at 20 degrees Celsius under a 4.45 kg. pull, supported throughout its length. During measurement, the temperature is 4.44 degrees Celsius and the tape is suspended under a 6.80 kg. pull. Assume E=1.97x10E6 kg/sq. cm., cross-sectional area of tape is 0.0284 sq. cm., and coefficient of linear expansion is 0.0000116/degree Celsius.
A 50-m steel tape weighs 1.05 kg and is supported at its endpoints and the 10-m and 25-m marks. If a pull of 6.0 kg is applied at the ends of the tape, what is the correction due to sag for a full tape length? a. 0.060 m b. 0.064 m c. 0. 050 m d. 0.500 m
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.
. A beam with the thin-walled cross section in the figure is subjected to a shear force ?=20000lb. (The wall thickness is not shown to scale.). Assume that the thickness of the section isconstant. (a) Determine and sketch the distribution of the shear flows on the flanges and the web.(b) Determine the location of the shear center on the symmetrical line. Point ? is the center ofthe web.
What must be the pull in a 30m tape in order to eliminate the sag and temperature correction, given the following? a = 6x10^-6 m^2 E = 2x10^11 N/m^2 Weight of tape = 11 N Po = 7 kg To = 22 degrees Celcius T = 20 degrees Celcius K = 0.0000116/degrees celcius The tape length is supported at both ends.