A tape 30 m long, 0.6 cm wide and 0.5 mm thick was used to measure a distance of-1000 m at a temperature of 20°C with 120N tension force, mass of tape is 0.7 kg,determine coefficient of thermal expansion of a tape, if:роStandard tension = 50NModulus of elasticity (E) = 210 kN/mm²Standard temperature 35 °CCorrect measured distance = 999.75 m

Given:- The length of the tape = 30 m The width of the tape = 0.6 cm = 0.006 m The thickness of…

A tape 30 m long, 0.6 cm wide and 0.5 mm -1000 m at a temperature of 20°C with 120N tension force, mass of tape is 0.7 kg, thick was used to measure a distance of determine coefficient of thermal expansion of a tape, if: X=? ро Standard tension = 50N Modulus of elasticity (E) = 210 kN/mm² Standard temperature 35 °C Correct measured distance = 999.75 m

A tape 30 m long, 0.6 cm wide and 0.5 mm -1000 m at a temperature of 20°C with 120N tension force, mass of tape is 0.7 kg, thick was used to measure a distance of determine coefficient of thermal expansion of a tape, if: X=? ро Standard tension = 50N Modulus of elasticity (E) = 210 kN/mm² Standard temperature 35 °C Correct measured distance = 999.75 m

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

A line was found to be 2,395.25 m long when measured with a 30 m tape under a steady pull of 3 kg. at a mean temperature of 30°C. The tape was held in the air and supported at both ends and at every one third of 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 kg. Assume the cross-sectional area of tape to be 0.02 cm2, Elastic Modulus as 2.10 x 106kg/cm2, weighs 0.05 kg/m, and a Coefficient of Thermal Expansion to be 0.0000116/°C.
A steel tape is 100 m long at a temperature of 20 degrees Celsius and a pull of 10 kg. It was used to measure a distance of 624.95 m at a temperature of 32 degrees Celsius with an applied pull of 15 kg during the measurement with the tape supported at both ends. Coefficient of thermal expansion is 0.0000117 per degrees Celsius and a modulus of elasticity of 2x10^6 kg/cm^2. Weight of the tape is 0.05 kg/m and a cross sectional area of 0.06 cm^2. Compute the Corrected Length of the Line
The measured distance of two locations is 88.812 m using a 100 m. steel tape at a pull of 15 kg and temperature of 35 °C. The tape is exactly 100 m., weighing 0.02 kg/m, at a temperature of 20 °C (when supported throughout) and a standard pull of 12 kg. If the coefficient of expansion of the tape is 11.6 x10°/°€ and supported at L. = 40 m. interval during the measurement, find the following: a.) Total correction tor temperature b.) Total sum of correetion for sag from 0 to 88.812 m at 40 m interval. c.) Adjusted distance
A steel tape is 100 m long at a temperature of 20°C and a pull of 10 kg. It was used to measure a distance of 624.95 m at a temperature of 32°C with an applied pull of 15 kg during measurement with the tape supported at both ends. Coefficient of thermal expansion is 0.0000116/°C and a modulus of elasticity of 2x106kg/cm2. Weight of tape is 0.04 kg/m and a cross sectional area of 0.06 cm2. a) Compute the sag correction. b) Compute the total correction for tension, sag and temperature.c) Compute the corrected length of the line by applying the combined corrections for tension, sag and temperature
The taped distance of a line is 86.67 meters using a 100 m. steel tape at a pull of 20 kg and temperature a 32°C. The tape is exactly 100 m. at a temperature of 28°C (supported throughout) and standard pull of 10 kg. If the coefficient of expansion of the tape is 0.00001 18, find the total correction for temperature.
HELP PLEASE, COMPLETE SOLUTION AND ILLUSTRATION 4 DECIMAL PLACES A 100- m steel tape is used to measure the distance of the line and found to be 1539.28 m long. During measurement, the tape is supported the ends under a pull of 10 kg and the observed mean temperature is 31 deg. celsius. The tape is of standard temperature of 20 deg. celsius and a tension of 12 kg. The cross sectional area of the tape is 0.035 sq. cm. The coefficient of linear expansion is 0.0000116/ deg. celsius and the modulus of elasticity of steel is 2.0 x 106 kg/ sq. cm. The tape weighs 1.5kg.a) Determine the total correction for temperature. b) Determine the total correction due to sag.c) Whatisthecorrectlengthoftheline?
to measure a base line, a steel tape 30m long standardised at 15 degree Celsius with a pull of 100N was used. Find the correction per tape length, if the temperature at the time of measurement was 20 degree Celsius and the pull exerted was 160N weight of 1cm3 of steel is 0.0786N and weight of the tape=8N, E=210000kg/m2, coefficient of expansion of tape per 1 degree celsius is 0.00000071.
Steve Roger measured a line and found it out to be 950 m long using a 20 – m tape under a steady pull of 4 kg at a mean temperature of 25°C. The tape was held in the air and supported at both ends and at the center. Determine the correct length of the line if the tape used is of standard length at 22°C under a pull of 6 kg. Assume the cross-sectional area of tape to be 0.05 cm2, modulus of elasticity as 2.10 x 10^6 kg/cm^2, weighs 0.08 kg/m, and a Coefficient of Thermal Expansion to be 0.0000116/°C.
To measure a base line, a steel tape 30 m long, standardised at 15º C with a pull of 80 N was used. Find the correction per tape length, if the temperature at the time of measurement is 25º C and the pull exerted is 150 N. Take Young’s modulus E = 2 × 10^5 N/mm2 and coefficient of thermal expansion α = 11.2 × 10^6/°C. Cross-sectional area of tape is 8 mm2.
A line was determined to be 2395.25m when measured with a 30-m steel tape supported throughout its length under a pull of 4kg at a mean temperature of 35 degree celcius. Tape used is of standard length at 20 degree celcius under a pull of 5kg. Cross-sectional area of the tape is 0.03 cm squared. Coefficient of thermal expansion is 0.0000116/ degree celcius. Modulus of elasticity of tape is 2x106kg/cm squared. a. Determine the error of the tape due to change in temperature. b. Determine the error due to tension c. Determine the corrected length of the line.
A line was determined to be 3,069.72 m when measured with a 50-m steel tape supported throughout its length under a pull of 5 kg at a mean temperature of 36°C. The tape used is of standard length at 20°C under a pull of 6 kg. Cross-sectional area of the tape is 0.04 cm 2 . Coefficient of thermal expansion is 0.0000116/°C. Modulus of elasticity of tape is 2x10 6 kg/cm 2 . Calculate the following: a. Error in the length due to change in temperature. b. Error of the tape due to tension. c. Corrected length of the line.
4. A steel tape is 100 m. long at 25°C with a pull of 10 kg. A line was measured and found to be 510.02 m. when the temperature was 35°C using the same pull. If the coefficient of thermal expansion is 0.0000065 /°C. what is the correct length of line?