Q.1. (30 Points) Measurement of four lengths is given in Table. Measured length (m) Temperature (°C) Tension (N) 29.899 18.0 178 2 29.901 18.0 178 3 29.882 18.1 178 4 29.950 17.9 178 The tape has a mass of 0.026 kg/m and a cross-sectional area of 3.24 mm?. It was standardized on the flat at 20°C under a pull of 89 N. The coefficient of linear expansion for the material of the tape is 0.000011 per °C, and Modulus of elasticity of the tape is 20.7*10º N/m². Determine the absolute total length.

Q.1. (30 Points) Measurement of four lengths is given in Table. Measured length (m) Temperature (°C) Tension (N) 29.899 18.0 178 2 29.901 18.0 178 3 29.882 18.1 178 4 29.950 17.9 178 The tape has a mass of 0.026 kg/m and a cross-sectional area of 3.24 mm?. It was standardized on the flat at 20°C under a pull of 89 N. The coefficient of linear expansion for the material of the tape is 0.000011 per °C, and Modulus of elasticity of the tape is 20.7*10º N/m². Determine the absolute total length.

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

please please give accurate answer. A line is recorded as 472.90 m long. It is measured with a 0.65 kg tape which is 30.005m long at 20°C under a 50 N pull supported at both ends. During measurement the temperature is 5°C and the tape is suspended under a 75 N pull. The line is measured of 3% grade. What is the true horizontal distance? E = 200 GPa, cross-sectional are of tape is 3 mm² and coefficient of linear expansion is 0.0000116 m/°C.
A 100m tape weighing 5.08 kg was used to measure a line. It was supported at the end points, midpoints, and quarter points and the tension applied is 60 Newtons the total measured distance is 2345.76 m, what is the correct distance of the line? A. 2343.67 C. 2341.55 B. 2344.63 D. 2342.76 In every measurement, a 100-meter tape is suspended at the ends under a pull of 15 kg. It is also supported at 30 m and 75 m marks. If the tape is used to measured 543.25 long line, determine the total correction due to sag? The tape weighs 5kg. A.±0.062 C. ±0.336 B. 542.914 D. 543.586 Ps. with solution, please.
Line AB was measured to be 2465.75 m when using a 100 m steel tape supported only at the ends under a pull of 9 kg and a mean temperature of 40°C. The tape is of standard length at 35 °C at a pull of 10 kg. The cross-sectional area of the tape is 0.035 cm.2. Determine the correct length AB.
A 100 m tape weighing 3 kg was standardized and found to be 0.02 m short at temperature of 10degC and a 30 N pull when supported throughout. The 1324.55 – meter distance measured is an inclined distance whose difference in elevation between the points is 2 m. What is the correct distance? a. 1 324.28 m b. 1 234.18m c. 1 345.83 m d. 1 432.11 m
SHOW SOLUTION A steel tape with a cross-sectional area of 0.03 cm2 is 50.0 m long under a pull of 7 kg when supported throughout. It is used in measuring a line 2750.0 m long under a steady pull of 10 kg. Assuming E = 2.0 x 106 kg per cm2. Determine the correct length of the line due to tension.A) 2750.1375 m B) 2749.9975 m C) 2750.0025 m D) 2749.8625 m
A 50m tape weighing 0.03kg/m is used to measure distance AB. The tape is supported at both end points and at its midspan and then applied tension is 6kg. Determine the total sag correction if the measured distance is 1,320.50m.
12. A tape is 30 m. long having a modulus of elasticity of 2.0 x 106 kg/cm2 and area of 0.03 cm2 under a pull of 5.5 kg. Compute the correction due to a pull of 4.0 kg. when it is used to measure a distance of 936.42 m.
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…
Use double integration method P = 54 a = 3 L = 7
A 50 m tape of standard length has weight of 0.05 kg/m, cross section is 0.04sq cm, E is 2.10 x10 6 kg/sq cm. The tape is of standard length under a pull of 5.5 kg when supported throught its length. This tape was used to measure a distance AB and was recorded to be 458.65 m. at time of measurement the pull applied was 8 kg with the tape supported only at its endpoints and temperature observed was 18°C. Solve for the pull correction for the measured line.
A steel tape is 100 m long at a temp. of and a pull of 10 kg. It was used to measure a distance of 624.95 m at a temp. of with an applied pull of of 15 kg during measurement with the tape supported at both ends. Weight of tape is 0.04kg/m and a cross sectional area of Compute the sag correction.
elementary surveying A 30-m tape weighing 1.5kg is of standard length under a pull of 6kg, supported for full length. The tape was used in laying a line 2,893.4m long on smooth level ground under a steady pull of 17kg. Assuming E = 3.2x10⁶ kg/cm² and the unit weight of steel to be 7.9x10⁻³ kg/cm³. 1.Determine the correction for increase in tension. 2.Determine the correct length of the line measured.