Show full solutions. 1. A line was measured to be 3256.35m using a30m steel tape supported throughout its lengthunder a pull of 4.6kg. The mean temperatureduring measurement is 35 degree-Celsius. Thetape used has a cross sectional area of 0.028square centimeters and has a standard lengthof 20 degree-Celsius under a pull of 5.0kg. Themodulus of elasticity of the tape material is 2 x10^6 kg/cm^2 and the coefficient of thermalexpansion is 0.0000116 per degree-Celsius.a. Determine the error due to temperaturechange.b. Determine the error due to tension.c. Determine the corrected length of the line.

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Answered: 1. A line was measured to be 3256.35m…

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 measured to be 2400-m when measured with a 50-m steel tape supported throughout its length under a pull of 4-kgs and at a mean temperature of 18-degree Celsius, and tape used is of standard length at 20-degree Celsius under a pull of 5-kgs. The cross-sectional area of the tape is 0.04 sq. cm. Determine the correct length of the line for the combined effects of tension, sag, and temperature. Assume the coefficient of linear expansion of the tape to be equal to 0.000016 per degree Celsius, and the modulus of elasticity of steel is 2.5 x 106 kg/cm2. Illustrate.
A line is recorded as 475.25 m long. It is measured with a 6.5 N tape which is 30.492 m long at 680F under a 10 lb. pull supported at end points. During measurement the temperature is 4.50C and the tape is suspended under a 71 N pull. The line is measured on 3% grade. What is the true horizontal distance? Modulus of elasticity of the tape is 1.93 X 108 KPa and cross-sectional area of tape is 0.0284 cm2. Coefficient of expansion of the tape material is 0.0000116 m/0C.
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. 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 /cm²b. 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 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 30-m steel tape weighing 1.75 kg is of standard length under a pull of 4.55 kg, supported for full length. This tape was used in measuring a line (found to be 1371.50 m) on smooth level ground under a steady pull of 8 kg. Assuming E = 2.05x106 kg/cm2 and that the unit weight of steel is 7.9x19-3 kg.cm3, determine the following: cross-sectional area of the tape, correction for increase in tension for the whole length measured, and the correct length of the measured line. Please include the complete solution
A rectuangular wooden beam ( fb = 7.0 MPa, E = 12.9 GPa) ha s across-sectional area of300 mm by 600 mm. The beam has a simple span of five meters. A vibrating machine weighing800 kg is located at the midspan. The machine is working under a constant force of 500 N andaccidentally stopped after 0.7 sec (rectangular pulse). Determine the following:Stiffness, ? = _____________________Angular natural frequency, ?? = _________________ Displacement at t = 0.7 seconds ?(? = 0.7) = _______________________Displacement at t = 1.5 seconds ?(? = 1.5) = _______________________(???)? = _______________
A 50-m steel tape is of standard length under a pull of 55 N and a temperature of 20°C when supported throughout its entire length. The tape weighs 0.055kg/m, has a cross sectional area of 0.04 cm² and a modulus of elasticity of 2x10⁶ kg/cm². This tape was used in the field to measure a distance that was determined to be 501.650 m. At the time the measurement was made, the constant pull applied was 80 N with the tape supported only at endpoints. During the measurement the temperature was observed to be at an average of 18°C. Use a = 11.6x10-6 m/"C a. Determine the correction due to tension. b. Determine the correction due to change in temperature. C. Determine the correction due to sag. d. Determine the correct length of the line.
A 50-m steel tape is of standard length under a pull of 55 N and a temperature of 20°C when supported throughout its entire length. The tape weighs 0.055kg/m, has a cross sectional area of 0.04 cm² and a modulus of elasticity of 2x106 kg/cm². This tape was used in the field to measure a distance that was determined to be 501.650 m. At the time the measurement was made, the constant pull applied was 80 N with the tape supported only at endpoints. During the measurement the temperature was observed to be at an average of 18°C. Use a = 11.6x10-6 m/" a Determine the correction due to tension. b. Determine the correction due to change in temperature. C. Determine the correction due to sag. d. Determine the correct length of the line.
Problem 3. A 50-m steel tape is of standard length under a pull of 55 N and a temperature of 20°C when supported throughout its entire length. The tape weighs 0.055kg/m, has a cross sectional area of 0.04 cm² and a modulus of elasticity of 2x106 kg/cm². This tape was used in the field to measure a distance that was determined to be 501.650 m. At the time the measurement was made, the constant pull applied was 95 N with the tape supported all throughout. During the measurement the temperature was observed to be at an average of 30°C. Use a = 11.6x10-6 m/°C. Determine the correct length of the line.
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.
Determine the normal tension required to make a tape exactly 30.0 m between its ends when used in an unsupported mode, if the tape has a cross-sectional area of 0.045cm2 and weighs 0.90 kg. Assume that the tape is exactly 30.0 m when supported throughout its length under a standard pull of 6.0 kg, and its modulus of elasticity is 2.10x106 kg/cm2. Where: PN = normal tension or the pull which will eliminate the effect of sag (kg) W = total weight of tape between supports (kg) A = cross- sectional area of tape (cm2) E = modulus of elasticity of tape material (kg/ cm2) Ps = standard pull for the tape (kg
To measure a distance, Neslyn utilized a 30m steel tape. The tape was eventually discovered to be 0.03m too short. Do you think the tape has a 4mm cross-section? 0.3627N/m weight, and At a temperature of 25°C and a pull of 55N, it was standardized. The tape was kept horizontal and sustained at midspan with a constant tension of 50N during the measurement. At the time of measurement, the temperature was 30.7°C. Determine the adjusted distance if the measured distance is 420.67m (m). 3. Decimal places round your answer.

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