2. A 30-m steel tape weighing 1.75 kg is of standard length under a pull of 4.55 kg, supported for fulllength. This tape was used in measuring a line (found to be 1371.50 m) on smooth level ground undera steady pull of 8 kg. Assuming E = 2.05 x 10° kg/cm? and that the unit weight of steel is 7.9 x 10kg/cm, determine the following: cross-sectional area of the tapecorrection for increase intension for the whole tape length measuredand the correct length of the measured line.

Given: The standard length of the tape is 30 m. The weight of the tape is 1.75 kg. The standard pull…

Answered: A 30-m steel tape weighing 1.75 kg is…

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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QUESTION 21: A 50m tape of standard length has weight of 0.05kg/m, with a cross sectional area of 0.04sqcm. It has a modulus of elasticity, E = 2x106 kg/cm² The tape is of standard length under a pull of 5.5kg when supported throughout its length and a temperature of 20°C. This tape was used to measure a distance between A and B and was recorded to be 458.65m long. At the time of measurement, the pull applied was 8kg with the tape supported only at its endpoints and the temperature observed was 18°C. Assuming coefficient of expansion of steel tape as 0.0000116/°C. a) Compute the correction due to the applied pull. b) Compute the correction due to sag of the tape. c) Compute the true length of the measured line AB due to the combined effects of applied pull, sag and temperature.
SITUATION I: A 50-m steel tape is of standard length under a pull of 5kg and a temperature of 22 degree celcius when supported throughout its entire length. The tape weighs 0.06 kg/m, has a cross section area of 0.06 cm'and a modulus of elasticity of 2x10°kg/cm?. The tape was used in the field to measure a distance that was determined to be 525.48. At the time the measurement was made, the constant pull applied was 10kg with the tape supported only at endpoints. During measurement, the temperature was observed to be at an average of 19 degree Celsius. Use alpha a= 12.36x10/degree celcius. 1. Determine the correction due to tension. a. 0.021898 m b. 0.021895 m c. 0.021911 m d. 0.021589 m 2. Determine the correction due to temperature. a. 0.01984 m b. 0.01968 m c. 0.01986 m d. 0.01948 m 3. Determine the correction due to sag. а. 1.8998 m b. 1.8898 m c. 1.8888 m d. 1.9898 m 4. Find the corrected length of the line a. 523.5826 m b. 524.5823 m c. 525.6832 m d. 526.3628 m
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.
If the section shown in the figure turns from fully-elastic to fully-plastic, the depth of neutral axis (N.A), y, decreases by 60 y I 5 4 N.A. *20* ]] 60
1. A tape measure 1.25 cm wide x 0.40 mm thick having an elastic modulus E = 1.6 GPa is used to measure the lake frontage of a home lot which is priced at $50,000/m of frontage. In making the measurement, the tape is pulled tight and straight with 20.0 N of force. a. What value would the tape measure indicate for an actual length of 100.0 m? (The scale marks or graduations were printed on the tape under zero load.) b. Who has the advantage due to the elasticity of the tape measure, the buyer or the seller? Explain.
A distance of 412.3 m was measured using a steel tape with a nominal length of 30 m, a cross-sectional area a = 0.000004 and a support gap of its entire length under a tensile force of ps = 5.5 kg, temperature 20 °, use the tape to measure the height difference between their ends (20) m (d = 20) The tape was supported with full strength, the height = 500 m above sea level, the temperature during the measurement in it = 12°, the tensile force applied during the measurement was p = 8 kg, the real length of the tape = 30.2 m, the coefficient of thermal expansion was α = 000006 and the modulus of elasticity E=203.23 × 10 ^6 kg /m^2 Determine the correct
! use the given datas on solving ! refer image when needed. A 30 m steel tape weighing 14.23 N is of standard length under a pull of 7 kg, supported for full length. The tape was used in measuring a line 789.25 m long on smooth level ground under a steady pull of 12 kg. Assume E=2*10^ 6 kg/cm^ 2 and the unit weight y of the steel to be 7.9*10^ -3 kg/cm^ 3 . a) Determine the cross-sectional area of the tape. Hint: y = W/V b) Determine the correction due to pull for one tape length. c) Determine the total correction due to pull. d) Determine the corrected distance.
1. A 30 m tape weighing 1.55 kg is a standard length under a pull of 5.5 kg supported for full length. The type was used in measuring a line 939.55 mm long on a smooth level ground under a steady pull of 15 kg. Assuming e=2.0x10^6 kg/cm^2 and the unit weight of steel to be 7.9x10^-3 kg/cm^3, determine the correct length of the line.a. 939.62b. 939.55c. 939.45d. 939.82
The hammer of an impact testing machine weighs 120 lbs. As shown in figure , it is attached to the end of a light rod 5 feet long which is pivoted to a horizontal axis at A.
A 50 m tape weighing 0.049 kg/m with a cross-sectional area of 0.05 sq. cm and modulus of elasticity equal to 2x106 kg/cm2 is used in determining the distances between two points. The tape is of standard length under a pull of 6.70 kg and a temperature of 25°C when supported throughout its entire length. The tape was then used in the field to measure a distance that was determined to be 378.123 m. At the time the measurement was made, the constant pull applied was 9 kg with the tape supported only at endpoints. During the measurement the recorded temperature was 17°C. Use o=11.6x10-6/C. Determine the correct length (in feet)of the line. Youranswer
A line was found out to be 2865.35 m long when measured with a 30-m tape under a steady pull of 6.5 kg at a mean temperature of 30 degC. Determine the correct length of the line if the tape used is of standard length at 20 degC under a pull of 5.5 kg. Assume that the cross-sectional area of the tape is 0.025 cm², elastic modulus of tape is 2.10 x 106 kg/cm? and coefficient of linear expansion of steel is 11.6 x 106 per degC.

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