A 50 m. tape of standard length has a weight of 0.05 kg/m, with a cross sectional area of 0.04 sq. cm. It has a modulus of elasticity of 2.10 x 106 kg/cm2. The tape is of standard length under a pull of 5.5 kg when supported throughout its length and a temperature at 200C. This tape was used to measure a distance between A and B and was recorded to be 458.65 m. long. At the time of measurement the pull applied was 8 kg. with the tape supported only at its end points and the temperature observed was 180C. Assuming coefficient of linear expansion of the tape is 0.0000116m/0C. 9. A civil engineer used a 30 m. tape in measuring an inclined distance. The measuredlength on the slope was recorded to be 459.20 m long. The difference in elevationbetween the initial point and the end point was found to be 1.25 m. The 30 m tape is ofstandard length at a temperature 10°C and a pull of 50 N. During the measurement, thetemperature reading was 15°C and the tape was supported at both end with an appliedpull of 75 N. The cross-sectional area of the tape is 6.50 mm2 and the modulus ofelasticity is 200 GPa. The tape has a mass of 0.075 kg/m. K = 0.0000116m/°C.a. Determine the total correction per tape length.b. Determine the correction for slope.Determine the horizontal distance.C.

Given riangle t =18-20=-2 c C=0.00000116 L=458.65 m Tape length =50 m

Answered: A 50 m. tape of standard length has a…

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 50 m. tape of standard length has a weight of 0.05 kg/m, with a cross sectional area of 0.04 sq. cm. It has a modulus of elasticity of 2.10 x 106 kg/cm2. The tape is of standard length under a pull of 5.5 kg when supported throughout its length and a temperature at 200C. This tape was used to measure a distance between A and B and was recorded to be 458.65 m. long. At the time of measurement the pull applied was 8 kg. with the tape supported only at its end points and the temperature observed was 180C. Assuming coefficient of linear expansion of the tape is 0.0000116m/0C.

9. A civil engineer used a 30 m. tape in measuring an inclined distance. The measured
length on the slope was recorded to be 459.20 m 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 10°C and a pull of 50 N. During the measurement, the
temperature reading was 15°C and the tape was supported at both end with an applied
pull of 75 N. The cross-sectional area of the tape is 6.50 mm2 and the modulus of
elasticity is 200 GPa. The tape has a mass of 0.075 kg/m. K = 0.0000116m/°C.
a. Determine the total correction per tape length.
b. Determine the correction for slope.
Determine the horizontal distance.
C.

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