A steel tape, with a coefficient of linear expansion of 0.0000116/C, is known to be 50 meters long at 30°C. The tape was used to measure a line was found to be 15532.28 meters long when the temperature was 27°C. Determine the following: a. Temperature correction per tape length b. Temperature correction for the measured line c. Correct length of the line

A steel tape, with a coefficient of linear expansion of 0.0000116/C, is known to be 50 meters long at 30°C. The tape was used to measure a line was found to be 15532.28 meters long when the temperature was 27°C. Determine the following: a. Temperature correction per tape length b. Temperature correction for the measured line c. Correct length of the line

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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Unit Conversion

Standard units are also called SI units. SI units are used for measuring a physical quantity satisfying certain conditions. There are two types of units: fundamental units and derived units. Fundamental units are physical quantities that are independent, that is, they do not depend on other quantities like mass, length, or time. There are plenty of quantities in our lives which need to be measured and compared. Measuring is the comparison of a particular physical quantity with its reference value. A unit is a measure of a fixed physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with.

Question

A steel tape, with a coefficient of linear expansion of 0.0000116/C, is known to be 50
meters long at 30°C. The tape was used to measure a line was found to be 15532.28
meters long when the temperature was 27°C. Determine the following:
a. Temperature correction per tape length
b. Temperature correction for the measured line
c. Correct length of the line

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