An aluminum pipe with a length of 60 m at a temperature of 10°C rests freely on the ground. An adjacent steel pipe at the same temperature is 5 mm longer than the aluminum pipe. (a) At what temperature (degrees Celsius) will the aluminum pipe be 15 mm longer than the steel pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are ca=23x10-6/°C and as=12x10-6/°C, respectively.) (b) What is the axial stress developed in the aluminum pipe when the temperature was increased? Aluminun Steel Figure No. 1 5 mm

An aluminum pipe with a length of 60 m at a temperature of 10°C rests freely on the ground. An adjacent steel pipe at the same temperature is 5 mm longer than the aluminum pipe. (a) At what temperature (degrees Celsius) will the aluminum pipe be 15 mm longer than the steel pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are ca=23x10-6/°C and as=12x10-6/°C, respectively.) (b) What is the axial stress developed in the aluminum pipe when the temperature was increased? Aluminun Steel Figure No. 1 5 mm

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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Concept explainers

Temperature Difference and Heat Transfer

Whenever there is a flow of heat flux resulting from a temperature gradient within the material or between two materials, there is heat transfer. Heat transfer primarily arises due to temperature differences between two bodies or within bodies. The term temperature gradient denotes temperature differences or variation of temperature due to change in some quantity. The fundamental use of the concept of temperature is found in the zeroth law of thermodynamics.

Question

An aluminum pipe with a length of 60 m at a temperature of 10°C rests freely on the
ground. An adjacent steel pipe at the same temperature is 5 mm longer than the aluminum pipe.
(a) At what temperature (degrees Celsius) will the aluminum pipe be 15 mm longer than the steel
pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are
ca=23x10-6/°C and as=12x10-6/°C, respectively.)
(b) What is the axial stress developed in the aluminum pipe when the temperature was
increased?
Aluminun
Steel
Figure No. 1
5 mm

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