   Chapter 10, Problem 24P

Chapter
Section
Textbook Problem

The Trans-Alaskan pipeline is 1 300 km long, reaching from Prudhoe Bay to the port of Valdez, and is subject to temperatures ranging from −73°C to +35°C. (a) How much does the steel pipeline expand due to the difference in temperature? (b) How can one compensate for this expansion?

(a)

To determine
The expansion of the pipeline.

Explanation

Given Info: The length of the pipeline ( L0 ) is 1300 km. The temperature changes from T1=73οC to T2=35οC . The co-efficient of linear expansion of steel is α=11×106/οC .

Formula to calculate the change in length of pipeline is,

ΔL=αL0(T2T1)

Substitute 11×106/οC for α , 1300 km for L0

(b)

To determine
How the expansion is compensated.

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