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Materials Selection for Energy-Efficient Systems

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Derive <strong>Materials</strong> Per<strong>for</strong>mance Indexes<br />

Nutshell story: We have to keep the fixed parameters. But we can ratio out<br />

the free variables (e.g. cross-sectional area). In the resulting equation, the<br />

materials properties are separated from the engineering terms.<br />

Example: A beam subject to a bending load…<br />

m AL mass of beam<br />

S CEI<br />

L 3 stiffness of beam; C = const., E = modulus<br />

I A2<br />

second moment of area (square beam)<br />

12<br />

Eliminate area A<br />

<br />

m 12SL3 <br />

<br />

C <br />

1 2<br />

L<br />

<br />

<strong>Materials</strong> selection<br />

<br />

<br />

<br />

<br />

E 1 2<br />

<br />

<br />

<br />

: Need to minimize<br />

<br />

E 1 2<br />

!

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