## relation between coefficients of thermal expansion

## relation between coefficients of thermal expansion

(OP)

It is regarding the relation between coefficient of thermal expansion i.e alpha:beta:gamma which is1:2:3.I have forgotten the derivation of this relationship. Can someone help me out. I need to teach my school going son. Thanks in anticipation

## RE: relation between coefficients of thermal expansion

The derivation is simple.

For example in the 2D case, the new length in x direction is proportional to

1 + alpha T

and the same in y direction.

The new area will hence be proportional to

(1 + alpha T)^2

or, as (alpha T) will normally be small with respect to 1, to

1 + 2 alpha T

neglecting the sqare of (alpha T).

A similar derivation gives

gamma=3 alpha

for the 3D case.

prex

motori@xcalcs.com

http://www.xcalcs.com

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## RE: relation between coefficients of thermal expansion

Dr Arun Rao