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
Online tools for structural design
RE: relation between coefficients of thermal expansion
Dr Arun Rao