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dL/dT = αL*L, where L is the length of the steel, T is temperature, and αL is the linear thermal expansion coefficient which for steel is about 11.0 to 13.0.

That is possibly the easiest differential equation in history:

(1/L)dL = (αL)dT

ln(L) = αLT

L = eαLT

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13y ago
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13y ago

CoTE( Coefficient of Thermal Expansion)= [Change in dimension]/[Original Dimension x Change in Temperature]

Here

Dimension implies Length,Volume,Surface Area etc.

And Change in Dimension implies Change in Length,Change in Volume or Change in Surface Area etc.

For every dimension the symbol of Coefficient of Thermal Expansion is different.

For example Coefficient of Linear Expansion is represented by Alpha

Coefficient of Linear Expansion is represented by Beta

RELATIONS BETWEEN CoTE's

Beta=3(Alpha)

Coefficient of two dimensional expansion(Surface Area Expansion)=2(Alpha).

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16y ago

It depends upon the humidity, temperature, type, thickness, density and surface area to volume ratio of the wood

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13y ago

You would have to measure the size of a sample, at different temperatures.

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11y ago

10 into 10-6 per degree Celsius

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3y ago

ltpluslo 1plus alphat

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Q: How do you calculate coefficient of linear expansion of copper?
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What is the cubical coefficient of thermal expansion for metals?

Since most metals are isotropic, the cubical coefficient of expansion is three times the linear coefficient of expansion. The linear coefficient of expansion is obtained from measurement and tables for the specific material which are readily available.


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Does the coefficient of linear expansion depend upon length describe?

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