A cuboid ABCDEFGH is anisotropic with -x-1-10-5 -C-1- -y-2-10-5 -C-1 and -z-3-10-5 -C-1- Coefficient of superficial expansion of faces can be

nbsp; nbsp;βABCD=βEFGH=αx+αz nbsp;=4×10 5 nbsp;°C 1 nbsp; nbsp; nbsp;βBGHC=βAFED=αY+αz=5×10 5 nbsp;°C 1 nbsp; nbsp;βCDEH=βBAFG=αY+αX=3×10 ...

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A cuboid ABCD...

Question

A cuboid ABCDEFGH is anisotropic with $α_{x} = 1 \times 10^{- 5} {(° C)}^{- 1}$
, $α_{y} = 2 \times 10^{- 5} {(° C)}^{- 1}$
and $α_{z} = 3 \times 10^{- 5} {(° C)}^{- 1}$
. Coefficient of superficial expansion of faces can be

β_{A B C D} = 5 \times 10^{- 5} {(° C)}^{- 1}

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β_{B C H G} = 4 \times 10^{- 5} {(° C)}^{- 1}

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β_{C D E H} = 3 \times 10^{- 5} {(° C)}^{- 1}

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β_{C D E H} = 5 \times 10^{- 5} {(° C)}^{- 1}

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Solution

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A B C D E F G H

α_{x} = 1 \times 10^{- 5} /^{o} C,

α_{y} = 2 \times 10^{- 5} /^{o} C,

α_{z} = 3 \times 10^{- 5} /^{o} C .

A cuboid ABCDEFGH is anisotropic with

$α_{x} = 1 \times 10^{- 5} ° C^{- 1}$

$α_{y} = 2 \times 10^{- 5} ° C^{- 1}$

$α_{z} = 3 \times 10^{- 5} ° C^{- 1}$

Coefficient of superficial expansion of faces can be

α

\frac{- α}{2}

\frac{α}{5}

\frac{7 α}{10}

r = α_{x} + α_{y} + α_{z} .

2 \times 10^{- 5} C^{- 1}

x a n d y

(y - x) \times 10^{5}

2 \times 10^{- 5} /^{o} C

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