$[12]$

The device in Figure $1$ is used to measure a change in temperature. Bars $AB$ and $CD$ are made of A$-36$ steel and $2014-$T$6$ aluminium alloy, respectively. When the temperature is at $40C,$ACE is in the horizontal position. Determine the vertical displacement of the pointer at E when the temperature rises to $80C.$

Material properties:

$A-36$ steel

$E=200$GPa

$a=12\frac{{10}^{-6}}{}C$

$2014-$T$6$ aluminium

Die toestel in Figuur $1$ word gebruik om $\text{'}n$ verandering in temperatuur te meet. Stawe $AB$ en $CD$ word onderskeidelik van A$-36$staal en $2014-$T$6-$aluminiumlegering gemaak. Wanneer die temperatuur $40C$ is$,$ is ACE in die horisontale posisie. Bepaal die vertikale verplasing van die wyser by E wanneer die temperatuur tot $80C$ styg$.$

Materiaal eienskappe:

A$-36-$staal

$2014-$T$6$ aluminium

$E=200$GPa,$E=73$GPa

$a=12\frac{{10}^{-6}}{}C,a=2310$

$0\mathrm{.}2059$ mm

Figure $1/$Figuur $1$