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A bar with a crack at its centre buckles as a result of temperature rise of 32^(@)C. If the fixed distacne L_(0) is 3.77 m and the coefficient of linear expansion of the bar is 25xx10^(6)//""^(@)C find the rise (in metre) of the centre. |
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Answer» Solution :CONSIDER one half of THEBAR, its initial LENGTH `l_(0)=(L_(0))/2` Its length after increase in temperature `Deltat`, `l=l_(0)(1+ALPHA DeltaT)` By Pythogoras theorem  `l_(0)^(2)(1+alpha DeltaT)^(2)-l_(0)^(2)` `=l_(0)^(2) 2 alpha DeltaT` or `x=l_(0)sqrt(2 alpha DeltaT)` `=3.77/2sqrt(2(25xx10^(-6)xx32))` `=7.5xx10^(-2)m` |
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