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A steel rail 30m long is firmly attched to the rod bed only at its ends. the sun raise the temperature of the rail by 50 0 C causing the rail to buckle. Assuming that the buckled rail consist of two straight parts melting in the centre, calculate how much the centre of the rail rise?(coefficient of linear expansion of steel=12*10 -6 )

A steel rail 30m long is firmly attched to the rod bed only at its ends. the sun raise the temperature of the rail by 500 C causing the rail to buckle. Assuming that the buckled rail consist of two straight parts melting in the centre, calculate how much the centre of the rail rise?(coefficient of linear expansion of steel=12*10-6)
 

Grade:11

1 Answers

Vikas TU
14149 Points
6 years ago
Dear Student,
From the formulae we know,
∆l=lα∆t
=30x12x10-6x50
=0.018
l’=l+∆l
=30.018
the centre will rise by = √(〖30.018〗^2-30^2)
=1.039m rise.
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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