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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 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)

Avinash Avi , 7 Years ago
Grade 11
anser 1 Answers
Vikas TU

Last Activity: 7 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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