(ii) to make a secure fit, rivets that are larger than the rivet hole are often used and the rivet is cooled (usually in dry ice) before it is placed in the hole. a steel rivet 1.872cm in diameter is to be placed in a hole 1.870cm in diameter in a metal at 22°c. to what temperature must the rivet be cooled if it is to fit in the hole

Given:

Rivet diameter, = 1.872 cm

Hole diameter, = 1.870 cm

Temperature,   = 22 °C

Formula Used:

where,

= coefficient of linear expansion

= change in diameter =  

= change in temperature =  

Solution:

we know that coefficient of linear expansion of steel,   =

Using the above formula :

= \frac{1.870 - 1.872}{1.872\times \T_{2} - T_{1}}[/tex]

=   \frac{1.870 - 1.872}{12\times 10^{-6}}}[/tex]

Therefore, the rivet must be cooled to