A commonly used method of fastening one part to anotherpart is called \"shrink f

Question

A commonly used method of fastening one part to anotherpart is called "shrink fitting." A steel rod has a diameter of2.0026cm, and a flate plate contains a hole whose diameter is2.0000cm. The rod is cooled so that it just fits into the hole.When the rod warms up, the enormous thermal stress exerted by theplate holds the rod securely to the plate. By how many Celsiusdegrees should the rod be cooled? I've spent a long time trying to figure this problem out, cansomone please help me out? Thanks. A commonly used method of fastening one part to anotherpart is called "shrink fitting." A steel rod has a diameter of2.0026cm, and a flate plate contains a hole whose diameter is2.0000cm. The rod is cooled so that it just fits into the hole.When the rod warms up, the enormous thermal stress exerted by theplate holds the rod securely to the plate. By how many Celsiusdegrees should the rod be cooled? I've spent a long time trying to figure this problem out, cansomone please help me out? Thanks.

Explanation / Answer

The coefficient of linear expansion of steel is 13e-6. R=R*13e-6*T so T=R/R*13e-6=100(degrees)

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