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Expansion Coefficient for Aluminum Rivets in Airplane Construction

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Ensuring a tight fit - aluminum rivets used in airplane construction are made slightly larger than the rivet holes and cooled by "dry ice" (solid CO2) before being driven. If the diameter of a hole is 4.500mm, what should be the diameter of a rivet at 23.0 C if its diameter is equal to that of the hole when the rivet is cooled to -78.0 C, the temperature of "dry ice"? Assume the expansion coefficient remains constant at 2.4 * 10-5 C^-1.

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Solution Summary

The expansion coefficient for aluminum rivets in airplane constructions are examined. With full formulas and explanations, the problem is solved.

Solution Preview

We want the cross sectional are of the rivet to expand (we don't care right now about its length)

The area thermal expansion is given by:

Aƒ = A_i (1 + β deltaT)

Where Af is the final ...

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