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.
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 ...
With full formulas and explanations, the problem is solved.