Ensuring a Tight Fit. Aluminum rivets used in airplane construction are made sli
ID: 1788958 • Letter: E
Question
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 4.200 mm, what should be the diameter of a rivet at 23.0°C, if its diameter is to equal that of the hole when the rivet is cooled to -78.0°C, the temperature of dry ice? Assume that the expansion coefficient remains constant at the value given in the table below. Material Aluminum Brass Copper Glass Invar (nickel-iron alloy) Quartz (fused) Steel 24×105 2.0 × 10-5 1.7 × 10", 0.4-09x10 , 009 × 10 0.04 × 10 , 1.2×10 ,Explanation / Answer
for aluminium rivets,
at -78 deg C , L0 = 4.200 mm
Applying L = L0 (1 + alpha deltaT)
L = 4.200 (1 + (2.4 x 10^-5 (23 - (-78))))
L = 4.210 mm
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