Brass Monkey Expansion Test...
Coefficants of Thermal Expansion:
Brass 11.6e-06 / deg F approx.
Iron 6.0e-06 / deg F approx.
So if you were in the Spanish Armada, and your iron balls were made to fit your brass monkey, lets say they were both made in Lisbon during the summer just before the fleet set sail.
The average high in July at Lisbon is 81 (according to
weather.com). You load your balls and your monkeys on your boat and set sail from Lisbon, Portugal to London, England, where the average July low is 52. So your looking at about a 30 degree F difference.
Assuming you have 8 inch balls (and we all know they made their cannon balls exactly 8 inches with a perfectly smooth surface finish), the crystral struction of brass and iron are isometric, and the coef of thermal expansion is 6e-6 in/in F
delta L = 8"*(-30F)*6e-6 "/ " F = -.00144
8"+8"*(-30F)*6e-6 "/ " F = 7.99856"
Now to the brass monkey, assuming it is a square brass plate with 16 indentations for the cannon balls...
How thick is the brass plate, 1" maybe 2"? Let's assume the total thickness of the plate is 2", with 1" indentations for the balls.
There's going to be more than 1" material between the edge of each hole, and the amount will vary depending on where it is measured, so I'm not even going to concern myself with that.
delta L = 1"*(-30F)*11.6e-6 "/ " F = -.000348"
1"+1"*(-30F)*11.6e-6 "/ " F=.999652"
Okay, this just proves my point... As the material get's thinner, the hole gets deeper. Assuming the brass is isometric, the material around the edges of the hole should contract even farther, causeing the hole to get wider as well.
Maybe the brass monkey looks different from what I am thinking...
Maybe I have too much time on my hands, another cold weekend, come on spring...