Thanks Mike. I've attempted to explain this several times over the years on Fordbarn. Unfortunately it never seems to "stick". I suppose it's not the easiest thing to visualize.
As an alternative I've also put out here Ford's simplified estimate which they instructed their service departments to use as "suitable for Ford cars" in the early 1930's. Their recommendation was:
(Atmospheric pressure x Compression ratio) + Atmospheric pressure
So starting with a stock Model A and using the average pressure at sea level of 14.7 where I am would be as follows:
(14.7 x 4.22) + 14.7=76.73 psi
Using the average atmospheric pressure of Denver, CO of about 12.2 we have:
(12.2 x 4.22) + 12.2=63.68 psi
Now, there are two things to keep in mind when looking at Ford's recommendation.
1. This is an estimate.
2. These cars were all relatively low compression engines.
As Mike K noted, compression ratio vs. compression pressure is far from linear. The more the "gasses" are compressed the more they heat. The more they heat, the greater the thermal expansion of those gasses which further increases the pressure. The bottom line is that the more the compression ratio is raised, the greater the PERCENTAGE thermal expansion of the gasses plays in the pressure increase.
Finally, here is an example to illustrate how far off Ford's crude method becomes at higher compression ratios using the Jaguar XKE Roadster I had for a short time as a kid. The compression ratio on the Jag was 9:1 so using Ford's equation we get:
(14.7 x 9) + 14.7=147 psi
However the actual compression pressure by the book was 190 psi and close to that on this particular car. Ford's use of the additional "atmospheric pressure x1" was simply to approximate the the added effects of the gasses. This quickly becomes insufficient as we begin raising the compression ratio.