Bigborefan.
Your point is well taken, and the published cup figures are to be taken into consideration with bolthead thrust in actions with lesser action strength like the Handi. As mentioned by Mac we went through this before. But here is an update.
As usual the best conversion I have seen converting psi to cup has evaded capture on my computer. But 52kcup = roughly 60kpsi.
The amount of pressure that can be transmitted to the boltface or standing breech is determend by the inside diameter of the case at the pressure ring which is about 0.200" above the bottom of the case head.
The case walls at that point vary but are in general about 0.037" to 0.042" for the 223. I assume the 45-70 has a similar case wall thickness at the pressure ring.
OD of the 223 = .375 - say 2x40 = .295 ID. = 0.068sq/in x 60kpsi= 4098lbs against the boltface/standing breech.
The 45-70 OD= 0.505 " - 2x40 = 0.425" ID = 0.142sq/in
(28000cup x 1.516) -17902 = 24546 psi x 0.142 = 3495 lbs on the breech face
It follows that the 45-70 at the above pressures will develop 12% less force against the breech than a 223.
By comparison the 25-06 at 60kpsi developes 7536 lbs back thrust.
I saw Qick having a conversion table maybe he can enlighten us on the right figures.
Note: Addendum . A better conversion. That changes the above 45-70 calculations which I amended.
Thanks to Denton you can convert PSI to CUP by the formula:
PSI=(1.516 X CUP) -17902. It follows by this that the lower cup values are nearly the same as psi. This makes it difficult when comparing apples with oranges, one quotient does not apply to all. Sorry for the false info at the start.