Well the old "beer can rule" said that the safe maximal ratio of diameter to wall thickness was 50 to 1 for ordinary alloy steel, rising with yield strength for heat treated steels*. The rule is entirely empirical but is based on the theory of shell buckling.

Your ratios are 25.4 / 0.4 = 63.5 , 28.6 / 0.5 = 57.2 and 28.6 / 0.6 = 47.7. By the old rule you'll need heat treated steel for the first two.

*I think I can remember old Eric Hendren saying that the ratio was roughly equal to the yield strength in tons per square inch, but I may be confabulating here. I last spoke to Eric over 30 years ago.