I just have a personal hang up with the 1600lb bomb as it seems to get into all kinds of discussions and bomb capacity lists or other things.
I believe under 300 (Closer to 200?) were dropped in Europe in WW II.
The 1600lb bomb gets trotted out whenever there is a discussion about the SBD but there is no evidence that the SBD ever carried a 1600lb from a flight deck and probably never carried one from a shore base either, at least in combat.
You can find specifications for P-61 Night fighters that list four 1600lb AP bombs. P-61s were used for bombing at times
Understandable, but without pre war data on B-17 bomb bays and available bombs not resolvable, the confirmed story starts in 1939/40. The MacArthur-Pratt agreement in January 1931 gave the AAC a coastal defence role at least.
The USAAF Statistical Digest says 1,222 x 1,600 pound AP bombs dropped, 1943 to 1945 inclusive, all in the European or Mediterranean Theatres, all in 1944. None dropped in theatres versus Japan. The B-17 raids run by Bomber Command dropped only 1,100 pound HE.
The War Production Board report, which starts in July 1940, reports no AP bombs made until January 1942, when 53 1,600 pound mark I were made for the Navy, it took until September for some to be made for the USAAF. Production for the USN ended in October 1943, apart from some made in June and July 1944, similarly production for the USAAF shut down in December 1943, apart from some in May 1944. All up 11,119 for the USAAF and 10,444 for the USN. The 1,000 pound AP bombs began production in March 1942. However according to the War Production Board the US was producing usually under 500 tons of bombs a month July 1940 to March 1941, including none in December 1940, and the totals include USN depth bombs, 500, 300 and 100 pound bombs seem to make up production but as the individual totals are so small compared with later entries they are all reported as zero, result is a number of bombs might have had limited quantity runs during the period but not be explicitly reported (There are no Tallboys or Grand Slams), in any case there is no column for 1,100 pound bombs. By the way in 1942 the report has 1,468 M63 1,400 pound AP bombs made, other limited AP bomb production were the 900 pound M60 the 800 pound M61 and the 600 pound M62.
Looks like the pre war USN dive bombers, the BG-1, SBU, SB2U and BT are generally quoted as carrying a 500 or 1,000 pound bomb which implies there were stocks of such bombs in the 1930's and some AP bombs would exist. For the SBD, all but the SBD-6 have performance charts carrying a 1,600 pound bomb, all except the SBD-1 have a reduced fuel load when doing so. The take off run in calm conditions for the SBD-1 with a 500 pound bomb was 770 feet, with the 1,600 pound bomb 1,050 feet and even with reduced fuel loads the 1,600 pound load is usually the longest take off run.
According to the USN its carrier based aircraft dropped no AP bombs in 1942, then 10 tons in 1943, 264 tons in 1944 and 29 tons in 1945, land based aircraft 7 tons in 1945. It does not break the AP bombs category down by weight, the notes to 1945 say largely 1,000 pounds and the land targets were transportation and harbor areas, ships were warships and also merchant ships over 500 tons.
9th Air Force P-61, 6 x 1000 GP HE, 14 x 500 GP HE, 13 x 1100 FB Incendiary, 44 x 750 FB Incendiary, 16 x 500 FB Incendiary, 79 x 500 IB Incendiary, 2 x 280 FB Incendiary, 2 x 250 IB Incendiary and 273 rockets, plus 1 x 1100 FB Incendiary, 2 x 500 FB Incendiary, 2 x 500 IB Incendiary and 2 rockets jettisoned.
Of course in 1938 the need for 1600lb AP bombs was rather limited. The Bismarck had been laid down but wouldn't even be launched until 1939 let alone completed and the Japanese were keeping the Yamato secret.
I would say there was a need for heavy AP bombs in 1938. Hemisphere defence in the 1930's was implicitly resisting a Japanese attack, the IJN had 9 battleships and a heavy cruiser force, as the battleships were reconstructed in the 1930's they generally had the elevation of their main guns increased, which in turn required more deck armour to resist long range hits, armour that would also resist bombs.
I have no idea what the US thought during the 1920's and 1930's about aircraft sinking merchant ships, given the prize rules for submarines included ideas about safety of the civilian crews, my understanding is the public definition of hemisphere defence was sinking approaching enemy warships, especially the big ones. No one was going around talking of wiping out convoys or sinking tens of thousands of tons of merchant ships, they were talking about sinking lots of battleships. With at times pointing out the land based aircraft could carry larger numbers of the heavier bombs needed for the bigger ships and hitting them further offshore.
Once you get past the 1100lb bombs things get a little tough to pin down. Of course for most of the 1930s and using the B-10 series of bombers you weren't going to carry much of anything bigger than 1100lbs although there may have been purchases of a few experimental batches?
The B-10 from early 1936 seems to have topped out at about a pair of 1,100 pound bombs, the B-18 from mid 1937 had a bigger bomb load, the B-18A from mid 1938 could carry 6,500 pounds of bombs (no, probably not 4x1,600 pound AP)
The conclusion is the USAAF B-17 ended up optimised for carrying a specific AP bomb (and possibly AP bombs from the start) which carried over to the B-24.