Shape Str Dex Con Temp HP AC
Badger 8 17 15 +10 18
Brown bear 27 13 19 +10 12
Boar 15 10 17 +10 15
Panther 16 15 19 +10 16
Wolf 13 15 15 +10 16
Dire badger 14 17 19 +20 23
Dire bear 31 13 19 +40 16
Dire boar 27 10 17 +20 20
Panther (improved) 25 15 17 +30 20
Dire wolf 25 15 17 +30 20
As you can see, with proper buffing, STR 36 is possible.