@HerraBRE
Strength is usually considered at what's the max intensity you can express, that is, a few pushups is the same of 50 pushups. Being able to do more of one movement is a matter of endurance, and it will have some other mechanisms associated.
Doing a lot of pushups can put quit a strain on joints and is likely not really a good idea. There was a thread about it on /r/bodyweightfitness... let me see...
Here it is