The US stormed Normandy and took heavy casualties. The surviving Germans later said their guns just overheated and they couldn't shoot targets quickly enough because there were so many.
As best I remember, Unsolved History did a study of Pickett's Charge. One of the things they did was basically to add up how many rounds could be fired by the Union defenders, how many Confederates soldiers there were and pick a likely percentage for hits. They were able to model the battle pretty well.
The thing that struck me about it was that the approach really illuminated for me how infantry battles were conducted from the invention of gunpowder up to that time. The rate of fire was so low and accuracy so bad that a big force would simply walk up to small one, taking their losses, and start stabbing with bayonets. Basically the same as Normandy.
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