In a short essay "The Space of All Possible Bridge Shapes," composed in response to the Minneapolis bridge collapse, Stephen Wolfram suggests design principles that could lead to stronger bridges:
. . . it's been known for a while that the best networks don't have that kind of simple structure. In fact, they almost seem in some ways quite random.
Well, what about bridges? I strongly suspect that there are much better truss structures for bridges than the classic ones from the 1800s--but they won't look so simple.
I suspect one can do quite well by using simple rules to generate the structure. But as we know from NKS, just because the rules to generate something are simple, it doesn't mean the thing itself will look simple at all.
Two students at our NKS Summer School (Rafal Kicinger and Tom Speller) have investigated creating practical truss structures this way--and the results seem very promising.
So what should the bridges of the future look like? Probably a lot less regular than today. Because I suspect the most robust structures will end up being ones with quite a lot of apparent randomness.