These sorts of things happen all the time.
Mmm.. static goodness. Life's pretty good when you're not moving; but, what happens when you do? The dynamic case! Of course always being dynamic can be difficult: I'd rather keep my equations derivative free if possible. So what's a person to do? Derive Quasi-static Loading! As far as I can tell it hasn't been done yet , not even sure of its value. Makes a nice slide show of derivations though. Cheers.