I suspect you if you really go through (https://www.osha.gov/construction/engineering) you'll find some good examples of construction time problems. By it's nature, the vast majority of these are going to be "during construction time", so it'll be biased. They're also typically smaller scale operations... but that's also reflective of reality. Most construction is not the scale of 100+ unit condo buildings.
From my skimming through it there's a pretty even mix of:
a) Designer dominant (note there are a significant number of so called "design-build" entities present as well).
b) Construction/contractor supervisor/company dominant
c) Construction/contractor crew on the ground dominant
The NTSB also has a set of building related investigations to read through. Unfortunately, I seem to be having problems figuring out their search.
For I-35, the NTSB report indicates that the design itself was undersized.
Designs need to be be accommodate for imperfect (and sometimes somewhat negligent) manufacturing, but these two examples aren't the best given the relative impact of flawed design, or design/change control process.