On the other hand, sometimes it all goes wrong: https://youtu.be/VnvGwFegbC8
1) The engineer designed something that was not easily buildable. (The bridge had to be jacked 2 stories up along threaded rods that supported it, and nuts rotated up that distance)
2) The contractor modified the design in the shop drawings to make it more buildable, (split the threaded rod into two sections, with the lower half hanging from the upper walkway) but in doing so doubled the stress on a particular piece that itself was replaced by a less capable similar item. (box section vs welded C sections)
3) The Engineering firm signed off on the change to the shop drawings without realizing the significance of the changes.
I find it interesting that you assume they did not. The job of a structural engineer is to ensure exactly that.
When there was a balcony collapse in a foreign country I got interested and read the code where I live, the building regulations specify that a balcony or similar structure, which essentially hangs off the side of a building and so is unsupported at one side, must handle up to a certain load per square metre. Enough that a modest residential balcony can certainly hold two lovers, someone's spare bicycle and the decorative concrete flower beds they've put down to make it feel "outside". But what if instead of two lovers standing under the moonlight it's as many of the university rugby club as will physically fit? Ah, well then you're going to exceed the designed capacity and a code-compliant balcony might very well collapse.
All those tower blocks in England that are being retro-fitted because of the ones that burned down in London, their architects would have told you at the time they were definitely built to code, no extraordinary risk of fire. Then a bunch of people die in an out-of-control tower fire and - surprise - the politicians now claim the code meant you shouldn't ever have done that, and those towers were all built wrong but now they need to "clarify" the meaning. Sure.
Of course, what's common in my industry would obviously be fatal in other industries. I often tell my wife, "I don't have an unreasonable fear of heights. I have an unreasonable fear of engineers" :-) Still, I haven't died from having a bridge collapse under me yet, so I must be doing something right!
This roughly equates to 4-6 people per square meter.