When designing a building what codes do you use or are the most prevalent? Also how do you determine the amount of wind / ice / etc loading to consider in your design?
Clearing a domed roof off with 7 fires in temperatures around 20 degrees with heavy snowfall is asinine. This was obviously "recommended care" passed along to the site of the HHH Metrodome.
ASCE Chapter 7 gives design procedure and values for snow loads based on U.S. location.
Where do these values come from? This is a complex issue and you creep into the concept of Structural reliability/probability. The core concept of reliability is minimizing the probability of failure while maximizing safety. The more "safe" you make a structure the more costly it becomes and economically unfeasible. The acceptable level of safety in structural components such as the metrodome is probably in the realm of Beta Value between 3.5-4.0 This is basically just a statistical Z value. Such values would give a PF between .000233 & .0000317. You basically back calculate what your design loads need to be based on the statistical probabilities. Snow fall can be idealized as an Extreme Type 1 Gumbel Distribution:
http://www.itl.nist.gov/div898/handbook/eda/section3/eda366g.htmBased on what your load resistance model is, you can do testing to see what kind of distribution it will also have. Then you run Monte Carlo Simulations, ala, hundreds of thousands of runs with random variables to see what the probability of failure is, and then back calculate your design snow loads to make sure this probability of failure is an acceptable value.
So yes, engineering is a science and these design values have incredible merit. As long as everything is designed, constructed, and maintained as design specifies, then the probability of failure should be slim to none and would require a "perfect storm" of events to take place for it to fail. A perfect storm combination would include: A slight human error in calculations, a very large load, a slightly damage component. Or something to that effect. Or, the storm of the century. Was this the most epic storm Minneapolis has ever seen? Did it set some century old record? Not that I'm aware of.
Ground snow values for United States.
Desisn is based on 50 year extreme's.