Whoa, Jeff, that is veeeeery cool. And amazing that they were so close on their design limit calculations.
Andrew - one thing to remember about such things is that we gain intuitive knowledge of how things work through perceptions in our daily lives. You've driven over enough bridges, looked at enough cranes, seen enough houses being built to get an intuitive feel for how much structure is required to keep them from falling apart. But your perceptions fail you here in two ways:
-Safety factor: For a plane, in the above example 150% - for bridges, I think it is 200% (or even more). So they have more than twice as much support steel as they really need (considering that quite a bit of what a bridge needs to hold up is its own weight). But I bet you'd be terrified if you went over a bridge that had less than half as much steel as you were used to seeing!
-Strength to weight ratio: Bridges, tall buildings, stadiums, etc. are all made of steel (and concrete). Steel is heavy and has a relatively poor strength to weight ratio. Most older airliners are made of aluminum, which has a strength to weight ratio of 2-3x that of steel. Newer planes include some titanium, which has a strength to weight ratio of 3-4x that of steel and carbon fiber, which has a strength to weight ratio 20-40x that of steel.
The F-15 and Mig-25 are remarkably similar in configuration and physical size, but the F-15 is mostly made of aluminum and the Mig-25, being built for the sole purpose of high-speed intercept of the SR-71 and XB-70, was made of nickel and steel to resist the heat of high speed flight. As a result, the empty weight of the Mig-25 is almost twice the empty weight of the F-15 and other performance characteristics (g-load) suffer accordingly. Ironically, the Sovs didn't have the money to buy titanium they themselves dug out of the ground (titanium resists heat even better than steel) - so they sold it to the US (through intermediaries) to build the SR-71!