Strong link - weak link is one thing that came out of this crash.
The arming mechanism physically separates the firing mechanism from the warhead by an exclusion zone (heat resistant, damage resistant, Two links are involved in linking the firing mechanism to the detonator. A strong link which requires substantial physical force is required to close the gap between arming + detanator. As a safety a weak link also exists. Any crash that could force the strong link will break the weak link making the bomb unable to detonate. Any crash not sufficent to break the weak link will not have sufficient force to close the strong link.
Other safety features include a physical metal chain inside the core. It must be removed in order for the core to be compressed sufficiently to go prompt critical.
The detonators are shock insensitive as is the explosive. They can't detonate from shock alone. The explosives are also fireproof they don't burn. It requires heat + shock from the detonator to trigger the explosives.
Also as explosives improved the cores were made to be less critical. Critical mass is the point when a sustained fission reaction takes place. Limits on power of the explosives used to compress the core resulted in a core that was less than critical but very very close to critical in the 50s and 60s.
So still scary stuff but some scientists over the years have worked hard to make these very scary weapons less accident prone.
Even scarier is some of the human stuff:
http://en.wikipedia.org/wiki/Launch_on_warningWe had a policy to launch quickly in a detected russian "attack" this was to destroy the Soviets before their missiles hit us. From warning to launch the window in the 70s was only about 11 minutes. By the late 80s that had increased to 30 minutes.
As you can imagine 11 minutes is not a long time to assimilate a lot of information to determine if the threat is credible. In the numerous false warning scenarios that happened over the last couple decades either side would have launched if the mistake hadn't been detected in <11 minutes out of fear that the "other guys" first strike would wipe out launch ability.
It was a shoot it or lose it mentality.
Launch on warning could have ended the human race.