If all Human Beings became sterile…

A chap at work posed an odd question today; what would happen to the Human Race if we all suddenly (he didn’t suggest how) became sterile overnight? I guess we wouldn’t technically become extinct until the last specimen had died, which could take a century or more, but what would happen in the meantime? How long would it take societies to break down because there were no longer enough people to maintain infrastructures, ie energy, police, hospitals, food production, armed forces, etc? Would people be prepared to work at all if there were no children to support or to inherit the fruits of their labour, or would they just grab whatever they could for themselves and just sit it out to the end?