No runway will go immediatly broke just because you landed with a higher weight - if you are not completly off the mark. You cannot distroy a runway just by landing there once. Ah, you are talking about damages to the aircraft! Well that shouldn't really be the case, if you are not way too heavy. The aircraft will not sink on a runway with ACN > PCN.
Your friendly ops office always looks into the PCN number before it approves your airport. As long as your aircraft is within the limit, it will approve that you land there. Of course also this airport has to agree that you land there.
If your company wants you to check the PCN number for every flight, that's ok.
AerocatS2A is pretty much correct on what he says, imho, if the airport approves that you land there they are responsible for runway damages. If you land however on a different airport that might be a different case.
Dani