All aircraft landing gear are certified for landing at MTOW, they just need inspected afterwards before the plane can re-enter service. The fact that frequently the captain's judgement is to prefer to land at a lower weight is a separate issue.
and because fuel dump is only allowed above 4000ft/1300m.
It is way more complicated than just altitude, with zones and procedures, incredibly long checklists and a bit of maths. But a plane that can't reach 4000ft is probably in a mayday situation, and there is absolutely no time to try to dump fuel, it's a slow procedure.
here is an example: https://www.youtube.com/watch?v=VSq9r05lVTo