One thing to keep in mind is that the weight display has a feature that can be more annoying than helpful.
If you select an unequipped item (select only, not equip it) the champions load bar will update to show what it would be if you *did* equip that item.
Only the bar will do this and it's shown with a slightly shaded bar but it can be hard to spot. If you look at the actual numbers by hovering above the weight display you will still see the true load.
When you switch champions often some unequipped item gets selected and thus its weight added to the champions load.
In order to get a true reading click on an item that the champions in question is already wearing to make sure no unequipped items is in the mix.
When you trade (have two champions displayed) selecting any item for champion 1 will also updated the load as described above for champion 2 to make things more confusing. This can be helpful of course to see if it's worth trading an item between champions.