depressedAs WSFS Chair, I don't have a "casting vote" (that is, can only vote to break a tie), but the more subtle "can vote whenever it could affect the result," because I'm a member of the organization, not just its presiding officer. (The US VP is the nominal presiding officer of the Senate, but is not actually a member of it.) This means that I can vote to break or make ties. (Ties lose.) I could also vote if it would affect various sorts of super-majorities like 2/3 or 3/4.
In the years that I've presided over WSFS meetings, I'm trying to remember if I have ever been in a position to use my vote. I think it may have happened once, and in the particular case, I think I elected to not vote and to allow the vote to stand as it was. I have a feeling that if I ever vote to make a tie (and thus defeat a motion), there will be a lot of confused people who think the Chair only votes to break ties because that's what "sandlot parliamentary procedure" says.