Do web servers normally limit how much hardware resources you use?

Hello there I am currently with a host known as Site5 and they have a limit on how many "resource points" I can use. On this site, resource points are a measurement on how much hardware resources I have used. A good way of putting this into perspectives is for each query with 5 cols and 100 rows will use 1 point, and per day I'm limited to 250 points.

Since I've never used other web hosts, do other web hosts limit these sort of things?

Cheers, Joshua