I am finding them tall (24 to 30 inches) and spindly. They are even
falling over.
You are aiming for about that height (probably a bit taller actually),
but with a solid wall of leaves. For example:
http://www.knpr.org/dbloom/images/asparagusbed.jpg
http://z.about.com/d/gardening/1/0/a/G/Asparagus.jpg
Where I can't help you so much is how many years it takes to get to
that point, and whether your slow progress means you should be
fertilizing or looking for a pest or whatever the problem might be.
My (limited) experience with asparagus was with a well-established
bed.