Truing the Rim
If your wheel moves slightly side to side as you ride, your rim is out of true. Problems: Brake pads may touch the tire at some point during its rotation, requiring you to back off the cable tightness. Brakes may "wump, wump, wump" as you apply them. The bike may wobble at high speeds. Dangerous stuff.
The first thing you should do is inspect the rim carefully. Look for nipples (the thingies that the spokes screw into at the rim) that are pulling through the holes, bulging or cracked metal near a spoke nipple, or cracks along the braking surface. If you see significant signs of rim damage, it's time for a new wheel -- not just minor "tweaking."
If you're a beginner at bike repair, anything but minor side-to-side wobble may be beyond your fix-it ability. If you're going to get serious about truing wheels, you need a truing stand. And you need more instruction and experience than we can give you.
\ side-to-side wobble \ (laterally untrue)
\ flaring of the rim (time to buy a new one)
\ height \ variation (concentrically untrue -- hub is off-center)
\ flattened areas on the rim
\ incorrect dishing*
\ tilt (one side of the rim higher than \ another).
\ A truing stand will cost a bit. The UMB \ on-line store sells a high-quality truing stand for serious cyclists.
*on the rear wheel, \ the spokes are longer on one side than the other -- called dishing -- to \ compensate for the cogs
Unless you have the right skills and right tools, you're better off having a pro fix your misbehaving wheel. It's super-easy to make the wrong call and mess up your spoke tension. But here's the rub: when your wheel starts to wobble, do you leave it at the shop for a week, or do you true it up yourself so you can "make that ride?"
Before you start playing with the spokes, make sure the wheel wobble isn't something else. Check for rocks tucked between the tire casing and the rim. Check that the axle is correctly fitted in the dropouts. Take the tire off and spin the rim alone, just to be sure a damaged tire isn't deforming the rim.
Check to be sure the axle sits properly in the dropouts, then check to be sure the wobble isn't the tire's fault.
Now you need to put the rim somewhere where you can assess the wobble. If possible, use a truing stand. If that's not possible, put it back in the dropouts of the bike frame. Use the distance from the front tip of your brake pads as your measurer.
If the broken spoke is on the freewheel side of the rear wheel, you'll have to remove the freewheel to remove the spoke. This requires a freewheel removing tool (or a bike shop).
Spokes stretch slightly with time. Our truing discussion assumes that it's spoke-stretch, or a nipple "unscrewing" itself, that's put the wheel out of true. Therefore we suggest tightening of specific spokes. If, however, your spokes seem to be under significant tension -- already very tight -- you may want to do the opposite. That is, you'll want to loosen spokes to relax the pull on the rim. But here's the basic strategy:
Truing action, based on overall spoke tightness!
Spokes overall rather loose:
Tighten 2 spokes that
attach on side
of gap, 1/4 turn each (clockwise)
Spokes about right, on average:
Tighten 2 spokes on side
of tap, 1/8
turn each (clockwise)
Loosen spokes between
(attaching to
opposite side), 1/8 turn each
Spokes seem generally too tight:
Loosen 2 spokes on side
OPPOSITE gap,
1/4 turn each (counterclockwise)
Repeat until rim comes into true!
On the side with the gap showing, find the spoke on that side which is closest to the point at which you're measuring the gap. (Select the spoke that starts and ends on the side of the rim that shows the gap between rim and brake pad.) Tighten that spoke by turning 1/4 turn clockwise.
Select the TWO spokes on each side of the high spot (a right spoke and a left spoke) and tighten 1/8 turn each. (Alternative: find a low spot and loosen each spoke 1/8 turn.) Turn the wheel again, and repeat.