Push-ups
Try
doing push-ups with your hands about shoulder width apart, and turning your
elbows as you bend down so that your elbows touch your waist. Your fingertips
should remain facing forwards (don't turn your hands out), and don't let your
elbows in so much that your stomach rests on them. You should be able to almost
touch your chest to the ground and still have your elbows touching your side.
Your
body should remain in a hollow body position (do not arch) as you go down and
as you push back up. For an added bonus, if you push your shoulders out hollow
at the top, you will work your shoulders and deltoids.
Some variations:
(1) Once you're bent down, hold that position for 5-10 seconds before pushing back up. Remain hollow. (2) Bend your arms only half-way and hold it for 5-10 seconds. (3) Elevate only your feet a foot or so off the floor (using mats or small blocks). Be sure your shoulders remain over your hands. This will transfer more weight to your arms as you do your push-ups. (4) Do these push-ups with your feet and hands on the beam. (5) Do these with your hands and feet on the parallel bars (one hand and foot on each rail).
Beam-Assisted Push-ups
Get into a hollow push-up position with your hands on a low beam and your feet on the floor (you should be cross-wise with the beam). Your shoulders should be over your hands, back flat, tummy in, and bottom squeezed. Then all you do is bend your arms until your chest is an inch from the beam (don't touch it with your chest!), then push back up. 10-15 is a good range to begin at, but then aim for 20-25.
As these get easier, find a lower beam (or put your feet onto a mat). Soon you will be able to do the same number on the floor.
Reverse push-ups
Triceps.
Sit on a raised object about knee-high (slightly higher is okay, too). You can
use a chair, a block, a stack of mats, or a low beam. Put your hands next to
your seat (so that your fingers are hanging over the edge) and slide your bottom
forward off the chair, and straighten your legs. Your hands should be about
shoulder width apart, and your bottom should be very close to whatever object
is supporting you. Now, bend your arms so that your hips go straight down, but
don't let your hips touch the floor. Using only your arm muscles, push yourself
back up to your starting position. Your feet should not move at all. Repeat
-- do sets of 20 or more.
An alternative that works slightly different muscles would be to turn your hands around so that your fingers face away from you. The hand placement for this is easiest to do on a low beam.
Bar Dips
These can also be done on a single rail, where you begin in a front support. Keeping your torso and bottom squeezed tight, bend your arms so that the bar touches your rib cage, and then straighten your arms and round your back so that the bar touches the middle part of your thigh. Repeat -- sets of 10 or more.
Handstand Shoulder Shrugs
Pull-ups
Pike Pull-ups
If you are stronger/more advanced, this can be done on the uneven's low bar without you sitting on anything and starting from a pike hang.
More advanced alternatives to this would be to pull your chin over the bar and hold yourself there for 10-15 seconds (again, no resting your chin on the bar!). This hold can be integrated into a set of 10 pull-ups (every 5, for example).
Pike Push-ups
This is a good lead-up exercise to handstand push-ups.
Pull-Downs