Are we talking about 1/8" stereo plugs?
If you look at the figures above (these are 1/4" jacks but the 1/8" stereo is similar to the one on top), the individual components are as follows:
1) SLEEVE - usually the ground connection in an audio loop
2) RING - in stereo connections, this serves as the source for the right channel; for balanced connections, this is the COLD/negative phase of a mono signal. Bonus tip: this connection carries the power source for the electret condenser mics commonly found in pc mics.
3) TIP - in stereo connections, carries the left channel. For balanced connections, it carries the HOT signal/positive phase of a mono signal. In pc mics, it actually carries the signal from the mic.
4) Insulating rings/contact separators.
Tip/
Ring/
Sleeve is where the acronyms
TRS and
TS come from.
In your case, the shielding or braid connects to the sleeve/ground. The TRS jacks will have solder points in this order: center = tip = left channel/hot, 2nd connection = ring = right channel/cold, outer connection = ground. The ground connection often has a crimp point that can serve as a strain relief, folding over the braid after stripping the cable and crimping it at the strain relief can provide sufficient electrical contact. Of course soldering provides better electrical connections.