Umm, I tried to write how to adjust the expander die.
Here is what Chuck Hawks says:
Adjusting the expander die
First, run the shell holder to the top of its stroke, then screw the expander die into the press until it touches the shell holder and tighten the large lock ring. Lower the shell holder, place a resized case in the shell holder, and run it fully into the expander die. Check the mouth of the case. It should be expanded and belled just enough to accept a new bullet. Excessive belling of the mouth shortens case life. If the case needs more or less expansion, loosen the lock nut at the top of the die and screw the tapered expander plug up or down until the correct amount of belling at the mouth of the case is achieved, then re-tighten the lock nut.
You can review the following thread:
Understanding Expander Dies for 9mm and 38 Special - Reloaders Guide
Per Hornady:
ADJUSTING THE EXPANDER DIE
(Three-die sets only)
The expander assembly is designed to put a slight “bell” or flare on the case mouth. For uniform flaring, trim all case to their proper length.
To adjust the expander die body, raise the press ram to its full height with a case in the shell holder. Thread the expander die into the press until the expander touches the case mouth. Raise the handle and screw down the die in small increments (each time inspecting the mouth) until the mouth of the case has been flared just enough to seat a bullet. Tighten the die body lock ring and set screw. Keep in mind that an excessive flare can eventually shorten case life, and may keep the case from properly entering the seating die.
Here are the RCBS instructions:
http://www.rcbs.com/downloads/instru...structions.pdf
Lyman covers their powder-through expander die and their M-die:
http://www.lymanproducts.com/lyman/d...structions.pdf
PTE die:
Lyman Powder Charge/Expanding Die System
Instructions for Multi-Expand/Powder Charge Die and Premium Carbide Four-Die Set The Lyman Multi-Expand Powder Charge System uses special hollow expander plugs which simultaneously expand case mouths and allow powder charges to be dropped from your attached powder measure. This die system condenses two separate loading tasks into one simple step. Premium 4-Die Sets include a Multi-Expand Powder Charge Die for the neck expander in your choice of caliber only. If you need other plugs for other calibers, contact Lyman Customer Service at 1-800-22-LYMAN for information (see Customer Service section of this brochure).
The Multi-Expand Powder Charge Die Set includes the die body and seven different caliberized expanding powder drop plugs for 32, 9mm, 38/357, 10mm/40, 41, 44 and 45 Auto cartridges, and one universal (non-expanding) powder drop tube for charging rifle cases from 222 to 45 calibers. It also comes with two drop stems for long and short cases. It is the perfect accessory for most standard powder measurers. Your Multi-Expand Powder Charge Die expands and flares case mouths to facilitate bullet seating. Cast bullet reloaders should use this die to prevent “shaving” of bullet metal during the seating opera- tion. Your Expanding Die plugs are clearly marked on the outside flat diameter as to each size caliber.
The illustration on the next page shows a cutaway view of the Multi- Expand Powder Charge Die with a cartridge case in position. The die is identified by a stamping on the major outside diameter that reads “MULT EXP PDR CHG”. The expanding die plug is identified on the outside diameter with the cartridge size designation. Select the appro- priate expanding plug for your cartridge cases. Thread the expanding plug tightly to the stem. Make sure the set screw is backed out so that the drop tube passes freely. Insert the drop stem and expanding plug assembly into the bottom of the die body. The expanding plug will be on the bottom. Tighten the set screw in the die body to secure the drop stem.
Using the Multi-Expand Powder Charge Die: Thread the entire die into your press or press turret. Raise and lower the press handle while turning down the die a little at a time until the case mouth is flared sufficiently so that your bullet easily enters the flared mouth without shaving lead or jacket material. Tighten the lock nut. Thread your powder measure into the top of the die until secure. You may want to readjust the die at this time to facilitate ease of dumping powder from your measure. You are now ready to expand the case and charge the powder. It is important to raise the case until it is at the extreme upstroke of the press. Then release the gunpowder from the powder measure.
The top of the die body is threaded 7/8" x 14 to accept Lyman’s #55 Powder Measure or Accumeasure. Other measures using a 7/8" x 14 thread will also work.
M-die:
Neck-Expanding
(Three-Die Sets, Neck-Expanding “M” Die—See other side for Multi-Expand/Powder Charge Die; Used in Four-Die Sets) The Lyman Neck-Expanding “M” die expands and flares case mouths to facilitate bullet seating. It is included in all three-die sets and may be purchased separately for most cartridges. Cast bullet reloaders should use this die to prevent “shaving” of bullet metal during the seating operation.
Figure 2 shows cutaway views of Neck-Expand dies with cartridge cases in position. This die is identified by the “NECK EXPAND” stamped between the knurled top and threaded shank of the die body. Note the two-step expanding plug in the die. The first step of this plug expands the neck to slightly under bullet diameter while the second step expands the first 1/16" of the neck to slightly over bullet diame- ter. This allows cast bullets to enter the case without shaving lead. Adjusting the Neck-Expanding “M” Die: Remove the expanding plug stem from the die body. Loosen the set screw and die lock ring and back off the die lock ring for sufficient room to screw the die body into the press. Lower the press handle until the shellholder is at its highest point, then screw the die into the press until the die’s bottom edge made light contact with the shellholder. The die body is now adjusted. Turn down the lock ring and tighten its set screw.
Your expanding plug must now be adjusted to the proper depth. Start the expanding plug stem into the die body. Place an empty, sized car- tridge case in the shellholder and lower the press handle until the shellholder is again at its highest point. Turn in the expander plug stem until you feel the expander plug contact the case mouth. This means the first (and narrower) stage of the plug is entering the case mouth.
Lift and lower the press handle slightly while continuing to adjust the expanding plug stem until it flares the case mouth. The case mouth should be flared enough to allow your bullet to easily enter the mouth without shaving lead or jacket material. With the Neck-Expanding Die adjusted, secure the expander plug lock nut.