Force comes from pressure times piston area and speed comes from flow divided by that same area — a 4-inch bore at 11 GPM extends near 2.8 in/s.
Wood splitter hydraulic pump sizing, matching GPM and PSI to your cylinder, runs on two numbers that don’t trade against each other. Pressure decides how hard the wedge pushes. Flow decides how fast it gets there. A pump with a big flow figure and a weak pressure rating builds a fast splitter that stalls in knotty oak; the reverse builds a slow one that takes twice as long per round. Nail both and the machine cycles on the schedule you planned.
How Do PSI And GPM Split The Work?
Pressure multiplied by piston area gives cylinder force, and pump flow divided by that same area gives cylinder speed. One area figure drives both results, which is why bore diameter shapes everything downstream of it.
The area of a round bore is A = πD²/4. A 4-inch bore carries 12.57 in². Push 3,000 PSI into that area and the cylinder makes roughly 37,700 lb of theoretical extension force. Retraction behaves differently: the rod occupies usable area, so the cylinder returns faster than it extends but pushes with less force.
Speed inverts the same relationship. v = Q / A, with flow as Q. Feed 11 GPM into that 4-inch bore and the result is about 2.8 in/s of extension. Measured speed lands below the figure because pressure losses, friction, and internal leakage take their cut, and the direction never changes: a larger bore holds more fluid per inch of travel, so it extends slower on the same pump.
Keep one conversion handy: 1 GPM = 231 in³/min.
Flow ratings and engine requirements climb together in current listings.
| Pump Flow | Stated Engine Size | Listed Price |
|---|---|---|
| 11 GPM (GP-CBN-110-P-C) | 5+ HP | $240.45 |
| 13.6 GPM (GP-CBN-130-P-C) | 7+ HP | $240.45 |
| 16 GPM (AP-HL-16-P-R) | 8+ HP | $240.45 |
| 22 GPM (GP-CBN-220-P-C) | 10+ HP | $359.23 |
| 28 GPM (AP-HFL-28-P-R) | 16+ HP | $352.92 |
Listed prices come from Beiler Hydraulics and change without notice.
Sizing A Hydraulic Splitter Pump To Your Cylinder: Bore First, Then Flow
Start at the cylinder and work outward. Bore, rod, and stroke set the force and speed targets first; the pump gets chosen to hit them.
- Read the cylinder plate or measure it: bore, rod diameter, stroke, pressure rating. A tonnage sticker hides all three.
- Divide the force you need by piston area to find the pressure you need. A 4-inch bore making 37,700 lb needs 3,000 PSI at the cylinder.
- Divide the fluid volume the stroke holds by your target cycle time to find the flow you need. Bigger bore, more volume, more GPM for the same speed.
- Compare the relief valve setting to the pump rating. A 3,000 PSI pump does not certify a 3,000 PSI system.
- Size the engine against actual hydraulic demand:
HP ≈ (PSI × GPM) / 1714, run on the stage that is working. - Match the physical interface: rotation direction, shaft size, mount pattern, 1-inch inlet, 1/2-inch NPT outlet.
The same force and speed relationships are laid out from the component side in Hänchen’s hydraulic cylinder calculation data, which is worth reading before trusting a tonnage sticker.
If you would rather compare hardware than calculate from zero, our tested wood splitter hydraulic pump roundup lists units with verified ports and pressure ratings.
Why Does A 16-GPM Pump Feel Slower Than It Sounds?
Two-stage pumps move far less oil once pressure builds, and that low-flow stage does the splitting. A 16-GPM listing often means 16 GPM at about 650 PSI in the first stage, then roughly 3.5 GPM at 2,500 PSI in the second, with a stated maximum operating pressure of 4,000 PSI.
The wedge races out, meets the log, and the pump shifts down. Cycle time blends both stages, so quoting one flow number hides half the story: first-stage flow controls approach speed, second-stage flow controls push-through speed.
Pressure never exceeds the lowest-rated part in the loop — cylinder, valve, hose, fittings, filter, reservoir, pump drive. And never raise the relief to make up for a pump that cannot reach the force you want; the relief setting is the part that keeps a hose from bursting.
Before ordering, confirm three things:
- The pump’s high-pressure flow, not just its headline flow.
- An inlet hose and strainer sized for the pump, since a starved inlet cavitates and scores the pump.
- Engine horsepower measured at the stage pressures you will actually run.
Common Questions
What Size Pump Does A 4-Inch Bore Cylinder Need?
Flow is the variable, not pressure. A 4-inch bore at 11 GPM extends at roughly 2.8 in/s, and many 11-GPM two-stage pumps list a 4-inch bore as their recommended match. Choose flow from the cycle time you want, then confirm the pressure rating meets the cylinder’s rating.
Can A 3,000 PSI Pump Overload A 2,500 PSI Cylinder?
Yes, if the relief valve is set above the cylinder’s rating. Pump capacity does not cap system pressure; the relief setting does. Match the relief to the weakest component — cylinder, valve, hose, or fitting — and hold pressure there rather than trusting a number printed on the pump.
Is More GPM Always Faster?
No. Flow only speeds the cylinder when the engine and inlet plumbing support it, and two-stage pumps drop to a much lower high-pressure flow once the wedge loads. A 22-GPM pump bolted to a 5 HP engine will bog and stall instead of splitting faster.
Sources
- Hänchen Hydraulic. “Hydraulic Cylinder Calculation.” Source for the force, speed, and working-area relationships used in the sizing formulas.
- Beiler Hydraulics. “Log Splitter Pumps.” Listed flow ratings, engine recommendations, and current prices for the pumps in the table.
- Surplus Center. “Hydraulic Pump Catalog Pages.” Specifies the 11-GPM two-stage replacement pump dimensions, ports, and pressure ratings.