A Single Eccentric Reversing Gear is an early steam-engine valve gear that uses one eccentric on the crankshaft, combined with a slip-link or gab hook arrangement, to drive the slide valve in either forward or reverse. Locomotives running this gear typically managed cutoff at a fixed 75-80% of stroke and reversed at speeds under 5 mph. The single eccentric solved the early problem of needing to change valve timing 180° between fore and back running without two eccentrics. Robert Stephenson's Locomotion No. 1 of 1825 used a variant of this scheme.
Single Eccentric Reversing Gear Interactive Calculator
Vary eccentric throw, valve lap, and lead to see slide-valve travel, port opening, and eccentric stroke update on the animated gear diagram.
Equation Used
Total slide-valve travel is twice the eccentric throw plus twice the valve lap. Maximum port opening is the throw minus lap plus lead, so increasing throw opens the port more while increasing lap increases required valve travel.
- Single eccentric is engaged in fore or back gear.
- Valve motion is treated as sinusoidal and backlash-free.
- Lap is equal at both steam-port edges.
Inside the Single Eccentric Reversing Gear
The mechanism rests on one fact about slide valves — to reverse a steam engine, you must shift the valve's phase 180° relative to the crank. With one eccentric fixed on the shaft, you cannot rotate it on demand. So early engineers cheated. They let the eccentric slip on the shaft between two stops, or they disengaged the eccentric rod entirely from the valve spindle and drove the valve directly by hand or by a separate hook called a gab. That second mode is where the names slip eccentric gear and gab gear come from.
In fore gear, the driver drops the gab hook onto the forward driving pin and the eccentric pushes the valve through its normal cycle. To reverse, the driver lifts the gab clear, hand-bars the engine past dead centre into the opposite phase, and drops a second gab onto a back pin. The eccentric is now effectively driving the valve 180° out — not because the eccentric moved, but because the engine moved under it. If the slip stops are worn or the gab hook is bent more than about 1.5 mm out of alignment, the valve picks up late, the engine wheezes and stalls, and you cannot get a clean start in either direction.
The weakness is obvious once you operate one. There is no variable cutoff — steam admits for nearly the full stroke, fuel economy is terrible, and you cannot reverse under load. You must stop the engine, shift the gabs, and restart. That is why every serious locomotive after about 1842 moved to Stephenson's two-eccentric link motion, which gave both directions and variable cutoff from a single lever.
Key Components
- Single Eccentric: A circular disc bored off-centre and keyed (or slip-fitted) to the crankshaft. The throw — typically 50 to 75 mm on a small locomotive — equals half the slide valve's full travel. On a slip eccentric variant, the disc rotates freely on the shaft between two driving dogs set 180° apart.
- Eccentric Strap and Rod: A two-piece bronze strap clamps the eccentric and transfers its motion to a long rod. Strap clearance is held to about 0.10 mm — any more and the valve event smears at higher RPM. The rod ends in a forked or hooked fitting depending on the gear style.
- Gab Hook (or Slip-Link): On gab gear, a curved hook on the eccentric rod drops onto a pin on the valve spindle. Two pins exist — one for fore, one for back. The driver raises the hook with a hand lever to disengage. Hook-to-pin clearance must stay under 0.5 mm or valve timing wanders.
- Slide Valve and Spindle: A flat D-shaped valve sliding across the steam ports on the cylinder face. Lap is typically 6-10 mm and lead 1-2 mm on early designs. The spindle takes the motion from the gab and shoves the valve through 80-150 mm of total travel.
- Reversing Lever: A hand bar in the cab, pinned to a quadrant. Pulling it lifts both gab hooks together. There is no notching mid-position — it is fore, mid (off), or back. Mid-gear cuts steam entirely.
Real-World Applications of the Single Eccentric Reversing Gear
The gear belongs almost entirely to the 1820s-1840s pioneer era of steam, but you still see it on preserved engines, museum builds, model engineering projects, and a handful of stationary applications where simplicity beats efficiency. If you are restoring or building a pre-1845 locomotive replica, you will encounter this gear and you need to understand what it can and cannot do before you light a fire in the firebox.
- Heritage Railways: The replica of Stephenson's Locomotion No. 1 at Beamish Museum in County Durham runs original-style loose eccentric gear and demonstrates the hand-reversing procedure to visitors.
- Museum Locomotives: The 1829 Rocket replica at the National Railway Museum in York uses a near-period gab gear arrangement on its cylinders for accurate operation.
- Model Engineering: Live-steam 5-inch gauge builds of pre-Stephenson prototypes — typically Reeves 2000 castings or LBSC designs — use scaled slip eccentric gear for historical correctness.
- Stationary Steam Engines: Small workshop mill engines from the 1830s, like those on display at Kew Bridge Steam Museum, used gab gear because the engine reversed only at shutdown.
- Marine Steam (Early): Paddle steamers built before about 1840, including early Clyde-built vessels, used slip eccentric gear with hand-operated gab hooks to dock and undock.
- Education and Training: Engineering school demonstration rigs — Imperial College London and several US technical museums hold cutaway models showing how the slip eccentric reverses without two eccentrics.
The Formula Behind the Single Eccentric Reversing Gear
The valve's total travel is what the eccentric throw produces, and you size everything else from that. At the low end of useful throw — say 40 mm on a tiny model engine — port opening is shallow and the engine breathes poorly above a few hundred RPM. At nominal throw for a small full-size locomotive of this era, around 60-65 mm, you get clean port opening with reasonable fuel use at low road speeds. Push the throw past 80 mm and you over-travel the valve, hammer the cylinder ends, and burn steam. The sweet spot for a Locomotion-class build sits right at 60-65 mm throw with 8 mm lap and 1.5 mm lead.
Variables
| Symbol | Meaning | Unit (SI) | Unit (Imperial) |
|---|---|---|---|
| Tv | Total slide valve travel per stroke | mm | in |
| e | Eccentric throw (offset of bore from shaft centre) | mm | in |
| λ | Valve lap (overlap of valve face beyond steam port edge) | mm | in |
| ℓ | Valve lead (port opening at dead centre) | mm | in |
| po | Maximum port opening = e − λ + ℓ | mm | in |
Worked Example: Single Eccentric Reversing Gear in a Beamish-style Locomotion replica build
Your heritage steam workshop in Darlington is fabricating a working replica of an 1827 Stockton & Darlington pattern 0-4-0 with a single eccentric gab gear, and you need to set the valve travel and port opening for a cylinder with a 50 mm wide steam port. The eccentric throw is 60 mm nominal, valve lap is 8 mm, and you want to check what happens if a junior fitter sets the throw at 40 mm by mistake or oversizes it to 80 mm.
Given
- enom = 60 mm
- λ = 8 mm
- ℓ = 1.5 mm
- Port width = 50 mm
Solution
Step 1 — at nominal 60 mm eccentric throw, compute total valve travel:
Step 2 — compute maximum port opening at nominal throw:
This slightly over-travels the 50 mm port — the valve uncovers the full port and then slides 3.5 mm past the edge. That is exactly what you want, because it guarantees full port opening even with 1-2 mm of wear or thermal growth in the rod.
Step 3 — at the low-end mistake of 40 mm throw:
You only uncover 67% of the port. The engine will run, but it sounds breathy and short of steam at any road speed above walking pace — you can hear the throttling. A driver of one of these replicas will tell you the chimney sound goes from a clean four-beat bark to a wheezy hiss.
Step 4 — at the high-end mistake of 80 mm throw:
Total travel jumps to 176 mm. The valve hammers the back of its travel hard against the cover, you get a metallic knock at every stroke, and the gab hook pin loads spike past 200% of design. You will crack the gab pin within a week of running.
Result
Nominal valve travel sits at 136 mm with 53. 5 mm peak port opening — clean four-beat exhaust and full port uncovery on every stroke. At 40 mm throw you only get 33.5 mm port opening (67% of port width) and the engine wheezes; at 80 mm throw the valve hammers and the gab pin fails fast. The sweet spot is tight — you really do want 58-65 mm throw and not a millimetre outside that. If your measured port opening comes in below the predicted 53.5 mm on a fresh build, check three things in order: (1) the eccentric strap clearance has crept past 0.15 mm and is eating travel as backlash, (2) the gab hook is sitting proud of the pin by 0.5+ mm because the lift lever quadrant is mis-set, or (3) the eccentric key has spun in its keyway and the throw is actually 5-8 mm less than you think — pull the strap and measure shaft-to-bore offset directly with a vernier.
Choosing the Single Eccentric Reversing Gear: Pros and Cons
Single eccentric gear is the simplest reversing arrangement that works, and that is its only real virtue. Compare it to what came after on the same locomotives and the picture is brutal — but for a museum build, simplicity and historical accuracy outrank efficiency every time.
| Property | Single Eccentric Reversing Gear | Stephenson Link Motion | Walschaerts Valve Gear |
|---|---|---|---|
| Variable cutoff range | None — fixed at 75-80% | 10-85% adjustable | 10-90% adjustable |
| Reversing under load | No — must stop engine | Yes | Yes |
| Number of eccentrics per cylinder | 1 | 2 | 1 (plus return crank) |
| Typical fuel economy (relative) | Baseline (worst) | 30-40% better | 35-45% better |
| Maximum practical road speed | ~25 mph (40 km/h) | 70+ mph (110+ km/h) | 100+ mph (160+ km/h) |
| Mechanical complexity | Lowest — 5-6 moving parts | Medium — 12+ parts | Highest — 15+ parts |
| Era of common use | 1820-1842 | 1842-1900 | 1880-end of steam |
| Build cost on a replica | Lowest | Medium | Highest |
Frequently Asked Questions About Single Eccentric Reversing Gear
Almost always the engine is stopped exactly on dead centre and the slip eccentric has no torque to rotate against its driving dog. The eccentric needs the crank to move 5-15° past dead centre before it can re-seat against the opposite stop. Hand-bar the wheels a quarter turn in the direction you want to go, then drop the gab — it will catch.
If that does not fix it, the slip stops themselves are worn. On an original-pattern build, the dogs should engage with no more than 1 mm of free play. Past 3 mm you lose enough phase that the valve event lands wrong on the new direction.
Asymmetric cutoff between fore and back is a giveaway that the two gab pins on the valve spindle are not set exactly 180° apart. On a single eccentric gear, both directions share the same eccentric throw, so the only thing controlling the timing difference is the angular spacing of those pins. A 5° error there shifts cutoff by roughly 8% of stroke.
Pull the spindle, mark dead centres on the crankshaft, and re-set the back pin with a vernier protractor referenced to the fore pin. Aim for ±0.5° spacing accuracy.
Build single eccentric only if historical accuracy is the goal — a pre-1842 prototype like Locomotion, Rocket, or Sans Pareil. For anything else, Stephenson link motion is worth the extra two eccentrics and the expansion link. You get variable cutoff, you reverse under load, and you can drive the engine usefully on a club track instead of crawling.
The build cost difference on a 5-inch gauge model is maybe 15% more for Stephenson — trivial against the operational gain.
That 6% deficit is too large for backlash alone. The most likely cause is that the eccentric is not actually at 60 mm throw — somebody bored the disc with the offset measured to the wrong reference, or the keyway has worn and the disc has crept on the shaft. Pull the strap and measure the bore offset directly with a depth gauge across a vee-block. You will usually find the real throw is 56 mm, not 60.
Second possibility — the eccentric rod has bent slightly and is taking up motion as elastic deflection rather than passing it to the spindle. Lay the rod on a surface plate and check straightness within 0.2 mm.
Not in any practical way. The single eccentric fixes both the valve event and the cutoff because both are determined by the same throw and lap. The only knob you have is the lap itself, and you cannot change that while running — it is a physical dimension of the valve face. Some 1830s designers tried sliding-block compromises but they all failed in service.
If you want variable cutoff, the honest path is a gear conversion. The frame and cylinders usually accept Stephenson without major surgery — you are adding one eccentric per side and an expansion link.
Knock at end-of-stroke on this gear is almost always the slide valve hitting its cover because total travel exceeds the valve chest's internal clearance. Recheck Tv = 2e + 2λ against your steam chest internal length, leaving at least 3 mm clearance at each end of valve travel. If the chest is too short, you are hammering the cover plate every stroke and you will crack it.
Less commonly, the gab hook is bottoming on the pin shoulder rather than seating on the pin itself — that gives a duller knock and you can find it by chalking the hook face and running the engine briefly by hand.
References & Further Reading
- Wikipedia contributors. Stephenson valve gear. Wikipedia
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