Once the powering estimate says how much thrust the hull needs, this chapter works through what actually delivers it — the engine, the shaft line, the gearbox or converter, and the generators that keep pumps and hotel loads running underway.
Choosing a prime mover starts with the ship's actual speed-time profile, not with a single design point on a curve. A product tanker running flat out for weeks between coasts, a supply vessel spending half its life on dynamic positioning, and a ferry doing forty short hops a day are three different sizing problems even if their installed power comes out similar on paper.
Slow-speed two-stroke diesels, direct-coupled to the propeller with no gearbox, remain the default for large deep-sea ships: they turn at propeller-friendly revolutions, burn heavy fuel, and post the best thermal efficiency of any marine prime mover across most of their range. The price is a single point of failure — lose that one engine and there is no propulsion — and a physically long, heavy installation.
Medium-speed four-stroke diesels turn faster than any propeller wants to, so they need a reduction gearbox, but they are lighter and more compact for a given power, and it is easy to fit two or more of them on one gearbox for redundancy or to shut one down and run efficiently at part load. Gas turbines go further in the same direction: very high power density and fast starts, at the cost of poor part-load specific fuel consumption and a real appetite for clean fuel, so they tend to appear either alone on fast, light craft or alongside diesels in combined plants that hand off between the two as speed demands.
An engine's data sheet gives one efficient point; a ship lives across a whole speed-time profile. The right prime mover is the one whose best-efficiency band sits under where the ship actually spends its time, not the one with the largest number on the MCR line.
A fixed-pitch propeller absorbs power in a very particular way. Its thrust and torque coefficients depend on the advance coefficient — essentially the ratio of ship speed to propeller rpm — and for a ship running close to its normal speed-length relationship, that ratio stays roughly constant as revolutions change. Work the non-dimensional groups back out and, for one particular hull and fouling condition, torque comes out proportional to the square of revolutions and power to the cube.
The catch is that word "one." A clean hull on trial and a fouled hull two years into a docking cycle are different curves entirely, both obeying the cube law individually but sitting at different heights. On the fouled, heavier curve, a given rpm demands more torque than it did on the clean one. Engines, meanwhile, have their own limit: a maximum torque they can deliver, set by the turbocharger and fuel system, which is reached before the rpm limit if the propeller curve is heavy enough.
The light running margin is the gap built in to cover that difference. The engine and propeller are matched so that MCR sits on a design ("heavy") curve that already assumes some in-service fouling; on trial, with a clean hull, the same engine reaches MCR power at a noticeably higher rpm — typically 4–7 % above rated. That headroom is what keeps the operating point clear of the torque limit as the hull fouls, the draught changes between loaded and ballast condition, or the ship pushes into heavy weather, all of which move the propeller curve toward "heavier."
The shaft line carries three distinct loads at once, and a diameter chosen for one of them can still be wrong for another. Torsion, from the torque the engine delivers, sets the basic diameter through a straightforward strength check. Thrust, the axial push the propeller generates, has to be carried back through a thrust bearing to the hull structure rather than through every intermediate bearing along the way. And the whole line, from crankshaft to propeller, behaves as a torsional spring-mass system with its own natural frequencies.
That formula also carries a useful piece of intuition: diameter only grows with the cube root of torque. A modest increase in rated power costs relatively little in shaft diameter; a large one costs a great deal, because the relationship is anything but linear once you work back from stress to size.
Alignment matters as much as diameter. A shaft line running through several bearings — main engine, gearbox, one or more intermediate bearings, stern tube — has to share its weight and thrust sensibly across them; get the alignment wrong and one bearing carries far more than its share while another barely touches its shaft, showing up later as abnormal wear or a hot bearing rather than as an obvious fault at commissioning.
Torsional vibration is the least intuitive of the three. The engine's firing impulses excite the shaft line's torsional natural frequencies, and where one of those frequencies falls inside the normal operating speed range, running continuously at that rpm can drive vibratory stress well beyond what steady torque alone would suggest. The fix is not to redesign the shaft for every ship — it is to identify the offending rpm band and bar the engine from dwelling in it, passing through quickly on the way to a different speed instead.
A shaft that passes a static torsion check is not automatically fine — it still has to be checked dynamically for barred speed ranges before anyone signs off the operating envelope.
Propeller efficiency generally improves with a larger, slower-turning propeller, up to the point where blade tip speeds start inviting cavitation. Medium- and high-speed engines turn far faster than that optimum, so a reduction gearbox sits between engine and shaft to let each side run at the speed that suits it — the engine near its rated rpm, the propeller at the rpm the powering estimate actually calls for.
A single engine driving through a single reduction stage is the simplest arrangement. Multiple-input gearboxes, combining two or more engines onto one output shaft, add flexibility: run both engines for full power and speed, or declutch one and run on the other alone for slow-speed economy or maintenance, without losing propulsion altogether. That same declutching ability is what lets a combined diesel-and-gas-turbine plant hand off between prime movers as the speed demand changes.
Flexible couplings between engine and gearbox absorb the torsional irregularity that comes from individual cylinder firing pulses and take up the small misalignments that inevitably exist between two separately mounted machines. Gear teeth themselves are sized and lubricated to a defined duty cycle, and because a gearbox is comparatively unforgiving of misalignment, the whole line's alignment tolerance often ends up governed by the gearbox rather than by the shaft bearings either side of it.
Diesel-electric propulsion breaks the direct mechanical link between prime mover and propeller entirely. Engines drive generators; generators feed a common electrical bus; propulsion motors, fed from that bus, turn the propeller at whatever speed the ship needs. Engine speed and propeller speed are no longer the same question.
That decoupling buys three things at once. Each generating set can run near its own best-efficiency point regardless of ship speed, rather than being dragged up and down a single engine's efficiency curve as the propeller demands vary. Load can be shared across several smaller sets instead of carried by one large engine, so at reduced ship speed some sets can be shut down altogether rather than all of them idling at low, inefficient load. And because propulsion no longer depends on one specific engine surviving, losing a generating set is a capacity reduction rather than a total loss of propulsion — valuable on vessels that need to hold position or manoeuvre precisely, such as those with dynamic positioning.
None of that comes free. Every conversion — mechanical to electrical at the generator, electrical to mechanical again at the motor, plus whatever power electronics sit in between — sheds a little energy as heat, and those losses stack. The electrical plant itself becomes larger and more complex: more switchboards, more protection, more places for a fault to hide. Hybrid arrangements try to take the useful parts of this without going fully electric — a shaft generator or shaft motor bolted onto an otherwise conventional shaft line, or a battery bank buffering transient loads so the engines can be run at steadier, more efficient output and, in port, for brief periods of quiet, zero-emission running.
Electric propulsion is a trade of conversion losses for flexibility and redundancy — it suits a demanding, variable load profile far better than it suits a ship that simply steams at one speed for days on end.
Sizing the ship's generators starts with a table, not a rule of thumb. Every electrical consumer is listed with its rated power and a load factor for each operating condition — at sea, in port, manoeuvring, emergency — reflecting how hard it actually runs rather than its nameplate rating. A steering gear motor rated at a hundred kilowatts might run at a fraction of that most of the time at sea and briefly much harder while manoeuvring; a continuous cooling water pump runs close to its rating whenever it runs at all. Multiplying rating by load factor and summing the column gives the absorbed load for that condition — the figure that actually matters.
Generators are then sized on whichever condition turns out to be the worst — often manoeuvring or an emergency scenario rather than the steady at-sea condition — with a design margin added for growth and estimating uncertainty, and enough sets specified so that one can be down for maintenance or repair without shedding load. Sizing on the sum of connected nameplate ratings instead of the load-balance figure is a common shortcut, and it is a poor one: it ignores diversity between consumers and tends to land on a plant that is bigger, and more often lightly loaded, than the ship actually needs.
Fuel consumption follows once the power is known, using the specific fuel oil consumption quoted for that engine at that load. The figure only means anything, though, once it has been corrected to a common reference — ambient temperature, pressure, humidity and fuel calorific value all shift a test-bed SFOC number, and comparing two engines' consumption figures without correcting both to the same reference conditions is comparing two different tests, not two different engines.
The three examples below work through the mechanisms above with real numbers: a light running margin that has quietly turned negative, a shaft diameter checked against both its current duty and a proposed re-rating, and a full load balance used to size the sea-going generating plant.
A container feeder is fitted with a slow-speed diesel rated 6000 kW at 100 rpm MCR, matched to the propeller on the design (heavy) curve at that point. The plant was built with a 5 % light running margin, so on trial with a clean hull the engine reached 6000 kW at 105 rpm. Two years on, with the hull noticeably fouled, the chief finds that at full fuel rack the engine will not turn past 97 rpm before the load indicator shows the torque limit has been reached. Taking the torque limit line as essentially horizontal through the MCR point over this speed range, how much power is actually available at 97 rpm, and what does that say about the hull?
MCR = 6000 kW at 100 rpm (design/heavy propeller curve) Built-in light running margin = 5 % (trial: 6000 kW at 105 rpm, clean hull) In service: torque limit reached at 97 rpm
First, fix what the torque limit line means here.
Over the normal service speed range the engine's maximum torque is set by the turbocharging and fuel system, not by rpm, so the limit line through the MCR point runs close to horizontal — constant torque, not constant power.
Because torque.
Not power, is capped, power along that limit line is directly proportional to rpm. The power available at 97 rpm is simply the MCR power scaled by the rpm ratio.
Compare that with the margin the ship was built with.
A 5 % light running margin meant the engine could reach 105 rpm — 5 % above rated — at MCR power on a clean hull. Hitting the torque limit at 97 rpm, 3 % below rated, means the operating point has swung from 5 % light to about 3 % heavy.
Answer≈5820 kW available at 97 rpm — about 180 kW (3.0 %) short of MCR. The margin has swung from +5 % light running to roughly −3 % heavy; the hull needs cleaning before the next passage.
The trap: opening the fuel rack further to chase 100 rpm does not recover the missing power — it only pushes torque beyond the limit line, risking overfuelling, high exhaust temperatures and turbocharger surge for no useful gain.
A single-screw product tanker's intermediate shaft is proposed at 450 mm solid diameter, carrying the torque from a main engine rated 9000 kW at 120 rpm MCR. The shaft steel gives an allowable working shear stress of 50 N/mm². Confirm the diameter is adequate at MCR, then check whether it would still be adequate if the owner later re-rates the engine to 11250 kW (a 25 % power increase) at the same rpm.
MCR = 9000 kW at 120 rpm Proposed shaft diameter d = 450 mm (0.45 m), solid Allowable shear stress τ_allow = 50 N/mm² Proposed re-rating: 11250 kW at 120 rpm (+25 %)
Convert power and speed to torque.
Put N in rev/s first, then find the torque the shaft must carry at MCR.
Convert that torque to shear stress for the proposed diameter using the solid-shaft torsion formula, then compare with the allowable stress.
Now check the proposed re-rating.
At a fixed diameter, torsional stress is directly proportional to torque, and torque is directly proportional to power at constant rpm, so a 25 % increase in power scales the stress by the same 25 %.
AnswerAt MCR the shaft runs at 40.0 N/mm² — 80 % of allowable, a comfortable 20 % margin. At the proposed +25 % re-rating it would sit at essentially 50.0 N/mm², right on the allowable limit with no margin left, so the diameter could not stay at 450 mm.
The trap: reading the 20 % stress margin at MCR as 20 % of power headroom. Because diameter only grows with the cube root of torque, a modest power increase looks cheap in stress terms right up until it consumes the whole margin, as it does here at +25 %.
A general cargo ship's at-sea electrical load balance lists seven consumers. Build the load balance, apply the yard's standard 10 % design margin, and decide how many 250 kW generators should run at sea, with the plant able to lose one set to maintenance without shedding load.
At-sea loads (rating, load factor): Cooling water pumps 150 kW, 0.80 Lube oil pumps 90 kW, 0.75 Fuel oil service pumps 40 kW, 0.60 Air compressors 75 kW, 0.50 Accommodation / HVAC 120 kW, 0.90 Navigation & misc 60 kW, 0.70 Steering gear (at sea) 100 kW, 0.15 Design margin = 10 % Generator size available = 250 kW each
Absorbed load.
| Consumer | Rating (kW) | Load factor | Absorbed (kW) |
|---|---|---|---|
| Cooling water pumps | 150 | 0.80 | 120.0 |
| Lube oil pumps | 90 | 0.75 | 67.5 |
| Fuel oil service pumps | 40 | 0.60 | 24.0 |
| Air compressors | 75 | 0.50 | 37.5 |
| Accommodation / HVAC | 120 | 0.90 | 108.0 |
| Navigation & misc | 60 | 0.70 | 42.0 |
| Steering gear | 100 | 0.15 | 15.0 |
| Total | 414.0 |
Not nameplate rating, is what the generators actually see. Multiply each consumer's rating by its load factor for this condition and total the column — this is the 'at sea' balance, kept separate from the port and manoeuvring balances.
Add the design margin for load growth.
Estimating uncertainty before choosing generator size and number — the margined figure is what actually gets sized, not the raw total.
Choose the running sets, then add the standby.
Two 250 kW sets give 500 kW of running capacity, enough to cover 455.4 kW at a sensible loading, with a third identical set held as standby so one machine can come off for maintenance without shedding any load.
AnswerRun 2 of 3 × 250 kW generators at sea (≈91 % loaded, ~9 % spare capacity), with the third as standby/maintenance cover — sized on the 455.4 kW load-balance figure, not on the 635 kW of connected nameplate rating.
The trap: sizing generators from the sum of connected nameplate ratings (635 kW here) instead of the load-balance total after load factors (414 kW, 455 kW with margin). That overstates the requirement and can justify a bigger plant than the ship needs, while diversity between continuous and intermittent consumers still goes unexamined.
P = 2π·N·QShaft power from torque and speed (N in rev/s)P ∝ N³, Q ∝ N²Propeller law, along one fixed-pitch propeller curveLight running margin 4–7 %Trial rpm above rated rpm at MCR power, clean hullτ = 16T/(πd³)Torsional shear stress, solid shaftη_mech = BP/IPMechanical efficiency, typically 0.85–0.92SFOC (g/kWh)Compare only after correcting to a common reference conditionFuel/day = P·SFOC·24/10⁶Tonnes per day at a given powerLoad balanceΣ(rating × load factor), summed separately per operating conditionGenerator sizingWorst governing condition + design margin, never connected loadBarred speed rangerpm band avoided where a torsional natural frequency resonates