Press fit and oil film solved together: how much press retains the bushing, how the running clearance moves with temperature and speed, and when it seizes, spins, or touches metal.
Updated: 7/4/2026
1 · The system — shaft · bushing · housing
Shaft Ø (journal)
in
Shaft material
Bearing length L
in
Running clearance
in Ø
Bore finished
Bushing material
Bushing wall
in
Housing material
Housing OD
in
Press interference
in Ø
Press friction µ
Shaft bore Ø (0 = solid)
in
Journal Ra
µin
Bore Ra
µin
2 · Lubricant & temperatures
Oil / grease
Housing temp
°F
Shaft runs hotter by
°F
Oil inlet
Oil supply temp
°F
3 · Operating point
Radial load W
lbf
Journal weight Wj
lbf
Speed
rpm
Design: retention SF ≥
Worst-case retention SF 108.6 vs target 3 ✓ press holds
Design: running Λ ≥
Λ peaks at 21 near 0.0035 in Ø; Λ ≥ 3 from 0.0008 to 0.008 in Ø — your bore window. Yours: 0.0025 → Λ 19.7 ✓
One click runs the whole workflow — bore at the film optimum → lightest press that holds it → every margin — and writes the two specs into the inputs above. The advice lines above update live on every edit, no clicking needed.
System solution — film · retention · limits
FULL FILMΛ = 19.71 — hydrodynamic — surfaces separatedretention SF 108.65
Running clearance Ø
0.0028 in
Min film h₀
0.00088 in
Λ
19.71
Film drag torque
0.44 ft·lbf
Power loss
0.15 hp
Oil ΔT
27.6 °F
Press retention p
1,239 psi
Holding torque
246.8 ft·lbf
Cold-start drag
2.66 ft·lbf
Press stack min SF
1.53
System limits — when does it seize, spin, or touch?
Retention = press holding torque ÷ film drag torque (cold start = 20 °C oil at full speed, before self-heating). Every threshold re-solves the full chain: press stack, shaft growth, film and its thermal loop. The whirl limit is the rigid-rotor value and scales with √(W/Wj) — Wj is the journal weight this bearing carries (blank ⇒ = W, gravity-loaded). Gear or belt load beyond gravity raises the onset; a net-unloaded or vertical shaft (W < Wj) whirls sooner. Shaft flexibility lowers it further.
Full numeric solution
As-built clearance Ø (cold)
0.0025 in
Running clearance Ø (operating)
0.0028 in
Bore motion (press + thermal)
0.0013 in
Shaft growth (thermal + centrifugal)
0.001 in
Press interference Ø
0.0025 in
Retention pressure
1,239 psi
Holding torque (operating / cold)
246.8 / 288.9 ft·lbf
Film drag (operating / cold start)
0.44 / 2.66 ft·lbf
Press-stack min SF (bushing/housing)
1.53
Shaft SF (spin + thermal)
8,851.08
Film ε / attitude
0.378 / 66.5°
Peak film pressure
309 psi
Oil at T_avg
23.3 cSt
Side leakage
0.172 L/min
How the gap behaves: running clearance and minimum oil film vs housing temperature (shaft holds its offset above it). The red line is seizure (clearance = 0); amber is the full-film floor (Λ=3). White dot = operating point.
Retention across temperature: the press-fit holding torque vs the film drag torque the joint feels. Where the curves close, the bushing is at risk of spinning — watch aluminum housings hot and thick oil cold.
Designing a fit with this page — the workflow
Enter what the application already fixed: the bearing you chose (shaft Ø and material,
bushing wall and material, housing, length), the oil, and the duty — load, speed, housing temperature, and how much
hotter the shaft runs. These are inputs, not design variables.
Watch the live advice in section 3. It re-solves on every edit: the clearance line shows
where Λ peaks, the bore window that keeps Λ above your target, and where your current bore sits in it; the press line
shows the worst-case retention safety factor (operating vs 20 °C cold start) against your target. Nothing to click.
Press “Design fit & clearance” to apply the whole design at once: the bore clearance
goes to the Λ peak — the film optimum, which is also the widest tolerance window — and the press interference becomes the
lightest that meets your retention target in the worst case and still grips through a housing excursion of
+45 °F (+25 °C) — an SF met only at the exact operating temperature is a paper margin in an aluminum housing.
A pre-finished bushing gets the press close-in charged against the bore spec, so the running clearance still lands on
target after pressing.
Read the margins in the spec card and the limits table: seizure ΔT, hot spin-out,
the cold-start grip limit, the load ceiling at Λ = 1, and the press-stack stresses. If the bushing yields
locally at the required press, line-bore after pressing or move up a housing material.
Turn the Λ window into drawing tolerances: any bore inside the quoted band keeps the film
regime, so it is a defensible tolerance window, not a single magic number. Keep the press near the light end when the
stack SF is marginal; go heavier when cold-start drag governs.
How this calculator works
Three solvers run as one system. The bushing-in-housing press fit is solved by the same validated
thick-cylinder engine as the Press-Fit Designer, at the housing metal temperature — giving the retention
pressure and holding torque, the bushing-bore close-in, and the stack stresses. The shaft is solved
separately for its thermal and centrifugal growth. The difference of those motions is the running
clearance, which feeds the same Reynolds-equation film solver as the Journal Bearing page (with its
lubricant library and thermal loop). The film's friction torque is then the torque that tries to spin the
bushing in its bore: retention safety factor = press holding torque ÷ film drag torque, checked both at
the operating point and at a 20 °C cold start with thick oil. Every limit — seizure, spin-out, load
ceiling — re-solves this whole chain.
Scope: steady load, plane-stress elasticity, uniform metal temperatures per part, laminar film, no
misalignment or grooves. Axial retention and torsional service loads through the shaft add to the film
drag when sizing the press — apply your own service factor on the retention SF.
How It Works
A pressed-in journal bearing is two machines sharing one part. The press fit is a friction joint:
interference between the bushing OD and the housing bore creates contact pressure, and pressure × friction ×
contact area is the torque that keeps the bushing from spinning. The oil film is a
self-acting hydrodynamic
bearing: the rotating shaft drags oil into the converging wedge of its running clearance and floats on the
pressure that builds there. The two are coupled through geometry and temperature. Pressing the bushing closes its
bore; heating the housing, the bushing, and the shaft moves the clearance (and the grip) by their differing thermal
expansions; spinning the shaft grows it centrifugally. So the running clearance the film sees — and the drag torque
the press joint must resist — are moving targets. This page solves the whole chain at once and maps its three
failure modes: seizure (clearance closes to zero, usually a shaft-hotter-than-housing event),
bushing spin-out (film drag exceeds press grip — hot side for aluminum housings that outgrow the
bushing, cold-soak side for steel housings whose bronze bushing shrinks away while the oil thickens), and
metal contact (film thinner than the combined roughness, Λ < 1).
Key Components
Shaft / journal — its temperature rise over the housing is the classic clearance killer, and
its centrifugal growth matters at spindle speeds (a gun-drilled shaft grows roughly 2–3× more than a solid one).
Bushing — bearing bronze (C932 and kin), babbitt-lined shells, or polymer liners. Wall thickness
sets both the press close-in and the hoop stress at a given interference.
Housing — its thermal expansion coefficient relative to the bushing decides whether grip
tightens or dies with temperature: aluminum housings loosen when hot, steel housings let a bronze bushing loosen
when cold-soaked.
The press joint — interference, friction coefficient, and engagement length. Its product,
holding torque, must beat the film drag with margin at the worst temperature, not the nominal one.
Bore finishing method — line-boring after pressing absorbs the close-in; a pre-finished bushing
charges the close-in against the running clearance and must be specified oversize to compensate.
Lubricant — viscosity at the operating temperature carries the load; viscosity at the
coldest ambient sets the start-up drag the press joint must survive.
Common Configurations
Bronze bushing pressed in a cast-iron or steel housing — the industrial default; retention
improves hot, so verify the cold-start corner.
Bronze or steel-backed bushing in an aluminum housing — automotive and aerospace practice;
the housing outgrows the bushing, so the hot spin-out limit governs the press (this page's fit designer guards a
+45 °F housing excursion for exactly this reason).
Thin-wall bearing shells located by crush — engine practice; the crush preload mechanism is
related but not modeled here.
Slip-fit bushings retained mechanically or by adhesive — the fallback when no press window
exists between spin-out and seizure.
Typical proportions — running clearance around 0.001–0.002 in per inch of journal diameter,
press interference of a similar order checked against bushing yield and close-in, L/D between 0.5 and 1. The bore
geometries beyond a plain cylinder (lemon, pressure-dam, tilting-pad — see
John C. Nicholas's survey)
trade capacity for rotordynamic stability.
Advantages and Limitations
Advantages: the bushing is a cheap, replaceable wear part protecting an expensive housing; the
press joint is self-centering with no fasteners and doubles as the heat-conduction path; the film itself gives the
damping, quiet running, and unlimited full-film life of any
hydrodynamic bearing.
Limitations: retention is thermally double-edged — a press sized only at the operating point can
be a paper margin one excursion away, in either direction; pre-finished bushings give up bore to close-in and can
seize at assembly if the press is heavy; heavy presses can locally yield bronze (line-boring absorbs it, and the
elastic SF is conservative); and everything a plain hydrodynamic bearing needs still applies — clean continuous
oil, start/stop wear budget — the limits table includes the rigid-rotor oil-whirl threshold, computed on the
live running clearance. Model scope: steady load,
plain smooth bore, uniform part temperatures, no misalignment, grooves, or crush preload.
Recommendations on application design and material selection are based on available technical data and are offered
as suggestions only. Each user should make their own tests to determine the suitability for their own particular
use. Standards Applied LLC offers no express or implied warranties concerning the form, fit, or function of a
product in any application.
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