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Radial Magnets — We Know Magnets
Design & assembly

Backing plates, pot cups and flux return

A steel cup around a magnet is the cheapest performance in magnetics. It typically doubles or triples holding force for a few cents of low-carbon steel, shields the back face, and protects a brittle part. It also fails silently if the steel is too thin, and nothing on the drawing will tell you.

written for design engineers specifying holding and latching assemblies
Chapter 01

Why the cup does so much

A bare magnet in air sends most of its flux on a long journey through nothing. Air has a permeability about the same as vacuum, so that return path has enormous reluctance, and the magnet is forced to work hard against its own geometry just to push flux around it. Wrap the back and sides in steel and you replace most of that path with a material some hundreds to thousands of times more permeable.

reluctance falls
The return path is now steel rather than air, so the circuit carries more flux for the same magnet
working point rises
A higher permeance coefficient moves the magnet up its demagnetization curve, away from the knee
flux concentrates
It emerges at the working face rather than spreading around the whole body
back face goes quiet
The steel contains the field behind the assembly, which matters near electronics and cards
the part gets protected
Sintered NdFeB is brittle; a cup takes the impact and the chipping that would otherwise reach the magnet
mounting becomes possible
You cannot tap a thread into a magnet. You can into a cup

The gain in holding force is typically a factor of two to three over the same magnet bare, and on short, wide magnets — the ones that self-demagnetize hardest — it can be more. That is a large return for a turned or stamped low-carbon steel part.

Steel first, then more magnet

When a holding design comes up short, the reflex is to specify a larger or higher-grade magnet. Adding or thickening the flux return is nearly always cheaper per newton, and it improves the thermal margin as a side effect by raising the working point. Exhaust the steel before you buy grade.

Chapter 02

The common forms

Flux return shows up in several standard shapes. They differ in how completely they close the circuit and therefore in how much they gain.

FormSteel coversTypical gainSuits
Backing plateRear face only1.3–1.8×Flat mounting, thin envelopes, where sides must stay clear
Pot magnet / cupRear face and full circumference2–3.5×The default holding assembly; threaded, countersunk or plain
Channel assemblyRear and two long sides2–3×Long rectangular holding, mounting rails, door latches
Shallow potRear and a short skirt1.6–2.2×Thin assemblies where a full cup will not fit
Two-pole face plateRear plus a central or outer pole extensionVaries widelyBringing both poles to one working face, thin-gap holding
Yoke / horseshoeA full return arm to a second pole faceLargeWhere the target spans two poles — separators, clamps

The two-pole arrangement is worth understanding, because it changes the character of the assembly rather than just its magnitude. Bringing both poles to the same working face gives a very short flux path through the target, which makes the assembly extremely strong in direct contact and very weak across even a small gap. That is ideal for a latch on a clean flat surface and wrong for anything that must reach.

FLUX PATH: BARE MAGNET VS. STEEL CUP bare magnet N/S target long path through air same magnet in a cup N/S target short path through steel cup wall
The bare magnet's flux takes a long, high-reluctance route through air and much of it never reaches the target at all. The cup hands the return path to steel and delivers the flux across a short gap at the working face — the same magnet, doing considerably more work.
Chapter 03

Sizing the steel so it does not saturate

This is the part that gets left to whoever draws the cup, and it is where cup assemblies quietly underperform. Steel carries flux beautifully right up until it saturates, at which point its permeability collapses toward that of air and the return path stops working. The wall has to be thick enough to carry the flux the magnet produces.

Φ = Bm · Am
Asteel ≥ Φ / Bsat,design
Bm = flux density at the magnet working point, T — not Br
Am = magnet pole area, m²
B_sat,design = 1.2–1.5 T for low-carbon steel, leaving margin below true saturation

Apply it at each place the flux is funnelled. For a round pot magnet the two that matter are the base and the wall.

base
Carries the full flux radially outward; thickness sized on the annulus cross-section it presents
wall
Cross-section is the annulus π(ro² − ri²); usually the tighter of the two
corner
Flux crowds at the inside corner — a fillet or a slightly thicker section there is cheap insurance
rule of thumb
Wall annulus area roughly equal to the magnet pole area is a sound starting point

A worked cup

A 20 mm diameter, 6 mm thick N42 disc, working point around 0.6 T in the assembled circuit.

pole area
π × (0.010)² = 3.14 × 10⁻⁴ m²
flux
0.6 × 3.14 × 10⁻⁴ = 1.89 × 10⁻⁴ Wb
steel area needed
1.89 × 10⁻⁴ / 1.4 = 1.35 × 10⁻⁴ m²
wall thickness
Annulus from r = 10 mm needs ro ≈ 12.0 mm — a 2 mm wall
base thickness
Similar order; 2–3 mm is typical for this size

Note that halving the wall to 1 mm does not halve the performance — it does considerably worse than that, because once the wall saturates the additional flux has nowhere useful to go and the working point falls with it. Thin walls are a false economy in a part that already costs cents.

The failure is invisible

A saturated cup looks exactly like a correct one. There is no noise, no heat and no visual difference — only a holding force perhaps 30% below what the magnet should deliver, which is easily mistaken for a weak magnet and leads to a warranty conversation with the wrong party. If an assembly underperforms, measure the bare magnet first to establish which component is actually short.

Chapter 04

Which steel, and which ones quietly fail

The flux return has to be ferromagnetic, and a surprising number of specifications are not. This is the single most common material error in magnetic assembly design.

MaterialMagneticSaturationNotes
Low-carbon steel (1006–1020)Yes — excellent~2.0–2.1 TThe default. Cheap, high permeability, easy to machine and stamp. Needs plating
Electrical / silicon steelYes — excellent~1.9–2.0 THigher resistivity; worth it only where flux alternates
430 stainless (ferritic)Yes — good~1.5 TThe corrosion-resistant option that actually works magnetically
416 stainless (martensitic)Yes — moderate~1.4 TMachinable, magnetic, moderate corrosion resistance
304 / 316 stainless (austenitic)NoEssentially non-magnetic. A very common and costly mistake
Aluminium, brass, copperNoNo flux return. Also conductive, which matters if anything moves
Nickel-iron (mu-metal)Yes — very high μ~0.7–0.8 TFor shielding, not for carrying working flux — saturates early

The 304 error is worth dwelling on because it survives review so easily. The drawing says stainless steel, the corrosion requirement is satisfied, the part looks right, and the assembly is 60% weaker than intended with no obvious cause. If corrosion resistance is genuinely required, 430 is the answer; it is ferritic, it is magnetic, and it costs little more.

Mu-metal is the mirror-image mistake. Its very high permeability makes it excellent at diverting stray field — which is what shielding is for — but its low saturation means it is the wrong choice for a return path that must carry the magnet's full working flux. Shielding material and flux-return material are different jobs.

Cold working changes magnetic properties

Heavily drawn or stamped low-carbon steel has reduced permeability compared with annealed material, and a deep-drawn cup can measure noticeably below a machined one of identical geometry. Where the last few percent matter, specify an anneal after forming.

Chapter 05

What actually sets the holding force

Once the steel is right, performance is dominated by the interface rather than by the magnetics. This ordering surprises people, and it is why measured assemblies come in below calculated ones.

air gap
The dominant term by a wide margin. Tenths of a millimetre matter; a millimetre is often decisive
target thickness
Too thin and the target saturates — typically you want at least the magnet's own flux-carrying section
target material
Low-carbon steel; the same 304 caveat applies to what you are holding onto
flatness and finish
A ground face contacts; a rough or bowed one leaves an air film across most of the area
coating thickness
Plating on the pole face is gap. Epoxy is more gap than nickel. It is not free
contact area
Force scales with the area that genuinely carries flux, not the area on the drawing
shear vs. normal
Sliding resistance is typically 15–30% of normal pull, governed by friction rather than magnetics

The shear figure catches out latch and fixture designs regularly. A pot magnet rated at 200 N normal will slide sideways off a smooth painted surface at perhaps 30–50 N, because what resists the slide is friction — the magnetic force only supplies the normal load. If the application loads the joint in shear, either design in a mechanical location feature or size on the shear figure, and treat any published shear number as specific to the surfaces it was measured against.

The coating point deserves the same attention. A 25 µm nickel plating on both the magnet face and the target adds 50 µm of gap before anything else in the tolerance stack, and on a short assembly that is a measurable loss. Where maximum holding matters, consider whether the working face needs its full coating thickness, and check the choice against the coatings comparison so corrosion protection is not traded away carelessly.

Chapter 06

Building the assembly

Getting the magnetics right still leaves a mechanical problem: holding a brittle magnet inside a steel cup, permanently, through temperature and vibration.

MethodHolds againstWatch for
Structural adhesiveNormal and shear service loadsSurface prep, cure control, and thermal range — the bond, not the magnet, is usually the limit
Adhesive plus mechanical lipEverything, including adhesive failurePreferred wherever the assembly is safety-relevant or rotates
Press fitSustained loadHoop stress will crack a sintered magnet; press the steel, not the magnet
PottingVibration and impactCure shrinkage can pre-stress a brittle part; check the resin
Crimp or stakeHigh load, high volumeTooling cost; risk of chipping at the crimp if the magnet is unprotected

Two practices matter more than the choice between them. Assemble unmagnetized wherever the volume justifies it, because placing an inert magnet in a steel cup is straightforward and placing a magnetized one is a fight against a part that wants to slam into the wall and chip. And never rely on adhesive alone in a rotating or safety-relevant assembly — give the magnet a lip, a pocket or a retaining feature, with the adhesive positioning rather than carrying the load. The retention design guide covers the calculation, and make versus buy covers whether the magnetizing step belongs in your building at all.

Assembled magnets are stronger than you expect

A cup assembly concentrates flux at one face, so the completed part grabs ferrous objects considerably harder than the loose magnet did. Assemblies that were manageable as components become genuinely hazardous once built, particularly in the larger sizes. Store finished assemblies separated and face-down on a non-ferrous surface, and follow the handling guidance.