Containment · 6 July 2026, updated 3 August 2026 · The force goes as the square of the peak
BS 7671 requires every conductor to withstand the electromechanical forces a fault puts on it.
It says so in four separate places. It gives you no method whatsoever for
working out what those forces are — and the current they depend on is not the one your
fault study hands you.
The short version: the force between conductors goes as the square of
the peak current. An ordinary fault calculation gives you the RMS symmetrical
value, and squaring the peak factor means the RMS answer understates the force by roughly
five times — more at a high X/R. On the worked example below that is the
difference between 1,863 N/m and 9,711 N/m, or about 594 kgf hanging on
every cleat.
1. The force, from first principles
Two long parallel conductors carrying currents i1 and i2,
separated by a distance s, push on each other:
F / L = μ0 · i1 · i2 /
(2π · s) = 2×10−7 ·
i1 i2 / s N/m
Currents in the same direction attract; currents in opposite
directions repel. A short circuit between two conductors is exactly the opposite-direction case,
so the conductors are thrown apart. That is Ampère's force law — the relationship the
ampere itself was once defined by — and it needs no standard, no manufacturer's data and
no software.
Ampère's force law. It is first principles, it needs no standard, and it is the only part of this subject that is genuinely simple.
Under normal load this is a curiosity: a few newtons per metre, comfortably carried by whatever
is holding the cable up. Under fault it is the whole story, and it arrives within the first few
milliseconds — long before any protective device has finished thinking about it.
2. Why it goes as i², and why that matters twice
Look again at the numerator: i1 · i2. In a fault
the same current flows in both conductors, so the force goes as the square of
the current. A 10 % error in the current is a 21 % error in the force. Double the fault
level and the force quadruples.
That squaring matters twice, and the second time is the one that catches people out: it applies
to the peak factor as well as to the current. Which is the next section, and the reason
this article exists.
3. The peak current — and why the RMS is not it
A fault does not start at a convenient point on the voltage waveform. Depending on when it
strikes, the current can be fully offset: instead of swinging symmetrically about zero it sits
on a decaying DC component, and the first loop reaches far higher than the steady
symmetrical value.
ip = κ · √2 · Ik
κ depends on the X/R ratio of the circuit and is bounded between 1 and 2 — 1 for a
purely resistive circuit, approaching 2 for a very inductive one, which is why the peak can reach
2√2 ≈ 2.83 times the RMS for a fully offset fault close to a transformer. Our
fault level calculator now reports it alongside
the RMS value, and the
fault level explainer
covers where the RMS figure itself comes from.
Here is the trap. The force goes as i², so using the RMS current
does not leave you out by κ√2 — it leaves you out by
(κ√2)². At a modest X/R of 6, κ is about 1.61 and the RMS
answer understates the force by 5.2 times. At X/R 15 it is closer to
7.5 times. A calculation that looks careful, uses the right formula, and is
wrong by most of an order of magnitude.
The same fault, two answers, a factor of 5.2 apart — and the smaller one is what almost every fault study hands you.
The worked case: an 800 kVA transformer at 5 % impedance, single-core cables in a
touching trefoil of 60 mm overall diameter, cleats at 600 mm centres. The RMS
symmetrical fault is 25.4 kA, giving 1,863 N/m — a number you could reasonably
look at and think manageable. The peak is 58.0 kA, giving 9,711 N/m,
and at 600 mm centres that is 5,826 N on every cleat. Call it
594 kgf: roughly a grand piano, on each fixing, for the duration of the first loop.
The 0.17 shortcut, and where it comes from
You will see the force written as 0.17 × î² / s, with the peak
current î in kA and the spacing s in metres. That is not a different formula — it
is the same one with the units folded in. Putting î in kA multiplies by 106, so
2×10−7 becomes 0.2; the √3/2 factor for the worst conductor of a
three-phase group turns 0.2 into 0.173. Worth knowing, but worth knowing why: the
coefficient already contains the three-phase assumption, so it is wrong for a two-conductor
fault, where the figure is 0.2.
4. Trefoil and flat
For a two-conductor fault — single-phase, or line-to-line — Ampère's law applies
directly and exactly. For a three-phase fault the three currents peak at different instants, so
the worst conductor does not see the naive two-conductor value: the standard result is
√3/2, about 0.87, of it.
Trefoil and flat share that worst-case magnitude. What differs is the direction, and
therefore what fails:
Same magnitude, different failure. Trefoil bursts outward; flat throws the middle conductor sideways. Spacing is centre to centre — on a touching trefoil that is the cable overall diameter.
Trefoil — the force is radial. It tries to burst the bundle
apart, so a cleat gripping all three cables together resists it head-on. This is the formation
in the test video below.
Flat — the outer conductors are thrown outward, and the middle
one is pushed alternately in both directions as the phases reverse. It is thrown
sideways rather than outward, which is a different problem for the fixing and for anything
mounted beside it.
Spacing is centre to centre. For a touching trefoil that distance is the cable's
overall diameter — sheath, bedding, insulation and all — not the conductor
size. A 300 mm² single-core sits further from its neighbours than a 95 mm²
one, so the dimension that sets your force is on the cable data sheet, not the schedule.
5. The two levers you actually have
You cannot change the fault current — that belongs to the supply, and reducing it is a
transformer decision, not a containment one. Two things are yours:
Two levers, and they do not behave the same way. Only the second — how often you fix the cable — is usually free to change on site.
Centre-to-centre spacing — inverse. Halve it and you double the
force; double it and you halve the force. But on a touching trefoil this lever is already at
its worst value, and separating single cores costs you ampacity through the grouping factors.
It is rarely free.
Cleat interval along the run — linear. The force per metre does
not change, but each cleat holds a shorter length of it. Halve the interval and each cleat
holds half as much. This is normally the lever that is free, which is why it is the
one that belongs on the drawing.
The distinction matters the moment someone asks for a relaxation on site.
“Can we go to 900 mm centres?” is a 50 % increase in the load on every
cleat, and is answerable straight from the calculation. “Can we push the cables apart a
bit?” changes the force, the grouping factor and possibly the cable size — and is
not.
6. Why a cable tie is not a cleat
This is the part that needs no calculation to make its point. The video below is a short-circuit
test on a trefoil of single-core cables: the cable ties break and the cleats
hold.
A short-circuit test on a trefoil of single-core cables: the cable ties break, the cleats hold. Hosted on YouTube and loaded only when you click it — nothing is requested from Google before then.
The engineering point underneath it is not that ties are weak. It is that a cable tie has a
static loop tensile strength and no declared short-circuit withstand at
all. Those are different quantities. You cannot compare a calculated force against a
number that does not exist, so a tie cannot satisfy Regulation 521.5.201 — not because it
fails the comparison, but because there is no comparison to make. It is also why “we have
always used ties on this size” is not evidence of anything.
7. What BS 7671 requires, and what it leaves out
Four places in BS 7671:2018+A4:2026 require this to be dealt with. Not one of them tells you how:
Where
What it requires
Method?
521.5.201 Electromechanical stresses
Every conductor shall have adequate strength and be so installed as to withstand the electromechanical forces of any current it may have to carry, including fault current.
No method.
434.5.3(a) Busbar trunking and powertrack
Icw not lower than the RMS prospective fault current, and the rated peak withstand current not lower than the prospective fault peak.
Names the comparison, not the peak.
Part 2 The symbol I<sub>pk</sub>
Defines Ipk as the rated peak withstand current — the quantity you are required to compare against.
No method.
Chapter 13 Conductor selection
Lists the electromechanical stresses due to short-circuit and earth fault currents as a selection factor, alongside temperature and volt drop.
No method.
Regulation 521.5.201 is worth reading twice for the phrase “and be so installed as
to”. The fixing is inside the requirement, not an installation detail bolted on after
the design is finished.
Four requirements, no method. The magnitude is Ampère's law; the cleat itself is BS EN 61914 and the manufacturer's tested data.
Regulation 434.5.3 is the sharpest of the four, because it asks for two
comparisons on a busbar trunking or powertrack system: the RMS prospective fault current against
the system's Icw, and the prospective peak against its rated peak withstand.
A system can pass the first and fail the second. An Icw of 30 kA against a
25 kA fault looks comfortable — until you work out that the same fault peaks at
57 kA and the declared peak withstand is 50. That is exactly what the two-part check exists
to catch, and it is why a single kA figure is never enough to specify a busbar system.
For the cleat itself, BS EN 61914 is the product standard: it is what a
manufacturer's declared short-circuit performance is declared against, and tested data
for the exact cleat, cable diameter, formation and spacing is the strongest evidence available.
What this page gives you is the other half — the force to compare it with, and some
confidence that it was calculated from the right current.
8. What to put on the drawing
A cleat spacing that cannot be audited is a cleat spacing that will be changed on site. The
minimum that makes it checkable:
The peak current, not just the RMS — and the X/R or κ you
assumed, because that is the assumption most likely to be wrong and the one nobody can
reconstruct later.
Formation and centre-to-centre spacing — as a dimension, with a
note that touching trefoil means the cable overall diameter.
The resulting force, per metre and per cleat — in newtons, so it
compares directly against a manufacturer's figure.
The cleat make, model and declared withstand — a cleat is only
as good as the test evidence behind it, and “heavy duty” is not a rating.
The interval, and whether it is staggered — staggering onto
alternate rungs doubles the effective interval for each cable, so it has to be in the
calculation rather than applied afterwards.
That last point is where the geometry starts to bite. A cleat is wider than its cable, so on a
fully loaded ladder the cleats on adjacent cables clash if they share a rung:
Plan view: each cleat is wider than its cable, so cleats on adjacent cables clash if fixed to the
same rung. Staggering onto alternate rungs gives every cable a cleat at S = 600 mm
while keeping cleats clear of each other — the geometry a proper calculator checks automatically.
Frequently asked questions
Is 300 mm cable cleat spacing always safe?
300 mm is a habit, not a design. It can be dangerously wide on a run near a large transformer and needlessly tight on a small final circuit. The spacing follows from the peak fault current at that point, the formation, the centre-to-centre spacing and the cleat's declared short-circuit withstand — four numbers, none of which is 300.
What force do cables exert on each other in a short circuit?
F/L = 2 x 10^-7 x i1 x i2 / s newtons per metre, with the currents in amperes and the spacing in metres. That is Ampere's force law and it needs no standard. For a three-phase group the worst conductor sees root-3/2 of it, which with the peak current in kA and the spacing in metres collapses to the familiar 0.17 x i-peak-squared / s.
Do I use the peak or the RMS fault current?
The peak. i-peak = kappa x root-2 x Ik, where kappa depends on the X/R ratio and lies between 1 and 2. Because force goes as current squared, the peak factor gets squared too: at X/R 6 the RMS answer understates the force by 5.2 times, and at a high X/R it approaches 8. This is the single most common error in the subject.
Where does BS 7671 tell me how to calculate this?
It does not. Regulation 521.5.201 requires every conductor to withstand the electromechanical forces of a fault, Regulation 434.5.3 requires a busbar trunking system to withstand the prospective peak, Part 2 defines Ipk, and Chapter 13 lists the stresses as a selection factor. Four requirements, and not one method between them. The magnitude comes from first principles; the cleat comes from BS EN 61914 and the manufacturer's test data.
Does trefoil or flat formation give higher forces?
Both peak at the same magnitude for the worst conductor, root-3/2 of the two-conductor value. They fail differently. Trefoil is radial, so the force tries to burst the bundle apart and a cleat gripping all three resists it directly. In flat formation the middle conductor is pushed alternately both ways as the phases reverse, so it is thrown sideways rather than outward.
Why does the cable diameter matter more than the conductor size?
Because spacing is measured centre to centre, and for a touching trefoil that distance IS the cable overall diameter. A larger conductor in a thicker sheath sits further from its neighbours and sees a lower force per metre — so the dimension that sets the force is the one on the cable data sheet, not the one on the schedule.
Can I use a manufacturer's tested cleat instead of calculating?
Tested data for the exact cleat, cable diameter, formation and spacing is the strongest evidence there is, and BS EN 61914 is the product standard that performance is declared against. The calculation on this page gives you the force to compare with it. Where your real configuration does not match a tested one, the calculated force against the declared withstand is the route — documented with its inputs, because a checker cannot audit an assumption you did not write down.
Are cable ties ever acceptable for single-core cables?
Not as the restraint against fault forces. A cable tie has a static loop tensile strength and no declared short-circuit withstand at all, so there is nothing to compare your calculated force against. That is not a marginal call — it is the absence of the evidence the regulation requires. Ties are fine for bundling cable that is already properly restrained.
Why stagger cleats onto alternate rungs?
A cleat is wider than its cable, so on a fully loaded ladder the cleats on adjacent cables would collide if fixed to the same rung. Staggering onto alternate rungs gives every cable its cleat while keeping them clear — but note that it doubles the effective interval for each cable, so it belongs in the calculation rather than being applied afterwards on site.
Verify before you rely on it. The force law is Ampère's and needs no standard.
Everything past the magnitude does: conductor stiffness, the dynamic response of the span and the
natural frequency of the cable between fixings are what IEC 60865 and the cleat maker's tested
data cover. The κ expression used here is attributed to IEC 60909 and its coefficients have
not been transcribed from it — what is defensible without it is the shape, that κ
lies between 1 and 2. Treat the output as a first-pass magnitude, not a cleat selection.
Specifying containment on a high-fault-level project? We can produce or check the cleat
spacing calculations, with the peak current and the assumptions written down —
get in touch.
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