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Spanner and socket sizes

Metric and imperial spanner sizes across the flats, with the nearest size in the other system and whether it can safely be used.

Four pairs are interchangeable. Several will destroy a bolt.

Spanner sizes are measured across the flats, so comparing systems is just arithmetic — and the arithmetic decides whether reaching for the wrong drawer is fine or expensive.

These are close enough to swap:

ImperialMetricDifference
1-1/16″ (26.99 mm)27 mm0.01 mm
3/4″ (19.05 mm)19 mm0.05 mm
5/16″ (7.94 mm)8 mm0.06 mm
7/16″ (11.11 mm)11 mm0.11 mm
5/8″ (15.88 mm)16 mm0.13 mm

These are not:

ImperialNearest metricDifferenceWhat happens
9/16″ (14.29 mm)14 mm0.29 mmImperial socket will not fit the metric head
1/2″ (12.70 mm)13 mm0.30 mmMetric socket rounds the imperial head
1/4″ (6.35 mm)6 mm0.35 mmImperial socket will not fit the metric head
13/16″ (20.64 mm)21 mm0.36 mmMetric socket rounds the imperial head
11/16″ (17.46 mm)17 mm0.46 mmImperial socket will not fit the metric head
3/8″ (9.52 mm)10 mm0.48 mmMetric socket rounds the imperial head
1″ (25.40 mm)24 mm1.40 mmImperial socket will not fit the metric head
1-1/8″ (28.57 mm)30 mm1.43 mmMetric socket rounds the imperial head

Which way the damage runs

The failure is asymmetric and worth getting straight. A spanner larger than the head is the dangerous one: it sits on the corners rather than the flats, and under load the corners deform. Once a head is rounded it needs an extractor or a cutting disc.

A spanner smaller than the head simply does not go on. That is the harmless failure — annoying, and it tells you immediately that you have the wrong tool, which the dangerous one does not.

The classic case is 13 mm on a 1/2 inch bolt. The head is 12.70 mm and the socket is 13, so it goes on, feels almost right, and rounds the fastener on the first hard pull.

Metric sizes

SizeInchesNearest imperialGapFits
5.5 mm0.221/4″0.85 mmM3
6 mm0.241/4″0.35 mm—
7 mm0.281/4″0.65 mmM4
8 mm0.315/16″0.06 mmM5
9 mm0.353/8″0.52 mm—
10 mm0.393/8″0.48 mmM6
11 mm0.437/16″0.11 mm—
12 mm0.471/2″0.70 mm—
13 mm0.511/2″0.30 mmM8
14 mm0.559/16″0.29 mm—
15 mm0.599/16″0.71 mm—
16 mm0.635/8″0.13 mmM10 (ISO 4017)
17 mm0.6711/16″0.46 mmM10 (DIN 933)
18 mm0.7111/16″0.54 mmM12 (ISO)
19 mm0.753/4″0.05 mmM12 (DIN)
21 mm0.8313/16″0.36 mmM14 (ISO)
22 mm0.877/8″0.22 mmM14 (DIN)
24 mm0.9415/16″0.19 mmM16
27 mm1.061-1/16″0.01 mm—
30 mm1.181-1/8″1.43 mmM20
32 mm1.261-1/8″3.43 mm—
36 mm1.421-1/8″7.43 mmM24

Imperial sizes

SizeMillimetresNearest metricGap
1/4″6.356 mm0.35 mm
5/16″7.948 mm0.06 mm
3/8″9.5210 mm0.48 mm
7/16″11.1111 mm0.11 mm
1/2″12.7013 mm0.30 mm
9/16″14.2914 mm0.29 mm
5/8″15.8816 mm0.13 mm
11/16″17.4617 mm0.46 mm
3/4″19.0519 mm0.05 mm
13/16″20.6421 mm0.36 mm
7/8″22.2222 mm0.22 mm
15/16″23.8124 mm0.19 mm
1″25.4024 mm1.40 mm
1-1/16″26.9927 mm0.01 mm
1-1/8″28.5730 mm1.43 mm

Six points grip the flats. Twelve points sit on the corners.

The same nominal size behaves differently depending on the tool. A six-point socket contacts the six flat faces of the head; a twelve-point contacts near the corners, which is where a hex head is weakest. Twelve points exist because they engage at every 30° instead of every 60°, which matters in a tight space and costs grip everywhere else.

That interacts directly with the gaps in the tables above. A near-miss pairing that a six-point tolerates will round the fastener in a twelve-point, because the small amount of slop lands on the corners rather than being spread across the faces. If a bolt is tight, rusted or has already been rounded once, six points is not a preference.

Whitworth is not measured the way the others are

Metric and AF sizes both name the distance across the flats: a 13 mm spanner fits a head measuring 13 mm across. Whitworth names the diameter of the bolt's shank instead, so a "¼ Whitworth" spanner fits a bolt with a quarter-inch shank, and the head it fits is about 0.45 inches across — nearly twice the number on the tool.

This is why a Whitworth set looks wrong next to an AF one and why a British motorcycle or tractor from before the 1970s defeats a modern socket set. British Standard Fine uses the same across-flats sizes as Whitworth for a given shank but a finer thread, and later Whitworth heads were reduced by one size, so two spanners marked the same fit different bolts depending on when they were made. Measure the head rather than trusting the marking.

When you only have the wrong system

Use the table above and take the pair with the smallest gap, then reach for a six-point ring spanner or socket rather than an open-ended one — an open jaw spreads under load and turns a small gap into a rounded head. Failing that, an adjustable wrench tightened hard onto the flats is safer than a loose socket, which is the opposite of most people's instinct.

If the fastener matters and the gap is above about a tenth of a millimetre, it is worth stopping. The cost of the right spanner is always less than the cost of extracting a rounded bolt.

Metric threads — the tapping drill and clearance hole for the bolts these turn. Unit converters