Luotirata

Concept

Sectional density

Mass divided by frontal area — the part of the ballistic coefficient that comes from the bullet's proportions rather than its shape.

Sectional density (SD) is a bullet’s mass divided by the square of its diameter:

SD = m / d²

Conventionally it is quoted in pounds per square inch, with mass in pounds and diameter in inches, which produces the familiar dimensionless-looking numbers between roughly 0.1 and 0.35. It is not dimensionless; the unit is just usually left off.

Some examples:

BulletMassDiameterSD
55 gr .2243.56 g5.69 mm0.157
62 gr .2244.02 g5.69 mm0.177
77 gr .2244.99 g5.69 mm0.219
150 gr .3089.72 g7.82 mm0.226
175 gr .30811.34 g7.82 mm0.264
220 gr .30814.26 g7.82 mm0.331

Why it matters

Drag acts on the bullet’s frontal area. Inertia acts on its mass. Sectional density is the ratio of the second to the first, so it is a direct measure of how well the bullet’s own momentum resists being scrubbed off by the air.

That makes it half of the ballistic coefficient. Recall BC = SD / i: sectional density supplies the mass-to-area part, and the form factor i supplies the shape part. Two bullets with identical SD but different noses will have different BCs; two bullets with identical shape but different SD will have BCs in the same ratio as their SDs.

The practical consequence is the one every reloader learns: within a caliber, heavier is flatter downrange — not at the muzzle, where the heavy bullet starts slower, but past a few hundred metres, where it has given up less of what it started with. A 175 gr .308 leaves the barrel around 60 m/s slower than a 150 gr, and passes it in retained velocity somewhere around 500–600 m.

Where the limits are

Sectional density is bounded by physics and by the rifle:

  • Making a bullet heavier at constant diameter means making it longer, and longer bullets need faster rifling to stabilise. This is the link to twist rate; it is why a 1:12” .223 barrel cannot shoot 77 gr bullets and a 1:7” one can.
  • A longer bullet also takes up more case volume at a given overall length, which reduces the powder space and therefore the muzzle velocity available to it.
  • Very high SD in a small caliber requires either extreme length or a denser core material than lead.

So SD is not something to maximise blindly. It is one of three things you are trading — sectional density, muzzle velocity and twist-rate compatibility — and the best load for a given rifle and distance is a compromise between them.

A note on terminal effects

Sectional density is often quoted in hunting contexts as a proxy for penetration, and there is real physics behind that: the same mass-per-area ratio that resists air resists tissue. But penetration depends at least as much on construction — whether the bullet expands, fragments, or holds together — as on SD. This site covers external ballistics; treat SD here as an aerodynamic quantity, and take terminal-performance claims from sources that actually test them.

Try it in the calculator