# Bolt thrust

Bolt thrust or breech pressure is a term used in internal ballistics and firearms (whether small arms or artillery) that describes the amount of rearward force exerted by the propellant gases on the bolt or breech of a firearm action or breech when a projectile is fired. The applied force has both magnitude and direction, making it a vector quantity.
Bolt thrust is an important factor in weapons design. The greater the bolt thrust, the stronger the locking mechanism has to be to withstand it. Assuming equal engineering solutions and material, adding strength to a locking mechanism causes an increase in weight and size of locking mechanism components.
Bolt thrust is not a measure to determine the amount of recoil or free recoil.

## Calculating bolt thrust

With a basic calculation the bolt thrust produced by a particular firearms cartridge can be calculated fairly accurately.

### Formula

    ${\vec {F}}_{bolt}=P_{max}\cdot A_{internal}.$
where:
* F$_{bolt}$ = the amount of bolt thrust
* P$_{max}$ = the maximum (peak) chamber pressure of the firearms cartridge
* A$_{internal}$ = the inside area (of the cartridge case head) that the propellant deflagration gas pressure acts against
Cartridge case heads and chambers are generally circular. The area enclosed by a circle is:
    $Area=\pi r^{2}\approx 3{.}1416\cdot r^{2}.$
where:
* π ≈ 3.1416
* r = the radius of the circle
Equivalently, denoting the diameter of the circle by d.
    $Area={\frac {\pi d^{2}}{4}}\approx 0{.}7854\cdot d^{2}.$
A practical problem regarding this method is that the internal case head diameter of a particular production lot of cartridge cases (different brands and lots normally differ dimensionally) can not be easily measured without damaging them.

### Friction effects

A complicating matter regarding bolt thrust is that a cartridge case expands and deforms under high pressure and starts to "stick" to the chamber. This "friction-effect" can be accounted for with finite elements calculations on a computer, but it is a lot of specialized work and generally not worth the trouble.
By oiling proof rounds during NATO EPVAT testing procedures, NATO test centers intentionally lower case friction to promote high bolt thrust levels.

## Practical method to estimate bolt thrust

Instead of using the internal case head diameter, the external case head base diameter can also be measured with a caliper or micrometer or taken from the appropriate C.I.P. or SAAMI cartridge or chamber data tables and used for bolt thrust estimation calculations.
The basic calculation method is almost the same, but now the larger outside area of the cartridge case head is used instead of the smaller inside area.
    ${\vec {F_{bolt}}}=P_{max}\cdot A_{external}.$
where:
* F$_{bolt}$ = the amount of bolt thrust
* P$_{max}$ = the maximum (peak) chamber pressure of the firearms cartridge
* A$_{external}$ = the outside area of the cartridge case head
This method is fine for getting a good estimate regarding bolt thrust and assumes an overly large area that the gas pressure acts against yielding pessimistic estimations, generating a safety margin in the process for worse case scenarios which can result in increased maximum (peak) chamber pressure of the firearms cartridge, like a round that is chambered in an already very warm chamber that can result in cooking off (i.e. a thermally induced unintended firing).

### Bolt thrust estimations for various pistol/revolver cartridges

| Chambering | P1 diameter (mm) | A$_{external}$ (cm$^2$) | P$_{max}$ (bar) | F$_{bolt}$ (kgf) | F$_{bolt}$ |
| .22 Long Rifle | 5.74 | 0.2587 | 1,650 | 427 | 4,268 N (959 lb$_f$) |
| FN 5.7×28 mm | 7.95 | 0.4964 | 3,450 | 1,713 | 16,794 N (3,775 lb$_f$) |
| 9×19 mm Parabellum | 9.93 | 0.7744 | 2,350 | 1,820 | 17,847 N (4,012 lb$_f$) |
| HK 4.6×30 mm | 8.02 | 0.5051 | 4,000 | 2,021 | 19,816 N (4,455 lb$_f$) |
| .357 Magnum | 9.63 | 0.7284 | 3,000 | 2,185 | 21,428 N (4,817 lb$_f$) |
| .357 SIG | 10.77 | 0.9110 | 3,050 | 2,779 | 27,248 N (6,126 lb$_f$) |
| .380 ACP | 9.70 | 0.7390 | 1,500 | 1,130 | 11,085 N (2,492 lb$_f$) |
| .40 S&W | 10.77 | 0.9110 | 2,250 | 2,050 | 20,101 N (4,519 lb$_f$) |
| 10 mm Auto | 10.81 | 0.9178 | 2,300 | 2,111 | 20,701 N (4,654 lb$_f$) |
| .41 Remington Magnum | 11.05 | 0.9590 | 3,000 | 2,877 | 28,213 N (6,343 lb$_f$) |
| .44 Remington Magnum | 11.61 | 1.0587 | 2,800 | 2,964 | 29,069 N (6,535 lb$_f$) |
| .45 ACP | 12.09 | 1.1671 | 1,300 | 1,517 | 14,879 N (3,345 lb$_f$) |
| .454 Casull | 12.13 | 1.1556 | 3,900 | 4,507 | 44,197 N (9,936 lb$_f$) |
| .500 S&W Magnum | 13.46 | 1.4229 | 4,270 | 6,076 | 59,584 N (13,395 lb$_f$) |
The P1 (cartridge case base) diameters and P$_{max}$ used in the calculations were taken from the appropriate C.I.P. data sheets.

### Bolt thrust estimations for various rifle cartridges

| Chambering | P1 diameter (mm) | A$_{external}$ (cm$^2$) | P$_{max}$ (bar) | F$_{bolt}$ (kgf) | F$_{bolt}$ |
| 5.45×39mm | 10.00 | 0.7854 | 3,800 | 2,985 | 29,268 N (6,580 lb$_f$) |
| .223 Remington | 9.58 | 0.7208 | 4,300 | 3,099 | 30,396 N (6,833 lb$_f$) |
| 7.62×39mm | 11.35 | 1.0118 | 3,550 | 3,592 | 35,223 N (7,918 lb$_f$) |
| .303 British | 11.68 | 1.0715 | 3,650 | 3,911 | 38,352 N (8,622 lb$_f$) |
| 7.92×57mm Mauser | 11.97 | 1.1197 | 3,900 | 4,367 | 42,824 N (9,627 lb$_f$) |
| 7.65×53mm Mauser / 7×57mm | 12.01 | 1.1329 | 3,900 | 4,418 | 43,327 N (9,740 lb$_f$) |
| 6.5×55mm | 12.20 | 1.1690 | 3,800 | 4,442 | 43,563 N (9,793 lb$_f$) |
| .30-06 Springfield / .308 Winchester | 11.96 | 1.1234 | 4,150 | 4,662 | 45,722 N (10,279 lb$_f$) |
| 7.62×54mmR | 12.37 | 1.2018 | 3,900 | 4,687 | 45,964 N (10,333 lb$_f$) |
| 8mm Lebel | 13.77 | 1.4892 | 3,200 | 4,765 | 46,734 N (10,506 lb$_f$) |
| 7.5×55mm Swiss GP 11 | 12.64 | 1.2548 | 3,800 | 4,768 | 46,761 N (10,512 lb$_f$) |
| .375 Holland & Holland Magnum / .300 Winchester Magnum | 13.03 | 1.3335 | 4,300 | 5,734 | 56,230 N (12,640 lb$_f$) |
| 6.5×68mm / 8×68mm S | 13.30 | 1.3893 | 4,400 | 6,113 | 59,947 N (13,477 lb$_f$) |
| .375 Ruger / .416 Ruger | 13.52 | 1.4356 | 4,300 | 6,173 | 60,539 N (13,610 lb$_f$) |
| .277 FURY (SAAMI specifications) | 11.95 | 1.1216 | 5,516 | 6,187 | 60,670 N (13,640 lb$_f$) |
| .300 Remington Ultra Magnum | 13.97 | 1.5328 | 4,400 | 6,744 | 66,139 N (14,869 lb$_f$) |
| .300 Winchester Short Magnum | 14.12 | 1.5659 | 4,400 | 6,890 | 67,567 N (15,190 lb$_f$) |
| .338 Lapua Magnum | 14.91 | 1.7460 | 4,200 | 7,333 | 71,914 N (16,167 lb$_f$) |
| .300 Norma Magnum / .338 Norma Magnum | 14.87 | 1.7366 | 4,400 | 7,641 | 74,935 N (16,846 lb$_f$) |
| .300 Lapua Magnum / 7.62 UKM | 14.91 | 1.7460 | 4,400 | 7,807 | 76,556 N (17,210 lb$_f$) |
| .375 CheyTac / .408 CheyTac | 16.18 | 2.0561 | 4,400 | 8,224 | 80,654 N (18,132 lb$_f$) |
| .50 BMG | 20.42 | 3.2749 | 3,700 | 12,117 | 118,829 N (26,714 lb$_f$) |
| 14.5×114mm | 26.95 | 5.7044 | 3,600 | 20,536 | 201,387 N (45,274 lb$_f$) |
The P1 (cartridge case base) diameters and P$_{max}$ used in the calculations were taken from the appropriate C.I.P. data sheets.