Benchmarks
Four published rounds, plus the models underneath.
Before you pay, this is the proof that the calculator is not a free-floating spreadsheet. Each round gets two tables. The envelope table is the published article the example is built from, so it should agree exactly — it only shows that the geometry solve reads the article correctly. The performance table is the one that matters: a number the workbench computes against a number somebody else published — a range firing where one exists, Kingery–Bulmash airblast where the check is the blast model, and a doctrinal radius where a manual states an area of effect. Fragmentation on the 155 mm example is Mott–Linfoot on the AMCP scale versus the Åkesson arena, not metal divided by a pasted count. Every row is SI and imperial, and rows that miss stay on the page with the reason. The workbench Examples tab runs the same check live. These are class examples you calibrate against, not fielded-system reproductions, and not a certified effectiveness product.
Every number on this page — envelope and performance alike — comes from published open literature: textbooks, public technical notes, open catalogues, and peer-reviewed papers, each named under its round and listed on Sources. Fragment rows are steel witness plates and instrumented arena recovery. Blast rows are Kinney–Graham against Kingery–Bulmash / Swisdak at the published TNT-equivalent mass. Area-of-effect rows for the M67 are FM 23-30 casualty and fragment-reach figures against fly-out RED 10% PI and maximum fragment ground range. Nothing here is vulnerability data for a real target, a real platform, or a real installation, and no such data is published on this site.
Artillery shell
155 mm HE M107
Charge and unfuzed length from TM 43-0001-28 / Bulletpicker. Body diameter, body length, and projectile mass from the open M107 envelope. Arena fragment count and recovered casing mass from Åkesson / Dullum, compared to Mott–Linfoot on the AMCP scale.
Closed HE shell, tangent ogive CRH 2.5. Homogeneous case. Catalogue class example, not a fielded-system reproduction.
Published envelope — inputs
| Quantity | Published | Workbench | Δ |
|---|---|---|---|
| Charge mass | 6.623 kg · 14.60 lb | 6.623 kg · 14.60 lb | 0.0% |
| Projectile mass | 43.2 kg · 95.2 lb | 43.2 kg · 95.2 lb | 0.0% |
| Casing metal | 36.58 kg · 80.6 lb | 36.58 kg · 80.6 lb | 0.0% |
| Outer diameter | 154.71 mm · 6.091 in | 154.71 mm · 6.091 in | 0.0% |
| Body length | 605.3 mm · 23.83 in | 605.3 mm · 23.83 in | 0.0% |
Performance — workbench vs published
| Quantity | Published | Workbench | Δ |
|---|---|---|---|
| Infinite-cylinder fragment V0 | 1030 m/s · 3379 ft/s | 994 m/s · 3261 ft/s | −3.5% |
| Mott N₀ vs arena fragment count | 2538 | 2233 | −12.0% |
| Mott mean fragment mass | 14.34 g · 0.506 oz | 16.38 g · 0.578 oz | +14.2% |
| Incident overpressure at 15 m (free air) | 15.1 kPa · 2.19 psi | 13.6 kPa · 1.98 psi | −9.8% |
| Range to 5 psi incident (eardrum) | 8.9 m · 29.1 ft | 8.6 m · 28.2 ft | −3.2% |
| Range to 0.9 psi incident (glass) | 30.4 m · 99.6 ft | 27.6 m · 90.6 ft | −9.1% |
Infinite-cylinder fragment V0 — Krauthammer, Modern Protective Structures, gives 1030 m/s for the M107 initial fragment velocity. ARL's FragProp benchmark work reports a peak fragment impact velocity of 3380 ft/s at 8 ft from an M107 detonation, which is the same number from an independent model and test series.
Mott N₀ vs arena fragment count — Åkesson / Dullum arena recovery: 2538 fragments. The workbench column is Mott–Linfoot N₀ from the AMCP / Cooper scale (M_A = B t^{5/6} d_i^{1/3}(1+t/d_i), μ = M_A²) on the ogive wall fitted to published casing metal, with the mild-steel TNT constant B = 0.0779. Not a recovered count pasted in.
Mott mean fragment mass — Åkesson / Dullum arena recovery: 36.4 kg of casing came back as 2538 fragments (mean 14.34 g). The workbench column is Mott mean mass 2μ from the same AMCP scale and fitted ogive wall. Model versus firing, not metal divided by a pasted N.
Incident overpressure at 15 m (free air) — Kingery–Bulmash free-air incident overpressure (Jeon, Kim & Han 2017 fit to ARBRL-TR-02555) at 15 m on the published 6.623 kg TNT. The workbench column is Kinney–Graham at the same W and R — two airblast models, not a firing.
Range to 5 psi incident (eardrum) — Distance at which incident overpressure falls to 5 psi, the Soft Effects eardrum threshold. Published column is Kingery–Bulmash inverted at the published TNT mass; workbench is Kinney–Graham inverted at the same W.
Range to 0.9 psi incident (glass) — Same inversion at 0.9 psi, the open glass-breakage threshold. Blast area of effect on the fill, not a fragment radius.
Mortar bomb
120 mm HE mortar
Projectile mass 12.6 kg and TNT fill 2.25 kg from Zecevic et al. Caliber 120 mm. Body length 613 mm (24.13 in) is the published M62P3 length with fuze.
Closed HE mortar, tangent ogive CRH 2.0. Catalogue class example, not a fielded-system reproduction.
Published envelope — inputs
| Quantity | Published | Workbench | Δ |
|---|---|---|---|
| Charge mass | 2.25 kg · 4.96 lb | 2.25 kg · 4.96 lb | 0.0% |
| Projectile mass | 12.6 kg · 27.8 lb | 12.6 kg · 27.8 lb | 0.0% |
| Casing metal | 10.35 kg · 22.8 lb | 10.35 kg · 22.8 lb | 0.0% |
| Outer diameter | 120 mm · 4.72 in | 120 mm · 4.72 in | 0.0% |
| Body length | 613 mm · 24.13 in | 613 mm · 24.13 in | 0.0% |
Performance — workbench vs published
| Quantity | Published | Workbench | Δ |
|---|---|---|---|
| Initial fragment velocity | 1100 m/s · 3609 ft/s | 1081 m/s · 3545 ft/s | −1.8% |
| 6.2 g fragment speed at 20 m | 850 m/s · 2789 ft/s | 856 m/s · 2808 ft/s | +0.7% |
| 6.2 g fragment speed at 40 m | 650 m/s · 2133 ft/s | 656 m/s · 2151 ft/s | +0.9% |
| Incident overpressure at 10 m (free air) | 16.1 kPa · 2.34 psi | 14.6 kPa · 2.11 psi | −9.6% |
| Range to 5 psi incident (eardrum) | 6.2 m · 20.3 ft | 6.0 m · 19.7 ft | −3.2% |
| Range to 0.9 psi incident (glass) | 21.2 m · 69.5 ft | 19.3 m · 63.2 ft | −9.1% |
Initial fragment velocity — Elshenawy, Aboel Seoud and Abdo (Defence Science Journal) fired a 120 mm mortar body statically against a layered witness stack and matched it with Split-X and Autodyn-3D. The largest kinetic-energy fragment came off at 6.2 g and 1100 m/s.
6.2 g fragment speed at 20 m — The same paper publishes a velocity–distance history for that fragment. The workbench flies an identical 6.2 g fragment from an identical 1100 m/s as a scored chunk (the compact Split-X fragment, not a Mott bacon strip), so nothing but the compact-fragment drag law is under test.
6.2 g fragment speed at 40 m — Same history at 40 m. A tumbling natural fragment (Cd 1.15, bacon-strip area) bleeds speed faster than this compact fragment; the probe uses the scored-chunk drag that matches Split-X.
Incident overpressure at 10 m (free air) — Kingery–Bulmash free-air incident overpressure at 10 m on the published 2.25 kg TNT. Workbench is Kinney–Graham at the same W and R.
Range to 5 psi incident (eardrum) — Distance at which incident overpressure falls to 5 psi. Kingery–Bulmash vs Kinney–Graham, same TNT mass.
Range to 0.9 psi incident (glass) — Same inversion at 0.9 psi. Blast area of effect on the mortar fill, not a fragment radius.
Low-drag GP bomb
500 lb Mk 82 GP bomb
Bomb-body length 66.15 in, diameter 10.75 in, Tritonal fill 192 lb, and 500 lb all-up from the FAS / Air Force Armament Museum Mk 82 envelope (body, not the MAU-93/B tail kit).
Closed GP bomb, tangent ogive CRH 1.5. Catalogue class example, not a fielded-system reproduction.
Published envelope — inputs
| Quantity | Published | Workbench | Δ |
|---|---|---|---|
| Charge mass | 87.09 kg · 192.0 lb | 87.09 kg · 192.0 lb | 0.0% |
| All-up mass | 226.80 kg · 500.0 lb | 226.80 kg · 500.0 lb | 0.0% |
| Casing metal | 139.71 kg · 308.0 lb | 139.71 kg · 308.0 lb | 0.0% |
| Outer diameter | 273.05 mm · 10.75 in | 273.05 mm · 10.75 in | 0.0% |
| Body length | 1680.2 mm · 66.15 in | 1680.2 mm · 66.15 in | 0.0% |
Performance — workbench vs published
| Quantity | Published | Workbench | Δ |
|---|---|---|---|
| Mild steel perforated at 7 m | 25.0 mm · 0.98 in – 51.0 mm · 2.01 in | 17.4 mm · 0.68 in | inside |
| Sector holding ~90% of fragments | 30° | 24° | −20.0% |
| Incident overpressure at 30 m (free air) | 19.9 kPa · 2.89 psi | 18.1 kPa · 2.63 psi | −8.9% |
| Range to 5 psi incident (eardrum) | 21.4 m · 70.3 ft | 20.7 m · 68.1 ft | −3.2% |
| Range to 0.9 psi incident (glass) | 73.3 m · 241 ft | 66.7 m · 219 ft | −9.1% |
Mild steel perforated at 7 m — The Swedish MSB / Fortifikationsverket witness-plate trial detonated four Mk 82 bombs (218 kg, 87 kg Tritonal) inside a half circle of 1200 × 1200 mm witness plates at 7 m. The 25 mm plates took 210 recorded hits and 118 perforations; the 51 mm plates took 183 hits and 3. That bracket is the arriving-hit population. The workbench column is THOR for the Mott mean fragment (~9 g), the numerous small-fragment class, which sits at or below the 25 mm plate. It is not a pasted inventory of 4000 equal fragments.
Sector holding ~90% of fragments — In the same trial the bomb was laid horizontally for one shot and 90% of hits fell in a 30° sector — 10° forward and 20° aft of the case normal. The workbench spray half-angle of 12° gives a 24° full sector, tighter than measured because it is symmetric about the Taylor-shifted normal rather than skewed aft.
Incident overpressure at 30 m (free air) — Kingery–Bulmash free-air incident overpressure at 30 m on the published Tritonal fill × 1.07 TNT factor (93.2 kg TNT-eq). Workbench is Kinney–Graham at the same W and R.
Range to 5 psi incident (eardrum) — Distance at which incident overpressure falls to 5 psi. Kingery–Bulmash vs Kinney–Graham on the Mk 82 TNT-equivalent mass. Blast area of effect; fragments still dominate at this caliber.
Range to 0.9 psi incident (glass) — Same inversion at 0.9 psi, the open glass-breakage threshold.
Fragmentation grenade
63.5 mm M67 grenade
FM 23-30 / GlobalSecurity: 2.5 in steel sphere, 6.5 oz Comp B, 14 oz all-up. ERDC residuals: 184.3 g Comp B and 7.5 oz metals/other. Nammo: 63.5 mm diameter; 89.6 mm length includes the fuze, so body length here is the sphere.
Closed steel sphere, Composition B, inner-scored / preformed coil modeled as 1000 equal-mass steel spheres. Catalogue class example, not a fielded-system reproduction. No open arena V0 is published.
Published envelope — inputs
| Quantity | Published | Workbench | Δ |
|---|---|---|---|
| Charge mass | 0.1843 kg · 0.406 lb | 0.1843 kg · 0.406 lb | 0.0% |
| All-up mass | 0.3969 kg · 0.875 lb | 0.3969 kg · 0.875 lb | 0.0% |
| Casing metal | 0.2126 kg · 0.469 lb | 0.2126 kg · 0.469 lb | 0.0% |
| Outer diameter | 63.5 mm · 2.500 in | 63.5 mm · 2.500 in | 0.0% |
| Body length (sphere) | 63.5 mm · 2.500 in | 63.5 mm · 2.500 in | 0.0% |
Performance — workbench vs published
| Quantity | Published | Workbench | Δ |
|---|---|---|---|
| Spherical Gurney V0 | 2040 m/s · 6693 ft/s | 2039 m/s · 6689 ft/s | −0.1% |
| Incident overpressure at 5 m (free air) | 14.4 kPa · 2.09 psi | 13.0 kPa · 1.88 psi | −9.9% |
| Range to 5 psi incident (eardrum) | 2.9 m · 9.4 ft | 2.8 m · 9.1 ft | −3.2% |
| RED 10% PI vs FM 23-30 casualty radius | 15.0 m · 49.2 ft | 14.6 m · 47.8 ft | −2.9% |
| Max fragment ground range vs published reach | 230 m · 755 ft | 305 m · 1000 ft | +32.4% |
Spherical Gurney V0 — Open literature does not publish an M67 arena V0. This row is the closed-sphere Gurney identity (BRL-405) on the published C and M — a physics check, not a measured firing.
Incident overpressure at 5 m (free air) — Kingery–Bulmash free-air incident overpressure at the FM 23-30 killing radius (5 m) on 184.3 g Comp B × 1.2 TNT factor. Workbench is Kinney–Graham. Blast is not the kill mechanism at this fill; the row checks the airblast path on a small W.
Range to 5 psi incident (eardrum) — Kinney–Graham vs Kingery–Bulmash distance to 5 psi incident on the M67 TNT-equivalent mass. Much smaller than the fragment casualty radius, which is the point.
RED 10% PI vs FM 23-30 casualty radius — FM 23-30: effective casualty-producing radius 15 m from fragments. The workbench column is RED 10% PI from fragments that are still ≥79 J when they pass range R, over the isotropic 4πR² spray (Åkesson, 0.50 m² standing soldier). Same idea, not the same definition.
Max fragment ground range vs published reach — FM 23-30 warning: fragments can disperse as far as 230 m. The workbench column is the furthest ground impact from the same fly-out (any KE). That is the doctrinal “can travel” figure, not a miss on Mott — the example is 1000 preformed spheres. Workbench MSD remains the furthest 79 J strike — a shorter, hazardous-fragment distance, not this row.
Methods
Airblast and penetration identities
Not a round. Kinney–Graham vs Kingery–Bulmash at three scaled distances, the 1.8 W surface-burst switch vs Swisdak, Forrestal 1994 grout shot 6-2374, and the Birkhoff / EFP density-ratio forms used on the EFP/SC tab.
These rows check the models the workbench actually runs. They are not a substitute for a firing, and they are not a certified JMEM product.
Performance — workbench vs published
| Quantity | Published | Workbench | Δ |
|---|---|---|---|
| Free-air Ps at Z = 1 m/kg⅓ | 937 kPa · 136 psi | 1009 kPa · 146 psi | +7.6% |
| Free-air Ps at Z = 2 m/kg⅓ | 194 kPa · 28.2 psi | 208 kPa · 30.2 psi | +7.0% |
| Free-air Ps at Z = 5 m/kg⅓ | 31.3 kPa · 4.54 psi | 29.2 kPa · 4.24 psi | −6.6% |
| Surface-burst Ps at Z = 1 m/kg⅓ | 1354 kPa · 196 psi | 1528 kPa · 222 psi | +12.8% |
| Forrestal 1994 grout shot 6-2374 | 127.0 mm · 5.00 in | 130.0 mm · 5.12 in | +2.3% |
| Shaped-charge jet at optimum standoff | 6.00 CD (4–8 band) | 6.39 CD | +6.5% |
| EFP slug density-ratio form | 0.85 CD (0.5–1.2 band) | 0.85 CD | +0.2% |
Free-air Ps at Z = 1 m/kg⅓ — Jeon, Kim & Han, Computation 2017 — modified Kingery–Bulmash free-air incident overpressure vs Kinney–Graham at scaled distance 1. Model-vs-model, not a firing.
Free-air Ps at Z = 2 m/kg⅓ — Same comparison at Z = 2, mid-field where both fits are well constrained.
Free-air Ps at Z = 5 m/kg⅓ — Same comparison at Z = 5. Kinney and Kingery–Bulmash typically sit within about ten percent here.
Surface-burst Ps at Z = 1 m/kg⅓ — Swisdak 1994 hemispherical surface-burst polynomials at Z = 1 vs Kinney with the 1.8 W hemispherical factor. Tests the ground-burst switch, not the free-air fit.
Forrestal 1994 grout shot 6-2374 — Forrestal, Altman, Cargile and Hanchak, Int. J. Impact Eng. (1994): 12.7 mm CRH 3 ogive, 64.2 g, 371 m/s into 13.5 MPa grout, measured depth 127 mm. The Projectile tab uses this equation.
Shaped-charge jet at optimum standoff — Birkhoff continuous-jet idealisation: κ = 6 CD copper into steel at Z/D = Z_opt. Open liner literature puts useful jet depth in roughly 4–8 charge diameters at optimum standoff. First-order estimate, not a hydrocode.
EFP slug density-ratio form — Open EFP slug depth P/D = (L/D)·√(ρ_liner/ρ_target) for an 0.8 CD copper slug into steel. Published well-formed EFPs typically sit between about 0.5 and 1.2 CD in RHA-class steel.
Compared only where a published number exists. The 155 mm example compares Mott N₀ and mean mass to the Åkesson arena. Not compared: JMEM tables, AJEM Pk, or arena fragment counts for the bomb and mortar, which are not in the open envelope. Methods and limits of use are on Sources and the Disclaimer.
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