Source-gated cutting-force arithmetic
Documented Simultaneous Punching-Force Worksheet
Calculate the nominal force to shear selected contours through flat stock with a straight, sharp punch and die and no intentional tool shear. The result is not a required press capacity or a machine-selection verdict.
Ideal sharp / no-shear result
Nominal straight-punch estimate
Ltotalt = n Lsingle
Askjær = Ltotalt t
F₀ = Askjær τ = Ltotalt t τ
L is cutting-edge length, not blank area. n is the count of identical contours whose selected edges engage at the same time. With L and t in mm and τ in N/mm² (MPa), F₀ is in newtons. With inch/ksi inputs, the worksheet first converts them with exact NIST factors and then evaluates the same SI equation.
| Symbol | Controlled meaning | Enhet |
|---|---|---|
| Lsingle | Complete cutting length of one selected contour | mm or in |
| n | Positive integer count engaged simultaneously | dimensionless |
| t | Actual stock thickness for the operation | mm or in |
| τ | Documented punching shear strength or cutting resistance for the actual material state and basis | MPa or ksi |
| F₀ | Nominal sharp, no-intentional-shear simultaneous cutting force | N; displayed as kN and kip |
What is deliberately outside the equation
The equation is not a force-versus-stroke model. Actual peak force can differ because of punch/die clearance and edge condition, intentional shear on the punch or die, tool wear, material lot and direction, strain rate, temperature, lubrication, local geometry and machine/tool compliance. This page does not estimate stripping, ejection, snap-through or reverse loads.
F₀ is not rated press capacity
Before selecting or approving a machine, use its controlled manufacturer data to check rated force at the relevant slide position and stroke, available energy, operating speed, tool and station capacity, load distribution, allowable reverse/stripping/ejection loads, dynamic shock, overload protection and all process-specific restrictions. A single universal “safety factor” cannot replace those checks.
Intentional punch or die shear requires the tooling manufacturer’s applicable force-time model and limits. Mate’s guide explicitly cautions against using shear merely to bring a calculation inside press capacity because dull cutting edges can raise force. Clearance, maintenance and wear criteria likewise belong to the actual tooling system; this worksheet supplies no universal clearance, stripping-force or shear-angle percentage.
Engineering source for the equation
Mate Precision Technologies, Salvagnini Style Tooling Guide III (2010), page 28, documents the no-shear manufacturer formula as punch perimeter × material thickness × material shear strength. Its published 20 mm square, 3 mm thick, 0.3447 kN/mm² example gives 82.7 kN. The equation on this page is therefore classified as a documented manufacturer engineering formula—not an ISO formula.
For a cluster, Mate’s Cluster Punching Tips defines total linear cut length from the perimeter and number of punches. Any manufacturer-specific capacity percentage or application instruction remains specific to its stated equipment and is not generalized here. Exact inch, pound-force and psi conversions use NIST SP 811 Appendix B.
ISO 16092 is safety scope, not this force formula
ISO 16092-1:2017 is the published general press-safety part; its official record was current but marked “to be revised” when accessed on 13 July 2026, with a replacement project under development. Its scope requires use with the applicable type-specific part and excludes some machines, including turret punch presses. The published type-specific records include ISO 16092-2:2019 for mechanical presses, ISO 16092-3:2017 for hydraulic presses and ISO 16092-4:2019 for pneumatic presses.
These public ISO records support only the scope/status statements above. Exact safety requirements and applicability to a particular machine remain NEEDS_LICENSED_SOURCE plus a machine-specific legal/conformity review. No ISO clause or table is claimed for F₀.