Punch compression & tension stress

12.2
Punching die
Fig. 1
Offset cutting stamp
AP shaft area AC cutting face σP shank pressure σS cutting pressure σAB stripping tensile stress l1 shank length l2 cutting edge length Δl punch compression

The forces acting on the cutting punch can lead to various compressive and tensile loads. It is important to check the acceptability of these loads.

For safety reasons, the calculation of the pressure surface of the punch head does not use the outside diameter of the punch head, but the diameter of the shank.

If the punch pressure exceeds 1,200 MPa, low-alloy tool steels are no longer suitable for the punch material. In such a case, you should use a high-alloy tool steel, or even better, a high-speed steel.25

If the shaft pressure is over 200MPa, there is a risk that the punch will dig into the soft top plate. To prevent this, a hardened pressure plate (eg made of material 1.2842) should be used between the punch holding plate and the base plate. The Rockwell hardness of this plate should be 58 HRC, since too hard pressure plates can lead to breakouts on the punch heads.512532

Eqn. 1
\require{color}\definecolor{myred}{RGB}{255,0,0} \sigma_{\color{myred}S}=\frac{F_{\color{myred}S}}{A_{\color{myred}S}}
Eqn. 2
\require{color}\definecolor{myred}{RGB}{255,0,0} \sigma_{\color{myred}P}=\frac{F_{\color{myred}S}}{A_{\color{myred}P}}
Eqn. 3
\require{color}\definecolor{myred}{RGB}{255,0,0} \sigma_{\color{myred}AB}=\frac{F_{\color{myred}AB}}{A_{\color{myred}C}}
Eqn. 4
\require{color}\definecolor{myred}{RGB}{255,0,0} \Delta l=\frac{l_{\color{myred}1}\cdot\sigma_{\color{myred}P}+l_{\color{myred}2}\cdot\sigma_{\color{myred}S}}{210\;GPa}
Cutting PressureσS=501.9MPa 
Shaft PressureσP=125.5MPa 
Stripper Tensile StressσAB=150.3MPa 
ElongationΔl=0.08mm 
Cutting powerFS = 39.4kN
Stripper forceFab = 11.8kN
Cutting faceAC = 78.5mm2
Shaft areaAP = 314mm2
Lengthl1 = 50mm
Lengthl2 = 20mm
Calc 1
Stamp printing & stamp compression

Example I A stepped punch with a cutting face of 78.5 mm 2 (round punch 10 mm) and a shaft area of 314 mm 2 (shank diameter 20 mm) is subjected to a cutting force of 39.4 kN. The stripper force is thus 11.8 kN, the cutting pressure is 502 MPa, the shank pressure is 126 MPa and the stripping tensile stress is 150 MPa.

25
Semmlinger, E.; Hellwig, W.Spanlose Fertigung: Schneiden-Biegen-ZiehenVieweg Fachbücher19904. Auflage
32
Kolbe, M.; Hellwig, W.Spanlose Fertigung StanzenSpringer ViewegWiesbaden201511. Auflage
51
VDI 3388Werkstoffe für Schneid- und UmformwerkzeugeBeuth VerlagBerlin1999
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