Buckling of the cutting punch Normal conditions

12.5
Bend cutting punch
Fig. 1
Bend punching die
① Spring-loaded guide plate ② Fixed guide plate l2 Free buckling length according to Euler case 2 l3 Free buckling length according to Euler case 3 s0 Sheet thickness

To calculate the buckling of cutting punches, Euler cases 2 and 3 are used. The length dimensions can be derived from the construction. It is assumed that the maximum moment of force is reached when the punching die has penetrated one third into the sheet metal.

The validity range for normal conditions includes a safety factor of 3. For unfavorable conditions, however, a safety factor of 5 is used. This takes into account additional uncertainties and potential risks to ensure that the punch functions reliably under these conditions.53

Eqn. 1
\require{color}\definecolor{myred}{RGB}{255,0,0} \sigma_{\color{myred}d~zul}\leq\left\{\begin{array}{l}\frac{E\cdot\pi^{\color{myred}2}}{3\cdot\lambda^{\color{myred}2}}&\mbox{if $\lambda$ $\geq $ 30}\\2620-62\cdot \lambda&\mbox{if 10 $\leq$ $\lambda$$\leq$ 30}\\2000&\mbox{if $\lambda$ $\leq $ 10}\end{array}\right.
maximum Compression Stressσd zul=1,628MPa 
Young's modulusE = 210GPa
Slenderness ratioλ = 16
Calc 1
Allowable compressive stress for normal conditions 53
53
Klepzig, W.Schneid- und Umformwerkzeuge für die Blechbearbeitung (Stanzwerkzeuge)Hochschul-LehrmaterialZwickau2010
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