Bending force II

16.7.2
V die stamping
Fig. 1
V-die bending ① ② & embossing ③
α Bending angle FSt Punch force hB Bending height lB Bending length s0 Sheet thickness w Drawing width
Eqn. 1
\require{color}\definecolor{myred}{RGB}{255,0,0} F_{\color{myred}St\;max}\geq l_{\color{myred}B}\cdot s_{\color{myred}0}\cdot0,3\cdot\frac{R_{\color{myred}m}-R_{\color{myred}p0,2}}{A_{\color{myred}gl}}\cdot\frac{s_{\color{myred}0}}w\cdot\left[3\cdot\frac{A_{\color{myred}gl}\cdot R_{\color{myred}p0,2}}{R_{\color{myred}m}-R_{\color{myred}p0,2}}+\frac{s_{\color{myred}0}}w+\sqrt{6\cdot\frac{A_{\color{myred}gl}\cdot R_{\color{myred}p0,2}}{R_{\color{myred}m}-R_{\color{myred}p0,2}}\cdot\frac{s_{\color{myred}0}}w+\left(\frac{s_{\color{myred}0}}w\right)^{\color{myred}2}}\right]
Eqn. 2
\require{color}\definecolor{myred}{RGB}{255,0,0} W_{\color{myred}B}=F_{\color{myred}St\;max}\cdot h_{\color{myred}B}\cdot m_{\color{myred}B}
Max. punch forceFSt max=2.5kN 
Bending workWB=28.17J 
Bending lengthlB = 100mm
Die widthw = 10mm
Sheet thicknesss0 = 1mm
Tensile strengthRm = 310MPa
Yield strengthRp 0,2 = 175MPa
Uniform elongationAgl = 23.5%
Bend heighthB = 15mm
Mean factor bendingmB = 0.75
Calc 1
Maximum force FSt max according to Zünkler56
Similar to deep drawing, the mean factors are between 0.6...0.9.
The calculation is to be applied to bending angles α ≥ 54°.
The advantage of this calculation is that the material properties yield point, tensile strength and uniform elongation, which have a special influence on the bending behavior, are taken into account.56
Material parameters eg from the table for sample materials.
14
Doege, E.; Breidohr, B.EFB-Forschungsbericht Nr. 35: Untersuchungen zum Tiefziehen von Teilen mit unebenen BodenformenEuropäische Forschungsgesellschaft für Blechverarbeitung e. V.Hannover1988
56
Zünkler, B.Rechnerische WErfassung der Vorgänge beim Biegen im V-förmigen GesenkTH StuttgartStuttgart1966
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