Hodograph for Punch Operation (Hosford and Cadell 2E 8-3)

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SUMMARY

The discussion centers on the punch operation analysis using the Hodograph method as outlined in Hosford and Cadell's "Materials Forming" (2E, Problem 8-3). Key equations include the rate of work done, expressed as dW/dt = k ∑ (S⋅V*) and dW/dt = P (w/2) Vp. The participant expresses uncertainty regarding the inclusion of a fifth velocity vector (V5) and the shear force on the CE segment, while calculating the pressure-to-shear ratio, yielding P/2k = 8, which is perceived as high.

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  • Familiarity with the equations of motion in mechanics
  • Knowledge of shear forces and their implications in punch operations
  • Proficiency in interpreting graphical representations of velocity vectors
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Homework Statement


Hosford+Caddell_8-3.jpg


Homework Equations



dW/dt = k ∑ (S⋅V*)

dW/dt = P (w/2) Vp

The Attempt at a Solution



Attached: img005.pdf

I have some idea about the orientation of V* 1-4 based on the upper-bound field provided. Unsure if I should include a V5. Is there shear on CE? (Wrote DE in my work but meant CE) Also unsure what the magnitude of V*CE would be.

I got P/2k = 8. Seems high
 

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