The power required for operation.

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Chapter 24, Problem 4P

To determine

The power required for operation.

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The figure above shows a hybrid cutting-extrusion process using a tool of zero-degree rake angle. In this process, the thickness of the chip at the exit of the deformation zone (shear plane), viz. deformed chip thickness (tc), can be controlled a priori to be set at specific values by application of a second constraint tool located directly across from the cutting tool. Note that in this process, tc can be set smaller or larger than the undeformed chip thickness (to). a) When the deformed chip thickness (tc) is set to be twice the undeformed chip thickness (to), what is the shear strain imposed at the shear plane? b) Is there any other deformed chip thickness (tc) setting for which the resulting shear strain is the same as that obtained in a)? Note: You may assume a shear-plane type model for the chip formation.