KnownasMerchant’scirclediagram,whichisconvenienttodetermine the relation between thevarious forces and angles.In the diagram two force triangleshave been combined and R andR’together have been replaced by R.the force R can be resolved into twocomponents Fcand Ft.Fc and Ft can be determined byforce dynamometers.tcFFRThe rake angle(α)can be measured from the tool, and forces F and N canthen be determined. The shear angle () can be obtained fromit’srelationwith chip reduction coefficient. Now Fs & Fn can also be determined.Merchant’s Circle Diagram∅WorkToolChipClearance AngleFtFcFNFnFsααβ(β-α)R
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The procedure to construct a Merchant’s circle diagram∅WorkToolChipClearance AngleFtFcFNFnFsααβ(β-α)RSet up x-y axislabeledwithforces, and theorigininthecentreofthepage.Thecuttingforce(Fc) is drawnhorizontally,andthetangentialforce(Ft)isdrawnvertically.(Drawintheresultant(R)of Fc and Ft.