Design of Tool Shank

Generally the shank of a cutting tool is analyzed for strength and rigidity. Tool is supposed to be loaded as a cantilever by tool forces at the cutting edge as depicted in Figure.

                           Figure: Deflections and Frequency of Chatter for Several Overhung Values

The notations used in design of shank are described below:

F = Permissible tangential force during machining, N

f = Chatter frequency, cycle per second (c.p.s)

H = Depth of shank( mm)

B = Width of shank (mm)

L₀ = Length of overhung (mm)

d = Deflection of shank( mm)

E = Young's modulus of material (N/mm²)

I = Moment of inertia( mm⁴)

h_c = Height of centres (mm)

σ_ut = Ultimate tensile strength ( N/mm²)

σ_per = Permissible stress of shank material ( N/mm²)

L_c = Length of centres( mm)