Machining Metal Removal

Written by Jerry Ratzlaff on . Posted in Welding Engineering

Cutting Speed formula

\(\large{ v_c =  \frac{ \pi \; d \; v }{ 1000 }  }\)  

Where:

\(\large{ v_c } \) = cutting speed

\(\large{ d } \) = diameter of workpiece

\(\large{ \pi } \) = Pi

\(\large{ v } \) = spindle speed

 

Feed formulas

\(\large{ f =  \frac{ l_m }{ v }  }\)  
\(\large{ f =  v \; f_t \; Z   }\)  

Where:

\(\large{ f } \) = feed

\(\large{ f_t } \) = feed per tooth

\(\large{ l_m } \) = machined length per minute

\(\large{ Z } \) = number of flutes

\(\large{ v } \) = spindle speed

 

Feed per Tooth formula

\(\large{ f_t =  \frac{ f }{ v \; Z }  }\)  

Where:

\(\large{ f_t } \) = feed per tooth

\(\large{ f } \) = feed

\(\large{ Z } \) = number of flutes

\(\large{ v } \) = spindle speed

 

Machining time formula

\(\large{ f =  \frac{ l }{ l_m } }\)  

Where:

\(\large{ Tc } \) = machining time

\(\large{ l } \) = length of workpiece

\(\large{ l_m } \) = machined length per minute

 

Metal Removal Rate formulas

\(\large{ MRR =  \frac{ A \; d }{ t }  \; 60  }\)   
\(\large{ MRR =  s \; f \; d  }\)  
\(\large{ MRR =  \frac{s \; f \; d }{ 1000 }  }\)  

Where:

\(\large{ MRR }\) = metal removal rate

\(\large{ A } \) = area of cut

\(\large{ d } \) = depth of cut

\(\large{ s } \) = speed of cut

\(\large{ t } \) = cut time

\(\large{ f } \) = feed rate

 

Net Power formula

\(\large{ P_n =  \frac{ z \; f \; v_c \; F_c }{ 60 \; 10^3 \; n_m } \; KW  }\)  

Where:

\(\large{ P_n } \) = net power

\(\large{ z } \) = depth of cut

\(\large{ f } \) = feed per revolution

\(\large{ v_c } \) = cutting speed

\(\large{ F_c } \) = specific cutting force

\(\large{ n_m } \) = machine efficiency

 

Spindle Speed formula

\(\large{ v =  \frac{ \frac{ v_c }{ \pi }  }{ d_d }  \; 1000  }\)  

Where:

\(\large{ v } \) = spindle speed

\(\large{ v_c } \) = cutting speed

\(\large{ d_d } \) = diameter of drill

\(\large{ \pi } \) = Pi

 

theoretical Finished Surface Toughness formula

\(\large{ h =  \frac{ f^2 }{ 8 \; Re } \;1000  }\)  

Where:

\(\large{ h } \) = feed

\(\large{ f } \) = feed per revolution

\(\large{ r_c } \) = insert's corner radius

 

Tags: Equations for Thermal Conductivity Equations for Welding Equations for Machining