Disk and Shoe Brake Equations and Calculators

 
 
 
 
 
 
DISC BRAKE
 
 
 
Disc Brake Calculator
 
 
 
 
A sectional view of a generic disc brake with calipers is illustrated right. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Calculate Brake Torque Capacity Input       
Clamping force,  F = lbf
 
 
Coefficient of friction,  μ = -
 
 
Caliper mean radius,  Rd = in
 
 
Number of calipers,  N = -    
 
 
 
 
 
 
Calculation
 
 
 
Braking torque,  T = 2*μ*F*N*Rm
 
 
 
 
in-lbf
 
 
 
 
 
 
 
 
 
 
 
 
Shoe Brake Calculator
 Stopping capacity is proportional to the normal force of brake shoe against the drum and coefficient of friction.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
BRAKE-1
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Calculate Brake Torque Capacity Input       
Coefficient of friction,  f =
 
 
 
Brake shoe face width,  w = in
 
 
Drum internal radius,  Rd = in
 
 
Shoe mean radius,  Rs = in
 
 
Shoe heel angle,  A1 = degrees
 
 
Shoe angle,  A2 = degrees
 
 
Shoe mean angle,  Am = degrees
 
 
Right shoe maximum shoe pressure,  Pmr = lbf/in^2
 
 
Left shoe maximum shoe pressure,  Pml = 150 lbf/in^2
 
 
C = in    
 
 
 
 
 
 
Calculation
 
 
 
X = (Rd - Rd*Cos(A2)) - (Rs/2)*Sin^2(A2))
 
 
 
X =
 
 
 
Right shoe friction moment,  Mr = ((f*Pm*w*Rd)/(Sin(Am))*(X)
 
 
 
Mr = in-lbf
 
 
 
 
 
 
 
Y =  (0.5*A2) - (0.25*Sin(2*A2))
 
 
 
Y =
 
 
 
Right normal forces moment,  Mn = ((Pm*w*Rd*Rs)/(Sin(Am))*(Y)
 
 
 
Mn = in-lbf
 
 
 
 
 
 
 
Brake cylinder force,  P = (Mn - Mr) / C
 
 
 
Answer:  P = lbf
 
 
 
 
 
 
 
Z = ((Cos(A1)-Cos(A2)) / Sin(Am)
 
 
 
Z =
 
 
 
Right shoe brake torque capacity,  Tr = f*Pm*w*Rd^2*(Z)
 
 
 
Tr = in-lbf
 
 
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