MachineCalcs

Brake Torque Calculator

Estimate disc brake torque, caliper clamp force and tire contact force from line pressure, piston area, pad friction and rotor effective radius.

Calculator

Hydraulic brake line pressure.

bar

Diameter of each caliper piston.

mm

Number of active pistons on one side of the rotor. Floating calipers can be represented by the piston count on the active side.

Effective pad friction coefficient.

Effective friction radius from rotor center to pad force centroid.

mm

Rolling radius used to convert brake torque into tire contact force.

mm

Results

Default result
Edit inputs
Brake torque(T_b)
1,509N·m
Pass

Also computed

Caliper clamp force(F_c)31,440N

7,069 lbf

Tire contact force(F_t)4,573N

1,028 lbf

Piston area, one side2,280mm²

Method notes 2 notes
  • Clamp force is modeled as 2 * line pressure * total piston area on one side of the rotor.
  • Real brake performance also depends on pedal ratio, master cylinder, booster, bias, tire grip, pad temperature, ABS, rotor heat capacity and dynamic weight transfer.

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How to use this calculator

  1. Enter line pressure. Use measured or estimated hydraulic brake line pressure.
  2. Enter caliper pistons. Enter piston diameter and pistons per side.
  3. Enter pad and rotor data. Set pad friction coefficient and effective rotor radius.
  4. Review torque and force. Read brake torque, clamp force and tire contact force.

How it works

Brake torque starts with hydraulic force on the caliper pistons. One-side piston area is A = n x pi x d^2 / 4. The calculator estimates clamp force as F_c = 2 x P x A, then brake torque as T_b = F_c x mu x r, where mu is the pad friction coefficient and r is effective rotor radius.

Tire contact force is brake torque divided by rolling radius. Use the wheel offset calculator when changing wheels around a brake package, and the tire size calculator if tire radius is changing.

Worked example

Verified against the live calculator

At 1,000 psi line pressure, two 1.5 in pistons per side, pad friction of 0.40 and a 120 mm effective radius, the calculator estimates roughly 1,500 N*m of brake torque at that wheel before tire and heat limits are considered.

Frequently asked questions

How do you calculate disc brake torque?

The calculator estimates clamp force from line pressure and piston area, then multiplies by pad friction coefficient and effective rotor radius.

Why is clamp force two times pressure times piston area?

For a disc brake, hydraulic pressure pushes pads against both sides of the rotor. This first-pass model uses clamp force = 2 x pressure x total piston area on one side.

Does this include pedal ratio or master cylinder size?

No. Enter line pressure directly. Pedal ratio, master cylinder, booster and balance bar calculations are separate upstream checks.

Can this predict stopping distance?

No. Stopping distance also depends on tire grip, vehicle mass, weight transfer, brake balance, ABS, heat and road surface.

Method & assumptions

  • Models a disc brake from line pressure, total piston area on one side, pad friction and effective radius.
  • Does not calculate pedal force, master cylinder pressure, hydraulic bias, booster effect or balance-bar settings.
  • Final brake design needs tire grip, thermal capacity, front/rear balance, ABS behavior, fluid boiling margin and testing.
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