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Brake cylinder: rod force and braking moment

How large a force and what torque does a type 24 cylinder give at 6 bar?

Answer: An air brake cylinder's type (9, 12, 16, 20, 24, 30, 36) is its effective diaphragm area in square inches. Air pressure times area gives the force on the rod, and times the brake arm's (slack adjuster's) length gives the moment that rotates the brake cam or operates the disc brake's arm. The calculator is used when you compare axles, choose cylinder on replacement or want to explain why too long a stroke length gives poor braking. It does not replace a brake test.

Formula

Membranareal (cm²) = cylindertype (in²) × 6,4516, fordi 1 in² = 6,4516 cm²

Kraft F (N) = tryk (bar) × 10 × areal (cm²), fordi 1 bar = 10 N/cm²

Moment (Nm) = F (kN) × armlængde (mm)

The effective area applies in the cylinder's normal working range. With too long stroke length (poor re-adjustment) the force drops because the diaphragm is about to bottom

Symbols and units in the formula
SymbolMeaningUnit
tryk_barBrake pressure in cylinder (gauge on test connection)bar
cylindertypeCylinder type (effective diaphragm area in in²)—
armlaengde_mmBrake arm length (camshaft centre to fork pin)mm
=Force on tie rodkN
=Moment on the brake camNm
=Effective diaphragm areacm²

Validity and source

Source
Fysik: F = p × A · cylindertypen = effektivt membranareal i kvadrattommer (branchebetegnelse)

Does not apply when

  • Pressure and arm length should be your own measurements on the specific vehicle. Requirements for braking capacity and max. stroke length are in the manufacturer's data and inspection requirements. The brake system is safety-critical: always check on a roller test rig.

Worked example

The calculator's own default values inserted. The figures are calculated with exactly the formula the tool uses.

Substituted

  • Brake pressure in cylinder (gauge on test connection)6 bar
  • Cylinder type (effective diaphragm area in in²)24
  • Brake arm length (camshaft centre to fork pin)140 mm

Giver

  • Force on tie rod9.29 kN
  • Moment on the brake cam1,301 Nm
  • Effective diaphragm area154.8 cm²

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Sådan bruger du den

Når du vælger en ny bremsecylinder, sammenligner to aksler, eller vil forklare chaufføren hvorfor en for lang slaglængde giver dårlig bremse, kan du regne kraften og momentet ud. Cylinderens type er dens effektive membranareal i kvadrattommer.

Step by step

  1. Mål bremsetrykket i cylinderen på prøvestudsen.
  2. Aflæs cylindertypen på cylinderen eller i reservedelsdata.
  3. Mål bremsearmens længde fra kamakslens centrum til gaffelbolten.
  4. Kraft = tryk × areal, moment = kraft × arm.

Typical errors

  • At tro at typen er diameteren. Type 24 betyder 24 kvadrattommer effektivt areal.
  • At regne med armen fra kamakslen til enden af armen i stedet for til gaffelbolten.
  • At glemme at kraften falder, når slaglængden er for lang. Efterjustér eller skift slæk-justeren.

Examples from everyday life

Type 24 på styreakslen

En styreaksel har type 24-cylindre og 140 mm bremsearme. Ved fuld bremsning måler du 6 bar.

Brake pressure in cylinder (gauge on test connection)
6 bar
Cylinder type (effective diaphragm area in in²)
Type 24
Brake arm length (camshaft centre to fork pin)
140 mm

It means: Membranarealet er 154.8 cm², kraften på stødstangen 9.29 kN, og bremsekammen får 1,301 Nm.

Type 30 på drivakslen

Drivakslen har type 30 og 152 mm arme, også ved 6 bar.

Brake pressure in cylinder (gauge on test connection)
6 bar
Cylinder type (effective diaphragm area in in²)
Type 30
Brake arm length (camshaft centre to fork pin)
152 mm

It means: Her bliver kraften 11.61 kN og momentet 1,765 Nm. Større cylinder og længere arm giver drivakslen mere bremsemoment, hvor den bærer mest last.

Let bremsning

Ved en let opbremsning måler du kun 2 bar i samme type 24-cylinder.

Brake pressure in cylinder (gauge on test connection)
2 bar
Cylinder type (effective diaphragm area in in²)
Type 24
Brake arm length (camshaft centre to fork pin)
140 mm

It means: Kraften er 3.1 kN, og momentet 434 Nm. Kraften følger trykket lineært.

Rule of thumb

1 bar på en type 24-cylinder giver ca. 1,55 kN.

How to check the answer

Moment divideret med armlængden skal give kraften. Dobbelt tryk skal give dobbelt kraft.