BIZOMAT MAKEOS · Power Transmission

Winch Drum Brake Check (Load Torque at the Brake, Stop Time, Holding Factor, Brake Energy)

For a geared winch or hoist with a brake on the motor shaft, can the brake hold and stop the descending load quickly enough, and how much heat does each stop put into it?

Check of the motor-shaft brake of a geared rope winch or hoist: the drum torque from the rope load, the load torque at the brake through the gear ratio with the gear efficiency helping the brake when lowering, the rope speed, the inertia at the brake including the load reflected through the drum and gears, then the stopping time, stop distance, holding factor and energy per stop and per hour (as the holding brake sizing tool, load overhauling), against your stop time and brake ratings.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Rope loadkNLoad on the rope at the drum, including hook and rope.
Drum diameter (to rope centre)mmDrum diameter to the rope centre (use the outer layer for a multi-layer drum).
Gear ratio (motor ÷ drum)Total reduction from the motor to the drum.
Gear efficiency%Efficiency of the gearing.
Motor speedrpmMotor speed when lowering.
Motor, brake and coupling inertiakg·m²Inertia of the motor rotor, brake disc and coupling.
Brake
Brake torque (dynamic rating)N·mDynamic torque rating of the brake.
Engagement delaysTime from switching off to the brake gripping.
Required total stop timesLongest acceptable stop time.
Holding factor requiredBrake torque as a multiple of the load torque needed for holding.
Permissible energy per stopkJEnergy the brake may absorb in one stop.
Stops per hourStops per hour.
Permissible energy per hourkJEnergy the brake may absorb per hour.

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Rope load
Illustration: Rope loadA block with an arrow pushing on it; the arrow is the force Rope load.FExample: 5 kNRope load
What it is
The pull in the rope where it leaves the drum, including the load, hook block and hanging rope.
Units and format
Enter a number in kN: kilonewtons (1 kN = 1000 N). The form accepts 0.000001 kN to 10000 kN. Required: the tool does not calculate until every input is valid.
Example
The form opens with 5 kN as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The load torque at the brake rises in direct proportion.
Get it right
Enter it in kN, not N or kg: divide a force in newtons by 1000.
What this means: Drum diameter (to rope centre)
Illustration: Drum diameter (to rope centre)A circle with a line straight through its centre from edge to edge, marking the diameter Drum diameter (to rope centre).Dmeasured acrossthe centreExample: 300 mmDrum diameter (to rope centre)
What it is
The drum diameter measured to the centre of the rope, which sets the lever arm of the rope pull on the drum.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 10000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 300 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
For a multi-layer drum use the outer rope layer, where the torque is highest.
What this means: Gear ratio (motor ÷ drum)
Illustration: Gear ratio (motor ÷ drum)Two wheels of different sizes linked together; Gear ratio (motor ÷ drum) compares one with the other.iExample: 40Gear ratio (motor ÷ drum)
What it is
The total speed reduction from motor to drum: motor speed divided by drum speed. The brake is on the motor shaft.
Units and format
Enter a plain number with no unit. The form accepts 1 to 10000. Required: the tool does not calculate until every input is valid.
Example
The form opens with 40 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A larger ratio lowers the load torque at the brake.
Get it right
Multiply the ratios of all gear stages and any chain or belt drive.
What this means: Gear efficiency
Illustration: Gear efficiencyInput on the left and useful output on the right with the loss split off; Gear efficiency is output divided by input.inputuseful outputlossηExample: 85%Gear efficiency
What it is
The efficiency of the gearing between drum and brake. When the load drives the gears backwards, losses reduce the torque that reaches the brake.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 10% to 100%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 85% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Use the back-driving efficiency from the gearbox maker if it differs from the forward value.
What this means: Motor speed
Illustration: Motor speedA turning disc with a marker; Motor speed is how many full turns it makes in each minute.turns of the shaftper minutenExample: 1450 rpmMotor speed
What it is
The motor shaft speed when the brake is applied, normally the lowering speed.
Units and format
Enter a number in rpm: revolutions per minute. The form accepts 0.000001 rpm to 100000 rpm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1450 rpm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The braking time after engagement rises in direct proportion to speed, and the energy per stop with its square.
Get it right
Use the actual lowering speed, which can exceed the rated speed with some drives.
What this means: Motor, brake and coupling inertia
Illustration: Motor, brake and coupling inertiaA rotating disc with masses away from its centre; Motor, brake and coupling inertia measures how strongly it resists speeding up or slowing down its rotation.mass × radius²JExample: 0.02 kg·m²Motor, brake and coupling inertia
What it is
The mass moment of inertia of everything on the motor shaft: rotor, brake disc, coupling and fan.
Units and format
Enter a number in kg·m²: kilogram square metres (mass moment of inertia). The form accepts 0 kg·m² to 10000 kg·m². Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.02 kg·m² as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Take it from the motor and brake data sheets and add them; it is in kg·m², not the GD² value.

Brake

What this means: Brake torque (dynamic rating)
Illustration: Brake torque (dynamic rating)A shaft with a curved arrow around it: torque Brake torque (dynamic rating) is the twisting effect, force times lever arm.T_btwisting effect= force × lever armExample: 40 N·mBrake torque (dynamic rating)
What it is
The braking torque the brake gives while slipping, from the brake maker’s dynamic rating, acting at the motor shaft.
Units and format
Enter a number in N·m: newton-metres. The form accepts 0.000001 N·m to 10000000 N·m. Required: the tool does not calculate until every input is valid.
Example
The form opens with 40 N·m as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
More brake torque shortens the stop and raises the holding factor.
Get it right
Use the dynamic (sliding) rating, which is lower than the static holding rating.
What this means: Engagement delay
Illustration: Engagement delayA timeline from a start mark to an end mark; Engagement delay is the time between them.startendt_dExample: 0.05 sEngagement delay
What it is
The time from switching off to the brake gripping, during which the load keeps moving at full speed.
Units and format
Enter a number in s: seconds. The form accepts 0 s to 5 s. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.05 s as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Take it from the brake data; DC-side switching of the coil is much faster than AC-side switching.
What this means: Required total stop time
Illustration: Required total stop timeA timeline from a start mark to an end mark; Required total stop time is the time between them.startendtExample: 0.5 sRequired total stop time
What it is
The longest total stop time you accept, from switch-off to standstill, including the engagement delay.
Units and format
Enter a number in s: seconds. The form accepts 0.000001 s to 600 s. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.5 s as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
It must be longer than the engagement delay; take it from the machine’s safety requirements.
What this means: Holding factor required
Illustration: Holding factor requiredTwo bars: a base value and the same value multiplied by Holding factor required, the factor.base valuewith factor×Example: 2Holding factor required
What it is
The multiple of the load torque at the brake that the brake torque must reach to hold the load stationary.
Units and format
Enter a plain number with no unit. The form accepts 1 to 5. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Take it from the standard or rules that apply to the hoist.
What this means: Permissible energy per stop
Illustration: Permissible energy per stopA store filling up with energy; Permissible energy per stop is the total amount of work or heat involved.WExample: 5 kJPermissible energy per stop
What it is
The energy the brake can absorb in a single stop without overheating, from the brake maker’s data.
Units and format
Enter a number in kJ: kilojoules. The form accepts 0.000001 kJ to 1000000 kJ. Required: the tool does not calculate until every input is valid.
Example
The form opens with 5 kJ as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Enter kilojoules, not joules.
What this means: Stops per hour
Illustration: Stops per hourItems moving past a point on a conveyor; Stops per hour is how many pass in each unit of time.count pointzExample: 20Stops per hour
What it is
How many times per hour the brake stops the load from speed, used to find energy per hour.
Units and format
Enter a plain number with no unit. The form accepts 0 to 100000. Required: the tool does not calculate until every input is valid.
Example
The form opens with 20 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Energy per hour rises in direct proportion.
Get it right
Count only dynamic stops; brake applications at standstill add no friction energy.
What this means: Permissible energy per hour
Illustration: Permissible energy per hourA store filling up with energy; Permissible energy per hour is the total amount of work or heat involved.EExample: 100 kJPermissible energy per hour
What it is
The energy the brake can absorb per hour of operation, limited by how fast it sheds heat.
Units and format
Enter a number in kJ: kilojoules. The form accepts 0.000001 kJ to 100000000 kJ. Required: the tool does not calculate until every input is valid.
Example
The form opens with 100 kJ as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Take it from the brake maker’s data; enter kilojoules.

Method and formulas

  1. Drum torque = F D ÷ 2; load torque at the brake when lowering = drum torque ÷ i × η; rope speed = π D n ÷ (60 i).
  2. Inertia at the brake = J_m + m (D ÷ 2i)² with m = F ÷ g.
  3. Stop time, angle, energy and holding factor with the load driving through the stop (as the holding brake sizing tool); stop distance = brake shaft angle × D ÷ 2i.
  4. Example: 15.938 N·m at the brake; the load stops in 0.22145 s after dropping 77.284 mm.

Limitations

  • Rigid rope and gearing; rope stretch adds to the stop distance and softens the shock.
  • Single brake on the motor shaft; a second (load) brake changes the duty.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Check the brake on a hoist or winch
  • Find the stop distance of a descending load
  • Check a brake after a gearbox change

Who it is for

  • Lifting engineers
  • Maintenance engineers
  • Machine designers

What you get

  • Drum torque, load torque at the brake, rope speed
  • Inertia, stop time and stop distance
  • Holding factor and brake energy

Interpreting the result

  • When lowering, gear losses help the brake; when the gearbox is efficient the brake must do more.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 2455–2459, 165–168. Topic reference; no source tables or recommended settings are reproduced.

Learn the Concepts Behind This Tool

These BIZOMAT Library readings explain the method this tool uses, with worked examples.

BIZOMAT tools are screening and decision-support utilities. Verify important financial, engineering, safety, legal or operational decisions using appropriate professional standards and your organisation’s approved data.

Open the Winch Drum Brake Check (Load Torque at the Brake, Stop Time, Holding Factor, Brake Energy) calculator