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Calcimator

Belay Braking Force Calculator

Calculate the braking and holding forces for different belay devices based on rope diameter, climber weight, and fall factor. Compare tubular, assisted-braking, and figure-8 devices.

About this calculator

This model estimates how hard a fall pulls on the rope and how much of that force the belay device itself absorbs versus how much the belayer's brake hand must hold. It starts from a simplified impact-force calculation: climber weight sets the static load (mg), and a spring-like rope model — using a fixed rope stiffness and a nominal 5 meters of rope out — scales the peak force upward with the Fall Factor you enter, capturing the real-world fact that harder, shorter falls hit harder. That impact force is then split by device: each belay device type carries its own base friction coefficient (0.7 for a tubular/ATC, 0.95 for an assisted-braking device like a GriGri, 0.55 for a figure-8), reflecting how much rope friction the device design itself generates before the belayer's hand adds any braking. Rope diameter adjusts that further — thicker rope generates more friction against the device, modeled here as roughly a 6% change in friction per millimeter away from a 9.8mm baseline.

Braking Force is the device's share of arresting the fall; Belayer Holding Force is what's left over that the belayer's brake hand must supply directly, so a lower holding force means the device is doing more of the work. Device Efficiency reports that split as a percentage. Because the impact-force model assumes a fixed 5m of rope out rather than your actual rope length, treat the absolute kN figures as comparative estimates for evaluating devices and rope choices — not as a substitute for manufacturer-rated fall ratings.

Inputs

mm
lb

Results

Braking Force

1.95 kN

Belayer Holding Force

0.84 kN

Device TypeTubular (ATC)
Impact Force on Climber2.79 kN
Device Efficiency70%
How to Use This Calculator
  1. Select your belay device type: tubular (ATC-style), assisted-braking (Grigri), or figure-8.
  2. Enter the rope diameter in mm (typically 9.2–10.5 mm for a single rope).
  3. Input the fall factor for the scenario you are evaluating (use the Fall Factor calculator if needed).
  4. Read Braking Force in kN — the force the belay device can apply to arrest a fall.
  5. Check Holding Force to confirm it stays within safe limits for your belay station and anchor.
  6. Review Device Efficiency (%) to understand how much of the rope's friction is being utilized.

How the result changes with Climber Weight

Climber WeightBraking ForceBelayer Holding Force
381.25 kN0.54 kN
561.61 kN0.69 kN
1132.6 kN1.11 kN
1503.19 kN1.37 kN

What each input means

Belay Device Type
Sets the device's friction coefficient used in the braking force model.
Rope Diameter
Diameter of your climbing rope in millimeters. Thicker ropes (10-11mm) generate more friction; thin ropes (8.5-9.5mm) generate less.
Climber Weight
Body weight of the lead climber in kilograms. Heavier climbers generate higher impact forces in a fall.
Fall Factor
Expected fall factor (fall distance / rope paid out). Typical sport climbing falls are 0.3-0.7. Factor 2 is the theoretical maximum.

What each result means

Device Type
The belay device type used in this calculation.
Braking Force
Force applied to the rope by the belay device to arrest the fall.
Belayer Holding Force
Force the belayer must personally hold. Lower values mean the device is doing more work.
Impact Force on Climber
Estimated peak force experienced by the falling climber.
Device Efficiency
Percentage of impact force handled by the belay device friction.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Belay Device Type = 0, Rope Diameter = 9.8, Climber Weight = 75, Fall Factor = 0.5 = 4 input(s) provided
  2. Calculate Braking Force
    Braking Force = round((braking / 1000) * 100) / 100
    1.95 = 1.95
  3. Calculate Belayer Holding Force
    Belayer Holding Force
    0.84 = 0.84
  4. Calculate Device Type
    Tubular (ATC) = Tubular (ATC)
  5. Calculate Impact Force on Climber
    Impact Force on Climber
    2.79 = 2.79

Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does the Assisted Braking device show the highest Device Efficiency?

Each device type is assigned its own base friction coefficient — 0.95 for assisted braking (GriGri-style), 0.7 for a tubular/ATC, and 0.55 for a figure-8 — reflecting how much rope friction the mechanism itself generates before your brake hand adds anything. Device Efficiency is just that effective friction expressed as a percentage, so the assisted-braking device reports the highest share of the fall arrested by the device alone, which is also why its calculated Belayer Holding Force comes out lowest.

Does the calculator use my actual rope length when computing Impact Force?

No — there's no rope-length input at all. The impact-force model assumes a fixed nominal 5 meters of rope out and a constant rope stiffness value regardless of how much rope is actually paid out in your scenario, then scales the peak force with the Fall Factor you enter. That makes the kN figures useful for comparing devices, rope diameters, and fall factors against each other, but not a substitute for a fall calculation tied to your real rope length.

Why does a thicker rope increase the Braking Force?

Rope diameter feeds a multiplier on the device's base friction coefficient: for every millimeter above the 9.8mm baseline, effective friction increases about 6%, and for every millimeter below it, friction decreases by the same amount. Physically this reflects a thicker rope's larger surface area creating more friction against the device's braking surfaces, which raises Braking Force and lowers Belayer Holding Force at the same fall factor.

What does a low Belayer Holding Force actually mean for safety?

Holding Force is what's left of the impact force after the device's own friction has done its share of the work — it's calculated as Impact Force minus Braking Force, floored at zero. A lower value means the device is absorbing more of the fall itself, so the belayer needs to supply less brake-hand force to keep the rope from slipping, which is generally considered safer and less fatiguing on long or heavy-fall sessions.

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