● Free Educational Tool

Closing Loop Designer

Design T-loops, L-loops, and vertical closing loops. Adjust gable bends, wire size, loop height, and position — and watch the force, the load-deflection rate, and the moment-to-force ratio update live.

No install · No signup · Runs in your browser. Educational and research tool — not a medical device.

Loop Designer
Loop
Friction
Movement
Materials
Loop force system
Loop type
T / L / vertical
T-loop
Delivered force
At activation
~150 g
Load-deflection rate
Force per mm
g/mm
M/F ratio
Movement control
Tune
Illustrative — live values update as you change the inputs

What you can explore

Loop mechanics from beam theory — every number traces to the wire and the geometry.

Three loop families

T-loop, L-loop, and vertical closing loops — switch and compare their force systems.

Gable bends

Add gable bends and watch the moment — and therefore the root control — change.

Load-deflection rate

See how wire size, loop height, and material set the force-per-millimetre you deliver.

M/F ratio

Tune the moment-to-force ratio to target tipping, controlled tipping, or translation.

How it works

A custom closing loop in three moves.

1

Pick the loop

Choose a T-, L-, or vertical loop and a starting wire.

2

Shape it

Set the height, position, and gable bends — the beam model recomputes the force system.

3

Read the mechanics

See delivered force, load-deflection rate, and the M/F ratio at the bracket.

Beam mechanics, not guesswork

Loop force and stiffness come from validated beam-bending theory keyed to the wire’s cross-section and modulus — lower the load-deflection rate (taller loop, smaller wire) and watch the force become gentler and more constant, exactly as the literature describes.

Who it's for

For learning why a loop delivers the force it does.

🎓

Dental & ortho students

Build real intuition before the clinic — change a parameter and watch the mechanics respond, instead of memorizing rules.

🦷

Residents & clinicians

A fast sandbox to reason from first principles — concept-level understanding, never patient-specific advice.

🔬

Educators & researchers

A transparent, citable model for teaching and study. Every value traces to a published equation.

Frequently asked questions

What is the load-deflection rate of a loop?

It is the force delivered per millimetre of activation. A lower rate gives a gentler, more constant force over the closing range — achieved with a taller loop, a smaller or more flexible wire, or added wire length.

Why add gable bends?

Gable bends add a moment to the force system, raising the moment-to-force ratio so the roots are controlled during space closure rather than the crowns simply tipping together.

Is it free? Do I need to install anything?

It's completely free, with no signup, and runs entirely in your browser — nothing is downloaded or installed.

Is this a medical device?

No. It is an educational and research simulation of general biomechanics using generic, user-entered parameters. It does not use patient data and is not intended for the diagnosis or treatment planning of individual patients.

Open the simulator

Free, in your browser, right now.

Launch the Loop Designer →