Mechanics of the V-Bend

Mandibular 1st Molar to Central Incisor ─ Burstone's Principle

Question
You want to intrude L1 (mandibular central incisor).
Where should the V-Bend be placed?
Mandibular alveolar bone 1st Molar L1 A B C Extrusion Intrusion
A: Near incisor
Incisor extrudes, Molar intrudes
Extrusion Intrusion
Molar → Intrusion
Incisor → Extrusion
B: Near molar ★Correct
Molar extrudes, Incisor intrudes
Extrusion Intrusion
Molar → Extrusion
Incisor → Intrusion
C: Midpoint
Zero vertical force, Moment only
Vertical force = 0
Both → Moment only
Burstone's Principle

Tooth near the V-Bend = Extrusion (pulled out)
Tooth far from the V-Bend = Intrusion (pushed in)

∴ To intrude the incisor → Place the bend at B (near the molar), far from the incisor

Why does this happen? ─ Think of a Seesaw

Wire = Seesaw board, V-Bend = Fulcrum

Place the fulcrum near the molar. The nearby molar springs up (extrusion), and the distant incisor sinks (intrusion).

Fulcrum (V-Bend) Molar Near Extrusion Incisor Far Intrusion Near side → Rises / Far side → Sinks

If you place the seesaw fulcrum right next to yourself, you spring up, while the distant partner stays down.

Same thing with a Clothesline pole

What if you push up the pole near the molar side?

The stand near your finger (molar) rises, and the distant stand (incisor) is pressed down.

① Straight = Zero force

Molar Incisor Zero force

② Push up near the molar = V-Bend

Push up with finger (V-Bend) Molar Incisor

③ Near side rises, far side sinks

Rises = Extrusion Sinks = Intrusion
Tooth near the V-Bend = Extrusion
Tooth far from the V-Bend = Intrusion

Seesaw or clothesline pole — same principle. That's all there is to it.

Application ─ Anti-Spee Curve (Reverse Curve) follows the same principle

V-Bend = Single bend point → Reverse Curve = Collection of continuous bend points

Placing a reverse curve in the wire to correct the Curve of Spee is essentially the elastic restoring force of the wire. It is equivalent to multiple V-Bends distributed continuously near the molar region.

V-Bend (single point) vs Reverse Curve (continuous)

V-Bend (pinpoint) Reverse Curve (distributed across the arch) Molar Incisor V-Bend Extrusion Intrusion Molar Incisor Extrusion Intrusion ← Collection of continuous V-Bends →
V-Bend = Single bend point → Pinpoint control between 2 teeth
Reverse Curve = Continuous bend points → Force distributed across the entire arch

Both rely on "the elastic force of the wire trying to return to its straight form." Same principle.

When a reverse curve is placed in a case with a deep Curve of Spee:
Molar region → Extrusion (the curve is strongest near the molars = near the V-Bend)
Incisor region → Intrusion (far from the curve = far from the V-Bend)

As a result, the Curve of Spee is leveled.

Supplementary ─ U-arch vs Continuous Arch

The V-Bend principle holds true directly in segmented arches

Burstone advocated segmented arches to simplify the force system and make it controllable.

U-arch (Segmented) ─ Only 2 points: #6 and #1 #6 #1 5 4 3 2 No brackets Extrusion Intrusion Predictable Continuous Arch ─ Brackets on all teeth #6 #5 #4 #3 #2 #1 Friction Friction Friction Friction ? Unpredictable Intermediate brackets disperse and absorb forces → Force on each tooth becomes unpredictable
U-arch (Segmented) = 2-point constraint → Force is predictable and controllable
Continuous = Multi-point constraint → Force is dispersed and unpredictable due to friction

The V-Bend principle holds true directly in segmented arches.
This is why Burstone advocated the segmented arch approach.

Legend

Intrusion
Extrusion
Fulcrum / Bend