KneeSchool/Biomechanics Academy/External Moments
External Moments
Page 3.4.6 · Knee Kinetics · biomechanics page
The moments the world applies to the knee. One of them, the adduction moment, is the most clinically useful number in knee biomechanics.
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External Moments
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The Principle
An external moment is one applied to the limb from outside it: by gravity, by the ground, by a load being carried, or by another person.
It is called external because the body did not produce it. The body's job is to resist it, which it does with an internal moment. 3.4.7 covers that side.
Naming the external moment is the convention in the literature, so a reported knee moment usually describes what the world is doing rather than what the muscles are doing.
At the Knee
An external flexion moment tends to bend the knee and is resisted by the quadriceps. It is largest in early stance and on stairs.
An external extension moment tends to straighten the knee and is resisted by the hamstrings and the posterior structures.
An external adduction moment tends to angulate the knee into varus and loads the medial compartment. It is produced whenever the ground reaction force line passes medial to the knee, which in normal walking it does for most of stance.
An external abduction moment does the reverse and loads the lateral compartment. It is the moment applied in a valgus collapse.
What Changes It
Alignment. A varus knee sits further lateral to the force line, which lengthens the arm and raises the adduction moment.
Body weight, which scales the force producing every external moment.
Walking speed, which raises the peaks.
Where the foot is placed and how the trunk leans, both of which move the force line.
Clinical Relevance
The adduction moment is the mechanical reason medial compartment osteoarthritis is commoner than lateral.
A walking stick held in the opposite hand reduces the adduction moment, which is a mechanical effect rather than a confidence one.
An osteotomy works by moving the force line so the moment falls, which is why the correction target matters more than the appearance. 3.13 covers alignment.
Carrying a load on one side changes the moment at the knee on the other, which is worth asking about in an occupational history.
Key Learning Points
- An external moment is applied from outside the body, by gravity, the ground or a load.
- The literature names the external moment by convention.
- An external adduction moment loads the medial compartment.
- A varus knee has a longer adduction moment arm, so the moment is larger.
- A stick in the opposite hand reduces the adduction moment mechanically.
MRCS Level
The Principle
An external moment is the cross product of the ground reaction force and the vector from the knee to the force's point of application, so it changes with both the force and the geometry.
It is reported normalised to body mass, and sometimes to mass and height, which makes studies comparable and conceals absolute load.
Peak values and impulse are both reported. The impulse, the moment integrated over the stance phase, is the better description of cumulative exposure.
At the Knee
The external knee adduction moment peaks twice in stance in most people, mirroring the two peaks of the vertical ground reaction force. 3.4.2 covers that curve.
Conventional teaching associates a larger adduction moment with faster radiographic progression of medial compartment osteoarthritis, and the association is stronger for progression than for incidence.
The external flexion moment in early stance sets the eccentric quadriceps demand, and a patient who avoids it walks with a reduced stance flexion wave. 3.3.9 covers walking.
Transverse plane external moments are small in walking and substantial in cutting, where they combine with the coronal moment. 3.3.14 covers cutting.
What Changes It
Mechanical axis alignment, which is the dominant term and is surgically modifiable.
Foot progression angle. Conventional teaching holds that walking with the feet turned out reduces the late stance adduction moment.
Lateral trunk lean towards the stance limb, which moves the centre of mass over the knee and reduces the moment.
A cane or a lateral wedge, which redirect or offload part of the force.
How It Is Measured
Inverse dynamics from force plate and motion capture gives the moment and is a research measurement.
The hip knee ankle angle on a long leg standing film is the clinical proxy and correlates moderately with the dynamic moment.
Wearable and insole systems estimate it with a model between the sensor and the number.
Reported effect sizes for gait modification are small, and the mechanism is not in doubt while the clinical benefit remains modest.
Clinical Relevance
Measure alignment when the adduction moment is the clinical question, since it is the available proxy.
Offer a cane in the opposite hand for medial compartment pain, on mechanical grounds.
Describe gait modification honestly as a small mechanical change with a sound rationale.
Prefer impulse over peak when the question is cumulative exposure rather than a single step.
Key Learning Points
- An external moment depends on both the force and the geometry.
- Normalising to body mass makes studies comparable and hides absolute load.
- Impulse describes cumulative exposure better than a peak does.
- A larger adduction moment is associated with faster medial progression.
- Toe out gait and lateral trunk lean both reduce the moment, by conventional teaching.
FRCS Level
At the Knee
Treat the adduction moment as the target of every mechanical treatment for medial compartment disease, and treat alignment as the lever that moves it furthest.
The dose response is the useful framing. Osteotomy produces a large change, bracing a moderate one, gait modification and a wedge a small one, and the invasiveness follows the same order.
The association with progression is observational. No randomised evidence establishes that lowering the moment by a stated amount changes an individual's outcome, which is the honest limit of the argument.
What Changes It
Correction magnitude and the resulting mechanical axis, which is the dominant surgical variable.
Body mass, which scales the moment and often exceeds the mechanical correction in magnitude.
Brace design and compliance, since an unworn brace applies no moment.
Compartment and ligament state, which decide whether unloading the medial side is sufficient or the knee needs more.
How It Is Measured
Gait analysis quantifies the moment and the change a treatment produces, in a laboratory and over a few strides.
Long leg radiography measures the static correction achieved and is what is available after surgery.
Registry and cohort data measure survivorship and conversion to arthroplasty, which is the outcome rather than the mechanism.
There is no agreed moment threshold for intervention, so the indication stays clinical and radiographic.
Clinical Relevance
Match the intervention's mechanical dose to the patient's deformity and demand.
Address body mass alongside correction, since it can exceed the surgical effect.
State the observational nature of the progression association when counselling.
Plan correction to a mechanical axis target and confirm it radiographically.
Key Learning Points
- Alignment is the lever that moves the adduction moment furthest.
- Dose response: osteotomy large, bracing moderate, gait modification small.
- The association with progression is observational, with no randomised threshold.
- Body mass can exceed the surgical effect in magnitude.
- No agreed moment threshold defines the indication.
Explore Further
Where this topic came from and where it goes next in the spiral.
- 3.4.7Internal Moments
- 3.4.5Moments About the Knee
- 3.4.2Ground Reaction Forces
- 3.4.3Joint Reaction Forces
- 3.3.9Kinematics During Walking
References
No reference list is attached to this draft. Evidence verification has not run, because source retrieval was unavailable at generation time. Under the Operations Handbook a missing reference is acceptable and an invented one is a critical failure, so nothing has been cited and no citation marker appears in the text. Every measurement on this page is written from standard teaching rather than from a retrieved paper, and none has been checked against a source. Under decision 006 each one is registered in pipeline/config/figures with the sentence it supports and a verification state of UNVERIFIED_FROM_MEMORY, so the whole list can be checked and corrected rather than hunted for.
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