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Biomechanics and Free Body Diagrams for the FRCSOrth

Courtesy: Rishi Dhir, FRCSOrth, Consultant Orthopaedic and Upper Limb Surgeon, Princess Alexandria Hospital, Harlow, UK

Overview

Biomechanics forms the foundation of understanding movement, load transmission, and joint function in Orthopaedics.

These principles are essential for:

  • Injury analysis
  • Surgical planning
  • Implant design
  • Clinical decision-making

Force


Definition

A force is a load acting across a particular area.


Unit

  • Measured in Newtons (N)

Clinical Relevance

  • Related to stress within tissues
  • Determines tissue deformation and injury patterns

Newton’s Laws of Motion


First Law – Law of Inertia

  • A body remains at rest or in uniform motion unless acted upon by an external force

Clinical Insight

  • When:
    • Sum of forces = 0
    • Sum of moments = 0
      The body is in equilibrium

Second Law – Law of Acceleration

F=ma  

  • Force is proportional to mass and acceleration

Third Law – Action and Reaction

  • Every action has an equal and opposite reaction

Orthopaedic Examples

  • Ground reaction forces during walking
  • Joint reaction forces

Moments (Torque)


Definition

A moment is the turning effect of a force acting at a distance from a pivot.


Formula

M=F×d


Example

  • Seesaw principle:
    • Larger force – shorter lever arm
    • Smaller force – longer lever arm

Couples


Definition

A couple consists of:

  • Two equal
  • Opposite
  • Parallel forces
  • Acting at different points

Examples

  • Turning a steering wheel
  • Opening a bottle cap

Clinical Applications of Force Couples


Shoulder Force Couples

Coronal Plane

  • Deltoid – upward pull
  • Rotator cuff – downward & medial pull

 Maintains centering of humeral head


Rotator Cuff Tear

  • Loss of downward force
     Superior migration – rotator cuff arthropathy

Transverse Plane

  • Subscapularis (anterior)
  • Infraspinatus + Teres minor (posterior)

 Balance internal and external rotation


Wrist Force Couples

Lunate Function

  • Acts as a torque converter

Balances:

  • Scaphoid (flexion tendency)
  • Triquetrum (extension tendency)

Scapholunate Injury

  • Leads to:
    • Scaphoid flexion
    • Lunate extension
      DISI deformity

Levers


Definition

A lever consists of:

  • Fulcrum (pivot)
  • Force (effort)
  • Load (resistance)

Types of Levers


1. First-Class Lever

  • Fulcrum between force and load

Examples:

  • Seesaw
  • Atlanto-occipital joint

2. Second-Class Lever

  • Load between fulcrum and force

Example:

  • Tiptoe standing (MTP joint)

 Most efficient lever


3. Third-Class Lever

  • Force between fulcrum and load

Examples:

  • Elbow
  • Shoulder

 Most common in human body


Equilibrium


Definition

A system is in equilibrium when:

  • Sum of forces = 0
  • Sum of moments = 0

Free Body Diagrams (FBD)


Definition

A simplified representation used to analyze:

  • Forces
  • Moments

Key Assumptions

Forces

  • Joint forces are compressive

Bones

  • Treated as rigid structures

Joints

  • Considered frictionless hinges

Muscles

  • Act only in tension

Additional Assumptions

  • No antagonistic muscle activity
  • Line of action passes through muscle center

Clinical Applications of Free Body Diagrams


Commonly Applied To

  • Hip
  • Shoulder
  • Elbow
  • Knee
  • Spine
  • Foot

Hip Biomechanics


Lever Type

  • First-class lever

Components

  • Fulcrum – Femoral head
  • Load – Body weight
  • Force – Hip abductors

Example Calculation

500×15=F×5

 Abductor force – 1500 N


Joint Reaction Force

  • 2000 N

Clinical Application

Trendelenburg Gait

  • Weak abductors
     Patient shifts body – reduces joint load

Walking Stick (Opposite Hand)

  • Reduces joint reaction force
  • Decreases pain

Charnley Arthroplasty

  • Medializes hip center
     Improves abductor efficiency

Shoulder Biomechanics


Lever Type

  • Third-class lever

Components

  • Fulcrum – Humeral head
  • Force – Deltoid
  • Load – Arm weight

Reverse Shoulder Arthroplasty

  • Medializes and inferiorizes center of rotation
     Improves deltoid function

Elbow Biomechanics


Lever Type

  • Third-class lever

Key Point

  • Increasing weight in hand:
    • Increases muscle force
    • Increases joint reaction force

Foot Biomechanics (MTP Joint)


Lever Type

  • Second-class lever

Components

  • Fulcrum – MTP joint
  • Load – Body weight
  • Force – Gastrocnemius–soleus

Spine Biomechanics


Lever Type

  • First-class lever

Key Insight

  • Squatting:
    • Increases muscle lever arm
    • Reduces spinal load

Patellofemoral Joint Biomechanics


Forces Involved

  • Quadriceps force
  • Patellar tendon force

 Produce compressive joint reaction force


Effect of Patellectomy

  • Loss of mechanical advantage

 Increased:

  • Quadriceps force
  • Joint reaction force

Clinical Correlation

  • Pain worsens during:
    • Stair climbing
    • Deep knee flexion

Key Take-Home Points


Core Concepts

  • Force, moments, couples, and levers form the basis of biomechanics
  • Most joints function as third-class levers

Clinical Relevance

  • Helps explain:
    • Joint loading
    • Injury mechanisms
    • Surgical principles

Exam Focus

  • Understand:
    • Free body diagrams
    • Lever systems
    • Clinical applications

 

Post Views: 2,731

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    Courtesy: Shwan Henari, FRCS Orth, FRCS Mentor Group and Orthopaedic Academy

  • Free Body Diagram of the Hip Joint

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  • Free Body Diagram of the Hip Joint

    Courtesy: Saqib Masud FRCS John Davis FRCS Cardiff Mock Exam for FRCS

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