Biomechanics

MD Alper DUNKI· University of Health Sciences, Istanbul, Umraniye Training and Research Hospital
Apr 21, 2026

Spot Knowledge

  • Biomechanics applies physics and engineering to study forces and motion in biological systems.

  • Kinematics = motion description (position, velocity, acceleration).

  • Kinetics = forces and moments that cause motion.

  • Human joints combine translational + rotational movements.

  • Free body diagrams and degrees of freedom (DOF) are essential tools.

Definition & Importance

  • Biomechanics investigates how energy and forces act on biological tissues.

  • In orthopaedics, it explains injury mechanisms, guides surgical technique, and informs implant/prosthesis design.

  • Biomechanics

Basic Concepts

  • Scalar: magnitude only (e.g., speed).

  • Vector: magnitude + direction (e.g., velocity).

  • Mass vs Weight: mass = constant; weight = gravity-dependent.

  • Center of Mass (COM): coincides with center of gravity in clinical use.

  • Displacement: shortest path between two points.

  • Velocity & Acceleration: rate of displacement/velocity change.

  • Force: push/pull changing motion; unit Newton (N).

  • Moment & Torque: rotational effects of force.

  • Equilibrium: sum of forces/moments = 0.

Newton’s Laws of Motion

  1. Inertia: Body stays at rest/motion unless external force acts.

  2. F = ma: Force equals mass × acceleration.

  3. Action–Reaction: Equal and opposite reactions.

Fundamental Tools

  • Free Body Diagram: shows all acting forces.

  • Degrees of Freedom (DOF):
    2D = 3 DOF (2 translational + 1 rotational).
    3D = 6 DOF (3 translational + 3 rotational).

  • Coordinate System: X (sagittal), Y (coronal), Z (transverse).

Kinematics vs Kinetics

  • Kinematics: motion analysis without forces; crucial for joint kinematics and prosthesis design.

  • Kinetics: analysis of forces/moments causing motion.

  • Motion: translational, rotational, or combined.

Examples of Joint Mechanics

Elbow (90° flexion, holding weight):

  • Forces: forearm weight (Wf), external load (Wo), biceps (Fmuscle), joint reaction (Fjoint).

  • Moment equilibrium: pFmuscle = qWf + rWo.

  • .Example: Fmuscle = 860 N, Fjoint = 735 N4. Biomechanics

Hip (single-leg stance):

  • Forces: abductor (M), joint reaction (J), partial body weight (W).

  • Moment equilibrium: M = (W·a)/b.

  • Example: M = 1000 N, J = 1500 N4. Biomechanics

References

  1. Savage M, Culvenor AG, Hedger M, Matt AR, O'Brien MJM, McMillan RM, De Livera A, Mentiplay BF. Are Altered Knee Joint Biomechanics Associated with Future Post-Traumatic Osteoarthritis Outcomes? A Systematic Review and Meta-Analysis of Longitudinal Studies. Sports Med. 2025 Oct;55(10):2595-2612. doi: 10.1007/s40279-025-02288-1. Epub 2025 Aug 5. PMID: 40762662; PMCID: PMC12513957.

  2. Chatterjee A, Davis ZR, Lescun T, Chan DD. Multiscale correlations between joint and tissue-specific biomechanics and anatomy in postmortem ovine stifles. Sci Rep. 2025 Feb 7;15(1):4630. doi: 10.1038/s41598-025-87491-w. PMID: 39920243; PMCID: PMC11806062.