Fundamentals of Biomechanics

Introduction
Principal Areas of Biomechanics
Approach in This Book
Problem
References

Review of Human Anatomy and Some Basic Terminology
Gross (Whole-Body) Modeling
Position and Direction Terminology
Terminology for Common Movements
Skeletal Anatomy
Major Joints
Major Muscle Groups
Anthropometric Data
Problems
References

Methods of Analysis I: Review of Vectors, Dyadics, Matrices,and Determinants
Vectors
Vector Algebra: Addition and Multiplication by Scalars
Vector Algebra: Multiplication of Vectors
Dyadics
Matrices/Arrays
Determinants
Relationship of 3 × 3 Determinants, Permutation Symbols,and Kronecker Delta Functions
Eigenvalues, Eigenvectors, and Principal Directions
Maximum and Minimum Eigenvalues and the Associated Eigenvectors
Use of MATLAB®
Elementary MATLAB® Operations and Functions
Problems
References

Methods of Analysis II: Forces and Force Systems
Forces: Vector Representations
Moments of Forces
Moments of Forces about Lines
Systems of Forces
Special Force Systems
Principle of Action–Reaction
References

Methods of Analysis III: Mechanics of Materials
Concepts of Stress
Concepts of Strain
Principal Values of Stress and Strain
Two-Dimensional Example: Mohr’s Circle
Elementary Stress–Strain Relations
General Stress–Strain (Constitutive) Relations
Equations of Equilibrium and Compatibility
Use of Curvilinear Coordinates
Review of Elementary Beam Theory
Thick Beams
Curved Beams
Singularity Functions
Elementary Illustrative Examples
Listing of Selected Beam Displacement and Bending Moment Results
Magnitude of Transverse Shear Stress
Torsion of Bars
Torsion of Members with Noncircular and Thin-Walled Cross Sections
Energy Methods
Problems
References