FUNDAMENTAL MECHANICS in BIO. ENGINEERING

AIM

The objective of the course is to enable students to • understand the role of biomechanics in engineering and science, • recognize the principles of mechanics to analyze the mechanical behaviour of the biological systems, • develop solutions to analyze the motion of the biomechanical systems by using relevant concepts in calculus and laws of physics, • simulate and analyze various biomechanical models based on the analogies between the mechanical elements and human body parts. • learn the fundamental concepts of biomechanics and apply those to analyze analyzing the mechanical behavior of various complex biomedical problems • develop skills for analyzing, interpreting and presenting biomechanical models by using computational tools.

CONTENT

This course contains; Introduction to Biomechanics, Applications of Biomechanics, Fundamentals of Biomechanics, Force Vectors,Resultant of Force Systems, Moment of Force around a Specific Axis, Twin Force Moment, Force Types, Equilibrium of a Particle, Free Body Diagram, Statics: Newton's Law, Equilibrium Equations, Constraints and Reactions, Supporting Structures,Distributed Loading, Equilibrium of a Rigid Body, Support Reactions, Balance Equations, Twin Force Elements,Three Force Elements, 3D Free Body Diagrams, Equilibrium Equations, Constraints and Static Determination,Applications of Statics to Biomechanics (Elbow Mechanics, Shoulder Mechanics, Spinal Cord Mechanics, Hip Mechanics, Knee Mechanics),Applications of Statics to Biomechanics (Spine Mechanics, Hip Mechanics, Knee mechanics),Internal Forces and Moments, Axial Force, Shear Force, Bending Moment, Bending Moment,Shear and Moment Equations and Diagrams in Biomechanics applications,Characteristics of Dry Friction & Problems Involving Dry Friction,Center of Gravity, Center of Mass and Center Point of an Object, Inertia for Fields Definition of Moments,Parallel Axis Theorem, Radius of Rotation and Moment of Inertia for Composite Fields,Product of Inertia for an Area, Moments of Inertia According to Inclined Axes for an Area, Moments of Inertia in Mohr's Circle, Mass Moment of Inertia,Definition of Work, Principle of Virtual Work, Virtual Work for Solid Objects Connected to the System principle ,Conservative Forces, Potential Energy, Potential Energy Criterion for Equilibrium, Stability of Equilibrium Configuration.

1. 1

   Analyze a biomechanical problem under static conditions.

   Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Traditional Written Exam, Homework, Project Task

2. 2

   Express the system in a free-body diagram and solve rigid-body equilibrium problems using the equations of equilibrium.

   Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Traditional Written Exam, Homework, Project Task

3. 3

   Use principles of mechanics to analyze biomechanical systems, such as the human musculoskeletal system.

   Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Traditional Written Exam, Homework, Project Task

4. 4

   Determine the internal loading in a body at a specific point .

   Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Traditional Written Exam, Homework, Project Task

5. 5

   Obtain the internal shear force and bending moment and express them in the shear-moment diagrams.

   Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Traditional Written Exam, Homework, Project Task

6. 6

   Analyze the forces of the body resisting against various types of loadings.

   Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Traditional Written Exam, Homework, Project Task

7. 7

   Recognize the concepts of position, velocity, and acceleration, and analyze how movements are produced.

   Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Traditional Written Exam, Homework, Project Task

8. 8

   Investigate motion of a body along a straight line or a curved path using different coordinate systems.

   Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Traditional Written Exam, Homework, Project Task

9. 9

   Analyze a moving body employed for human motion analysis and sport mechanics by using the principles of linear and angular kinematics.

   Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Traditional Written Exam, Homework, Project Task

10. 10

    Analyze the accelerated motion of a body using the equation of motion defined in different coordinate systems.

    Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Traditional Written Exam, Homework, Project Task

11. 11

    Solve kinetic problems using the conservation of energy.

    Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Traditional Written Exam, Homework, Project Task

12. 12

    Analyze a moving body employed for human motion analysis and sport mechanics by using the principles of linear and angular kinetics.

    Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Traditional Written Exam, Homework, Project Task

13. 13

    Apply the principles of linear and angular momentum to solve rigid-body planar kinetic problems.

    Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Traditional Written Exam, Homework, Project Task

14. 14

    Identify the analogies between the mechanical elements and the human body parts, and analyze various biomechanical models based on these physical similarities.

    Taught by: Discussion Method, Problem Solving Method, Question - Answer Technique, Experiential Learning · Assessed by: Homework, Project Task

15. 15

    Analyze and simulate a biomechanical model.

    Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Homework, Project Task

16. 16

    Identify, formulate, and solve a defined engineering problem using their technical skills, such as MATLAB/Simulink, C++, CAD tools.

    Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Homework, Project Task

17. 17

    Take part in a product-oriented study.

    Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Homework, Project Task

18. 18

    Work in a team and communicate effectively in Turkish and English by oral, written, graphical and technological means.

    Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Homework, Project Task

19. 19

    Develop interdisciplinary approaches in theory and practice.

    Taught by: Discussion Method, Question - Answer Technique, Experiential Learning · Assessed by: Homework, Project Task

WEEKLY PLAN

1. WEEK 1

   Introduction to Biomechanics, Applications of Biomechanics, Fundamentals of Biomechanics, Force Vectors

   Preparation: lecture presentations

2. WEEK 2

   Resultant of Force Systems, Moment of Force around a Specific Axis, Twin Force Moment, Force Types, Equilibrium of a Particle, Free Body Diagram, Statics: Newton's Law, Equilibrium Equations, Constraints and Reactions, Supporting Structures

   Preparation: lecture presentations

3. WEEK 3

   Distributed Loading, Equilibrium of a Rigid Body, Support Reactions, Balance Equations, Twin Force Elements

   Preparation: lecture presentations

4. WEEK 4

   Three Force Elements, 3D Free Body Diagrams, Equilibrium Equations, Constraints and Static Determination

   Preparation: lecture presentations

5. WEEK 5

   Applications of Statics to Biomechanics (Elbow Mechanics, Shoulder Mechanics, Spinal Cord Mechanics, Hip Mechanics, Knee Mechanics)

   Preparation: lecture presentations

6. WEEK 6

   Applications of Statics to Biomechanics (Spine Mechanics, Hip Mechanics, Knee mechanics)

   Preparation: lecture presentations

7. WEEK 7

   Internal Forces and Moments, Axial Force, Shear Force, Bending Moment, Bending Moment

   Preparation: lecture presentations

8. WEEK 8

   Shear and Moment Equations and Diagrams in Biomechanics applications

   Preparation: lecture presentations

9. WEEK 9

   Characteristics of Dry Friction & Problems Involving Dry Friction

   Preparation: lecture presentations

10. WEEK 10

    Center of Gravity, Center of Mass and Center Point of an Object, Inertia for Fields Definition of Moments

    Preparation: lecture presentations

11. WEEK 11

    Parallel Axis Theorem, Radius of Rotation and Moment of Inertia for Composite Fields

    Preparation: lecture presentations

12. WEEK 12

    Product of Inertia for an Area, Moments of Inertia According to Inclined Axes for an Area, Moments of Inertia in Mohr's Circle, Mass Moment of Inertia

    Preparation: lecture presentations

13. WEEK 13

    Definition of Work, Principle of Virtual Work, Virtual Work for Solid Objects Connected to the System principle

    Preparation: lecture presentations

14. WEEK 14

    Conservative Forces, Potential Energy, Potential Energy Criterion for Equilibrium, Stability of Equilibrium Configuration

    Preparation: lecture presentations

ASSESSMENT

• Rate of Midterm Exam to Success50%
• Rate of Final Exam to Success50%

WORKLOAD

READING

• 1. Russell C. Hibbeler: Engineering Mechanics: Statics & Dynamics (14th Edition), Prentice Hall, 2016, ISBN-9780133915457. 2. Peter M. McGinniss: Biomechanics of Sport and Exercise (3th Edition), Human Kinetics, Champaign, 2013, ISBN-13: 9780736089104. 3. N. Özkaya, D. Leger, D. Goldsheyder, M. Nordin: Fundamentals of Biomechanics: Equilibrium, Motion, and Deformation (4th Edition), Springer, 2016, ISBN-9783319447384.
• 1. J. Hamill, K. Knutzen, T. Derrick: Biomechanical Basis of Human Movement (4th Edition), Lippincott, Williams and Wilkins, 2014, ISBN-13:9781451177305. 2. John McLester, Peter St. Pierre: Applied Biomechanics: Concepts and Connections (1st Edition), 2008, ISBN-13: 9780495105862.

TEACHING STAFF

• Assist.Prof. Elif HOCAOĞLUCOORDINATOR
• Assist.Prof. Elif HOCAOĞLU