© 2019

Lecture Notes on Theoretical Mechanics


  • Focuses on essential and fundamental topics in theoretical mechanics

  • Presents central aspects of theoretical mechanics in an accessible format

  • Is intended for undergraduate courses on fundamental aspects of theoretical mechanics


Table of contents

  1. Front Matter
    Pages i-xiii
  2. Jianlin Liu
    Pages 1-10
  3. Statics

    1. Front Matter
      Pages 11-11
    2. Jianlin Liu
      Pages 13-25
    3. Jianlin Liu
      Pages 27-41
    4. Jianlin Liu
      Pages 43-51
    5. Jianlin Liu
      Pages 65-72
  4. Kinematics

    1. Front Matter
      Pages 73-73
    2. Jianlin Liu
      Pages 75-80
    3. Jianlin Liu
      Pages 81-85
    4. Jianlin Liu
      Pages 87-95
  5. Kinetics

    1. Front Matter
      Pages 97-97
    2. Jianlin Liu
      Pages 99-102
    3. Jianlin Liu
      Pages 103-108
    4. Jianlin Liu
      Pages 109-117
    5. Jianlin Liu
      Pages 119-133
    6. Jianlin Liu
      Pages 135-143
    7. Jianlin Liu
      Pages 145-150

About this book


This book addresses a range of basic and essential topics, selected from the author's teaching and research activities, offering a comprehensive guide in three parts: Statics, Kinematics and Kinetics. Chapter 1 briefly discusses the history of classical and modern mechanics, while Chapter 2, presents preliminary knowledge, preparing readers for the subsequent chapters. Chapters 3 to 7 introduce statics, force analysis, simplification of force groups, equilibrium of the general coplanar force group, and the center of the parallel force group. 

The Kinematics section (Chapters 8 to 10), covers the motion of a particle, basic motion and planar motion of a rigid body.

Lastly, the Kinetics section (Chapters 11 to 14) explores Newton’s law of motion, theorem of momentum, theorem of angular momentum, and theorem of kinetic energy. 
With numerous examples from engineering, illustrations, and step-by-step tutorials, the book is suitable for both classroom use and self-study. After completing the course, students will be able to simplify complex engineering structures and perform force and motion analyses on particles and structures, preparing them for further study and research.
The book can be used as a textbook for undergraduate courses on fundamental aspects of theoretical mechanics, such as aerospace, mechanical engineering, petroleum engineering, automotive and civil engineering, as well as material science and engineering.


Theoretical Mechanics textbook Fundamentals of statics Force analysis Equilibrium equations Planar generalized force system Particle motion Planar motion Newton’s second law Principle of momentum Principle of angular momentum Principle of kinetic energy Newton’s Laws of Motion Theorem of Momentum Theorem of Angular Momentum Theorem of Kinetic Energy

Authors and affiliations

  1. 1.Department of Engineering Mechanics, College of Pipeline and Civil EngineeringChina University of Petroleum (East China)QingdaoChina

About the authors

Dr. Jianlin Liu is currently a Professor at the Department of Engineering Mechanics, School of Pipeline & Civil Engineering, China University of Petroleum (East China). His main research interests include deals soft matter mechanics, applied mathematics, nonlinear mechanics in structures and micro/nano-mechanics. He has published more than 50 papers indexed by SCI, one monograph, and three book chapters.

He received his bachelor’s degree in Mechatronics from the School of Mechatronics at Qingdao University in 2000; his master’s degree in Solid Mechanics, from the Department of Mathematics & Mechanics at the School of Applied Science, Beijing Science & Technology University in 2003; and his Ph.D. in Mechanics, from the Department of Engineering Mechanics, Tsinghua University in 2008. Since February 2008, he has been a lecturer, Associate Professor and Full Professor at the Department of Engineering Mechanics, School of Pipeline & Civil Engineering at China University of Petroleum (East China).

Jianlin has received several prestigious awards, including Taishan Young Scholar of Shandong Province, the Outstanding Youth Fund of the National Natural Science Foundation of Shandong Province, the Shandong Province Second Prize for Natural Science, Qingdao City’s Young Science and Technology Prize and the Endeavour Australia Cheung Kong Research Fellowship Scholarship.

Bibliographic information

Industry Sectors
Chemical Manufacturing
Consumer Packaged Goods
Energy, Utilities & Environment
Oil, Gas & Geosciences