2nd Edition
Mechanics of Materials Basics and Finite Elements
Preface
Dedication
Acknowledgements
Authors
Chapter 1 MECHANICS OF MATERIALS
CHAPTER OBJECTIVES
1.1 WHAT IS MECHANICS OF MATERIALS?
1.2 SUBJECT DEFINITION
1.3 APPLICATION OF THE SUBJECT
1.4 APPLICABLE ENGINEERING FIELDS
1.5 USEFUL TERMS
1.6 HISTORY OF MECHANICS OF MATERIALS
1.7 BASIC PROBLEM SCENARIOS
1.8 PROBLEM SOLUTION
1.8.1 Problem Solution Steps
1.9 IMPORTANCE OF FINITE ELEMENT ANALYSIS
1.10 ORGANIZATION OF THE BOOK
Problems
Chapter 2 STATICS—A REVIEW
CHAPTER OBJECTIVES
2.1 STATICS
2.2 SUPPORT REACTIONS
2.3 ANALYSIS OF TRUSSES
2.4 DISTRIBUTED FORCES
2.5 STATICALLY INDETERMINATE STRUCTURES
Summary Sheet
Problems
Chapter 3 STRESS
CHAPTER OBJECTIVES
3.1 INTRODUCTION
3.2 DEFINITION OF STRESS
3.3 NORMAL STRESS UNDER AXIAL LOADING
3.4 BEARING STRESS
3.5 SHEAR STRESS
3.6 STRESS TRANSFORMATION IN A BAR UNDER AXIAL LOADING
Summary Sheet
Problems
Chapter 4 STRAIN
CHAPTR OBJECTIVES
4.1 INTRODUCTION
4.2 NORMAL STRAIN
4.2.1 Local Normal Strain and Average Normal Strain
4.3 SHEAR STRAIN
4.4 THERMAL STRAIN
4.5 MEASUREMENT OF STRAIN
Summary Sheet
Problems
Chapter 5 MECHANICAL PROPERTIES OF MATERIALS
CHAPTR OBJECTIVES
5.1 INTRODUCTION
5.2 STRESS-STRAIN BEHAVIOR
5.3 STRESS-STRAIN CHARACTERISTICS
5.4 HOOKE’S LAW
5.5 POISSON’S RATIO
5.6 MATERIAL TYPES AND BEHAVIOR
5.7 STRAIN ENERGY
Summary Sheet
Problems
Chapter 6 AXIAL LOADING
CHAPTR OBJECTIVES
6.1 INTRODUCTION
6.2 SAINT-VENANT’S PRINCIPLE
6.3 AXIALLY LOADED MEMBER
6.4 PRINCIPLE OF SUPERPOSITION
6.5 STATICALLY INDETERMINATE STRUCTURES
6.6 THERMAL EFFECTS
6.7 STRESS CONCENTRATION
Summary Sheet
Problems
Chapter 7 TORSION IN SHAFTS
CHAPTR OBJECTIVES
7.1 INTRODUCTION
7.2 ANALYSIS OF CIRCULAR SHAFTS
7.3 FORMULATION OF STRAIN
7.4 FORMULATION OF STRESS7.5 ANGLE OF TWIST
7.6 STATICALLY INDETERMINATE TORSION MEMBERS
7.7 SOLID NON-CIRCULAR SHAFTS
7.8 THIN-WALLED TUBES
7.9 COMPOSITE SHAFTS
Summary Sheet
Problems
Chapter 8 BENDING IN BEAMS
CHAPTR OBJECTIVES
8.1 INTRODUCTION
8.2 SHEAR AND MOMENT DIAGRAMS
8.3 FLEXURE FORMULA
8.4 COMPOSITE BEAMS
8.5 TRANSVERSE SHEAR
8.6 BEAM DEFLECTION
8.7 STATICALLY INDETERMINATE BEAMS
Summary Sheet
Problems
Chapter 9 STRESS AND STRAIN TRANSFORMATIONS
CHAPTR OBJECTIVES
9.1 INTRODUCTION
9.2 STRESS TRANSFORMATION
9.3 MOHR’S CIRCLE OF PLANE STRESS
9.4 THREE-DIMENSIONAL STATE OF STRESS
9.5 THIN-WALLED PRESSURE VESSELS
9.6 STRAIN TRANSFORMATION
9.7 MOHR’S CIRCLE OF PLANE STRAIN
9.8 THREE-DIMENSIONAL STATE OF STRAIN
9.9 STRAIN MEASUREMENT
9.10 THEORIES OF FAILURE
Summary Sheet
Problems
Chapter 10 INTRODUCTION TO FINITE ELEMENT ANALYSIS
CHAPTER OBJECTIVES
10.1 INTRODUCTION
10.2 FINITE ELEMENT APPROXIMATION
10.3 THE PROCESS OF FINITE ELEMENT ANALYSIS
10.4 SHAPE FUNCTION
10.5 BASIC EQUATIONS OF FINITE ELEMENT ANALYSIS
Summary Sheet
Problems
Chapter 11 METHODS AND EQUATIONS IN FEA
CHAPTER OBJECTIVES
11.1 INTRODUCTION
11.2 DIRECT METHOD APPLICATION USING SPRINGS, BARS, AND TRUSS ELEMENTS
11.3: UNIAXIAL BAR ELEMENT – THEORY AND FINITE ELEMENT EQUATIONS
11.4 BOUNDARY CONDITIONS IN FINITE ELEMENT ANALYSIS
11.5 PLANE TRUSS ELEMENTS IN FINITE ELEMENT ANALYSIS
11.6 FINITE ELEMENT ANALYSIS OF BEAMS
Summary Sheet
Problems
Appendix A. Geometric Properties of Planar Shapes
Appendix B. Deflections and Slopes of Beams in Bending
Appendix C. Buckling of Columns
Appendix D. Basic Linear Algebra
Appendix E. Mechanical Properties of Common Engineering Materials
Appendix F. Applying MATLAB in Finite Element Analysis
Index
Biography
Clarence W. de Silva, Fellow ASME, Fellow IEEE, Fellow Canadian Academy of Engineering, Fellow Royal Society of Canada, is a Professor Emeritus of Mechanical Engineering at the University of British Columbia, Vancouver, Canada. He has occupied the following chair professorships:
- Senior Canada Research Chair Professorship in Mechatronics and Industrial Automation
- NSERC-BC Packers Research Chair in Industrial Automation
- Mobil Endowed Chair Professorship
He has served as a faculty member at Carnegie Mellon University (1978–1987) and as a Fulbright Visiting Professor at the University of Cambridge (1987–1988).
He has earned Ph.D. degrees from Massachusetts Institute of Technology (1978) and the University of Cambridge, England (1998), the Higher Doctorate, Sc.D., from the University of Cambridge (2020), and an honorary D.Eng. degree from the University of Waterloo, Canada (2008).
Other Fellowships: Lilly Fellow at Carnegie Mellon University; NASA-ASEE Fellow; Senior Fulbright Fellow at Cambridge University; Fellow of the Advanced Systems Institute of British Columbia; Killam Fellow; Erskine Fellow at the University of Canterbury, New Zealand; Professorial Fellow at the University of Melbourne; and Peter Wall Scholar at the University of British Columbia.
Awards: Paynter Outstanding Investigator Award and Takahashi Education Award, ASME Dynamic Systems & Control Division; Killam Research Prize; Outstanding Engineering Educator Award, IEEE Canada; Lifetime Achievement Award, World Automation Congress; IEEE Third Millennium Medal; Meritorious Achievement Award, Association of Professional Engineers of BC; and Outstanding Contribution Award, IEEE Systems, Man, and Cybernetics Society. Also, he has made 48 keynote addresses at international conferences.
Editorial Duties: Served on journals, including IEEE Trans. Control System Technology, Journal of Dynamic Systems, Measurement and Control, Trans. ASME; IEEE ASME Trans. Mechatronics; Editor-in-Chief, International Journal of Mechatronic Systems and Control; Editor-in-Chief, International Journal of Control and Intelligent Systems; Editor-in-Chief, International Journal of Knowledge-Based Intelligent Engineering Systems; Senior Technical Editor, Measurements and Control; and Regional Editor, North America, Engineering Applications of Artificial Intelligence— IFAC International Journal.
Publications: 26 technical books, 19 edited books, 51 book chapters, over 300 journal articles, and a similar number of conference papers.
Recent Books: Modeling of Dynamic Systems—With Engineering Applications, Second Edition; Sensor Systems (Taylor & Francis/CRC Press, 2017); Sensors and Actuators: Engineering System Instrumentation (2nd Ed., Taylor & Francis/CRC Press, 2016); Mechanics of Materials (Taylor & Francis/CRC Press, 2014); Mechatronics: A Foundation Course (Taylor & Francis/ CRC, 2010); Modeling and Control of Engineering Systems (Taylor & Francis/CRC Press, 2009); Vibration: Fundamentals and Practice (2nd Ed., Taylor & Francis/CRC Press, 2007); Mechatronics; An Integrated Approach (Taylor & Francis/CRC Press, 2005).
Nimali Tennakoon received her Bachelor of Science in Engineering (Hons) degree in Mechanical Engineering from the University of Peradeniya (Sri Lanka) in 1993, and the M.Phil. degree in Materials and Manufacturing Engineering from Sheffield Hallam University (UK). She is a Chartered Engineer and a member of the Institute of Engineers Sri Lanka (IESL), a Member of IEEE, and a Member of SLAAS. She is presently a senior lecturer at the Open University of Sri Lanka (OUSL). Her current research interests are in soft robotics, finite element analysis, and multiaxial fatigue. Presently, she is the principal investigator in the Soft Robotics Research Group (SORRG) of OUSL. She has over 100 journal papers and conference papers.
