This course is to provide students with a clear and thorough presentation of both the theory and application of the fundamental principles of material mechanics. Understanding is based on an explanation of the physical behavior of material under load and then modeling this behavior to develop the theory. Emphasis is placed on the importance of satisfying equilibrium, compatibility of deformation, and material behavior requirements. After completing this course, a student should be able to design components to meet desired needs in terms of strength and deformation, foster effective mathematical and graphical communication skills, and cultivate ethical engineering decisions.
Overview
Syllabus
- Chapter 1 Stress
- 1.1 Introduction of the course
- 1.2 Equilibrium of a deformable body-How to determine the internal resultant loadings
- 1.3 Stress
- 1.4 Allowable stress
- 1.5 Lecture note: Chapter 1 Stress
- 1.6 Supplementary teaching materials
- 1.7 Example explanation videos
- Chapter 2 Strain
- 2.1 Deformation and strain
- 2.2 Lecture note: Chapter 2 Strain
- 2.3 Supplementary teaching materials-An Introduction to Stress and Strain
- 2.4 Example explanation videos
- Chapter 3 Mechanical Properties of Materials
- 3.1 The Tension and Compression Test
- 3.2 The Stress–Strain Diagram
- 3.3 Mechanical behavior of deformable solids
- 3.4 Lecture notes-Chapter 3 Mechanical Properties of Materials
- 3.5 Supplementary teaching materials
- 3.6 Example explanation videos
- Chapter 4 Axial Load
- 4.1 Saint-Venant’s Principle
- 4.2 Elastic Deformation of an Axially Loaded Member
- 4.3 Principle of Superposition
- 4.4 Statically Indeterminate Axially Loaded Member
- 4.5 Thermal Stress
- 4.6 Stress Concentrations
- 4.7 Lecture note: Chapter 4 Axial Load
- 4.8 Example explanation videos
- Chapter 5 Torsion
- 5.1 Torsional Deformation of a Circular Shaft
- 5.2 The Torsion Formula
- 5.3 Angle of Twist
- 5.4 Statically Indeterminate Torque-Loaded Members
- 5.5 Lecture note: Chapter 5 Torsion
- 5.6 Supplementary teaching materials
- 5.7 Example explanation videos
- Chapter 6 Bending
- 6.1 Shear and Moment Diagrams
- 6.2 Graphical Method for Constructing Shear and Moment Diagrams
- 6.3 Bending Deformation of a Straight Member
- 6.4 The Flexure Formula
- 6.5 Unsymmetric Bending
- 6.6 Lecture note: Chapter 6 Bending
- 6.7 Supplementary teaching materials
- 6.8 Example explanation videos
- Chapter 7 Transverse Shear
- 7.1 Shear in Straight Members and 7.2 The Shear Formula-1
- 7.2 The Shear Formula-2
- 7.3 Shear Flow in Built-Up Member
- 7.4 Shear Flow in Thin-Walled Members
- 7.5 Lecture note: Chapter 7 Transverse Shear
- 7.6 Supplementary teaching materials
- 7.7 Example explanation videos
- Chapter 8 Combined Loadings
- 8.1 Thin-Walled Pressure Vessels
- 8.2 State of Stress Caused by Combined Loadings
- 8.3 Lecture note: Chapter 8 Combined loadings
- 8.4 Example explanation videos
- Chapter 9 Stress Transformation
- 9.1 Plane-Stress Transformation
- 9.2 General Equations of Plane-Stress Transformation
- 9.3 Principal Stresses and Maximum In-Plane Shear Stress
- 9.4 Mohr’s Circle-Plane Stress
- 9.5 Absolute Maximum Shear Stress
- 9.6 Lecture note: Chapter 9 Stress Transformation
- 9.7 Supplementary teaching materials
- 9.8 Example explanation videos
- Chapter 10 Deflection of Beams and Shafts
- 10.1 The Elastic Curve
- 10.2 Slope and Displacement by Integration
- 10.3 Method of Superposition and Statically Indeterminate Beams and Shafts-Method of Superposition
- 10.4 Lecture note: Chapter 10 Deflection of Beams and Shafts
- 10.5 Supplementary teaching materials
- 10.6 Example explanation videos
- Chapter 11 Buckling of Columns
- 11.1 Critical Load
- 11.2 Ideal Column with Pin Supports
- 11.3 Columns Having Various Types of Supports
- 11.5 Lecture note: Chapter 11 Buckling of Column
- 11.4 Columns for Eccentric Loading
- Final Examination
Taught by
Liu Liu
