
Mechanics of Materials
Description
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Persons
Hongyan MA is professor from the Department of engineering mechanics, Dalian University of Technology. He has a strong expertise in teaching and research in the field of engineering mechanics.
MEI Yue:
Yue MEI is professor from the Department of engineering mechanics, Dalian University of Technology. He has a strong expertise in teaching and research in the field of engineering mechanics.
MARMYSH Dzianis:
Dzianis MARMYSH is associate professor at Department of Theoretical and Applied Mechanics, Belarusian State University, and has a strong expertise in teaching and research in the field of engineering mechanics.JI Shunying:
Shunying JI is professor from the Department of engineering mechanics, Dalian University of Technology. He has a strong expertise in teaching and research in the field of engineering mechanics.
Content
- Intro
- Mechanics of Materials
- Contents
- Introduction to Mechanics of Materials
- Introduction
- Strength, Stiffness, and Stability
- Research Objects of Mechanics of Materials
- Basic Assumptions of Mechanics of Materials
- Assumption of Continuity
- Assumption of Homogeneity
- Assumption of Isotropy
- Assumption of Infinitesimal Deformation
- External Force, Internal Force and Stress
- External Force
- Internal Force and Method of Section
- Stress
- Displacement, Deformation, and Strain
- Displacement and Deformation
- Strain
- Basic Patterns of Deformation of Prismatic Bar
- Axial Tension and Compression
- Shear
- Torsion
- Bending
- Axial Tension and Compression
- Introduction
- Axial Forces and Axial Force Diagrams
- Normal Force
- Axial Force Diagram
- Stress in an Axially Loaded Bar
- Stresses on Cross Section
- Stresses on Oblique Section
- Saint-Venant Principle
- Mechanical Behaviour of Materials Under Tension and Compression
- Introduction of Tensile and Compressive Tests
- Mechanical Behaviour of Materials Under Tension
- Mechanical Behaviour of Materials Under Compression
- Mechanical Properties of Low Carbon Steel Under Compression
- Mechanical Properties of Cast Iron in Compression
- Strength Condition of Axially Loaded Bar
- Deformation of Axially Loaded Bar
- Statically Indeterminate Problems of Axial Tension and Compression
- Analysis of Statically Indeterminate Problem in Tension and Compression
- Assembly Stress
- Thermal Stress
- Stress Concentration
- Shearing in Connections
- Introduction
- Strength Check of Shearing Deformation in Connections
- Strength Check of Bearing Deformation
- Torsion
- Introduction
- Internal Torque and Internal Torque Diagram
- Twisting Couple on a Transmission Shaft
- Internal Torque and Torque Diagrams
- Pure Shear, Shearing Stress, Hooke's Law in Shear Situations
- Shear Stress on Cross Sections of a Thin-Walled Tube Induced by Torsion
- Shearing Stress
- Hooke's Law in Shearing
- Shear Stress in a Circular Shaft
- Calculation of Shear Stress
- Stress on Oblique Plane of a Circular Shaft Subjected to Torsion
- Strength Design
- Torsional Deformation of a Circular Shaft and Stiffness Design
- Torsional Deformation of a Circular Shaft
- Stiffness Design
- Statically Indeterminate Shaft in Torsion
- The Strength of Helical Springs
- Torsion of Noncircular Shafts
- Free Torsion and Restrained Torsion
- Rectangular Shaft in Torsion
- Bending
- Introduction
- Bending
- Boundary Supports of Beams
- Basic Types of Beams
- Shear Force and Bending Moment
- Shear Force Diagram and Bending Moment Diagram
- Relationships Between Shear Forces, Bending Moments and External Loads
- Differential Relations Among Shear Force, Bending Moments and External Loads
- Draw the Shear Force and the Bending Moment Diagram According to Differential Relations
- Draw Bending Moment Diagram by the Principle of Superposition
- Internal Forces in Plane Frames and Curved Beams
- Internal Forces of Plane Frame
- Internal Force of Curved Beams
- Bending Stress
- Introduction
- Bending Normal Stress
- Geometric Aspects
- Physical Law
- Statics
- Bending Normal Stress
- Normal Stress in Transverse Bending
- Shear Stress in Bending
- Shear Stress of the Beam with Rectangular Cross Section
- Shear Stress of a Beam with I-Shape Cross Section
- Shear Stress of a Beam with Circular and Circular Tubular Cross Section
- Magnitude of Normal Stress and Shear Stress in Transverse Bending
- Effects of Shear Stress on Normal Stress in Transverse Bending
- Strength Condition of the Beam
- Strength Condition of Normal Stress
- Strength Condition of Shear Stress
- Plane Bending and Bending Centre of Asymmetric Section Beams
- Measures to Increase the Bending Strength of Beams
- Selection of an Optimal Cross Section
- Tapered Beams and Beams of Uniform Strength
- Rearrange the External Loading of the Beam
- Bending Deformation
- Introduction
- Approximated Differential Equation of Deflection Curve
- Calculation of Beam Deformation by the Integral Method
- Calculate the Displacement of Beams by the Principle of Superposition
- Stiffness Condition and Design of Beams
- Stiffness Condition of Beam
- Approaches to Improve Bending Stiffness
- Simple Statically Indeterminate Beams
- State of Stress and Strength Theory
- Introduction
- Concept of State of Stress
- General Description of State of Stress
- Strength Theory
- Plane State of Stress Analysis
- Stress on Any Oblique Plane
- Principal Plane
- Principal Stress
- Extreme Shear Stress
- Stress Circles in the State of Plane Stress
- Maximum Stress in the Three-Dimensional State of Stress
- Generalized Hooke's Law
- Mathematical Formulation of the Generalized Hooke's Law
- Volumetric Strain
- Strain Energy and Distortion Energy
- Strain Energy and Strain Energy Density
- Dilatational Strain Energy Density and Distortion Energy Density
- Four Commonly Used Classical Strength Theories
- Strength Theory on Brittle Fracture
- Strength Theory of Plastic Yield
- Combined Deformation
- Introduction
- Unsymmetric Bending
- Combination of Tension (or Compression) and Bending
- Eccentric Load and Core of Section
- Strength Calculation of an Eccentric Axially Loaded Bar
- Core of Section
- Combination of Bending and Torsion
- Stability of Compressive Columns
- Introduction
- Critical Force of Slender Compressive Columns and Euler's Formula
- Critical Force of a Column Hinged at Both Ends
- Critical Force of the Compressive Columns with Other Types of Boundary Conditions
- General Form of Euler's Formula
- Application Scope of the Euler's Formula
- Critical Force and Critical Stress of the Column with Medium or Small Slenderness Ratio
- Stability Check of Compressive Columns
- Methods to Improve the Stability of Compressive Columns
- Select a Proper Section Shape
- Change the Constraints of Compressive Columns
- Reasonably Select Materials
- Energy Method
- Introduction
- External Work Done and Strain Energy
- The External Work Done
- Strain Energy of Member
- Strain Energy Density
- Castigliano's Theorem
- Complementary Work and Complementary Strain Energy
- Introduction of Castigliano's Theorem
- Calculation of the Displacement by Castigliano's Theorem
- Principle of Virtual Work on a Deformable Body
- Unit Load Method
- Introduction of Unit Load Method
- Mohr Integral
- Graph Multiplication Method
- Reciprocal Theorem
- Maxwell-Betti Reciprocal Work Theorem
- Theorem of Reciprocal Displacements
- Statically Indeterminate Structures
- Introduction
- Force Method and General Equation of the Force Method
- Basic Unknown Variables, the Equivalent Statically Determinate System
- General Formulation of the Force Method
- Solution to Externally Statically Indeterminate Problem
- Solution to Internally Statically Indeterminate Problem
- Symmetric Statically Indeterminate Structure
- Dynamic Loads
- Introduction
- Stress and Strain of Members Under Motion with a Constant Acceleration
- Stress of Members in a Uniformly Accelerated Motion
- Stresses and Deformations of Members in a Uniform Circular Motion
- Stress and Deformation Under Impact
- Measures to Improve the Capability of Resisting Impact
- Fatigue
- Introduction
- Alternating Stress
- Fatigue
- Endurance Limit
- The Endurance Limit of Materials
- The Endurance Limit of a Member
- The Fatigue Strength Check of Structures Under Symmetric Cycling Loads
- The Fatigue Strength Check of Structures Under Asymmetric Cycling Loads
- Measures to Improve the Fatigue Strength
- Appendix I Geometric Properties of a CrossSection
- A1.1 First Moment
- A1.1.1 First Moment and Centroid
- A1.1.2 First Moment and Centroid of a Composite Area
- A1.2 Moment of Inertia and Product Moment of Inertia
- A1.3 Parallel-Axis Theorem
- A1.4 Rotation of Axes and Principal Axes
- A1.4.1 The Rotation of Axes
- A1.4.2 Principal Axes and Principal Moments of Inertia
- A1.5 Principal Centroidal Moments of Inertia of Composite Areas
- Appendix A2 Cross-Sectional Properties of Shapes of Steel
- Appendix A3 Mechanical Properties of Materials
- Appendix A4 Geometric Properties of Plane
- References
- Answers to Problems
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