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Mechanics of Materials , Theories of Failure and Fatigue Design
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Introduction
What is Machine Design
Generic Engineering Design Process
Two Domains of Machine Design
Three Paradigms of Machine or Mechanical Design
Importance of Strength
Generic Procedure for Analysis for Strength
Free body Diagram
Force and Moment Equilibrium
Free Body diagram Examples
Degrees of Freedom and Joints
Summary of FBD and Method of statics
Two Primary type of Loading
Example of Normal and Shear Loading
What is Normal Stress
Normal Strain
Shear Stress - Single Shear
Shear Stress - Double Shear
Examples of Application of Normal and shear
What is Bearing Stress
Stress vs Strain diagram - Tensile Test
Stress vs Strain Explanation
Elastic vs Plastic Region
Hookes laws and Young Modulus
Ductility and Brittle materials
Brittle materials Stress- strain plot
Shear Stress in Shafts
Torque - Twist diagram
Poissons Ratio and relation between Moduli
Analysis of Axially Loaded member- Deflection
Stress Concentration Factor- Axial Tensile
Uncertainties
Sources of Uncertainties
Factor Of Safety
Selection of Appropriate FOS
Stress in Oblique plan of Uniaxial loaded member
Intro to bending
Governing equation - Moment
Bending geometry - deformation and strain Part 1
Bending geometry- deformation ,strain and stress Part 2
Relation between Centroid of section and Neutral axis
Relation between Moment and stress
Area Moment of Inertia
The Flexural Formula and Sign convention
Curvature Relation
Introduction to Analysis of Beams
Real life example of Beams
Types of Loadings on Beams
Importance of Moment of Inertia
Analysis of Centrally loaded Simply supported beam - Intro
Finding Reactions
Shear force and Bending moment diagrams- Part 1
Shear force and Bending moment diagrams - Part 2
Calculating Moment of Inertia and Stress - Summary
Cantilever Beam with UDL Part 1
Cantilever Beam with UDL Part 2
Two plane Bending
Stress Concentration in Beams
Governing Equation - Torsion
Analysis for Twist
Finding Equation for Shear Strain
Finding Equation for Shear Stress
Elastic Torsion Formulae
Polar moment of Inertia
Angle of Twist
Application - examples
Solid vs Hollow shafts
Stress concentration in Shafts
Normal stress and strain in Multi Axial Loading
Dilatation
Bulk Modulus
Shear Stress and Strain in Multi axial Loading
State of Stress
Plane Stress
Thin Walled Pressure vessel
Stress Transformations - Intro
Stress Transformation - Derivation
Simplifying Normal stress and Shear stress equations
Finding "y" component of stress
Simplified Form
Mohrs Circle of Stress
Definition of Principal Stresses
Orientation at which Principal stress occur
Maximum Shear Stress
Orientation at which Max Shear stress occur
Orientation of Principal stress v Max shear stress
Introduction
What is Mechanical Failure ? What are theories of failure?
Failure criteria and importance of Principal stresses
Definition of Prinicipal stresses
Mohrs circle and formulae for principal stresses
3D General State of Stress
Principal stresses in 3D general state of stress
Maximum Shear stress theory- introduction
Criteria for Failure according to MSS
Cases in Max shear stress theory
Strain energy
Strain energy density
Strain energy density in Shear
Strain energy in general state of stress
Maximum Distortion Energy theory
Finding the Distortion Energy component
Criteria for Max Distortion Energy theory
Definition of Von Mises Stress and comparison with Maximum shear stress Theory
Mohrs criterion for ductile materials
Mohrs criteria- envelope derivation
Mohr coulumb theory of failure
Cases in Mohr coulumb theory of failure
Brittle Coulumb mohr theory
Maximum principal stress theory for brittle materials and its drawback
Selecting Failure theory in design practice
Limitations of traditional mechanics methods in design
What is Fatigue failure?
Types of loadings - static and dynamic
Stages leading to fatigue failure
Modes of Fracture
Generic Factors which affect fatigue
Important checkpoints in fracture mechanics study
Fracture toughness material property
Approach to fatigue problems
Fatigue Life method, RR moore test , S-N diagram
Plotting and Deciphering the S-N curve
Typical values of Endurance and Fatigue strength
Modifying factors for Endurance limit/strength
Surface modification factor
Size modification factor
Loading factor
Temperature factor
Reliability factor
Stress concentration Factor - for Statics study
Fatigue stress concentration factor
Some points on Designing with Fatigue
Fluctuating stress types, mean and amplitude stress
Goodman diagram and other criteria with factor of safety
Introduction - Mechanics of Materials
Introduction
What is Machine Design
Generic Engineering Design Process
Two Domains of Machine Design
Three Paradigms of Machine or Mechanical Design
Basic Concepts - Mechanics of Materials
Importance of Strength
Generic Procedure for Analysis for Strength
Free body Diagram
Force and Moment Equilibrium
Free Body diagram Examples
Degrees of Freedom and Joints
Summary of FBD and Method of statics
Two Primary type of Loading
Example of Normal and Shear Loading
What is Normal Stress
Normal Strain
Shear Stress - Single Shear
Shear Stress - Double Shear
Examples of Application of Normal and shear
What is Bearing Stress
Stress- Strain Diagram
Stress vs Strain diagram - Tensile Test
Stress vs Strain Explanation
Elastic vs Plastic Region
Hookes laws and Young Modulus
Ductility and Brittle materials
Brittle materials Stress- strain plot
Shear Stress in Shafts
Torque - Twist diagram
Poissons Ratio and relation between Moduli
Analysis of Axially Loaded member- Deflection
Stress Concentration Factor- Axial Tensile
Factor Of Safety
Uncertainties
Sources of Uncertainties
Factor Of Safety
Selection of Appropriate FOS
Stress in Oblique plane
Stress in Oblique plan of Uniaxial loaded member
Pure Bending
Intro to bending
Governing equation - Moment
Bending geometry - deformation and strain Part 1
Bending geometry- deformation ,strain and stress Part 2
Relation between Centroid of section and Neutral axis
Relation between Moment and stress
Area Moment of Inertia
The Flexural Formula and Sign convention
Curvature Relation
Introduction to Analysis of Beams
Real life example of Beams
Types of Loadings on Beams
Importance of Moment of Inertia
Analysis of Centrally loaded Simply supported beam - Intro
Finding Reactions
Shear force and Bending moment diagrams- Part 1
Shear force and Bending moment diagrams - Part 2
Calculating Moment of Inertia and Stress - Summary
Cantilever Beam with UDL Part 1
Cantilever Beam with UDL Part 2
Two plane Bending
Stress Concentration in Beams
Torsion
Governing Equation - Torsion
Analysis for Twist
Finding Equation for Shear Strain
Finding Equation for Shear Stress
Elastic Torsion Formulae
Polar moment of Inertia
Angle of Twist
Application - examples
Solid vs Hollow shafts
Stress concentration in Shafts
Multi Axial Loading
Normal stress and strain in Multi Axial Loading
Dilatation
Bulk Modulus
Shear Stress and Strain in Multi axial Loading
State of Stress and Stress Transformations
State of Stress
Plane Stress
Thin Walled Pressure vessel
Stress Transformations - Intro
Stress Transformation - Derivation
Simplifying Normal stress and Shear stress equations
Finding "y" component of stress
Simplified Form
Mohrs Circle of Stress
Definition of Principal Stresses
Orientation at which Principal stress occur
Maximum Shear Stress
Orientation at which Max Shear stress occur
Orientation of Principal stress v Max shear stress
Introduction to Theories of Failure
Introduction
What is Mechanical Failure ? What are theories of failure?
Failure criteria and importance of Principal stresses
Preview
Definition of Prinicipal stresses
Mohrs circle and formulae for principal stresses
3D General State of Stress
Principal stresses in 3D general state of stress
Maximum Shear Stress theory
Maximum Shear stress theory- introduction
Criteria for Failure according to MSS
Cases in Max shear stress theory
Maximum Distortion Energy theory
Strain energy
Strain energy density
Strain energy density in Shear
Strain energy in general state of stress
Maximum Distortion Energy theory
Finding the Distortion Energy component
Criteria for Max Distortion Energy theory
Definition of Von Mises Stress and comparison with Maximum shear stress Theory
Mohrs Criteria for Failure
Mohrs criterion for ductile materials
Mohrs criteria- envelope derivation
Preview
Mohr coulumb theory of failure
Cases in Mohr coulumb theory of failure
Brittle Coulumb mohr theory
Maximum principal stress theory for brittle materials and its drawback
Selecting Failure theory in design practice
Fatigue
Limitations of traditional mechanics methods in design
What is Fatigue failure?
Types of loadings - static and dynamic
Stages leading to fatigue failure
Modes of Fracture
Generic Factors which affect fatigue
Important checkpoints in fracture mechanics study
Fracture toughness material property
Design for Fatigue
Approach to fatigue problems
Fatigue Life method, RR moore test , S-N diagram
Plotting and Deciphering the S-N curve
Typical values of Endurance and Fatigue strength
Modifying factors for Endurance limit/strength
Surface modification factor
Size modification factor
Loading factor
Temperature factor
Reliability factor
Stress concentration Factor - for Statics study
Fatigue stress concentration factor
Some points on Designing with Fatigue
Fatigue failure criteria
Fluctuating stress types, mean and amplitude stress
Goodman diagram and other criteria with factor of safety
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