Theories of Failure Using Finite Element Analysis
Teacher
Mr.Sudheer Choudari
Category
Core Courses
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Course Name : Theories of Failure Using Finite Element Analysis
Code(Credit) : CUTM1062(2-2-0)
Course Syllabus
Course Objective
|
Course Outcome
| COs | Course Outcome | POs |
CO1 |
Students will have knowledge and practical engineering skills in analysis of mechanical strength of structures and load transmission elements and will be able to design them based on input data. |
Engineering knowledgePO1 (3), Design /development of solutions PO3 (3) |
CO2 |
Students will be able to deploy 3D Experience Platform to develop design solutions. |
Modern tool usage PO5 (3) |
CO3 |
Students will be able to apply the Concept of Meshing and Failure Criteria to Practical Problems which will lead Economical and safe in Design Aspect. |
The engineer and society PO6 (2), Environment and sustainability PO7 (2) |
Course content(46 Hrs)
Module I Introduction to Finite Element Analysis (FEA) and 3D Experience Platform - (4(T)+5(P)) –(9 Hours)
Introduction to FEA: Need for Studying FEA; Types of Analysis; Discretization of a Structure; Element Shapes, Nodes and Degrees of Freedom; Mesh Refining, Element Aspect Ratio, Use of Symmetry, Principle of Convergence; General Procedure of FEA.
Material failure Behaviour: Stress–Strain Diagrams for Ductile and Brittle Materials.
Equivalent stresses for varying orientations, Principal stresses, maximum shear stress, Mohr’s circles.
Practice:
1. Introduction to 3D Experience Platform: About the Apps and their Applications from Engineering Point of View.
2. Analysis of Steel Bridge – Simulation using 3D Experience Tool.
3. Tensile Test using Simulation 3D Experience Tool.
4. Stress Strain Curve of a Ductile Material (Mild Steel) using Universal Testing Machine
Module II Mesh Generation and Modeling of Truss Structure (1(T)+ 4(P) - (5 Hours)
Mesh Generation and Methods of Meshing and Types of Meshing. Procedure for selecting the method of meshing and type of meshing. Importance and application of Stiffness Matrix for different types of elements and the procedure for getting the results.
Practice:
5. 3D Experience Simulia – Modelling and Meshing of Transmission line tower.
Module III Stresses and Deflection Criteria: (5(T)+ 4(P) - (9 Hours)
Procedure for Drawing Shear Force and Bending Moment Diagrams, Point of Contra Flexure.
Stresses (No Derivation): Simple or Pure Bending, Flexure Formula, Section Modulus, Neutral Axis, Determination of Bending Stresses, Shear Stress Distribution for Different Sections.
Deflection : Equation of Elastic Curve, Direct Integration Method
Practice:
6. 3D Experience Simulia – Modelling and Finite Element Analysis of Framed Structure subjected Earthquake Loads.
Module IV: Theories of Failure: (2(T)+ 4(P) - (6 Hours)
Theories of Failure: Failure Under Biaxial Loading, Rankine’s Theory, Guest’s or Tresca’s Theory, Von Mises Theory, Graphical Representation of Failure, Safety Factors, Prevention of Failure in Design Stage, Diagnosis of Failure In Post-Manufacturing Stage.
Practice:
7. 3D Experience Simulia: Bicycle Frame Structural Analysis
Module V: Torsion: (3(T)+ 4(P) - (7 Hours)
Torsion: Torsion Equation, Design of Shafts, Power Transmitted by Shafts, Composite Shafts, Combined Bending and Torsion, Closed-Coiled Helical Springs, Spring Connected in Series and Parallel.
Dynamic Analysis: Fundamentals of Vibration; Evaluation of Natural Frequencies and Mode Shapes (Eigen values and Eigenvectors); Non-linear Analysis, Fatigue Analysis. Structures Subjected to Blast Loads.
Practice:
8. Simulation: Static and Dynamic Analysis of Shaft
Module VI Pressure Vessels (1(T)+ 2(P) - (3 Hours)
Longitudinal and Hoop Stress in Thin-walled Pressure Vessels Subjected to Internal Pressure.
Practice:
9. Simulation: Crack Analysis of Thin walled Pressure Vessels.
Module VII Fatigue and Fracture: (3(T)+ 4(P) - (7 Hours)
Fatigue: Failure Under Cyclic Loading, Endurance Limit. S-N Curve, Stress Concentration, Goodman and Soderberg Criteria.
Fracture: Types of Failure, Brittle and Ductile Fracture, Basic Modes of Fracture. Griffith’s Analysis, Crack Growth and Stress Intensity Factor.
10. Fatigue Analysis of Crankshaft of Two-Wheeler
Text Books:
1. Strength of Materials, S.S. Rattan, Tata Mc-Graw Hill Publication.
2. Advanced Mechanics of Materials, A.P. Boresi and R.J. Schmidt, Willey India
Reference Books:
1. Elements of Fracture mechanics, Prashant Kumar, McGraw Hill Education (India)
2. Engineering Mechanics of Solids, Egor P. Popov, Pearson publication
3. Strength of Materials, R.K.Bansal, Laxmi Publications.
Course outline Prepared by; Sudheer Choudari Date:7.6.2020
Source of reference:
1. NPTEL, Udemy, 3D Experience Tools.
2. Link1 - Edx Course
3. Link2 - Edx Course
4. Practical Introduction and Basics of Finite Element Analysis
Session Plan
Session 1
Introduction to Finite Element Analysis: Need for Studying FEA; Types of Analysis; Discretization of a Structure; Element Shapes, Nodes, Degrees of Freedom; Mesh Refining, Element Aspect Ratio, Use of Symmetry, Principle of Convergence;
Introduction to Finite Element Analysis - PDF
Finite Element Analysis Definition - Video
St Venant’s principle - Video
Principle of FEA - Video
Session 2
Procedure for Finite Element Method
Steps involved in FEM - PDF
Practice:
1. Introduction to 3D Experience Platform: About the Apps and their Applications from Engineering Point of View.
Session 4
Practice :
2. Stress Strain Curve of a Ductile Material (Mild Steel) using Universal Testing Machine
Session 5
Practice:
3. Tensile Test using Simulation 3D Experience Tool.
Reference:
1. Tensile Test - Part1 - Video
2. Tensile Test - Part2 - Video
Session 6
Practice:
3. Tensile Test using Simulation 3D Experience Tool. (Cont..)
Reference:
1. Tensile Test - Part3 - Video
2. Tensile Test - Part4 - Video
Session 7
Equivalent stresses for varying orientations, Principal stresses, maximum shear stress, Mohr’s circle.
Session 8
Practice:
4. Analysis of Steel Bridge – Simulation using 3D Experience Tool.
Reference:
1. Simulia Video
Session 9
Practice:
4. Analysis of Steel Bridge – Simulation using 3D Experience Tool(Cont..).
Reference:
1. Simulia Video
Session 10
Module II Mesh Generation and Modeling of Truss Structure:
Mesh Generation and Methods of Meshing and Types of Meshing. Procedure for selecting the method of meshing and type of meshing. Importance and application of Stiffness Matrix for different types of elements and the procedure for getting the results.
FEA Mesh Generation(Theory)-PDF
How to apply different types of mesh - Video
Meshing Techniques - Video
Session 11 and 12
Practice:
5. 3D Experience Simulia – Modelling and Meshing of Transmission line tower.
Session 13 and 14
Practice:
5. 3D Experience Simulia – Modelling and Meshing of Transmission line tower.
sample truss load BC and mesh
Space Truss Analysis - Video
Session 15
Module III Stresses and Deflection Criteria:
Procedure for Drawing Shear Force and Bending Moment Diagrams, Point of Contra Flexure.
Shear Force and Bending Moment Diagrams - Practical Examples - PDF
Understanding Shear Force and Bending Moment Diagrams-Video
Bending Moment Model- video
Session 16 and 17
Stresses (No Derivation): Simple or Pure Bending, Flexure Formula, Section Modulus, Neutral Axis, Determination of Bending Stresses.
Pure Bending - Theory(PDF)
What is Theory of Pure Bending? - Video
Pure Bending - Video
Session 18
Shear Stress Distribution for Different Sections.
Shear Stress - PDF
Shear Stress Distribution Diagram for Hollow Rectangular Section-Video
Problem on Shear Stress in I Section Beam-Video
Session 19
Deflection : Equation of Elastic Curve, Direct Integration Method.
Beam Deflections - PDF
Definition of Slope and Deflection - Video
Double Integration Method-Video
Session 20 and 21
Practice:
6. 3D Experience Simulia – Modelling and Finite Element Analysis of Framed Structure subjected Earthquake Loads.
Framed Reinforced Concrete Multi-Storey Structure Under Earthquake- Video
Session 22 and 23
Practice:
6. 3D Experience Simulia – Modelling and Finite Element Analysis of Framed Structure subjected Earthquake Loads.
Framed Reinforced Concrete Multi-Storey Structure Under Earthquake- Video
Session 24
Module IV: Theories of Failure:
Theories of Failure: Failure Under Biaxial Loading, Rankine’s Theory, Guest’s or Tresca’s Theory, Von Mises Theory.
Session 25
Graphical Representation of Failure, Safety Factors, Prevention of Failure in Design Stage, Diagnosis of Failure In Post-Manufacturing Stage.
Graphical Representation of Theories of Failure - Video
Diagnosis of Failure in Post- Manufacturing Stage - Video
Session 26 and 27
Session 28 and 29
Practice:
Continuation:
7. 3D Experience Simulia: Bicycle Frame Structural Analysis
Session 30
Module V: Torsion:
Torsion: Torsion Equation, Design of Shafts, Power Transmitted by Shafts, Composite Shafts, Combined Bending and Torsion, Closed-Coiled Helical Springs, Spring Connected in Series and Parallel.
Torsion Concept - PDF
Torsion in circular Shaft- Video
Springs-Video
Session 31 and 32
Dynamic Analysis: Fundamentals of Vibration; Evaluation of Natural Frequencies and Mode Shapes (Eigen values and Eigenvectors); Non-linear Analysis, Fatigue Analysis. Structures Subjected to Blast Loads.
Dynamic Analysis - Video
Dynamic Analysis - Pdf
Session 33 and 34
Practice:
8. Simulation: Static and Dynamic Analysis of Shaft
Fundamental understanding of Static,Modal and Dynamic Analysis- Video
Analysis of Shaft - Video
Session 35 and 36
Practice:
Continuation....
8. Simulation: Static and Dynamic Analysis of Shaft
Session 37
Module VI Pressure Vessels
Longitudinal and Hoop Stress in Thin-walled Pressure Vessels Subjected to Internal Pressure.
Thin walled pressure vessels- Video
Session 38 and 39
Practice:
9. Simulation: Crack Analysis of Thin walled Pressure Vessels.
Hope and Radial Stress in a cylinder - Video
Session 40
Module VII Fatigue and Fracture:
Fatigue: Failure Under Cyclic Loading, Endurance Limit. S-N Curve, Stress Concentration, Goodman and Soderberg Criteria.
Fatigue Concept - Video
Session 41 and 42
Fracture: Types of Failure, Brittle and Ductile Fracture, Basic Modes of Fracture. Griffith’s Analysis, Crack Growth and Stress Intensity Factor.
Session 43 and 44
Practice:
10. Fatigue Analysis of Crankshaft of Two-Wheeler
Session 45 and 46
Practice:
10. Fatigue Analysis of Crankshaft of Two-Wheeler
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Structural Analysis · Earthquake Engineering · Structural Dynamics