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

  • To educate the students on basic theories behind mechanics of solids.
  • To educate the students on Finite Element Analysis concept applicable to Practical conditions.
  • To educate the students on Failure Criterion which will be useful for designing Practical problems.
  • To educate the students on using 3D Experience Tools for analysis of various mechanical structures and load transmitting elements.

 

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 3

Stress–Strain Diagrams for Ductile and Brittle Materials

Stress Strain - Session 3(PDF)

Stress - Strain Diagram(Video)
Material Properties(Video)

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.

Space Truss Analysis - Video

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 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.

Theories of Failure Concept - Video

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

Practice:

7. 3D Experience Simulia: Bicycle Frame Structural Analysis

Bicycle Frame Analysis- Video

Session 28 and 29

Practice:
Continuation:
7. 3D Experience Simulia: Bicycle Frame Structural Analysis

Bicycle Frame Analysis- Video

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

Blast resistant on structures - Code-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

Analysis of Shaft - Video

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.

Fracture - Video

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

Our Main Teachers

Having 6 and Half Years of Teaching and One and Half years of Industry Experience.

Structural Analysis · Earthquake Engineering · Structural Dynamics