Theories of Failure Using Finite Element Analysis

Teacher

Mr.Sudheer Choudari

Category

Core Courses

Course Attendees

Still no participant

Course Reviews

Still no reviews

Course Name : Theories of Failure Using Finite Element Analysis

Code(Credit) : CUTM1062(2-2-0)

Course Objectives

  • To educate the students on basic theories behind mechanics of
  • To educate the students on Finite Element Analysis concept applicable to Practical
  • To educate the students on using 3D Experience Tools for analysis of various mechanical structures and load transmitting elements.

Learning Outcomes

After the completion of the course, the students will be able to:

    • CO1: Gain knowledge on basic theory and practical engineering skills strength analysis and load transmission of elements
    • CO2: Apply the basic principles of failure criteria to practical problems
    • CO3: Deploy 3D experience platform to develop design solutions
    • CO4 : Analyze the performance of various practical problems based on input data
    • CO5: Create simulation scenario for static and dynamic structural analysis

CO - PO - MATRIX

*High-3, Medium-2, Low-1

Course Syllabus

Course Syllabus:

 

Module I: Introduction to Finite Element Analysis (FEA) (13 Hours)

Theory

Introduction to FEA: Need for Studying FEA; Types of Analysis; Types of Elements and Nodes; Discretization, Mesh Refining, Element Aspect Ratio, Use of Symmetry, Principle of Convergence; Stiffness Matrix for Different Types of Elements, General Procedure of FEA, FEA Application to Axially Loaded Bars.

Practice

Experiment 1: Introduction to SIMULIA- 3D Experience Platforming FEA Simulation Setup- Assigning Materials to 3d Models, Generating Output parameters for strength calculations.

Link: Structural Scenario Creation in 3DEXP | Simulation | FEA | https://youtu.be/kAkbqeEllxg

Experiment 2: Performing a Tensile Test Simulation for 3D circular bar (ASTM Standard Mild Steel Specimen).

Link: Linear Static Analysis of a Bracket Part Using Structural Designer SIMULIA App. https://youtu.be/12vJCeMqYms

Module II: Simple and Complex Stress System (12 Hours) Theory

Simple Stress System: Types of Stresses and Strains, Hooke’s Law, Elastic Constants, Stress–strain Diagrams for Ductile and Brittle Materials, Bars of Varying Cross- sections.

Complex Stress System: Stresses on Inclined Planes, Principal Planes and Principal Stresses, Maximum Shear Stress, Mohr’s Circle of Stress.

Practice

Experiment 3: Stress-Strain Curve of a Ductile Material (ASTM Standard Mild Steel Specimen) using Universal Testing Machine

Experiment 4: Performing Mohr’s Circle of Stress.

Link: https://youtu.be/KgLXhOYWmxk

Module III: Beam Analysis (12 Hours) Theory

Shear Force and Bending Moment: Types of Supports, Beams and Loading, Procedure for Drawing Shear Force and Bending Moment Diagrams, Point of Contra-flexure.

Bending Stresses (No Derivation): Simple or Pure Bending, Flexure Formula, Section Modulus, Neutral Axis, Bending and Shear Stresses Distribution.

Practice

Experiment 5: Performing Shear force bending moment diagram considering Point loads and UDL for 3D simulation of cantilever beam.

Link: https://youtu.be/yG_0c-fz5Xs

Experiment 6: Performing Shear force bending moment diagram considering Point loads and  UDL for 3D simulation of simple supported beam.

Link: https://youtu.be/8k0IFA4inrc

Module IV: Deflection in Beam (12 Hours) Theory

Deflection in Beams (No Derivation): Equation of Elastic Curve, Calculation of Slope and Deflection by Direct Integration Method and Moment Area Method.

Practice

Experiment 7: Static simulation of loaded beams. Module V: Theories of Failure (12 Hours) Theory

Theories of Failure: Failure Under Biaxial Loading, Different theories of failure, Graphical Representation of Failure, Safety Factors, Prevention of Failure in Design Stage.

Fatigue Failure: Failure under Cyclic Loading, Endurance Limit, S-N Curve, Stress Concentration.

Practice

Experiment 8: 3D simulation of Bicycle Frame Structural Analysis

Experiment 9: 3D simulation of Fatigue Analysis of Crankshaft of Two-Wheeler

Module VI: Torsion and Thin Shell Theory (12 Hours)

Torsion (No Derivation): Torsion Equation, Power Transmitted by Shafts, Closed-Coiled Helical Springs.

Thin Pressure Vessels: Thin Cylindrical and Spherical Vessel Subjected to Internal Pressure, Longitudinal and Hoop Stress, Change in Dimensions due to Internal Pressure.

Practice:

Experiment 9: 3D simulation of Torsion Analysis of Shaft Experiment 10: Failure Analysis of Thin-walled Pressure Vessels.

Module VII: Column Analysis (7 Hours)

Columns and Struts: Failure of Column, End Conditions and Equivalent Length, Euler’s Column Theory, Rankine’s Formula, Slenderness Ratio.

Practice: Experiment 11: Simulation of Buckling/Column Analysis of Structural Components

Text Books:

  1. Strength of Materials, K. Bansal, Laxmi Publications.
  2. Finite Element Analysis, S. Bhavikatti, New Age international Publishers

Reference Books:

  1. Fundamentals of Finite Element Analysis, David Hutton, McGraw Hill Higher Education

2. Engineering Mechanics of Solids, Egor P. Popov, Pearson publication

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

Case Studies

Case Studies

Our Main Teachers

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