Applied Structural Mechanics Course Curriculum

1.1 Introduction

1.4 Applied Calculus

1.5 vector algebra

1.6 Vector product

1.7 How to identify a Right-Handed coordinate system

1.8 Vector differentiation

1.9 Transformation

1.10 Eigen values and Eigen vectors

1.11 Engineering Curves

1.12 Concept of gradient

1.13 Lagrangian Multipliers

1-14-Optimization

1.15 Fourier Series and Transforms

1.16 Routine Engineering Calculations

Typical Mechanical Load Sources

Situation 2: Equivalent Stiffness of a Triangular Spring Arrangement

Situation 3: Force Required to Topple a Wooden Block

Situation 4: Torsional Load Capacity – Interference Fit

Application 1: Automotive Breaking Force Analysis

Application 2: Practical Application – Rolling Friction

Application 4: Practical Application – Slider Crank Mechanics

Application 5: Large Rotating Drum with Dynamic Unbalance

Method, General Forces & Their Directions

Equilibrium on a Rotating Incline

Mini_Project 2: Ramp Mechanism in Material Handling

Mini_Project 3: Crane Cable Force Analysis

Mini_Project 4: Structural Beam Support Forces

Mini_Project 5: Spring-Supported Beam Mechanics

Mega_Project 2: Support Structure Stability

2.1 Introduction

2.4 Units and Dimensions

2.5 Equations of Motion

2.6 Newton’s Laws of Motion

2.7 Friction

2.8 Curvilinear Motion

2.9 Gyroscopic Couple

2.10 Free Body Diagram

Circular Motion

Energy & Work Done

Equations of Motion

Projectile Motion

Mass Moment of Inertia

Parallel Axis Theorem

Perpendicular Axis Theorem

MMOI Summary

Pure Rolling

Rolling on an Inclined Plane

Application 2: Deriving Principal Inertias for a Cuboid

Application 3: Comparing Coriolis & Centrifugal forces on a Vehicle travelling along the equator.

Develop Basic Rules for RBD Situations

Working of a Typical Spool (Compressor Turbine Stage)

Mini_Project 2: Curve Dynamics in Particle Motion

Mini_Project 3: Dynamics of a Rotating System

Mini_Project 5: Rotational Energy Analysis

Mega_Project 2: Energy Lost due to Friction – Rotating Discs

2.1 Introduction

2.4 Units and Dimensions

2.5 Equations of Motion

2.6 Newton’s Laws of Motion

2.7 Friction

2.8 Curvilinear Motion

2.9 Gyroscopic Couple

2.10 Free Body Diagram

Introduction

Common Terminologies

Vectorial Representation of Moment

Radius of Curvature

General Introduction to AMOI

Planar AMOI

Radius of Gyration

Diametral AMOI

Quick Summary: Planar & Diametral AMOI

Polar AMOI

Key Takeaway: Flexural Rigidity

Practical Use Case: Computing the More Efficient Section

Relationship between Bending Moment and Shear Force

Situation 1: Cantilevered Beam with End Point Load

Situation 2: Simply Supported Beam with Central Load

Situation 3: Cantilevered Beam with UDL

Situation 4: Fixed - Fixed Beam with Non-central Point Load

Application 1: Ladder Analysis

Application 2: Rivet Forces in Structural Joints

Rules for Drawing BMD

Rules for Drawing SFD

Aerodynamic Lift Load of Typical Wing

Vehicle Chassis Analysis

Mini_Project 1: Sign Board Analysis

Mini_Project 2: Bending Moment in a Circular Ring

Mini_Project 3: Deflection Control in Structural Support

Mini_Project 4: Air Pressure on Aerofoil – CP & Equivalent BM

Mini_Project 5: Curved Beam Analysis

Mega_Project 1: Locating the Point of Contraflexure (T – Structure)

Mega_Project 2: Typical Aerostructure Floor Beam Analysis – Moment & Reaction at CG of Bolted Joint

3.1 Introduction

3.4 Concept of stress and strain

3.5 SFD, BMD and Torsion

3.6 Strain Energy

3.7 Deflection of Beams

3.8 Stiffness and Buckling

3.9 Asymmetric Bending and Shear Center

Introduction to Stiffness & Buckling

Common Terminologies

Industry Significance of Stiffness

Axial Stiffness

Shear Stiffness

Bending Stiffness

Torsional Stiffness

Summary: Types of Stiffness

Springs in Series & Parallel

Axial Strain Energy

Bending Strain Energy

Torsional Strain Energy

Shear Strain Energy

Summary: Types of Strain Energy

Buckling: A Deep Dive

Application [Bolted Joint]: Preload & Joint Separation Analysis

Bolt & Flange Joint Stiffness Diagram

Routine Industry Challenges with Bolted Joints

Flange Design – For no-separation

Mini_Project 1: Buckling Strength Ratio of a Beam

Mini_Project 2: Truss Assembly – Stiffness of the Horizontal Member

Mini_Project 3: Stiffness of a Shaft (Torsional Load)

Mini_Project 4: Equivalent Stiffness of an Arbitrary System

Mini_Project 5: Piston Cylinder Assembly – Force Analysis

Mega_Project 1: Stiffness of a Composite Beam (Glued vs Un-Glued)

Mega_Project 2: Load Response in Ladder Rungs

3.1 Introduction

3.4 Concept of stress and strain

3.5 SFD, BMD and Torsion

3.6 Strain Energy

3.7 Deflection of Beams

3.8 Stiffness and Buckling

3.9 Asymmetric Bending and Shear Center

Introduction - Stress Analysis

Common Terminologies

Stress Designation

Stress Resolution

Hook’s Law & Material Dependence of Stress

Introduction: Components of Stress

Shear Stress

Bending Stress

Torsional Shear Stress

Transverse Shear Stress

Thermal Stress

Example: How to Combine Stresses

Practical Scenario - Idealized Compressor Blade & Disc Assembly

Principal Stresses

Von Mises Stress

Biaxiality & Biaxiality Ratio

Introduction [What are Engineering, True & Green Strains?]

Defining Material Moduli

Understanding Toughness

Plane Stress

Plane Strain

Temperature Dependence on Material

Stress Concentration

Stress Intensity Factor

Stress Visualization in Thin Pressure Vessels

Introduction: Common Loads for Axisymmetric Components

Effect of Thermal Load on Axisymmetric Components

Effect of Centrifugal Load on Axisymmetric Components

Effect of Pressure Loading on Axisymmetric Components

Summary: Axisymmetric load types

Engineering facts for Axisymmetric Components

Material Matrix Computation for an Axisymmetric Component

Multi-Load Stress in a Cantilever Shaft

Calculating the Safest Shaft Diameter

General Introduction to Strength Failure

Practical Situation 1: Allowable Crack Orientation for a Pressurized Cylinder

Practical Situation 2: Evaluating Torsional Overload of a Shaft

Criticalities of Thermal Stress Analyses and Sensitivity Study

Mini_Project 1: Interference Fit Analysis – Hoop/Tangential Stress

Mini_Project 2: Combined Bending in Circular Shafts

Mini_Project 3: Stress Concentration Analysis

Mini_Project 4: Maximum Bending Stress on a Shaft due to Unbalance Force

Mini_Project 5: Stress in a Rotating Rod

Mega_Project 1: Thermal Stress on a Rotating Disc

Mega_Project 2: Proof – Bolt Tension Varies Sinusoidally

3.1 Introduction

3.4 Concept of stress and strain

3.5 SFD, BMD and Torsion

3.6 Strain Energy

3.7 Deflection of Beams

3.8 Stiffness and Buckling

3.9 Asymmetric Bending and Shear Center

Introduction: Free Vibration

Common Terminologies

Energy in Oscillation

Natural Frequency

What is Mode Shape?

Continuous & Lumped Mass Systems - Part 1

Continuous & Lumped Mass Systems - Part 2

Expression for Natural Frequency

Torsional & Flexural Frequencies of a Massless Shaft with a Central Disc [With & Without Bearing Support Structure Stiffness]

Cylindrical & Conical Natural Frequencies for an Idealized Car

Variation of Natural Frequencies of Turbine Blades across Spools of a Gas Turbine Jet Engine

Natural Frequency of an Idealized Turbo Charger Shaft Assembly

Mini_Project 1: Mass-Lumping in Shaft Disc System

Mini_Project 2: Natural Frequency of a Thin Hinged Rigid Body

Mini_Project 3: Natural Frequency of a Spring System

Mini_Project 4: Torsional Natural Frequency of a Shaft

Mini_Project 5: Role of Centrifugal Force in the Frequency of a Fan blade

Mega_Project 1: Flexural Frequencies of a Multi-Rotor Shaft System

Mega_Project 2: Transverse Shear Effect in a Shaft

4.1 Introduction

4.4 Energy in Oscillation

4.5 Damped and Forced Vibration

4.6 Vibration Margin and Campbell Diagram

Introduction to FEM

Common Terminologies

Introduction: Theory of Elasticity

Applied Finite Element Method

Theory of Elasticity: Holistic Deep Dive

FEM Problems Classification

Boundary Conditions

Shape Function

General Stiffness Matrix

Beam Stiffness Matrix

Cantilever with End Moment and Force – Deflection and Slope

Spring Deflection of an Arbitrary Structure

Mini_Project 1: Shape Function of a Triangular Element

Mini_Project 2: Beam Stiffness Matrix with Shear Effect

Mini_Project 3: Deflection of a Composite Rod Subjected to Axial Force

Mini_Project 4: Slope & Deflection of a Beam subjected to Multi-axial Loading

Mini_Project 5: Torsional Stiffness of a Frame

Mega_Project 1: Flexural Natural Frequencies of a Cantilever Shaft with End Mass

Mega_Project 2: Derive Stiffness Matrix of a frame with Axial Stiffness

6.1 Introduction

6.4 Applied Finite Element Method

6.5 Theory of Elasticity

6.6 FEM Problems Classification

6.7 Shape Function

6.8 General Stiffness Matrix

Lecture

Lecture

Bending of an Aerofoil

Lecture

High energy debris containment

Lecture

Unbalance Analysis

Lecture

Thruster's Efficiency

Lecture

Analysis of a bolted joing

Lecture

Heat Transfer Analysis

Challenge Brief

Introduction & Analytical Fundamentals

Python Programming

Result Interpretation, Critical Learning Reinforcements & Key Engineering Takeaways

Challenge Brief

Introduction & Analytical Fundamentals

Python Programming & Result Interpretation

Critical Learning Reinforcements & Key Engineering Takeaways

Challenge Brief

Introduction & Analytical Fundamentals

Python Programming & Result Interpretation

Critical Learning Reinforcements & Key Engineering Takeaways

Challenge Brief

Introduction & Analytical Fundamentals

Python Programming & Result Interpretation

Critical Learning Reinforcements & Key Engineering Takeaways

Challenge Brief

5.1 Introduction

5.4 Introduction to Metal Fatigue

5.5 Stress Concentration

5.6 Stress Intensity Factor

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