Learn the Foundation concepts of Strength of materials with Math derivations and theory for mechanical engineering
Mechanics of Materials is the primary course for mechanical engineering and is used in the design of structures and machines.
What you’ll learn
- What is machine design , its nature and design process.
- Different types of stress, loading and their analysis.
- Tensile Test – Stress – strain diagram and its inferences.
- What is Stress concentration and its different forms.
- Source of Uncertainties in Design and Factor of Safety.
- Deriving governing equations of Bending and Torsion.
- What is Stress Transformation and derivation of Principal stress.
- Analysis of Beams and their types , how to develop shear force and Bending moment diagrams.
- Multi axial loading, Generalized Hookes law and Poisson Ratio.
Course Content
- Introduction –> 5 lectures • 15min.
- Basic Concepts –> 15 lectures • 41min.
- Stress- Strain Diagram –> 11 lectures • 33min.
- Factor of Safety –> 4 lectures • 13min.
- Stress in Oblique plane –> 1 lecture • 7min.
- Pure Bending –> 22 lectures • 1hr 14min.
- Torsion –> 10 lectures • 29min.
- Multi Axial Loading –> 4 lectures • 15min.
- State of Stress and Stress Transformations –> 14 lectures • 44min.
- Bonus Section –> 1 lecture • 1min.
Requirements
Mechanics of Materials is the primary course for mechanical engineering and is used in the design of structures and machines.
A thorough understanding of the foundational concepts of the subject is important to for mechanical design whether it be designing a single structure which has to take loads or whether it is designing an elaborate Transmission systems which is undergoing dynamic loading conditions. Mechanics of materials concepts are cornerstone of any type of mechanical design .
In this course we will be covering the following concepts :
- Introduction to Machine design – What is nature of machine design ? What does it include ? What is the engineering design process?
- Importance of analysis of strength and difference between strength and stress
- Essential basics of engineering statics – Method of statics, Free body diagrams, Force equilibrium , types of joints
- primary types of loading- Normal and shear
- What is Bearing stress
- Explanation of Stress and strain relations with Tensile test and its inferences along with definitions of tensile strength , yield strength .
- Hookes law
- Shear Stress strain relations and Shear stress in Shafts undergoing action of torque- Torsion.
- What is Poissons’ Ratio
- Analysis of Axially loaded member and what is stress concentration
- Analysis of Stress in Oblique plane for axially loaded member
- What is Pure bending ? Derivation of governing equations .
- What is Area moment of Inertia
- Analysis of Beams and deriving shear force and Bending moment diagrams
- Two Plane bending in shafts
- Stress concentration in Bending
- Analysis of Shaft in torsion and derivation of Governing equations
- Solid vs Hollow shafts
- Stress concentration in Shafts
- Multi axial Loading , Dilatation and Bulk Modulus
- State of Stress and Stress transformations
- Analysis of Thin walled pressure vessels
- What is Principal stress and derivation of Mohrs’ Circle
- Comparison of plane of Principal stress and Maximum Shear
The course covers the Theoretical basics required to design standard elements in structures and machines.
Aim of the course is to build a strong well rooted understanding of the concepts rather than just mere application of formulae.
A good engineer knows the underlying assumptions of each formula they use in application and hence knowing the mathematical back ground is very important for effective design.