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J Aatish Rao

This course is designed specifically for students those have a bit lacking in core knowledge. The main idea behind these 7-8 lectures is to infuse in the minds of young ones, the fundamental concept behind strength of material. Topics covered are :- Stress strain relationship, true stress & strain, elastic constants, Bending & shearing stress, Beams & many more along with a bonus lecture containing important formulas & tips.

PS - Being a very old course,pardon the harsh sound quality.

Read more

This course is designed specifically for students those have a bit lacking in core knowledge. The main idea behind these 7-8 lectures is to infuse in the minds of young ones, the fundamental concept behind strength of material. Topics covered are :- Stress strain relationship, true stress & strain, elastic constants, Bending & shearing stress, Beams & many more along with a bonus lecture containing important formulas & tips.

PS - Being a very old course,pardon the harsh sound quality.

This course is designed to provide a comprehensive exploration of the fundamental principles governing the mechanical behavior of materials. Students will delve into the intricate relationship between stress and strain, gaining a foundational understanding of material response under different mechanical loads. The course encompasses a diverse range of topics crucial to the field of Mechanics of Solids, ensuring that students acquire a thorough grasp of structural mechanics.

Course Coverage:

  1. Stress-Strain Relationship: Students will be introduced to the concept of stress and strain, exploring the fundamental Hooke's Law and its practical applications. The course will also cover yield criteria and failure theories, providing insight into the limits of material strength.

  2. Elastic Constants, True Stress & Strain: Delving into the elastic properties of materials, the course covers elastic constants such as Young's Modulus, Shear Modulus, and Bulk Modulus. True stress and true strain are examined, along with the significance of Poisson's ratio.

  3. Plane Stress, Plane Strain & Mohr's Circle: Analysis of stress and strain in two dimensions is explored, along with the application of Mohr's circle for plane stress and strain. The practical implications of these concepts in design and analysis are discussed.

  4. Bending & Shear Stresses: The course addresses the fundamentals of bending moment and shear force diagrams, along with the determination of bending and shear stresses in beams. Stress distribution in flexural and shear situations is examined in depth.

  5. Second Moment of Inertia: Students will gain insight into the definition and significance of the second moment of inertia, exploring calculation methods for various shapes. The application of the second moment of inertia in bending and torsion scenarios is emphasized.

  6. Beams: The different types of beams and supports are covered, along with the analysis of shear force and bending moment equations.

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What's inside

Learning objectives

  • How materials respond to different forces and grasp the stress-strain relationship for diverse mechanical loads.
  • Gain practical skills in applying elastic constants like young's modulus, shear modulus, and bulk modulus to analyze material deformation.
  • Analyze bending and shear stresses in beams, interpret bending moment and shear force diagrams
  • Acquire the skills to apply knowledge in mohr's circle, second moment of inertia, and various beam types

Syllabus

Basic Introduction

Basic introduction to strength of material. Pardon me for the background noise. In this course you will be going to be enlightened about the topic in most concise & elementary way. Watch & download each of the lectures & revise when you like.

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Stress is a force acting on a rock per unit area. ... Stress can cause strain, if it is sufficient to overcome the strength of the object that is under stress. Strain is a change in shape or size resulting from applied forces (deformation). Rocks onlystrain when placed under stress. A brief description about the relationship between the two is elaborated in this lecture. Feel free to download & learn.

True stress (σ') and true strain (ε') are used for accurate definition of plastic behaviour of ductile materials by considering the actual (instantaneous) dimensions.A brief description about the same is elaborated in this lecture. Feel free to download & learn.

Elastic Constants - Stress produces strain. But how much strain is produced depends upon the solid itself. The solid is then characterized by an elastic modulus that relates strain to stress.

Based upon lecture 2 & 3 i.e stress-strain relationship & elastic constants.

Mohr's circle, named after Christian Otto Mohr, is a two-dimensional graphical representation of the transformation law for the Cauchy stress tensor.A brief description about the same is elaborated in this lecture. Feel free to download & learn.     

Normal stress is a result of load applied perpendicular to a member. Shear stress however results when a load is applied parallel to an area. Looking again at figure one, it can be seen that both bending and shear stresses will develop. Like in bending stress, shear stress will vary across the cross sectional area.A brief description about the same is elaborated in this lecture. Feel free to download & learn.

The 2nd moment of area, also known as moment of inertia of plane area, area moment of inertia, or second area moment, is a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis.A brief description about the same is elaborated in this lecture. Feel free to download & learn.         

A beam is a structural element that primarily resists loads applied laterally to the beam's axis. Its mode of deflection is primarily by bending.A brief description about the same is elaborated in this lecture. Feel free to download & learn.

Important formulas for Strength of material. Covering major topics explained in the lectures.

So this here is the last lecture of the course. I hope you understood everything.

All the very BEST !!

Traffic lights

Read about what's good
what should give you pause
and possible dealbreakers
Explores stress-strain relationships, which are fundamental concepts for understanding material behavior under various mechanical loads, providing a solid foundation for further study in structural mechanics
Covers elastic constants such as Young's Modulus and Shear Modulus, which are essential for analyzing material deformation and predicting structural response in engineering applications
Examines bending and shear stresses in beams, which are critical for designing safe and efficient structural components in civil and mechanical engineering projects
Designed for students with some gaps in their core knowledge, which makes it suitable for learners seeking to reinforce their understanding of fundamental concepts
Includes a bonus lecture containing important formulas and tips, which can be a valuable resource for quick reference and exam preparation
Sound quality may be poor due to the course's age, which could affect the learning experience for some students who prefer high-quality audio

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Reviews summary

Fundamentals of strength of materials

According to learners, this course offers a solid introduction to the fundamentals of Strength of Materials and Mechanics of Solids. Students appreciate the clear explanations and the way the course builds basic concepts step-by-step. Many found it particularly helpful for grasping core principles like stress-strain relationships, elastic constants, and bending/shear stresses. While the lectures cover essential topics, a significant point raised by multiple reviewers is the acknowledged poor audio quality, described as harsh or having background noise. Some also note the course is relatively short and provides a foundational overview rather than in-depth coverage, making it ideal for beginners or those needing a refresher on the basics.
The course is short and covers topics briefly.
"Excellent course and I have got good amount of knowledge in a short time..."
"It's a very short course but very useful for basics."
"Good but very brief."
"Covers the fundamentals but isn't an exhaustive deep dive."
Well-suited for students lacking core knowledge.
"This course is designed specifically for students those have a bit lacking in core knowledge."
"Useful for beginners in the subject."
"Provided a good starting point for learning Strength of Materials."
"I needed a fundamental understanding and this course delivered."
Good for understanding basic principles.
"Excellent course to learn the basic concepts in strength of materials."
"Very useful course for basics."
"Helps in building basic concepts."
"A great refresher on fundamental mechanics of solids."
Concepts are explained clearly and effectively.
"This course explained all the concepts clearly and effectively."
"Excellent explaination.."
"Excellent course and I have got good amount of knowledge in a short time...explaining everything clearly."
"Helpful for understanding the basics."
Sound quality is poor as mentioned in course description.
"PS - Being a very old course,pardon the harsh sound quality."
"The quality of the sound is a bit low due to background noises etc. (as mentioned in the course info), but it is manageable."
"Audio quality could be improved, but the content is good."
"The background noise is distracting at times."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Strength of material OR Mechanics of solid with these activities:
Review Statics and Mechanics Fundamentals
Reinforce foundational concepts in statics and mechanics to better understand the principles of stress, strain, and material behavior covered in the course.
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Show steps
  • Review free body diagrams and equilibrium equations.
  • Practice solving problems involving forces and moments.
  • Review concepts of centroids and moments of inertia.
Review 'Mechanics of Materials' by Beer and Johnston
Solidify understanding of core concepts by working through examples and exercises in a standard mechanics of materials textbook.
Show steps
  • Read chapters related to stress, strain, and material properties.
  • Solve example problems from the book.
  • Review key formulas and definitions.
Solve Shear and Bending Moment Diagram Problems
Improve proficiency in calculating shear forces and bending moments in beams by working through a series of practice problems.
Browse courses on Shear Force
Show steps
  • Find practice problems online or in textbooks.
  • Draw shear and bending moment diagrams for various beam loading conditions.
  • Check solutions and identify areas for improvement.
Four other activities
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Show all seven activities
Create a Mohr's Circle Visualization
Deepen understanding of stress transformation by creating a visual representation of Mohr's Circle and its application.
Show steps
  • Research Mohr's Circle and its properties.
  • Use software or hand-drawing to create a diagram illustrating stress transformation.
  • Label key points and explain the significance of the circle.
Explore 'Roark's Formulas for Stress and Strain'
Familiarize yourself with a comprehensive reference for stress and strain calculations to aid in problem-solving and design.
Show steps
  • Browse the table of contents to understand the scope of the book.
  • Review formulas related to specific topics covered in the course.
  • Practice using the formulas to solve example problems.
Design a Simple Truss Structure
Apply knowledge of stress, strain, and material properties to design a simple truss structure that can withstand a specified load.
Show steps
  • Define the geometry and loading conditions for the truss.
  • Calculate the forces in each member of the truss.
  • Select appropriate materials and dimensions for the members.
  • Verify the structural integrity of the design.
Create a Finite Element Analysis (FEA) Model
Gain experience with FEA software by creating a model of a structural component and analyzing its stress distribution under load.
Browse courses on Finite Element Analysis
Show steps
  • Learn the basics of FEA software (e.g., ANSYS, Abaqus).
  • Create a geometric model of the component.
  • Apply material properties, boundary conditions, and loads.
  • Run the analysis and interpret the results.

Career center

Learners who complete Strength of material OR Mechanics of solid will develop knowledge and skills that may be useful to these careers:
Stress Analyst
A Stress Analyst is a specialist who focuses on determining the stress and strain within a structure or component. This course provides the core concepts required for more advanced work as a stress analyst. The detailed analysis of stress-strain relationships, elastic constants, and the use of Mohr's circle covered in this course, provides a theoretical foundation. A Stress Analyst applies this kind of knowledge in simulations and testing. This course provides fundamental knowledge for an aspiring stress analyst.
Structural Engineer
A Structural Engineer designs structures that can withstand various loads and environmental conditions, making the principles taught in this course critical. The course's focus on stress and strain, elastic constants, and the behavior of beams directly relates to the analysis and design of structural elements. A Structural Engineer uses this knowledge to select appropriate materials and ensure the safety and stability of buildings and bridges. The exploration of bending and shear stresses in beams is particularly relevant. This course may be useful to learners who hope to work in structural analysis requiring a deep understanding of material properties.
Mechanical Engineer
The role of a Mechanical Engineer frequently involves analyzing the strength of materials to design robust and efficient mechanical systems. This course, with its deep dive into stress-strain relationships and material properties like elastic constants, helps build a foundation for understanding how materials behave under mechanical loads. This knowledge of bending and shear stresses, along with the study of beams, is foundational to the work of a Mechanical Engineer. This course may be useful to those who want to gain the theoretical knowledge needed to perform stress analysis to ensure structural integrity.
Aerospace Engineer
Aerospace engineers utilize knowledge of material strength to design aircraft and spacecraft. This course, with its coverage of stress, strain, and elastic constants, along with the study of bending and shear stresses in beams, directly applies to aerospace applications. Aerospace engineers must understand how materials react to extreme forces to create safe and efficient designs, and this course may help students achieve that understanding. The discussion of true stress and true strain is relevant when working with aircraft materials under high loads.
Civil Engineer
Civil Engineers often work with large-scale infrastructure projects where understanding the strength of materials and mechanics of solids is vital. This course's coverage of stress-strain relationships and the behavior of beams and other structural elements is very relevant. Civil engineers use this analysis daily to create safe and reliable infrastructure, and this course helps one to understand the fundamentals of how structures react to various forces. This course may be useful for a budding Civil Engineer to gain a basic understanding of material behavior.
Design Engineer
A Design Engineer relies on a deep understanding of material properties and structural mechanics. This course, with its in-depth exploration of stress-strain relationships, elastic constants, and bending and shear stresses, is directly relevant to this field. Design Engineers use this knowledge to ensure that a design is structurally sound. The inclusion of beams and the second moment of inertia helps in analyzing and designing various components. This course may be useful, as the course provides the fundamentals of how materials perform.
Automotive Engineer
An Automotive Engineer designs and tests vehicles and their components, and they must understand the stresses and strains on these parts. This course’s study of stress-strain relationships, elastic constants, and bending and shear stresses in beams is particularly helpful. A deep understanding of material behavior under load, a topic covered in the course, helps an Automotive Engineer make informed decisions regarding material selection and design. This course may be useful for those who wish to understand the properties and behaviors of materials used in automotive engineering.
Materials Scientist
A Materials Scientist studies the properties of materials and how they perform under different conditions. This course, focusing on the fundamental principles of material behavior, may be useful for those who wish to pursue this path. The detailed exploration of stress-strain relationships, elastic constants, and true stress and strain provides a solid foundation for understanding material characteristics. This course will help learners to develop an understanding of materials behavior necessary for materials discovery and innovation. This role often requires an advanced degree.
Manufacturing Engineer
Manufacturing Engineers are tasked with optimizing the manufacturing process, and they need a solid understanding of material properties to do so. This course's coverage of stress and strain, elastic constants, and the analysis of beams helps to understand the mechanical behavior of materials used in manufacturing. This course may be helpful when making decisions about processes that involve stress and strain on parts during production. The study of stress distribution and material strength is relevant to Manufacturing Engineers.
Reliability Engineer
Reliability Engineers work to ensure the reliability of products and systems, and this work is often enhanced by a deep understanding of strength of materials. This course, with its focus on stress-strain relationships, elastic constants, and the analysis of beams, is useful in this work. Understanding how materials behave under different loads and conditions is critical for improving the reliability of products. This course may be helpful for a Reliability Engineer working to predict material failures.
Product Designer
A Product Designer must be mindful of material properties to create effective and durable products. This course's discussion of stress-strain, elastic constants, and bending and shear stresses helps the designer understand how materials behave under load. The study of beams and second moment of inertia in the course is also valuable for a Product Designer. This course may be useful for designers wanting to make informed decisions about the materials they chose for a specific product.
Biomechanics Engineer
A Biomechanics Engineer applies the principles of mechanics to biological systems. This course, with its coverage of fundamental stress-strain relationships, elastic constants, and the mechanics of beams, introduces concepts that may be useful for those in this field. While biological systems are more complex, this course can be useful as a starting point to learn about force, deformation, and material properties. This course may be useful for those who later need to understand load and response in biological systems. This role often requires an advanced degree.
Research Scientist
The work of a Research Scientist often involves exploring the fundamental properties of materials, and this course may be useful for those who wish to enter this field. The course's detailed exploration of stress-strain relationships, elastic constants, and true stress and strain builds a solid foundation for advanced study. The concepts covered may be useful to scientists working in fields like materials science, engineering, and solid mechanics; advanced study is usually required in this career path. This course may help someone wishing to start in academia.
Quality Control Inspector
A Quality Control Inspector examines products and materials to ensure they meet specifications and standards, and a basic grasp of material properties can be very useful. The stress-strain relationships, elastic constants, and bending and shear stress in beams that are covered in the course provide a basic understanding of how materials perform so that the inspector can better assess if they will perform properly after use. This course may be helpful as it provides inspectors with core concepts of material behavior.
CAD Technician
A CAD Technician uses computer software to create detailed technical drawings and models. While they focus on the technical drawing aspect, a basic understanding of how materials behave is helpful. This course, with its study of stress-strain relationships, bending stress, and the properties of beams, provides background knowledge that is useful for when creating complex designs for diverse applications. CAD Technicians often work closely with engineers and designers, and this course may be useful when it comes to collaborating more effectively. This course may be helpful as it will make them more conversant with core engineering principles.

Reading list

We've selected two books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Strength of material OR Mechanics of solid.
Widely used textbook for introductory mechanics of materials courses. It provides a comprehensive overview of stress, strain, bending, torsion, and other fundamental concepts. It valuable reference for understanding the underlying principles and solving problems related to material behavior under load. Many students and professionals use this book as a primary reference.
Comprehensive reference for stress and strain calculations in various structural elements. It provides a vast collection of formulas and tables for different loading conditions and geometries. It is particularly useful for engineers and designers who need to quickly estimate stresses and strains in complex structures. This book is more valuable as additional reading than it is as a current reference.

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