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strength of materials

rajan_prithivi's picture

How are principal planes & eigen vectors of the stress tensor related ? | An intuitive explanation

To obtain the principal planes we construct the stress tensor and find the eigen vectors. Here is an attempt to explain it more intuitively rather than the use of the formal mathematical method. Hope you enjoy this video!

This is an educational outreach initiative targeted at all engineers interested in mechanics and seek simpler explanations. Kindly share if you learn something out of this !

Here is the link to the VIDEO

rajan_prithivi's picture

What are Principal Stresses (explained without math equations) ?


In the following video, I have tried to explain the concept of principal stress in a more physical way and without involving any mathematical equations, hope you can easily imbibe the concept.

Here is the link to the video : Principal stresses

rajan_prithivi's picture

Failure of brittle materials using simple experiments- Part 2

Here is my second video, where I tried to explain the concepts of stress state, principal stresses, Mohr circle and failure theories in layman's language and associated these concepts to explain the failure of a brittle material. This is an educational outreach initiative mainly targeted at the undergraduates (mechanical/civil/aerospace and materials engineering) studying mechanics and also other me

rajan_prithivi's picture

Concept of state of stress in a simple way

I tried to explain the concept of state of stress in a simple way, here is the link to the video - state of stress

rajan_prithivi's picture

Failure of brittle materials using simple experiments -Part 1

Below is the video link to my first lecture video, where in I tried to demonstrate the failure of brittle materials using simple experiments.


New Text on Engineering Mechanics (Strength of Materials)


After many years of teaching elementary mechanics and being unhappy with the high price of existing texts and their tendency to lead students into a game of pattern matching as opposed to thinking about fundamentals, I decided to assemble my lectures into a book.  So if you are looking for something different and concise on this topic you may wish to have a look at this book.  The book is also well suited for use as a refresher due to its brevity.

Residual Stress

Dear imechanica user,

As i know, stresses existing in the components suffering no any outer forces are called the residual stresses. To reply the reason why the residual stress appears in the component?

Could anyone answer this question for my understanding.



UG Course on Solid Mechanics

Given below is a sequence that might properly address the question of what to teach in the first (and the only) UG couse on strength of materials or solid mechanics.

0. Note: It's a mistake to believe that the contents for such a course can be covered in a linear fashion. Apply the spiral theory of knowledge and revisit certain concepts again and again: e.g., the concepts of stress, strain, fields, BV problems, theoretical structure, etc.

1. Introduction:

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