Wow... Not getting the word to explain my happiness. This is called teaching. Not even a single doubt related to stress after watching this. Thank you sir. We need such videos.
Thank you for the way in which you have explained.I must add that before watching this video I was encountering many doubts but they are all clear now.
Good examples. The animation and pictures shown are apt. and clear. The video is conceptually clear and everything is simply put. I personally would prefer a 1-2 minute backstory of the scientists who worked on this topic as well, but then again it is a personal choice. As the only mode of interaction is the voice that narrates, a bit of vocal veriety and control over the tone and pitch along with the flow would enhance the experience even more. Thankyou for this video.
@@nandipatiparvathi5520 at 9:17 he shows the tensor (its a matrix with a physical meaning) Each component represents a tension at a particular place and direction , as explained. thanks
The only difference you will observe will be in the values of components of stress..... whether it is 1d loading or 3d loading, stress at a point will always have 9 components...but few of them will have zero values in case of 1d loading. When we say stress at a point, we actually calculate it on a very very small area whoes area is tending to zero but not zero...... So when we say area is tending to zero we mean it is tending to a single point but it will not be a point.
Summation is performed over finite number of terms. Hence the Total cross-sectional area when divided into finite numbers then the area of each small segment will be finite and hence we represent it with deltaA. But when we keep on reducing the deltaA by constantly increasing the number of partitions, then the value of deltaA goes nearer to zero but not zero. Hence with infinite partitions, the deltaA approaches to zero and therefore the deltaA can be represented by differential notation dA. Now integration is defined in such a way that it represents the summation of infinite terms. Therefore I have used deltaA in summation of all forces and differential area in integration. I hope you understood. Let me know for any further query.
Dear Ishtiaq Ali , Can you please elaborate that what do you mean when you say "Real Stress"? I am asking it because the stress quantity discussed here in this lecture is actually real. It's not the imaginary quantity.
Dear Ishtiaq Ali, A Stress at any point on the cross-section is completely defined by the 9 different components as discussed in this lecture which technically is known as a general state of stress. You may be aware about the fact that every state of stress can have a unique set of three principal stress values in three mutually perpendicular direction (eigenvalues of the stress matrix). So now the magnitude of the stress tensor at that point is the square root of summation of squares of these three principal stress values. Technically speaking, for a design engineer the magnitude of stress at a point is of not so important but rather, magnitudes of the principle stresses along with their direction is of more important and that is why,while designing any mechanical component, the principle stresses at a point are taken into account.
Dear Yogesh, We are soon coming up with the course on Strength of Material on this channel. It will take around 1 month to begin the course. Stay Tuned.
N is the number of small planes that you divide the section in. So , the more divisions you make, that means N tends to infinity and consequently the area of each small plane tends to zero. Hope it helps.
For me, What is a tensor? is best defined as a nothing more than an arbitrary set of rules for bookkeeping mathematical manipulations. Without any examples of a 2nd order tensor, the 2nd order tensor would not exist. Same as addition and numbers. Addition is just an arbitrary rule that is meaningless without numbers.
Wow... Not getting the word to explain my happiness. This is called teaching. Not even a single doubt related to stress after watching this. Thank you sir. We need such videos.
Maybe the best explanation of stress on the you tube channel. Thanks for the post.
djordjekojicic Thank You.
Thank you for posting the best explanation on UA-cam.
This was the best explanation for the introduction to concept of stress tensors. Thanks
Best ever video sir cover whole mechanics of material
A brilliant explanation and presentation. 👍👍👍
confidence level is increased after watching this video , awesome explanation with the best example. i am waiting for more such videos.
thanks
Exaplanation was spot on. Actually understood what all these things ment and visualize them.
Thanks a lot
Awesome explanation sir, now i built good confidence toward stress.
Thank you for the way in which you have explained.I must add that before watching this video I was encountering many doubts but they are all clear now.
you are great sir very helpful the way u teach i like
Good examples. The animation and pictures shown are apt. and clear. The video is conceptually clear and everything is simply put.
I personally would prefer a 1-2 minute backstory of the scientists who worked on this topic as well, but then again it is a personal choice.
As the only mode of interaction is the voice that narrates, a bit of vocal veriety and control over the tone and pitch along with the flow would enhance the experience even more.
Thankyou for this video.
Dear kalpak shukla,
I truly appreciate your suggestions. We are in a process of improving audio quality. Once again thank you for the suggestion.
Best explanation......with Best representation............
Thank you for this wonderful video. I have a doubt. What will be the shear stress values for the same problem explained above.
beautiful explanation,, thanks
Best explanation of stress thanks....
Very nice.
Well explained about the stress sir, thank u.
Hi!What reference books did you use?
Awesome explanation with example..👌sir..
thanks
Fantastic presentation
thnks for making such a useful video sir...
great video
waiting for more
ya sure
Tnq so much jaysir for this vidio
Well explained...
Pleas.......e make more videos for mechanics of sholid
Thank you Sir. :)
sir u r telling stress at a point is called tensor but where is that point in diagram please mention it we will get more clarity
Ya at 8:24 if u just show that point every 1 will get more clarity
@@nandipatiparvathi5520 at 9:17 he shows the tensor (its a matrix with a physical meaning) Each component represents a tension at a particular place and direction , as explained. thanks
what is the difference between stress at a point in 1d load and 3d load? and unit area refers to a point right
The only difference you will observe will be in the values of components of stress..... whether it is 1d loading or 3d loading, stress at a point will always have 9 components...but few of them will have zero values in case of 1d loading.
When we say stress at a point, we actually calculate it on a very very small area whoes area is tending to zero but not zero......
So when we say area is tending to zero we mean it is tending to a single point but it will not be a point.
good..sir but why you have taken deltaA in summation of all forces and differential area in integration?
Summation is performed over finite number of terms. Hence the Total cross-sectional area when divided into finite numbers then the area of each small segment will be finite and hence we represent it with deltaA. But when we keep on reducing the deltaA by constantly increasing the number of partitions, then the value of deltaA goes nearer to zero but not zero. Hence with infinite partitions, the deltaA approaches to zero and therefore the deltaA can be represented by differential notation dA. Now integration is defined in such a way that it represents the summation of infinite terms. Therefore I have used deltaA in summation of all forces and differential area in integration.
I hope you understood. Let me know for any further query.
Thanks for ur reply and I appreciate you for passing knowledge to others
How does all that helps to calculate the real stress distribution over an area ?
Dear Ishtiaq Ali ,
Can you please elaborate that what do you mean when you say "Real Stress"?
I am asking it because the stress quantity discussed here in this lecture is actually real. It's not the imaginary quantity.
Sir I was asking that how can we apply this to calculate magnitude of stress at different points on the cross section ?
Dear Ishtiaq Ali,
A Stress at any point on the cross-section is completely defined by the 9 different components as discussed in this lecture which technically is known as a general state of stress. You may be aware about the fact that every state of stress can have a unique set of three principal stress values in three mutually perpendicular direction (eigenvalues of the stress matrix). So now the magnitude of the stress tensor at that point is the square root of summation of squares of these three principal stress values.
Technically speaking, for a design engineer the magnitude of stress at a point is of not so important but rather, magnitudes of the principle stresses along with their direction is of more important and that is why,while designing any mechanical component, the principle stresses at a point are taken into account.
Do anyone have access to remaining parts of this course. Really searching for it. Tried google but no luck. Any help will be appreciated.
Dear Yogesh, We are soon coming up with the course on Strength of Material on this channel. It will take around 1 month to begin the course. Stay Tuned.
awesome
thanks
U said as N tense to infinity, ∆A tense to 0, how it is.. please ans for dis if anybody knows..
N is the number of small planes that you divide the section in. So , the more divisions you make, that means N tends to infinity and consequently the area of each small plane tends to zero. Hope it helps.
perfect
How can we show stress tensor is symmetric
By a moment equilibrium
Please send clear notes
For me, What is a tensor? is best defined as a nothing more than an arbitrary set of rules for bookkeeping mathematical manipulations. Without any examples of a 2nd order tensor, the 2nd order tensor would not exist. Same as addition and numbers. Addition is just an arbitrary rule that is meaningless without numbers.
what is the guy doing at the corner of the classroom...
In which school do you have elephants coming into classroom and sitting on the bench. What school did you went to... Lol