Introduction to Weibull Modulus and predictive failure analysis
ariability in data
standard deviations
the weibull equation
worked example for strength at specific failure rate
scaling from test bars to components using effective area ratios
ariability in data
standard deviations
the weibull equation
worked example for strength at specific failure rate
scaling from test bars to components using effective area ratios
Пікірлер: 115
Love you man, Finally found some one who is passionate about explaining this
@TaylorSparks
Жыл бұрын
🔥🔥🔥 my pleasure
this is hands down the best explanation i have seen. I am a master's student in materials engineering and we covered this a few days ago. Thank you so much!!
@TaylorSparks
4 жыл бұрын
So glad I could help! Like, sub, and share so I can keep making content.
I like your teaching style. After 40 years as an Engineer, you're the first person who has explained Weibull and how to use it clearly and succinctly.
@TaylorSparks
Жыл бұрын
Glad to hear it! We need more practical applications of principles
@shafiulislamdipto1136
6 ай бұрын
thanks
The greatest video about Weibull i have ever seen. Focused on fundamentals!!.
This is great! Thank you for uploading!
Your explanation was superb. I plotted my own data as a Weibull plot as I went along with the video.
what a nice lecture for Weibull distribution. Thank you so much!
Taylor, that was impressive. Now, I need the 2 variable model.
Doing concrete analysis at university now. Trying to understand what exactly I am looking at on this Weibull linear graph and now I do! Thankyou!
I am doing a structural analysis using steel, this Weibull distribution is exactly what I am looking for. Thank you, professor.
@TaylorSparks
2 жыл бұрын
Glad to help homie!
Simply great!
I loved the explanation .
Taylor, your lecture style is super engaging and very informative. This lecture on Weibull Analysis has me going into my next exam with great confidence!
@TaylorSparks
3 жыл бұрын
Thank you so much for this feedback! We have a podcast "Materialism" if you're interested in more! Good luck on your exam.
Great explanation Sir
i would take this professors evvery class. what a positive attitude man
@TaylorSparks
9 ай бұрын
I teach materials informatics in the spring. Videos are on KZread and more coming !
Thanks, Prof. Using this for some fiber analysis. Hopefully, the manuscript gets accepted.
Thank you for this video!
Explained it very nicely.Thank you.
@TaylorSparks
4 жыл бұрын
Thanks! Share with your peers!
You saved me, I left all the homework till last minute, but luckily I found this awesome video, well explained thanks so much.
@TaylorSparks
4 жыл бұрын
Haha. I'm supporting bad habits! do me a favor and like subscribe and share so I can continue to grow this channel and help other homework procrastinators ;)
@HamzaNajahOfficial
4 жыл бұрын
@@TaylorSparks I already did it, and I shared it also with all my classmates, so thank you again. But can you believe me if I told you that I saw your replay exactly at the time when you comment it, but as I'm a big procrastinator, I left it till today in order to view the video again Haha, Thanks so much
Thank you Dr. Taylor
Thank you very much. Really awesome. I'm a experienced engineer and this is the best explanation on Weibull I've seen so far. Tks again.
@TaylorSparks
4 жыл бұрын
Super glad to help. Make sure to subscribe to see my other videos!
@ashishj2899
4 жыл бұрын
@@TaylorSparks do you have a udemy course on reliability analysis and FALIURE RATE OT ANY OTHER WEBSITE WHERE YOU HAVE A COURSE
You are an amazing professor.
@TaylorSparks
2 жыл бұрын
Thanks so much!
Awesome teaching
Very cool. While I was at “the U”, Dr. Hoeppner was really big on the Weibull. Glad to see it live on.
@TaylorSparks
10 ай бұрын
Is this Mike hoeppner in chem eng?
@dougberrett8094
10 ай бұрын
@@TaylorSparks No it was David W. Hoeppner. He was the ME chair. He would emphasize that strength data was not a straightforward look up number. He required BSME students to take a “Manufacturing Methods” class in order to understand that how a part was made, would alter its properties. Not only one of my favorite classes, but I was a guest lecturer at one session. Dr. Hoeppner was not the instructor for that class. Another idea that Dr. Hoeppner was passionate about was that “ ductile” and “brittle” were not material properties. They are failure modes. To demonstrate, usually, a teaching assistant would take some silly putty and produce a “brittle” failure. I think his main strength was fracture mechanics.
Mind blown!!
Great teaching!
@TaylorSparks
3 жыл бұрын
thank you!!
Just for records. I was the 1000th user to like this video!
@TaylorSparks
10 ай бұрын
😂
very nice way you teach Taylor..!! I will search more videos of yours.
@TaylorSparks
3 жыл бұрын
so glad to help! Check out the different playlists my channel has for materials science. We have our Materialism Podcast, intro to MSE, software tutorials, and a new python and materials informatics class that I'm putting together for the Spring.
Thank you for the video.
@TaylorSparks
3 жыл бұрын
My pleasure! Check out our podcast Materialism! It's got rad episodes on materials science.
@lucas4bortoletto2
3 жыл бұрын
@@TaylorSparks I will definitely share these Weibull classes with my materials engineering undergraduate colleagues here in Brazil. Also, I have some friends that already know the podcast, keep going with the awesome work!
Thank you for the informative lecture. Could you also share the link to the Ch.15 Composites lecture as listed in the course outline shown at the right-side?
Hello Taylor, thank you for sharing these useful insights. I am wondering how we can determine the Potential Failure using the weibull analysis, or how can we plot the P-F curve using weibull
Great explanation. Do you have any thoughts/videos on utilizing Arrhenius equation to predict material property?
This is the clearest explanation I've seen so far. It is unintuitive for me on how the failure rate is based on a rank and not a bucket, or histogram that counts failures. I'm going to have to spend some time looking into that. Any book or source you recommend for learning about F?
@rezhaadriantanuharja3389
3 жыл бұрын
If what you mean is F, that is not the failure rate but the probability of failure. Say that you have 25 samples and length 5 mm is ranked at 6 in ascending length, this means that 6 out of 25 samples fail at length between 0 and 5 mm i.e. F(5 mm) = 6/25.
Thanks for this great explanation. I'm confused about ln(ln(1/(1-F)) vs F. If I want to have a 1/1,000,000 chance of failure, I find the log(stress) value corresponding to the F = 1/1,000,000 along the data trendline. I don't use ln(ln(1/(1-F)) for that, right?
Great
For the x-axis how do you resolve it when given bending strength instead?
Do you have anything on log normal distributions?
Thanks
Thanks for the tutorial! I have one question regarding how you calculate F (in your case F = n-0.5/N). I have encountered other approximations for F like F = n-0.3/N+0.4 (mean rank approximation) or F = n/N+1. When is it more appropriate to use one or the other? Is there a relationship to the sample size? Thanks!
@TaylorSparks
4 жыл бұрын
I'm not sure which is actually better. I think the one you cite is much more common though.
Is there anywhere where F = (n - 0 5)/N is cited as the go-to for rank approximation?
Any limitations of Weibull distribution? considering that we consider the data distribution to be linear. Also, can we use this Weibull distribution for the particle size distribution. Video was awesome!!!
Hi Taylor! Fantastic explanation!! Thank you...My question is: the Length of failure in your excel spreadsheet it CAN BE MTBF??? Can I calculate reliability as you have done using the MTBF?
@TaylorSparks
3 жыл бұрын
I imagine so. The first thing to try would be to see if it can be fit with the wibble equation. If so, then you should be able to use it as a probabilistic analysis tool
39:34 what does the “m” represent in the legend of the confidence interval vs sample size plot?
@TaylorSparks
Ай бұрын
Weibull modulus.
Thanks for the great lecture. I'm confused on the intuition behind length of elongation of the component computation. Is it akin to the idea of that: we have 100 bars so we must calculate at least 1 failing and hence this is like changing the required 1 / 1 million to 1 / 100 million in the original equation?
@TaylorSparks
4 жыл бұрын
I'm not totally sure that I follow your question.
@altanalpay5249
4 жыл бұрын
So the example towards the end is estimating the component length elongation with 100 x area of bar with same failure rate, right? And the length is much shorter. If the component had the same area as the bar but 100 bars were used (so that force area is 100 times) then we would expect 1 of the components to break earlier than the average failure rate. And that is why we should have component length much shoter. Equivalent’ish to looking for 1/100 million failure rate in the original bar intuitively? I hope it makes sense now.
I'm currently designing a cost model for solar power plant, in which I should define the "average failure rate" of devices over its lifetime....how can I benefit from the Weibull distribution .....thank you.
Hi Taylor, I am researching the strength of eggshells for two different diet groups. For the strength values, the Weibull distribution fits both groups very well, and I want to know if there is any statistical difference between these groups. Do you know how could I do this?
@TaylorSparks
2 жыл бұрын
You will need to check to see if the confidence intervals of your Weibull fitting overlap or not. I didn't cover confidence intervals in this video but you can read about it
@TaylorSparks
2 жыл бұрын
One thing you might try would be bootstrapping. Bootstrapping will allow you to create many many versions of your data and you could do Weibull fitting for each one and then take the average and standard deviation of those fits and see how they compare with one another.
One question, can anyone explain how the calculations are performed at 33:00? Otherwise, this is the first video that ever made sense to me. I've been trying to understand this for at least a year.
@TaylorSparks
4 жыл бұрын
4.88=exp(1.587) Glad the video is helpful!
Thank you sir for this video. Can you please help me out for plotting weibull curves in excel based on service life prediction of building data. Plotting of Condition index vs.Time in years
Thank you for this video, please I have a question, how do we estimate the failure function, if I have the number of data exactly 20
@TaylorSparks
3 жыл бұрын
(n-0.5)/20 where n is the failure rank (first, last etc ). There are other failure functions. But this one works okay.
@alaaisraa9459
3 жыл бұрын
@@TaylorSparks thank you
When you ranked them, some of them have the same length (16th and 17th), so it should be the same rank otherwise it gives different failure rate for the same length ?
@TaylorSparks
2 жыл бұрын
Yes. There are other failure ranking approaches.
wHY DO WE PLOT LN(LN (1/1-F(X)) ) ON X AXIS TO GET THE SLOPE AND INTERCEPT
@TaylorSparks
9 ай бұрын
The weibull equation is not linear. It has an exp in it. We make it linear by plotting it the way we do. In those axes, the slope becomes the weibull modulus.
Can I use this method for wind loads that don't give a specific direction?
@TaylorSparks
3 жыл бұрын
No.
@shilosinjari4474
3 жыл бұрын
@@TaylorSparks if I have a set a data, in the form of a histograph, how do i make a weibull distribution curve
What is the formal name for the scaling equation introduced at 43:50?
@TaylorSparks
11 ай бұрын
Effective area
@BobClemintime
11 ай бұрын
@@TaylorSparks Thank you!
Superb! One question though. Can you explain the equation F=1/1e^6?
@zakariaelbaby5468
3 жыл бұрын
that's 10^6=1million.. they want one failure in one million articles
Is there a link to the files used in the video?
@TaylorSparks
2 жыл бұрын
No, I generated the data on the spot. It's easy to do the same if you'd like.
If i wanted to learn more about using excel in this way and this type of statistics, what would i take? thanks. I am graduating this month in mechanical at UVU but even in my undergrad, we hardly touched on this stuff, even at SLCC I actually learned more stats in my black belt independent study i did through an online company than i did my schools haha
@TaylorSparks
2 ай бұрын
Probability theory. That's what you want. If you want to keep learning, and since you are in Utah already, you might consider applying to our graduate program.
@LT72884
2 ай бұрын
@@TaylorSparks i have thought about haha. I travel 120 miles one direction for school as i live in Brigham city. But i could check out the U and see. Thanks for replying.
@TaylorSparks
2 ай бұрын
@@LT72884 Salt Lake City is even closer than UVU. Actually, my most recent PhD grad from my group is living up in Brigham City because he works for Northrop Grumman. Once you are done with classes after the first two years, some programs even allow remote work. For example, my students typically do machine learning and so they can work from wherever.
@LT72884
2 ай бұрын
@@TaylorSparks true, i grew up in draper :) but then went to usu for some school before switching majors. Slc is alot closer, even if the u is east. I really enjoy what i have learned about weibull and predictive failure from your videos. Ill start researching more on probability theory
how is F=1-exp (-sigma_f/sigma_o)^m the following 1/(1-F)=exp(sigma_f/sigma_o)^m ? please explain steps
@TaylorSparks
11 ай бұрын
Once you get the EXP to one side of the equation you can take 1 over that entire side of the equation and it simply removes the negative sign from inside the EXP.
How to use Weibull formula for precipitation in hydrology?
@TaylorSparks
2 жыл бұрын
What does the data look like? Weight fraction precipitated over time?
@sayemasaliha1152
2 жыл бұрын
@@TaylorSparks No sir. Annual rainfall of 22 years is given in cm (1960-1981). Q1: Estimate the annual rainfall with return period of 10 years and 23 years. Q2: What would be the probability of annual rainfall of magnitude equal to or exceeding 'X' cm. X is given. I have found using P= m/(N+1) formula just one hour ago but failed to understand clearly why using this
@TaylorSparks
2 жыл бұрын
@@sayemasaliha1152 are you specifically being asked to use a wibal distribution? Have you tried fitting it to a weibel distribution yet? It might be the case that another distribution is going to be more accurate.
pika pika !
@TaylorSparks
3 жыл бұрын
⚡⚡⚡⚡
@43SunSon
3 жыл бұрын
@@TaylorSparks haha. you got it!
20:10 the ranking :: what if we left the data is it comes, in other words, without reranking it, let the first sample rank to be first, second be second and so on
@TaylorSparks
3 жыл бұрын
I don't think that will work. You have to rank your data in order to calculate failure probability, F, correctly
@29:35 why the F for the one in a million is 1/e^6. My feel is that it should be 1/10^6.
@LeeLabuda
Жыл бұрын
oh, according to your number for the ln(ln(1/1-F)), the F is 1/10^6,seem it is typo. Thanks. That is a geat video.👍
The length at failure, has nothing to do with the failure rate.
at 30:00 you calculated F to be 1/1e^6.....shouldn't F= 1/2e^6 because of the formula F= (n-0.5)/N which equal to 0.5/1e^6 or as 1/2e^6
@sallalooz
2 жыл бұрын
Best professor ever......miss those days!!