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

Пікірлер: 115

  • @mamirshaikh762
    @mamirshaikh762 Жыл бұрын

    Love you man, Finally found some one who is passionate about explaining this

  • @TaylorSparks

    @TaylorSparks

    Жыл бұрын

    🔥🔥🔥 my pleasure

  • @_Yvonne_a
    @_Yvonne_a4 жыл бұрын

    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

    @TaylorSparks

    4 жыл бұрын

    So glad I could help! Like, sub, and share so I can keep making content.

  • @alexandermuir8160
    @alexandermuir8160 Жыл бұрын

    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

    @TaylorSparks

    Жыл бұрын

    Glad to hear it! We need more practical applications of principles

  • @shafiulislamdipto1136

    @shafiulislamdipto1136

    6 ай бұрын

    thanks

  • @rameshselvamanickam8842
    @rameshselvamanickam88422 жыл бұрын

    The greatest video about Weibull i have ever seen. Focused on fundamentals!!.

  • @forrestpanda
    @forrestpanda4 жыл бұрын

    This is great! Thank you for uploading!

  • @lukedicksonuk
    @lukedicksonuk Жыл бұрын

    Your explanation was superb. I plotted my own data as a Weibull plot as I went along with the video.

  • @gy65hude
    @gy65hude2 жыл бұрын

    what a nice lecture for Weibull distribution. Thank you so much!

  • @sphinxgiza9613
    @sphinxgiza96134 жыл бұрын

    Taylor, that was impressive. Now, I need the 2 variable model.

  • @joewow1229
    @joewow12293 жыл бұрын

    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!

  • @BoZhaoengineering
    @BoZhaoengineering2 жыл бұрын

    I am doing a structural analysis using steel, this Weibull distribution is exactly what I am looking for. Thank you, professor.

  • @TaylorSparks

    @TaylorSparks

    2 жыл бұрын

    Glad to help homie!

  • @brahmadeokamble
    @brahmadeokamble4 жыл бұрын

    Simply great!

  • @ranjan_akash
    @ranjan_akash3 жыл бұрын

    I loved the explanation .

  • @anthonydefilippo8106
    @anthonydefilippo81063 жыл бұрын

    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

    @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.

  • @jamieraz110
    @jamieraz1104 жыл бұрын

    Great explanation Sir

  • @ArjunSharma-wi3jp
    @ArjunSharma-wi3jp9 ай бұрын

    i would take this professors evvery class. what a positive attitude man

  • @TaylorSparks

    @TaylorSparks

    9 ай бұрын

    I teach materials informatics in the spring. Videos are on KZread and more coming !

  • @rupamgogoi6518
    @rupamgogoi65183 жыл бұрын

    Thanks, Prof. Using this for some fiber analysis. Hopefully, the manuscript gets accepted.

  • @jmigz23
    @jmigz233 жыл бұрын

    Thank you for this video!

  • @Dr.shraddha15
    @Dr.shraddha154 жыл бұрын

    Explained it very nicely.Thank you.

  • @TaylorSparks

    @TaylorSparks

    4 жыл бұрын

    Thanks! Share with your peers!

  • @HamzaNajahOfficial
    @HamzaNajahOfficial4 жыл бұрын

    You saved me, I left all the homework till last minute, but luckily I found this awesome video, well explained thanks so much.

  • @TaylorSparks

    @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

    @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

  • @kingdomman1078
    @kingdomman10782 жыл бұрын

    Thank you Dr. Taylor

  • @edecaldeira2229
    @edecaldeira22294 жыл бұрын

    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

    @TaylorSparks

    4 жыл бұрын

    Super glad to help. Make sure to subscribe to see my other videos!

  • @ashishj2899

    @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

  • @KawsarAhmed-vi3tw
    @KawsarAhmed-vi3tw2 жыл бұрын

    You are an amazing professor.

  • @TaylorSparks

    @TaylorSparks

    2 жыл бұрын

    Thanks so much!

  • @BeautifoolPhysics
    @BeautifoolPhysics Жыл бұрын

    Awesome teaching

  • @dougberrett8094
    @dougberrett809410 ай бұрын

    Very cool. While I was at “the U”, Dr. Hoeppner was really big on the Weibull. Glad to see it live on.

  • @TaylorSparks

    @TaylorSparks

    10 ай бұрын

    Is this Mike hoeppner in chem eng?

  • @dougberrett8094

    @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.

  • @calvinmlangeni4795
    @calvinmlangeni47954 жыл бұрын

    Mind blown!!

  • @andremiranda8493
    @andremiranda84933 жыл бұрын

    Great teaching!

  • @TaylorSparks

    @TaylorSparks

    3 жыл бұрын

    thank you!!

  • @AmitKawale
    @AmitKawale10 ай бұрын

    Just for records. I was the 1000th user to like this video!

  • @TaylorSparks

    @TaylorSparks

    10 ай бұрын

    😂

  • @1012kunalp
    @1012kunalp3 жыл бұрын

    very nice way you teach Taylor..!! I will search more videos of yours.

  • @TaylorSparks

    @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.

  • @lucas4bortoletto2
    @lucas4bortoletto23 жыл бұрын

    Thank you for the video.

  • @TaylorSparks

    @TaylorSparks

    3 жыл бұрын

    My pleasure! Check out our podcast Materialism! It's got rad episodes on materials science.

  • @lucas4bortoletto2

    @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!

  • @JackSparrow-yt3qw
    @JackSparrow-yt3qw3 жыл бұрын

    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?

  • @kawtarbouhaddaoui8516
    @kawtarbouhaddaoui85162 жыл бұрын

    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

  • @punardeepchhabra1600
    @punardeepchhabra1600 Жыл бұрын

    Great explanation. Do you have any thoughts/videos on utilizing Arrhenius equation to predict material property?

  • @captainvlog
    @captainvlog3 жыл бұрын

    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

    @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.

  • @nathanaelmccooeye3204
    @nathanaelmccooeye32043 ай бұрын

    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?

  • @zahirulislam1819
    @zahirulislam18194 жыл бұрын

    Great

  • @evansmichelo883
    @evansmichelo8832 жыл бұрын

    For the x-axis how do you resolve it when given bending strength instead?

  • @_Yvonne_a
    @_Yvonne_a4 жыл бұрын

    Do you have anything on log normal distributions?

  • @HabeebAlasadi
    @HabeebAlasadi2 жыл бұрын

    Thanks

  • @mariocaccia1676
    @mariocaccia16764 жыл бұрын

    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

    @TaylorSparks

    4 жыл бұрын

    I'm not sure which is actually better. I think the one you cite is much more common though.

  • @couchbeer7267
    @couchbeer7267 Жыл бұрын

    Is there anywhere where F = (n - 0 5)/N is cited as the go-to for rank approximation?

  • @kashifnaukhez7187
    @kashifnaukhez71873 жыл бұрын

    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!!!

  • @fernandomatosinhos8583
    @fernandomatosinhos85833 жыл бұрын

    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

    @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

  • @jonathandorocicz676
    @jonathandorocicz676Ай бұрын

    39:34 what does the “m” represent in the legend of the confidence interval vs sample size plot?

  • @TaylorSparks

    @TaylorSparks

    Ай бұрын

    Weibull modulus.

  • @altanalpay5249
    @altanalpay52494 жыл бұрын

    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

    @TaylorSparks

    4 жыл бұрын

    I'm not totally sure that I follow your question.

  • @altanalpay5249

    @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.

  • @mahmoudgaber5347
    @mahmoudgaber53472 жыл бұрын

    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.

  • @joaomarcosrodrigues7046
    @joaomarcosrodrigues70462 жыл бұрын

    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

    @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

    @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.

  • @InCog2020
    @InCog20204 жыл бұрын

    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

    @TaylorSparks

    4 жыл бұрын

    4.88=exp(1.587) Glad the video is helpful!

  • @vaibhavidige6869
    @vaibhavidige68694 жыл бұрын

    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

  • @alaaisraa9459
    @alaaisraa94593 жыл бұрын

    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

    @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

    @alaaisraa9459

    3 жыл бұрын

    @@TaylorSparks thank you

  • @hilairesj
    @hilairesj2 жыл бұрын

    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

    @TaylorSparks

    2 жыл бұрын

    Yes. There are other failure ranking approaches.

  • @ArjunSharma-wi3jp
    @ArjunSharma-wi3jp9 ай бұрын

    wHY DO WE PLOT LN(LN (1/1-F(X)) ) ON X AXIS TO GET THE SLOPE AND INTERCEPT

  • @TaylorSparks

    @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.

  • @shilosinjari4474
    @shilosinjari44743 жыл бұрын

    Can I use this method for wind loads that don't give a specific direction?

  • @TaylorSparks

    @TaylorSparks

    3 жыл бұрын

    No.

  • @shilosinjari4474

    @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

  • @BobClemintime
    @BobClemintime11 ай бұрын

    What is the formal name for the scaling equation introduced at 43:50?

  • @TaylorSparks

    @TaylorSparks

    11 ай бұрын

    Effective area

  • @BobClemintime

    @BobClemintime

    11 ай бұрын

    @@TaylorSparks Thank you!

  • @teeluckmunbhaugeerutty4131
    @teeluckmunbhaugeerutty41314 жыл бұрын

    Superb! One question though. Can you explain the equation F=1/1e^6?

  • @zakariaelbaby5468

    @zakariaelbaby5468

    3 жыл бұрын

    that's 10^6=1million.. they want one failure in one million articles

  • @kodiererg
    @kodiererg2 жыл бұрын

    Is there a link to the files used in the video?

  • @TaylorSparks

    @TaylorSparks

    2 жыл бұрын

    No, I generated the data on the spot. It's easy to do the same if you'd like.

  • @LT72884
    @LT728843 ай бұрын

    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

    @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

    @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

    @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

    @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

  • @timvanzanten9423
    @timvanzanten942311 ай бұрын

    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

    @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.

  • @sayemasaliha1152
    @sayemasaliha11522 жыл бұрын

    How to use Weibull formula for precipitation in hydrology?

  • @TaylorSparks

    @TaylorSparks

    2 жыл бұрын

    What does the data look like? Weight fraction precipitated over time?

  • @sayemasaliha1152

    @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

    @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.

  • @43SunSon
    @43SunSon3 жыл бұрын

    pika pika !

  • @TaylorSparks

    @TaylorSparks

    3 жыл бұрын

    ⚡⚡⚡⚡

  • @43SunSon

    @43SunSon

    3 жыл бұрын

    @@TaylorSparks haha. you got it!

  • @ossamanakhla6160
    @ossamanakhla61603 жыл бұрын

    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

    @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

  • @LeeLabuda
    @LeeLabuda Жыл бұрын

    @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

    @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.👍

  • @salk.156
    @salk.156 Жыл бұрын

    The length at failure, has nothing to do with the failure rate.

  • @sallalooz
    @sallalooz2 жыл бұрын

    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

    @sallalooz

    2 жыл бұрын

    Best professor ever......miss those days!!