I've watched a few of the Mohr circle ones. I'm very grateful, it makes sense now. Thanks for making the videos! I intend on checking out more of them later. I think part of what helps is that everything is so clear on the board. I can take a screenshot and look at it later, and have enough information to understand everything that was going on while you were doing the problem. In other words, your videos are very clear.
Sir I can't thank you enough for this video. You really helped me understand Mohr's circle. I have told all of my peers about this video and we will be looking to your channel for help in the future. Thanks again!
I tell my undergraduate students to look up your videos at home when and if they cannot contact me for a tutorial. It's been so successful that in most cases they don't require further explaination.
Regards, Masters of Civil / Structural Engineers Melbourne
I can't believe I understand this...I never understood it during my undergrad and it hunted me. Now I am in a master's program and I I really need to study it...you just made my day.
Thanks, to you I've now understood what several weeks worth of lectures failed on, and am hoping your other videos on the channel cover some of the other topics I'm doing (haven't looked yet)
Thank you very much for your very helpful video, Just a quick question, Shouldn't the axis for the shear stress be other way around, down being positive??
Thanks so much for the video! I haven't checked out the others but I will definitely do so in the future. I'm a ME major and a fellow student recommended this to me. Cheers from Alaska!
G'day m8...You saved me a few months back on a statics and dynamics test, and u've gone a long way to helpin me with this Strengths of Materials test i got comin up, once again thanks from the land down under...U r a legend
Excellent explanation on how to plot Mohr's circle. However, just like my first introduction to Mohr's Circle (20+ years ago), It lacks an example of a practical application to bring this into the real world. I'm a structural engineer and I deal with members in axial (normal), shear, and bending stress (also normal) all day long, I would love to see an example that ties Mohr's Circle and it's implications into an everyday design problem.
Excellent videos! I'm taking a course where I need to know this. Yet I took Mechanics of Materials over two years ago. In barely 20 minutes I learned this again. Thank you so much.
@purdueMET Great explanation. A tough thing I've also noticed people having is being able to tell whether or not a shear (tau xy or tau yx) is positive or negative if the sign is not given.
Yes sir. A 3D would be nice. I appreciate you taking the time to get back to me. However, I understand your busy and may not have the time since you have other classes you are attending too.
Professor, your videos have really helped... A LOT. Is there any way you can do one dealing with pricipal stress in the x,y,and(z) directions, along with Txy. Most problems I do have only sigma x,y and Txy. I would be very grateful.
Hey you videos have really helped A LOT. Is there any way you can do one dealing with pricipal stress in the x,y,and(z) directions, along with Txy. Most problems I do have only sigma x,y and Txy. I would be very grateful.
@sxymichael4u3030 I'm glad the videos have helped. I'm not sure if I will get time to do a 3D problem (not teaching strength of materials this semester). However, several people have asked. I probably should do one.
I'm totally appreciate it! Just a question, my lecturer thought us the y-axis arrow (shear stress) pointing downwards. Is it wrong for me if i use upwards like u?
Thankyou for your video contribution , its amazing how a short video explained clearly can provides the core understanding of a topic that overstated textbooks and fancy notation fail to do.
I'm taking a summer crash course in Mechanics of Materials at the University of South Alabama. You're videos on the Mohr circle are clear and precise. I'm positive I'm going to ace the quize tommorow thanks to you :-)
There are too many comments for me to respond to all of them. I'm glad you are all findng the videos helpful. I'm planning more videos during this summer.
@purdueMET Thanks for your engagement, as an engineering student in germany, i found your video helpful to refresh my memory (an certainly more appealing than digging the info in books)
@djspincycle I'm glad the videos help. Thanks for directing your friends to the videos. Sounds like you asre finding out that you learn a lot about a subject by trying to explain it to others. Well done young Jedi ;-)
@addernoir01 You have it right. Remember that the angle on Mohr's circle is twice the angle you have to rotate in real life. Mohr's circle is drawn using stress axes rather than geometrix axes.
While my instructor did a great job at explaining this concept in our lecture, I didn't seem to fully understand the concept; this video has helped me understand (and helped me understand how to apply it for my test coming up).
Got to say a massive thank you for these videos, fantastic explanations, they've saved me for my 3rd year structural geology course! (University of Glasgow, Scotland)
i really appreciate these videos. i find it easy to learn from your teaching, i really hope you continue your work. on my internet search for videos about these problems, this is the best i've found so far.
Great Stuff. I am a undergraduate in Mech Engg from India and right now trying to get Engineering licesnse in Canada. To get my license i need to pass exams and on eof them is SOM. your video has helped me to absorb Mohrs circle concept in 15 minutes. Your video was more helpful for me than the text book. Thanks a lot and please keep up the good work.
i myself am from australia, im actually in 3rd year engineering. However my question is very different to the one you've evaluated. I am supposed to draw mohr's circle, determine all stresses on an element, find principal stresses AFTER the element has been rotated 30 degrees clockwise. Its very confusing lol
Just wondering if you could make a video about mohr's circle with a rotation? Im meant to be doing this question but with a 30 degree counter clockwise rotation, and Im asked to find principal stresses and "stresses on an element".. and im really clueless. Please help?
This video really really helped me, specially 'cause you used stresses with differents signs than the ones you used in the first video... I guess my professor should see this...
thanx a lot!!! that was very helpfull...if u cud also explain bending moment, shear stress n torsion, bending of beams....i know its to much :P:P:P i will pass my exam!!!
Youtube Professors win again! Thanks for this video
shrtman81 1 week ago
this vid is a life saver thanks
themrdaydreamer 1 month ago
Comment removed
themrdaydreamer 1 month ago
thanks, my mechanics of materials teacher didn't explain any of this.
alienodio 2 months ago
u are simply god sent..... thanx a million
Mad21X 2 months ago
Wow this is great! My mechanics of Materials professor is absolutely terrible, but this helps soooo much.
aMammoth 2 months ago
thank u it was really helpful
setare1369 2 months ago
hey amigo excelente video y muy buena manera de explicar apesar de que no domino muy bien el ingles entendi muy bien ja bien amigo sigue asi...:)
ALXtheseventhson7 3 months ago
thank you so much for this video. It was alot better than any text book explanation. your work has reached the Caribbean!
unmentionables1 3 months ago
Very helpful, thanks a lot!
gperaga 3 months ago
I've watched a few of the Mohr circle ones. I'm very grateful, it makes sense now. Thanks for making the videos! I intend on checking out more of them later. I think part of what helps is that everything is so clear on the board. I can take a screenshot and look at it later, and have enough information to understand everything that was going on while you were doing the problem. In other words, your videos are very clear.
Kinnishian 4 months ago
Thank you very much!
greenamatt1992 4 months ago
All respect :)
fa90lq 5 months ago
You have done a great Job, Thanks a ton,
God Bless you with everything.
Regards
yogesh79pant 5 months ago
thanks a ton for posting that very helpful video..the way you explained it was fantastic..thanks once again for your very helpful video!! :D
prathamkapoor1992 5 months ago
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prathamkapoor1992 5 months ago
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prathamkapoor1992 5 months ago
Sir I can't thank you enough for this video. You really helped me understand Mohr's circle. I have told all of my peers about this video and we will be looking to your channel for help in the future. Thanks again!
hockeyguy2814 5 months ago
Sir, thank you kindly.
I tell my undergraduate students to look up your videos at home when and if they cannot contact me for a tutorial. It's been so successful that in most cases they don't require further explaination.
Regards, Masters of Civil / Structural Engineers Melbourne
nocebo348 5 months ago
เยี่ยม=Awesome
010200711 7 months ago
Teaching is an art and you Sir, mastered it. Great video. It really helped.
mono7891 7 months ago
These videos are great, thanks very much for putting these together.
Mech undergrad from NZ
timtam124 8 months ago in playlist Mohr's Circle
These videos are great, thanks very much for putting these together.
Mech undergrad from NZ
timtam124 8 months ago in playlist Mohr's Circle
so i have a test tomorrow and my teacher seems to love mohrs circle. you made more sense than he ever did. great job. thanks
pgman1804 8 months ago
Thanks very much for this, it was very helpful! Filled in some gaps that I didn't know were there.
Civil Engineering undergrad from UK
ollienewth 8 months ago
Comment removed
ollienewth 8 months ago
quick..what angle would i see maximum shear stress on the y face?
guicapone2 9 months ago
@guicapone2 beats me .
pgman1804 8 months ago
Today, after 3 hours i have strength final examination. he will defenetely be asking mohrs circle, you are my savior, thank you !! :D
roboticmehdi 9 months ago
Thank you from Portugal :D
nunoV12 9 months ago
Brilliant video! This was immensely helpful.
teflonboy12321 9 months ago
Thanks .. Very helpful video
mostafakazi 9 months ago
este video en español seria muy bueno.......prolomenos con subtitulos.
CARFLANFLA 9 months ago
Thank you very much!
bergenstation 9 months ago
I can't believe I understand this...I never understood it during my undergrad and it hunted me. Now I am in a master's program and I I really need to study it...you just made my day.
omogaju 9 months ago
1. You are an amazing teacher
2. You make the indian lecturers on youtube look like common sex offenders
periodbludbruvas 10 months ago
Thank you for this video, really helped me to understand Mohr's circle. Have showed it to some of my classmates as well.
(Mechanical engineering in Ireland)
dontgiveafluck 10 months ago
muchas gracias:D
juannito25 10 months ago
Thanks, to you I've now understood what several weeks worth of lectures failed on, and am hoping your other videos on the channel cover some of the other topics I'm doing (haven't looked yet)
A Mechancial engineering undergraduate in the UK
hughcp 10 months ago
I subbed, very helpful videos on statics and deforms.
Mrzw19 10 months ago
Dear PurdueMet,
Thank you very much for your very helpful video, Just a quick question, Shouldn't the axis for the shear stress be other way around, down being positive??
Regards
altontowers1 10 months ago
Comment removed
peteyhopkin 10 months ago
Thanks so much for the video! I haven't checked out the others but I will definitely do so in the future. I'm a ME major and a fellow student recommended this to me. Cheers from Alaska!
arrogantB 10 months ago
G'day m8...You saved me a few months back on a statics and dynamics test, and u've gone a long way to helpin me with this Strengths of Materials test i got comin up, once again thanks from the land down under...U r a legend
BlackRockMac 10 months ago
Muchas gracias por el aporte , saludos desde Perú
0508gabriel 10 months ago
@purdueMET I'm a student of Civil Engineering and this video help me a lot!! to understand the concept of the mohr circle. Thanks
Regards from Colombia
juanfe9210 10 months ago
Very helpful, thanks for taking the time to do this!
MsMechengineer 11 months ago 16
@MsMechengineer I'm glad the video helped. There are dozens of others as well on this channel. Where are you?
purdueMET 11 months ago 2
Yes. And actually I'm a student from Maldives studying in Turkey. :)) The world is small. Cheers! Keep it up Sir!
Efhiya 11 months ago
My lecturer really failed to simply it as much as you did here and now I've no doubts..
I like the videos about strength of materials, din't check others.
Efhiya 11 months ago
@Efhiya Wonderful. If you like these videos, please tell your friends. I really like the thought that I'm helping teach students in Turkey :-)
purdueMET 11 months ago
@purdueMET Not only Turkey, but Kuwait too!
SHOPAH0LIC 2 months ago
@Mikey13780 I'm glad the video helped. How did you find it?
purdueMET 11 months ago
Thank you this is really helpful..From Turkey
Efhiya 11 months ago
@Efhiya Wonderful. How did you find this video?
purdueMET 11 months ago
Excellent explanation on how to plot Mohr's circle. However, just like my first introduction to Mohr's Circle (20+ years ago), It lacks an example of a practical application to bring this into the real world. I'm a structural engineer and I deal with members in axial (normal), shear, and bending stress (also normal) all day long, I would love to see an example that ties Mohr's Circle and it's implications into an everyday design problem.
agfsp1 1 year ago
Spanish subtitles please
zsj45 1 year ago
Excellent videos! I'm taking a course where I need to know this. Yet I took Mechanics of Materials over two years ago. In barely 20 minutes I learned this again. Thank you so much.
Toaster361 1 year ago
what if you want the x face to see sigma max? would the angle be 180deg - 2phi?
chutterdude14 1 year ago
thanks so much
chutterdude14 1 year ago
thank you .....
MrArdah 1 year ago
thumbs up if you believe this guy deserves the noble prize !
farshadguitar 1 year ago
Hi Folks, I'm very glad this video is helping you study and I most appreciate your thanks.
RMF
purdueMET 1 year ago
@purdueMET
Very helpful series of videos on Mohr's Circles.
Currently in Statics class and it would be much more difficult without your videos.
Your are probably busy with research, but Is it possible you could do a video on
Mohr's Circle for strain
and/or
The Elastic Curve/Beam Design
Thanks
Go Blue!
gcass02 1 year ago
This has been flagged as spam show
@purdueMET
Very helpful series of videos on Mohr's Circles.
Currently in Statics class and it would be much more difficult without your videos.
Your are probably busy with research, but Is it possible you could do a video on
Mohr's Circle for strain
and/or
The Elastic Curve/Beam Design
Thanks
Go Blue!
gcass02 1 year ago
This has been flagged as spam show
@purdueMET
Very helpful series of videos on Mohr's Circles.
Currently in Statics class and it would be much more difficult without your videos.
Your are probably busy with research, but Is it possible you could do a video on
Mohr's Circle for strain
and/or
The Elastic Curve/Beam Design
Thanks
Go Blue!
gcass02 1 year ago
This has been flagged as spam show
@purdueMET
Very helpful series of videos on Mohr's Circles.
Currently in Statics class and it would be much more difficult without your videos.
Your are probably busy with research, but Is it possible you could do a video on
Mohr's Circle for strain
and/or
The Elastic Curve/Beam Design
Thanks
Go Blue!
gcass02 1 year ago
@purdueMET Great explanation. A tough thing I've also noticed people having is being able to tell whether or not a shear (tau xy or tau yx) is positive or negative if the sign is not given.
ryanevius 1 year ago
thank u sir.............
arunaraj01 1 year ago
tahnks alot sir...
arunaraj01 1 year ago
thanks allot sir your away better than our chairman ......... :)
maximus318i 1 year ago
Thanks a lot Sir !
I really hoped u were in my university !
Thanks again
Hatimoooo 1 year ago
Yes sir. A 3D would be nice. I appreciate you taking the time to get back to me. However, I understand your busy and may not have the time since you have other classes you are attending too.
sxymichael4u3030 1 year ago
Professor, your videos have really helped... A LOT. Is there any way you can do one dealing with pricipal stress in the x,y,and(z) directions, along with Txy. Most problems I do have only sigma x,y and Txy. I would be very grateful.
Thank You
sxymichael4u3030 1 year ago
Hey you videos have really helped A LOT. Is there any way you can do one dealing with pricipal stress in the x,y,and(z) directions, along with Txy. Most problems I do have only sigma x,y and Txy. I would be very grateful.
Thank You
sxymichael4u3030 1 year ago 3
@sxymichael4u3030 I'm glad the videos have helped. I'm not sure if I will get time to do a 3D problem (not teaching strength of materials this semester). However, several people have asked. I probably should do one.
purdueMET 1 year ago
This has been flagged as spam show
why did the angle equal 2 phi?
is the equation 2 phi + 2 phi prime = 90 a rule?
how are phi and phi prime related.
and for the shear stress, is clock wise induced rotation positive, and counterclockwise induced rotation negative?
jfkljdflklskad 1 year ago
why did the angle equal 2 phi?
is the equation 2 phi + 2 phi prime = 90 a rule?
how are phi and phi prime related.
and for the shear stress, is clock wise induced rotation positive, and counterclockwise induced rotation negative?
jfkljdflklskad 1 year ago
Comment removed
jfkljdflklskad 1 year ago
Very nicely explained and very relaxing for the viewer. Really a pleasure to watch! Thank you very much!
imaginaruis 1 year ago
Thanks a Million on the video. Very clearly explained my 7 pages of hell in a simple manner.
Regards,
Aeronautical and Aerospace Tech Singapore
Kanesh
VANASUTRA 1 year ago
Thanks a Million on the video. Very clearly explained my 7 pages of hell in a simple manner.
Regards,
Aeronautical and Aerospace Tech Singapore
Kanesh
VANASUTRA 1 year ago
I'm totally appreciate it! Just a question, my lecturer thought us the y-axis arrow (shear stress) pointing downwards. Is it wrong for me if i use upwards like u?
jackysew 1 year ago
Thankyou for your video contribution , its amazing how a short video explained clearly can provides the core understanding of a topic that overstated textbooks and fancy notation fail to do.
Regard civil eng undergraduate from Australia
s2174031 1 year ago 13
@s2174031 You're most welcome. I'm glad the videos are doing the job for you (mate).
purdueMET 1 year ago 9
You should make a video on 3D Mohr's Circle... Great vids...
qh25 1 year ago
I'm taking a summer crash course in Mechanics of Materials at the University of South Alabama. You're videos on the Mohr circle are clear and precise. I'm positive I'm going to ace the quize tommorow thanks to you :-)
trueskill425 1 year ago
@trueskill425 I hope your quiz went well.
purdueMET 1 year ago
@trueskill425 did u fail the test or what
crazyman12346 1 year ago
@crazyman12346 I did great
trueskill425 8 months ago
@trueskill425
crazyman12346 1 year ago
There are too many comments for me to respond to all of them. I'm glad you are all findng the videos helpful. I'm planning more videos during this summer.
purdueMET 1 year ago
@purdueMET Thanks for your engagement, as an engineering student in germany, i found your video helpful to refresh my memory (an certainly more appealing than digging the info in books)
Thanks
lilcrazyfuzzy 1 year ago
@lilcrazyfuzzy I'm glad the video helps. Good luck with your studies.
purdueMET 1 year ago
awesome. helped me heaps thanx!
hiney1 1 year ago
You the man! So simple, clarified everything... good to know there are at least some good lecturers out there.
bhol056 1 year ago
Thanks so much !
tyfa3 1 year ago
Perfectly paced explanation. Its so easy now that I can even explain it to my class mates! (though I still direct them to your video!! ) Great job!!
djspincycle 1 year ago
@djspincycle I'm glad the videos help. Thanks for directing your friends to the videos. Sounds like you asre finding out that you learn a lot about a subject by trying to explain it to others. Well done young Jedi ;-)
purdueMET 1 year ago
You're welcome. I'm glad the video helped.
purdueMET 1 year ago
This has been flagged as spam show
thanx a lot sir
no more fear of mohr's circle lol
indoscythian 1 year ago
thanx a lot sir
no more fear of mohr's circle lol
indoscythian 1 year ago
@addernoir01 You have it right. Remember that the angle on Mohr's circle is twice the angle you have to rotate in real life. Mohr's circle is drawn using stress axes rather than geometrix axes.
purdueMET 1 year ago
life saver!!! also have an exam monday lmao
sjacques64 1 year ago
@sjacques64 Best of luck to you.
purdueMET 1 year ago
@purdueMET thanks. I wish teachers would suggest youtube as a way of learning. I only found out about this through a friend. very helpfull though.
sjacques64 1 year ago
@sjacques64 Thanks. If you like the videos, tell your friends.
purdueMET 1 year ago
Great video. Very clear and straight forward. Thanks a lot.
sakkarugzo 1 year ago
@sakkarugzo You're most welcome. More videos in the works.
purdueMET 1 year ago
thanks a million - that is make sense for me just and leave no questions about mohr's circle!
and more - this is first time when I found it is interesting in solving stress transformations problems!:)
arthurstraizhys 1 year ago
@arthurstraizhys Excellent. I'm glad the video helped you.
purdueMET 1 year ago
Thanks alot, thats really cleared it up for me, exam monday!!
1timbob 1 year ago
@1timbob Good luck on the exam!
purdueMET 1 year ago
thank u very much!!!
SaSheTToS 1 year ago
@SaSheTToS You are most welcome. I'm glad the videos are helping you.
purdueMET 1 year ago
Thank you very much!
While my instructor did a great job at explaining this concept in our lecture, I didn't seem to fully understand the concept; this video has helped me understand (and helped me understand how to apply it for my test coming up).
Cheers,
BCIT, Canada
rsimzer 1 year ago
@rsimzer Super. I like the idea of people being able to augment a good classroom lecture with my videos.
purdueMET 1 year ago
Thank you sooooo much!! This helped a lot, exams in 3 weeks! Liverpool University...
ena875 1 year ago
@ena875 You're welcome. Best of luck with your exams.
purdueMET 1 year ago
Got to say a massive thank you for these videos, fantastic explanations, they've saved me for my 3rd year structural geology course! (University of Glasgow, Scotland)
chuffinawker 1 year ago
@chuffinawker Extremely cool. Glad they helped.
purdueMET 1 year ago
Your video's are extremely helpful! I was wondering if you could post an eccentric axial loading problem?
THANKS
bbarbe5 1 year ago
this saved me for my machine design final. i was soooo rusty on Mohr's circle! (University of Portland)
wrenthereaper 1 year ago
@wrenthereaper Glad it helped!
purdueMET 1 year ago
Can you please move to Australia and be our lecturer :) So much more straight forward. Keep up the good work
Dickman000 1 year ago
@Dickman000 Well Mate, it's a bit of a commute. Actually, if I could find a gig there, I'd be tempted.
purdueMET 1 year ago
i really appreciate these videos. i find it easy to learn from your teaching, i really hope you continue your work. on my internet search for videos about these problems, this is the best i've found so far.
marenggaze 1 year ago
@marenggaze I most appreciate you taking time comment. Definitely more videos on the way.
purdueMET 1 year ago
Thank You! (Colorado School of Mines)
jose6914 1 year ago
@jose6914 You're most welcome. I hope the videos help.
RMF
purdueMET 1 year ago
THANKS! (Colorado School of Mines!)
jose6914 1 year ago
also a 3rd year mech eng student from Australia (Monash, woo!)
your lectures are straightforward and easy to follow, cheers dude.
darko411 1 year ago
@darko411 Thanks for the encouragement. I'm glad the videos help.
purdueMET 1 year ago
@darko411 Thanks much. Cool to hear from someone in Melbourne!
purdueMET 1 year ago
Great Stuff. I am a undergraduate in Mech Engg from India and right now trying to get Engineering licesnse in Canada. To get my license i need to pass exams and on eof them is SOM. your video has helped me to absorb Mohrs circle concept in 15 minutes. Your video was more helpful for me than the text book. Thanks a lot and please keep up the good work.
ssnhm 1 year ago
@ssnhm Goo luck with your exams. I'm glad the videos helped. I am planning more.
purdueMET 1 year ago
thanks a lot for da video on mohr circle.helped a lot!!!
bryanmadtha 1 year ago
i myself am from australia, im actually in 3rd year engineering. However my question is very different to the one you've evaluated. I am supposed to draw mohr's circle, determine all stresses on an element, find principal stresses AFTER the element has been rotated 30 degrees clockwise. Its very confusing lol
clintz967 2 years ago
Hello sir,
Just wondering if you could make a video about mohr's circle with a rotation? Im meant to be doing this question but with a 30 degree counter clockwise rotation, and Im asked to find principal stresses and "stresses on an element".. and im really clueless. Please help?
clintz967 2 years ago
No problem. I just did a video showing how to calculate rotation angles and principle stresses. I hope it helps.
Where are writing from?
purdueMET 2 years ago
this video helped me to remember the mohr circle for my FE exam! thanks a lot.
coryddollanganger 2 years ago
thnx mate..... Its really understanding....
rkhkkk 2 years ago
I'm glad it helps. Where are you?
purdueMET 2 years ago
Well... Im Rameez a civil engg student and m doing a case study on mohr's circle... Im from pakistan....
rkhkkk 2 years ago
If u dnt mind can i have ur yahoo ID ?
rkhkkk 2 years ago
finally I understand the Mohr's cirlce, thanks so much, it's really helpful.
Saudi Arabia
DAWMPHF 2 years ago
You're most welcome. I'm glad the video was helpful to you. There will be more videos this semester.
purdueMET 2 years ago
can you show an example where you have to draw 3 circles to determine max Txy, P1,P2, Pz
j2460howard 2 years ago
This video really really helped me, specially 'cause you used stresses with differents signs than the ones you used in the first video... I guess my professor should see this...
Really, you made a good explanation, thanks!!
jeovi07 2 years ago
thanks alot my exam is about to start now ^^ hope ill pass
thanks alot ^^
clouduos 2 years ago
Good Luck!
purdueMET 2 years ago
thanx a lot!!! that was very helpfull...if u cud also explain bending moment, shear stress n torsion, bending of beams....i know its to much :P:P:P i will pass my exam!!!
bunt011 2 years ago
Thank you, this was very helpful
osse0005 2 years ago
Thank you, this was very usefull!
Greeting from Argentina :)
Cryyl0 2 years ago
You are most welcome. I'm glad it helps you.
I'll be posting more, so check back occasionally.
Is there a topic you would like to see?
RMF
purdueMET 2 years ago