Gear Design | Spur Gears
Gear Design | Spur Gears

Introduction to design of spur gears In this video we will learn how to design spur gears. Here we will learn the design of spur gears for its mechanical strength, for dynamic loading conditions, and finally for surface durability. We will meet all the design requirements conforming to the AGMA standard. In a really simplified manner. So, let’s get into it. Before starting the design will have the following design requirements. or design inputs. Here the gear should be able to transform an angular velocity to another angular velocity RPM1 to RPM2 and it should transmit a specified
amount of power also there will be some space constraints so this design should be able to meet
that also And most of the time material of design is an input to the designer So using this design data, the designer has to find out The following gear parameters
such as Number of teeth on both the gears Pitch circle diameter addendum and dedundum face width and tooth thickness so these are the outputs we are expecting from a gear design so lets see how we can deduce values from this input data We will start the design by considering the space limitation constraint the designer cant design a gear of any size if he does so there can be two problems. First, the gear may not be economical at all Second, the gear may not get fit into the space which is supposed to get fit so there is a space constraint when designing the gears Assume the desired gear should go within the desired area. Something like this. So the designer cannot xxxx say if some this diameters of these two gears they should less than the allowed width, say eigthy percent of the allowed witdth so this is one equation And we also know the speed ratio of the gear so we can write another equation like this Next step, determination of number of teeth on each gear first step, you have to assume a number of teeth t one for small gear here, I should say something to you: desing is an open ended problem there can be many solutions for a single problem and all of them can be right according to your first assumption the design may change but you have to star like this if you know t one you can find out number of teeth on second gear using this relation and this .. diametal pitch Now we got the number of teeth on both of gears but still there is a small issue it has to be checked for The issue of interference Interference means if your gear has got profile below base circle that won’t be involute shape so if this portion of the gear comes in contact with the meshing gear it can cause material erosion and huge problems of noise but you could avoid this interference if following conditions are satisfied if number of teeth are more ….greater than this value then there won’t be any interference So for check for this if this conditions is true evertything is perfect you’ve got number of teeth in both gears but if this condition is wrong then you have increase value of t1 and have to redo this calculation again and here aw means addendum value and xxxx per xxx of gear and usually sin of phi takes 20 degres in that case you can take addedum of one module and deddendum one point two module and module is defined like this Next, design for strength of gear or your gear should able to withstand the force acting on the gear here, if there is a force acting on the gear the gears has two components one: tangential and one radial the tangential ….induce a bending stress over the xxx of the gear and if the maximum value is bending stress induced over here is more than the allowed stress limit the gear will fail you can avoid this can of failures by designing with help of an equation call Lewis bending equation before preceding to the Lewis bending equation we should determine tangential force first you know tangential force at gear multiplied by xx velocity And you know the power transmitted so you can solve for Ft Now, according to Lewis bending equation maximum bending stress induced over here will be this

100 thoughts on “Gear Design | Spur Gears”

  1. Benivator2 says:

    Sir I'm sure your very smart. Smart enough to know your English is shit. Please hire any average Joe off the street to read your script because science is your strong suit, not English……….

  2. Nikhil Reddy says:

    In the lewis bending equation ,why the bending stress is not depending on the material we use?

  3. Mario Maqueda says:

    I´m sorry, as a non native speaker, it is very hard to understand what you are saying.

  4. CMAenergy says:

    I see you know how to cut teeth
    I am doing a non profit research for many years, My lathe needs to gears
    Do you cut them and what would it roughly cost
    My guess is the gears are knowing they are straight cut no more then 6 inch dia. at

  5. Pablo Herrera says:

    … Thanks for sharing !

  6. weewilly2007 says:

    When does social and cultural considerations such as pride in regional identity and subsequent non-standard accent become unacceptable? When it can be determined that it is being applied as impedance to conveyance of information, that would be linked to pace of transference and conversion of more physical commodities – like labor into goods and service, or practice into experience. If resources including time, space and raw materials need to be paced and regulated in its conversions and depletion, humans should be permitted to work on other facets of being human in the interim (is this why it's called the "mean time"?), versus inventing techniques to generate resistance and abrasive forces in the social and cultural realms in such deceptive ways. Especially when such forces have been known to get out of hand, leading to outright destruction and, not just collateral damage, but trauma on a psycho-dynamic level, that may take far longer to stabilize or regenerate

  7. NIKHIL SHUKLA says:

    learn engineering i like your videos too much …………your video is just fantastic i have almost all your video …… are doing appreciable work please keep on continue………….please make more video and make world knowledgeable………….may god help you……………from India.

  8. Sanket More says:

    classic mallu accent….lol

  9. David Wootton says:

    This is so interesting and so well put together but I had great trouble in understanding your English Sir

  10. ibrahim ayman says:

    i hardly understand his english the lecturers speaking needs to be improved

  11. RELR12 says:


  12. Dhirendra mandal says:

    excellent /////

  13. Monster 12345 Cool says:

    What a sound like professor in madras

  14. John Dsouza says:

    What happened to the voice

  15. Vishnu Rajan says:

    are u indian….from(kerala)…..familiar accent

  16. TheKingDavid says:

    Can you add subtitles to your videos to make it easier for people to understand because I had a hard time understanding what you said

  17. Luna says:

    poo in the loo

  18. AHIRE POOJA says:

    Sir can you tell me " why in design of gear pair, difference in brinell hardness number of pinion and gear is kept 30

  19. mahesh tom says:


  20. Neil Rodrigues says:

    sir could u plz throw some light on the factors we need to consider in designing a timing Pulley?

  21. Chirag Rathod says:

    after shown this lecture especially know about spur gears thanks

  22. Peter CCR ENG says:

    I was interested to listen to this, but all i could understand was bood bood bood bood bood.

  23. Navdeep Kaushal says:

    Hello, thanks for the great video. Can you please tell me how to find the value of stress in the Agma strength equation and also the values of the other factors, so that we can insert the values in the equation and find the value of 'b'. Thanks again.

  24. Syafiq Jay says:

    if using "diametral pitch" automatically means that u are design this gear in "inch" unit right ?
    Or else u will use "module" if u are working in "milimeter" …. i have some doubt bout it…

  25. kishore Kkr says:

    can u upload videos for rack and pinion

  26. djimy djims says:

    goode job

  27. Revell Cornell says:

    Sorry, you need to slow down when you're speaking as your pronunciation is not so good. Even the subtitles have words 'missing' because the 'sub-titler' did not understand.

  28. Andy Garag says:

    haha this is awesome

  29. Simon says:

    All the people whinging about the accent remember some points.
    this guy is teaching you for free
    he obviously knows more than you
    he knows a second language which he speaks quite well
    if he still lives in india he can live very well on a far lower wage than you
    Combine all these points with your shitty attitude and you will realise why all the jobs are going over seas

  30. Mech E says:

    I have a pinion with OD = 40 mm and no. of teeth = 13, pitch of rack is 7.9 mm.
    I want to manufacture similar rack and pinion but i need pinion and rack details for manufacturing.
    I did some calculations and all my values are matching with the above rack and pinion except number of teeth = 14 but number of teeth are 13 .
    Why is my number of teeth not matching with the actual value?

    of teeth (Z)

     Enter Module(m)

    Pressure Angle(α)

    Addendum (ha)

    Dedendum (

    Total Tooth
    height (h)

    Enter Pitch
    Diameter (d)

    Pitch (p)

    Base Circle
    diameter (db)

    diameter (da)

    Root diameter

  31. Marx Regis says:

    Good explanation sir!

  32. Vivek Sagar says:

    Please pronounce "design" correctly. its so irritating how u pronounce it :/

  33. Mark Cuckerberg says:

    durka durka durka
    mohammed jihad durka.

  34. Junior bravo says:

    i dont understand your english

  35. Stanley John says:

    well explained.

  36. MrSailbadthesinner says:

    These videos have the potential to be excellent but you NEED to get a native English speaker to correct the spelling and record the voice over.

  37. Sevam Sevam says:

    owes omega

  38. John Vantatenhove says:

    maybe he hates your accent , be nice. thank you Learn Enigineering!

  39. BEN KADİR says:

    awesome video.That's very simplest gear video,thanks for share in this video.

  40. SHARAD TIWARI says:

    nice one

  41. Johann Davel De Beer says:

    big thanks man but its so hard to understand

  42. Nishant Paul says:

    sir you're great but i couldn't catch up with your accent….

  43. A Dervish in the lanes of Love says:

    Interesting.. English !!!

  44. Mousa Alzaki says:

    I found your video very helpful and entertaining, thank you very much sir and keep up the good work.

  45. John Melville says:

    Very clear, to me anyway, and I'm as English as they come (as you can see from my childhood photo on the Norfolk Broads!). Great video

  46. Adam Loi says:

    i like how he just used 'this value' to substitute for the whole bunch of algebras for the formula to check for interference lel

  47. Moses Joshua says:

    Awesome! Thank you so much for the tutorial!

  48. Demostene Neacsiu says:

    Where is the other narrator?

  49. Robax Hossain says:

    pls learn english bro and learn speaking. pls go to British council and speak with foreigners. It is horrible…….I know a lot of Indians but your accent is totally horrible. I know a guy from Karrila who lived with me and he speaks good English. you mix up English with your mother tongue. I cannot be attentive what you say.If you don't do it, I will try to upload a video.

  50. Solsist __ says:


  51. SIR KAMRAN says:

    if a person teaches you single word he is your teacher and in every religion teachers deserve respect and encouraging comments.

  52. Jaesung Edward Lee says:

    Such a shame so many ppl from India has good intentions to share knowledge, but have unpleasant accent. Their accent they have is such a barrier.

  53. Ko0okieeZ says:

    For the whiny bitches complaining about his accent, You don't like his accent then fuck off and find another video. beggars can't be choosers. You want American accent them go find the nearest school that teaches it. Fucking unthankful bitches

  54. Krishna Das says:

    Thank you very much.I really appreciate your work.please do post more such type of videos.

  55. Wolf Berzerker says:

    Wouldn’t it be nice if English speaking people made videos like this?

  56. Prabhat Mishra says:

    Very good explanation

  57. Parikshit K says:

    Nice video

  58. ahmed khattab says:

    Please change the indian narration, the accent is hard to be understood. Also, the way of teaching is much weaker than other sections.

  59. ARUNKUMAR says:

    I appreciate the clarity in this lecture… Was really helpful.

  60. pavan kumar says:

    worst explanation.

  61. Suabro Boro says:

    what the hell language is it?

  62. 三石 says:

    There's no subtitles behind

  63. F Pl says:

    please work on your pronunciation!

  64. Nezar Abuzahieh says:

    good vid , can u please provide contact strss equation ?

  65. Benjie Leshansky says:

    What does Phi stand for in 3:18?

  66. Kadari Kranthi Kumar says:

    Absolutely true , I will support u guys

  67. MazsolaHUN21 says:

    I have to admit it was a really usefull, and well-structured video.
    But i had to stop for a minute to spam 1:03 for a bit 😀

  68. Henrique Carneiro says:

    What about fatigue? Wouldn't it be necessary to take into account?
    Also, congratulations for the well put video.

  69. Shivarudra Navi says:

    Pronunciation is not good, his voice not clear when FtV=Power transmit , v=? (no clear voice for it),, it is not good presentation, It will be understandable when we have to listen repeatedly.

  70. Q Tip says:

    Idk what you guys are talking about. That's a pure all-american accent right there!

  71. Marcus Taber says:

    What is your first language? I imagine you learned english at a young age and that your accent is as normal in your country as an english accent is in england or an american accent is in the US. My wife is west bengali but was adopted at the age of 7 by americans so she has no detectable accent so my interest in India has gone up exponentially.

  72. Ramachandran Kalarikkal says:

    very interesting and informative

  73. my trend for new think says:

    What is the centre formulation for joint 2 gears… Or 3

  74. theNegativeHunter says:

    your video is ruined by your accent :/ srry

  75. Emanuele Mangialardi says:

    "xxxx" at minute 1:47 is the word "obviously"

  76. Kyle Countryman says:

    geares clideres motiones tieded time lapses relachted relachted clideres split attracions in motions clyderes attached fix water proofing clyderes slan?algin mtions couples mt still motions tie fix weaighted uses reues reersions defractions currents 3 cliders sieses sun diales tools day td

  77. pratik bhosale says:

    How to design a ratchet wheel and pawl?

  78. Tushaar says:

    1:02 Your welcome


    Thanks macha😁

  80. Dr.S. Aluri says:

    Hello. do you know where I can get some gear wheels made in India? I would appreciate any information. Thank you.

  81. Rahul rocks says:

    Hell yaar…try to learn pronunciation first

  82. Ahmed Al-Ebrashy says:


  83. maryum iftikhar says:

    thank you
    in the case of chain and sprocket mechanism should we consider these parameters?

  84. Jesse McElroy says:

    They need to work on their pronunciations. It makes the videos really hard to follow. Designer for example, I had to turn on closed captioning to figure out what he was saying.

  85. Adilson Chrestani J. says:

    I'm not a native english speaker and I can understand perfectly what our friend is saying. Some people around here are too spoiled man

  86. Private Factory says:

    Goddamn I hope you've worked on your pronunciation over the years, apart from that I liked your video.

  87. Crisanto Ruiz says:

    what is the formula to calculate the SAP?

  88. temba mujaji says:

    5 years later and still very helpful…thank you

  89. Tejas Panchal says:

    Calculate and show one helical gear dimensions from motor specs..

  90. Armani Faysal says:

    Ingli/ indi!?!? I have nating to say!

  91. Cva Balan.R says:

    Where can I refer this calculations?

  92. imrane mokhtari says:

    your videos are all wonderfully put together. may the ONE bless your knowledge and bring the learned people to your channel.

  93. SuperCrastan says:

    Adendum dedendum wheeeee pa pa para pa, parapara pa whee pa pa para pa

  94. Chuck Ma says:


  95. Sun Kiki says:

    Hey your videos have very good quality. I want to see more videos about machine elements(shaft, belt, chain, bearing). It would help engineering students and others who interested in these.

  96. vinu shaji says:

    Great Video Thank you

  97. Semper Reformanda says:

    In English please….

  98. Venkat Sai says:

    This video is surely gonna help me complete my project. But could you please tell me how did you get that equation for interference at 3:25.


    Thanks sir great apreciable work

  100. DAYANAND KASLE says:

    Thx sir

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