Mechanics of Materials: Lesson 6 - Factor of Safety Explained, Example Problem

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  • เผยแพร่เมื่อ 30 ต.ค. 2024

ความคิดเห็น • 64

  • @ciamaechamae7678
    @ciamaechamae7678 ปีที่แล้ว +102

    corrections:
    pin C components: Cx & Cy
    resultant at C = 7.45 kips
    diameter for pin C: 8=7.45/2[pi(d^2)/4] = 0.77 inches = approx 1 inch

    • @christymatta
      @christymatta หลายเดือนก่อน +3

      thank you sm! I was confused

  • @orhanp1071
    @orhanp1071 4 ปีที่แล้ว +125

    Hi sir! I am 52 years old mech eng following up your lessons with great pleasure. I would like to kindly remind you that the diameter of pin C should be 0.77 in while pin B has 0.78 in (almost the same) diameter. I presume you underline the importance of double shear pin design in this problem. Thanks and best regards..

    • @emilalopez5353
      @emilalopez5353 4 ปีที่แล้ว +29

      I am glad that you caught that the diameter of pin C should be 0.77 because I am a student following his examples and was going crazy thinking I’d done my math wrong.

    • @orhanp1071
      @orhanp1071 4 ปีที่แล้ว +12

      Prof. Hanson is the king of the instructors. You might keep on following his lessons..

    • @stevemaldonadomelendez1790
      @stevemaldonadomelendez1790 4 ปีที่แล้ว +8

      Thanks for the catch! I was running my numbers over and over again until I saw this comment. Regardless this guy is a lifesaver though.

    • @A.Hisham86
      @A.Hisham86 ปีที่แล้ว

      Exactly my point! I checked out 3 times the calculation, and I found each time, .77 in at B, and .78in at C.

    • @mikes_channel
      @mikes_channel ปีที่แล้ว +2

      @@emilalopez5353 3 years later and this comment is still blessing me lmao. Just saved me as well

  • @fernandozanella1395
    @fernandozanella1395 4 ปีที่แล้ว +24

    You're such an amazing teacher!

  • @markcorpuz1017
    @markcorpuz1017 4 ปีที่แล้ว +5

    Thank you Prof. Hanson. Your TH-cam channel help me a lot. Pray for me for my upcoming Fe exam! Civil Engineer.

    • @kushalankola1978
      @kushalankola1978 2 ปีที่แล้ว

      Here reviewing for my FE as well! How did you do?

  • @andyge868
    @andyge868 3 ปีที่แล้ว +37

    Pin C should be .77 too otherwise it doesn't make sense, a double shear pin with the same SF should be smaller compare to a single shear.

    • @Ssm19494
      @Ssm19494 2 ปีที่แล้ว

      you have to choose between different diameter pins, .25 inch, .5 inch, .75 inch, 1 inch. as an engineer which one do you choose? OBVIOUSLY the 1 inch

    • @haydennagy1601
      @haydennagy1601 2 ปีที่แล้ว +2

      @@Ssm19494 you would choose 1", not 1.5" as he instructed, he divided 12.56/7.45 instead of the other way around.

  • @kramhoogness
    @kramhoogness 4 ปีที่แล้ว +41

    Should your math on pin C be 7.45 divided by (8*2*0.785) before you take the square root? Did you do the division backwards? I got the diameter at pin C to be .77 inches. Rounded up to 1 inch. Both pins are the same are they not? Thanks!

    • @johnk7178
      @johnk7178 4 ปีที่แล้ว +4

      You are correct. If you listen to him as he is doing the calculations he multiplies the denominator together, than divides it by the numerator (7.45kips). I believe he meant to key his calculator as 7.45kips divided by ANS on his calculator.

    • @mohammadhamza3937
      @mohammadhamza3937 4 ปีที่แล้ว +1

      @@Jordan-vf4up That should be the correct answer

    • @Ssm19494
      @Ssm19494 2 ปีที่แล้ว

      @@mohammadhamza3937 i got 0.77, he got .78, doesnt really matter when you have to round up to 1 inch for the parameters of the question

  • @nikitaperumal5883
    @nikitaperumal5883 2 ปีที่แล้ว +4

    i should just skip my lectures and watch yours. These videos are so good

  • @ShAlAmAnAyA3
    @ShAlAmAnAyA3 4 ปีที่แล้ว +5

    Now I look at things differently. I am that idiot who always overloads things and thinks it's ok. Now I understand why. So informative!

  • @haroonwazir6490
    @haroonwazir6490 4 ปีที่แล้ว +15

    I really love your videos. But there's a slight problem. I would prefer you put your ads either at the start or at the end of the video. Since they really ruin the much needed concentration and focus. I would voluntarily watch the ads to give your videos the support they need.
    Regards

  • @MuhammadAhmad-xz7tu
    @MuhammadAhmad-xz7tu 3 ปีที่แล้ว +14

    Hello Professor, thank you for making it easy on us. Last step when finding diameter of pin C is 0.77” as I double checked. I think your calculator calculated wrong!!!! Please clarify.
    Thanks 😊

    • @Ssm19494
      @Ssm19494 2 ปีที่แล้ว +1

      you have to choose between different diameter pins, .25 inch, .5 inch, .75 inch, 1 inch. as an engineer which one do you choose? OBVIOUSLY the 1 inch

  • @The_Red_Sky
    @The_Red_Sky 3 ปีที่แล้ว +7

    Sir!last diameter of pin C would be .770 instead of 1.298. you placed 7.45 in denumerator instead of placing it in numerator

    • @sphanie
      @sphanie 3 ปีที่แล้ว +1

      yea that's what i got too

    • @aliciapark523
      @aliciapark523 4 หลายเดือนก่อน +1

      Same

  • @katenyasudais9944
    @katenyasudais9944 9 หลายเดือนก่อน

    There are so many ways professors are defining the factor of stress
    Am soon concluding that the stress given, ( the ultimate or design or alllowable ) watever u call it is always the numerator

  • @susielopez393
    @susielopez393 3 ปีที่แล้ว +10

    Shouldn’t the factor is safety be FS= sigma(actual)/ sigma(allow) ?

    • @brandonpiereder287
      @brandonpiereder287 2 ปีที่แล้ว +5

      Yeah I'm wondering this also. If tau_allowable = 12 kips, with a S.F. of 1.5, tau_actual (as in the actual stress the pin can handle before yielding) should be 18 kips and that's what we design the diameter of the of the pin for... Yes? No?

  • @basedvillager
    @basedvillager 2 ปีที่แล้ว +6

    The reason the pin diameter error occurred is because he accidentally thought the d^2 term was in the numerator instead of the denominator.

  • @sagefairyy
    @sagefairyy 3 ปีที่แล้ว

    your youtube channel is a life saver !!!

  • @hegelquiroz5839
    @hegelquiroz5839 ปีที่แล้ว

    Pin C is 0.77" to nearest 0.25" then, is 1" his answer is correct if you inverse it so it would be (1.298^(-1)) where is = to 0.77"

  • @christopherraris8667
    @christopherraris8667 3 ปีที่แล้ว

    Fantastic! I'm enjoying it.
    Thank you much explaining!

  • @tashrifa.m
    @tashrifa.m หลายเดือนก่อน

    My saviour

  • @manuboker1
    @manuboker1 3 ปีที่แล้ว

    Wonderful Lectures ! Thanks.

  • @brentsrx7
    @brentsrx7 2 ปีที่แล้ว

    Jeff, you are amazing.

  • @wt_4
    @wt_4 9 หลายเดือนก่อน

    Thank you 🌹🌺

  • @kyeler
    @kyeler 2 ปีที่แล้ว

    1newton/1millimeter is equivalent to 1n/1m^3
    in other words, 10^3
    so, a newton divided by a millimeter is not a megapascal, but a kilopascal.
    Do the math for 13kn/7853.98m^-3 and you will see that it equals 1655 pascal or 1.65 kPa

  • @amyzhao6427
    @amyzhao6427 ปีที่แล้ว

    Hi Professor, I have a question. Since we are calculating the minimum diameter, aka minimum area A, as to the equation T=F/A, shouldn't we use the Maximum T(T allowable) which is 12ksi, instead of T actual?

    • @jaywhaley4688
      @jaywhaley4688 ปีที่แล้ว +1

      This question is asking for the minimum diameter of the pins ~to allow for~ a factor of safety of 1.5. Another way of approaching this problem is to think about T(allowable)/12 kN as the defined value in which the system will fail, and T(actual) as the value we are changing in order to receive a F.O.S of 1.5. Diameter is simply the variable within T(actual) that determines the value of T(actual) itself. When we increase the diameter, the shear stress decreases (diameter is in the denominator) resulting in a lower T(actual) value and a higher F.O.S. Therefore, when we increase the diameter, F.O.S increases as well. This is why the question asks for the ~minimum~ diameter

    • @amyzhao6427
      @amyzhao6427 ปีที่แล้ว

      @@jaywhaley4688 Ahhh! We're using T(actual)8 instead of 12 just to be conservative aka satisfy the safety factor:D Thank you for the help

  • @marwanrababah4704
    @marwanrababah4704 3 ปีที่แล้ว +2

    how comes the actual stress is less than the allowable one?

  • @GolemGamingWWR
    @GolemGamingWWR หลายเดือนก่อน

    There is something I am confused about. The allowed shear stress should be smaller than the actual, so shouldn't the actual be allowed times factor of safety which is 12*1.5=18 instead of 12/1.5=8? Other wise people follow the allowed 12 exceeding the actual 8 and gets it damaged.

    • @GolemGamingWWR
      @GolemGamingWWR หลายเดือนก่อน

      Despite these tiny mistakes, you're still the best instructor in this field!

  • @ethang6569
    @ethang6569 2 ปีที่แล้ว

    Why arent the x and y reaction forces at c oriented parallel and perpendicular to the pin connection respectively?

  • @UzsDc1UZ
    @UzsDc1UZ 2 ปีที่แล้ว

    The dodge example was soo funny 😂😂

  • @mahmoudelbayoumi8800
    @mahmoudelbayoumi8800 3 ปีที่แล้ว

    Does the ultimate stress equal the allowable ??

  • @naffalsultan5088
    @naffalsultan5088 4 ปีที่แล้ว +1

    I love you thank you

  • @samernoierat5312
    @samernoierat5312 4 ปีที่แล้ว

    you are great

  • @kevinrath4223
    @kevinrath4223 4 ปีที่แล้ว

    If Fab is positive should the force be going to the right?

    • @adriftfoolish1
      @adriftfoolish1 4 ปีที่แล้ว

      When looking at the sum of Moments about A, Fab is causing a counter-clockwise rotation. It is positive in that regard. If you are taking the sum of all X forces, then Fab is negative.

    • @jobewankenobi5430
      @jobewankenobi5430 4 ปีที่แล้ว +2

      Think of positive and negative numbers as verification for your “guess direction.” If the number is positive then you guessed correctly!

  • @prathameshjoshi3486
    @prathameshjoshi3486 4 ปีที่แล้ว

    If we are designing for complete system why don't we consider area of pin at point A

  • @keshaunsumler9376
    @keshaunsumler9376 3 ปีที่แล้ว +1

    Why do we not use the y component to solve for shear in the pin?

  • @RaMisy12
    @RaMisy12 4 ปีที่แล้ว +1

    👍👍👍

  • @shayanahmad9945
    @shayanahmad9945 3 ปีที่แล้ว

    It would be grateful if you shorten the ads...Thank you

  • @Universityoftech
    @Universityoftech 4 ปีที่แล้ว

    the angle that i got is 63.43 from arctan 4/3 is that wrong? how did you get 60?

    • @estrogenfest
      @estrogenfest 4 ปีที่แล้ว +2

      it looked like he made it up. how did you get arctan 4/3?

  • @juniorjay001
    @juniorjay001 3 ปีที่แล้ว +1

    All the letters being confused is confusing to follow