Bolt thread question

Discussion in 'Technical Help' started by Nick748R, Aug 15, 2013.

  1. I have done some quick "back of the fag packet" calculations to try to quantify the loads and stresses on the disc bolts....


    ASSUMPTIONS

    - A sports motorcycle + 2 chubby occupants . Weight = 200kg [bike] + 100kg passenger/rider. Mtot = 400 kg
    - All braking force through front brake only. No aerodynamic or friction drag
    - All loads transferred by shear through disc bolts
    - Steady state deceleration "a" at -1g (-9.81m/s2) factored by 2 to account for safety (pessimistic)

    Geometry Data
    Wheel Rolling Radius R = 290mm = 0.29m [measured off my 749]
    2 discs
    Disc Bolt PCD D = 90mm. Bolt PC Rad "r" = 45mm = 0.045m [measured off my 749]
    Disc Bolts: 5 x 8mm diameter


    Braking Loads:
    Braking Load "F" at tyre contact point F = Mtota = 400 x 2 x 9.81 = -7848 N

    Torque on wheel "T" due to Braking Load F: T = FR = Mtota R = 400 x 2 x 9.81x 0.29 = 2275 Nm

    Assume this Torque T is reacted equally at each disc through 5 disc bolts at radius "r".
    Load per disc bolt "P":
    P = T / (2x5r) = 2275 / (2 x 5 x 0.045) = 5057 N

    Shear stress "t" on each bolt: t = P/(Bolt CSA) = 5057 / (PI x 4x4) = 5057 / 50.27 = 100 N/mm2

    Allowable Shear Stresses (difficult to find reliable data, so bear with me...)

    10.9 Alloy Steel: Allow Shear Stress = 400 N/mm2
    A2-70 Stainless: Allow Shear Stress = 300 N/mm2

    Safety Margins (Reserve Factors R.F.)

    Based on a VERY pessimistic braking assumption for a heavily loaded bike (-2g deceleration, 2 passengers)

    Alloy Steel 10.9 bolts: R.F. = Allowable Stress / Applied Stress = 400 / 100 = 4.0 (Bolts can accomodate 4 times the load!)

    Stainless A2-70 bolts: R.F. = Allowable Stress / Applied Stress = 300 / 100 = 3.0 (Bolts can accomodate 3 times the load!)


    SUMMARY

    Based on my simple sums, there appears to be sufficient margin in either type of bolt.



    I have probably made an over simplification of the analysis, and of course I have not factored in the effects of fatigue or dynamic or thermal loads or taken into account environmental degradation effects....etc.

     
    #81 RickyX, Aug 20, 2013
    Last edited: Aug 20, 2013
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  2. Stainless A2-70 Yield strength approx 450 N/mm2
    Alloy steel 10.9 Yield strength approx 900 N/mm2
     
  3. Jeez.......Is this still going on?

    This is what doesn't make a good forum :tongue:
     
  4. Only two more pages and it beats the northern ride out thread ;-)
     
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  5. oooh is there a ride out - whoohoo when...ohh no..I sense sarcasm..lol
     
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  6. Don't blame me for that one. That was down to the "bureaucrats" in here :smile:
     
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  7. I love a good technical discussion that requires me to get my old Casio calculator out and drag up "O" Level Physics equations of motion...

    Triste...moi??? Oui, c'est vrai..

    :tongue:
     
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  8. Obviously.
     
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  9. Is it ? What is an accepted safety margin for this type of application ?
     
  10. #90 Ghost Rider, Aug 21, 2013
    Last edited by a moderator: Aug 21, 2013
  11. I think even I am a bit tired of this subject now.

    The horse has bolted............
    Risible attempt at humour...I think I'll stick to my day job. :tongue:
     
    #91 RickyX, Aug 21, 2013
    Last edited: Aug 21, 2013
  12. Bolted... I see what you did there :)
     
  13. yes very clever :smile:
     
  14. when I saw that graph.....

    I shot my bolt !
     
  15. Back on topic, after 7 years in the wilderness...have I got these sizes right, please?

    [​IMG]
     
  16. And, more importantly, can richgilb use stainless steel bolts ? :innocent:

    With reference to your picture, the calliper mounting bolts, (2-off per calliper) should be M10x35 & the thread is a 1.5 pitch.
    Sorry, can't help with the other bolt as it would mean removing one from my bike to check. If you are struggling for an answer though & nobody with a loose calliper knows I could try removing one of mine to confirm exactly what they are.

    Just had a look in my workshop manual & it refers to the calliper "screws" as being M8 with a 1.25 pitch, but does not give a length. However, it should be easy enough to measure the length of one of these bolts with a steel rule.

    Just tried measuring the M8 bolts for length & 40mm looks to be the correct length.
    The heads of these bolts though are only about half the height of a normal M8 cap head bolt, which will almost certainly make them harder to source if you are looking to replace your existing bolts. Might be better to get your existing bolts re-plated, (roguard plated & yellow passivated) depending upon how concerned you are with originality.
     
    #96 CAT3, Jun 9, 2020
    Last edited: Jun 10, 2020
  17. I can help on the torque of said bolts. 28 -32 nm with medium strength threadlock. HTH
     
  18. You can get genuine Brembo spares at good prices from Guzzibits, those specific bolts should be available I would have thought :upyeah:
     
  19. https://www.westfieldfasteners.co.uk/A4_ScrewBolt_SHCapLow_M8.html
     
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