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Basic maths for fork conversions

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    Basic maths for fork conversions

    Many of us are "upgrading" their front suspensions with more recent front forks but is it all good or not ?
    There is in fact a simple equation that links the different elements that define the bike's geometry.
    R: front wheel radius
    D: offset between fork legs and fork axis ( measured directly on top yoke for std front forks )
    Alpha: rake angle of the fork ( measured to horizontal axis) expressed in degrees
    T: trail ( distance between the point of contact of the front wheel and the intersection of the fork axle with the ground).
    The equation is:
    T=R/tan(alpha)-D/cos(90-alpha).
    Let's take an example with an 1100 Kat
    Alpha= 60.5°
    D= 50 mm
    R= 320 mm
    T= 320/1.767-50/.87=123.63 mm
    Now let's fit a GSXR 1100 RSU fork with 17" wheels while keeping the same ride height by lengthening the front fork legs.
    R=300 mm
    D= 32 mm
    T= 300/1.767-32/.87=133 mm
    So here we have considerably increased the trail despite a smaller wheel because of the decreased offset of the GSXR fork.
    To correct this we can lower the front to increase the rake angle.
    Let's take one degree increase corresponding to roughly a 26 mm lowering for a bike with 1515 mm span between the wheels.
    Alpha= 61.5°
    T=300/1.842-32/.879=126.5 mm
    We are now very close to the bike's original geometry.
    To conclude, I would say that it's quite safe to change to more modern forks BUT you will typically loose some nimbleness due to the increased trail unless you lower the front end that in turn will make you loose ground clearance
    Life is not so easy...
    Last edited by John Kat; 02-15-2012, 10:39 AM. Reason: typo
    sigpicJohn Kat
    My bikes: CB 77, GS 1000 ST Cafe Racer with GSXR 1052 engine, GS 1000 ST, XR 41 Replica with GS 1085 engine,
    GS 1100 SZ Katana with GS 1135 EFF engine, KTM Superduke 1290 R 2020

    #2
    John,
    I looked at your calculations and went back to my spreadsheet to compare. The bottom line conclusion is that:
    when you put a GSXR forks on you tend to increase trail and more so with an 18" wheel than a 17" wheel
    Also with an 1100 triple there is more trail than with the the 750 triples.
    But you can generally fully compensate compensate by changing the head angle or raising the rear with longer shocks (e.g. 1" for 18" wheel with 1100 RSU triple).

    However in reference to Chuck's post, he was objectively looking for something like 95 mm of trail where as the stock trail is for even the first generation GSXR750 is 107mm with the GS1100ED being 116mm.

    Last edited by posplayr; 05-18-2016, 01:44 PM.

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