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Felge und Nabe messen, um Speichenlängen zu berechnen: Unterschied zwischen den Versionen

→‎Was wird gemessen?: Bilder hinzugefügt
(→‎Was wird gemessen?: Bilder hinzugefügt)
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The first step is to calculate the length of the third side of a triangle according to the cosine rule formula,
The first step is to calculate the length of the third side of a triangle according to the cosine rule formula,
        _________________
[[Datei:Speichenlaenge 1.png|center]]
C = \/A2 + B2 - 2AB cos θ
 


where
where


    A and B are the two known sides, and
*    A and B are the two known sides, and θ (theta) is the angle between them.
    θ (theta) is the angle between them.


A is indicated by the purple line in the illustration at the left, and B by the orange line. C (in red) is the third side, the one you calculate.
A is indicated by the purple line in the illustration at the left, and B by the orange line. C (in red) is the third side, the one you calculate.
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The second step gives the spoke length, by accounting for the spacing of the hub flange away from the centerline. This step applies the Pythagorean Theorem for the hypotenuse (slant side) of a right triangle, with a slight correction to account for the size of the spoke holes in the hub:
The second step gives the spoke length, by accounting for the spacing of the hub flange away from the centerline. This step applies the Pythagorean Theorem for the hypotenuse (slant side) of a right triangle, with a slight correction to account for the size of the spoke holes in the hub:


        _______
[[Datei:Speichenlaenge 2.png|center]]
L =\/ C2 + w2 - d/2


where:
where:


    C is the result of the previous formula, as shown by the red line in the image at the right,
*    C is the result of the previous formula, as shown by the red line in the image at the right,
    w is the spacing of the spoking flange from the centerline, as shown by the blue or green line in the image, and
*    w is the spacing of the spoking flange from the centerline, as shown by the blue or green line in the image, and
    d is the diameter of the spoke holes in the hub.
*    d is the diameter of the spoke holes in the hub.


Each of the hub's two flanges may be a different distance from the centerline, as indicated by the blue and green lines -- image modified from one by keithonearth on Wikipedia.
Each of the hub's two flanges may be a different distance from the centerline, as indicated by the blue and green lines -- image modified from one by keithonearth on Wikipedia.
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