Formeln Flashcards

1
Q

Leistung P

A

= M⋅2π⋅n

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2
Q

Teilkreis dt

A

= z⋅mt

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3
Q

(Tangential) Modul mt

A

= mn / cos (β)

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4
Q

Modul m (bezogen auf Teilung und Teilkreisd.)

A

= p/π = d/z

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5
Q

Übersetzung i

[Drehzahl]

A

= n1 / n2

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6
Q

Übersetzung i

[Winkelgeschw.]

A

= ω1 / ω2

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7
Q

Übersetzung i

[Moment]

A

= M2 / M1

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8
Q

Übersetzung i

[Teilkreisd.]

A

= d2 / d1

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9
Q

Übersetzung i

[Zähnezahl]

A

= z2 / z1

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10
Q

iges

A

= i1 ⋅ i2 ⋅ i3….

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11
Q

i übersetzung ins langsame

A

i > 1

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12
Q

i übersetzung ins schnelle

A

0 < i < 1

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13
Q

Kopfkreisd. dk

A

= d + 2 ⋅ mn

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14
Q

Fußkreisd. df

A

= d - 2 ⋅ (mn + c)

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15
Q

Grundkreisd. db

A

= d ⋅ cos (αt)

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16
Q

(Tangential) Eingriffswinkel αt

A

= arctan ( tan(αn) / cos(β) )

17
Q

Tangentialkraft Ft

A

= (Mt ⋅ 2 ) / d

18
Q

Radialkraft Ft

A

= Ft ⋅ tan(αt)

19
Q

Axialkraft Fa

A

= Ft ⋅ tan(β)

20
Q

Zahndicke Sn

A

= mn ⋅ π/2

21
Q

Wirkungsgrad η

[Leitstung]

A

= P2 / P1

22
Q

Drehzahl n

A

= ω / 2π

23
Q

Betriebskraftverhältniss Φ

A

= Fsa / Fa = 𝛿p/(𝛿s+𝛿p)

24
Q

Nachgiebigkeit σ (Platte)

A

lk / (E ⋅ A)

25
Q

Nachgiebigkeit σ (Schraube)

A

ls / (E ⋅ π/4 ⋅ ds^2)

26
Q

ieff

A

= ig - 2

27
Q

Schraubenfedersteifigkeit c

A

= (G ⋅ d^4) / (8 ⋅ Dm^3 ⋅ if)

28
Q

Finger Regel Kräfte am Zahnrad

A

Tang
Rad
Axial

Treibend —-> Tang entgegen der Drehrichtung