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Три сосредоточенные силы действуют на часть кольца

Расчет плоских колец на прочность

Расчет колец

0 < α < θ
M = P ⋅ r ⋅ [ 0,3183 ⋅ ( sin(θ) ⋅ θ+ cos(θ) + cos(α) ⋅ sin(θ)2 - 1 ) - sin(θ) + sin(α) ]
N = P ⋅ ( 0,3183 ⋅ cos(α) ⋅ sin(θ)2 + sin(α) )
Q = P ⋅ ( cos(α) - 0,3183 ⋅ sin(α) ⋅ sin(θ)2 )

θ < α < π
M = P ⋅ r ⋅ [ 0,3183 ⋅ ( sin(θ) ⋅ θ+ cos(θ) + cos(α) ⋅ sin(θ)2 - 1 ) ]
N = P ⋅ 0,3183 ⋅ cos(α) ⋅ sin(θ)2
Q = 0,3183 ⋅ sin(α) ⋅ sin(θ)2 - P
δx = P ⋅ r3 [ - 0,5 ⋅ sin(θ)2 + 0,6366 ⋅ ( sin(θ) ⋅ θ + cos(θ) - 1 ) ] / (E ⋅ J)
δy = P ⋅ r3 [ 0,5 ⋅ ( sin(θ) ⋅ cos(θ) + θ ) + 0.6366 ⋅ ( sin(θ) ⋅ θ + cos(θ) - 1 ) - sin(θ) ] / (E ⋅ J)


Расчет колец продольные и поперечные силы
δx, δy - увеличение диаметра кольца в направления х и y
P = H
r = мм
αo =
θo =
Е = МПа
J = мм4
   
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