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Кольцо под действием двух сосредоточенных сил смещенных относительно оси

Расчет плоских колец

кольцо под действием трех сосредоточенных сил
δx = P ⋅ r3 [ 0,6366 ⋅ ( sin(θ) - cos(θ) ⋅ θ ) + 0.5 ⋅ sin(θ) ⋅ cos(θ) - θ ] / (E ⋅ J)
δy = P ⋅ r3 [ 0,6366 ⋅ ( sin(θ) - cos(θ) ⋅ θ ) + 0.5 ⋅ sin(θ)2 - 1 ] / (E ⋅ J)

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

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


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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