Võlli arvutus (0)

300 300 300 300 1200 D 1 =300 D 2 = 500 X F 1 =10.2 kN f 1 =5.1 90 ° α 1 = 90° F 2 =6.2 kN f 2 =3.1 kN α 2 = 0° z y A B C D T (Nm) 763.9 763.9 0 vertikaaltasand z F 1RES =15.3 kN V A =11.47 kN V B =3.83 kN horisontaaltasand y F 2RES =9.3 kN H A =4.65 kN H B =4.65 kN M vert  (kN*m) 0 M hor  (kN*m) 2.79 0 3.44 M RES  (kN*m) 0 3.71 3.61


Võlli arvutus Algandmed  rpm 2π := σadm 80 N mm 2 := D1 30cm := P 80kW := D2 50cm := n 1000rpm := a 30cm := 1) Pöördemomentide arvutus.  ω n 60 explicit ALL ,  1 10 3 × 2 π ⋅ ⋅ 60 → 104.72 = := rad/s M P s ⋅ ω explicit ALL ,  80 kW ⋅ s ⋅ 104.7 → 763.9 N m ⋅ ⋅ = := T 763.9N m ⋅ := Väändemomentide epüür TA_C TD_B = 0 N ⋅ m ⋅ = TC_D M 763.9 N m ⋅ ⋅ = := 2) Jõud rihma vedavas ja veetavas harus Fn F f − = Fn1 2 T ⋅ D1 explicit ALL ,  2 763.9 N ⋅ m ⋅ ⋅ 30 cm ⋅ → 5.1 kN ⋅ = := T Fn D 2 ⋅ = Fn2 2 T ⋅ D2 explicit ALL ,  2 763.9 N ⋅ m ⋅ ⋅ 50 cm ⋅ → 3.1 kN ⋅ = := Fn 2T D = f1 5.1kN := f2 3.1kN :=


F1 2 f1 ⋅ explicit ALL ,  2 5.1 kN ⋅ ⋅ → 10.2 kN ⋅ = := F2 2 f2 ⋅ explicit ALL ,  2 3.1 kN ⋅ ⋅ → 6.2 kN ⋅ = := F1 10.2kN := F2 6.2kN := F1RES F1 f1 + explicit ALL ,  10.2 kN ⋅ 5.1 kN ⋅ + → 15.3 kN ⋅ = := F2RES F2 f2 + explicit ALL ,  6.2 kN ⋅ 3.1 kN ⋅ + → 9.3 kN ⋅ = := 3) Võlli painutavad jõud horisontaal ja vertikaaltasandil FV F1RES 15.3 kN ⋅ = := FH F2RES 9.3 kN ⋅ = := 4) Paindemomentide epüürid Toereaktsioonid ja paindemomendid vertikaaltasandil  VA FV 0.9 1.2 ⋅ 11.47 kN ⋅ = := VB FV 0.3 1.2 ⋅ 3.83 kN ⋅ = := MAv MBv = 0kN m ⋅ = MCAv VA a ⋅ 3.44 kN m ⋅ ⋅ = := MDBv VB 2 ⋅ a 2.3 kN m ⋅ ⋅ = :=


Toereaktsioonid ja paindemomendid horisontaaltasandil  HA FH 0.6 1.2 ⋅ 4.65 kN ⋅ = := HB FH 0.6 1.2 ⋅ 4.65 kN ⋅ = := MAh MBh = 0kN m ⋅ = MDBh HB − 2 ⋅ a 2.79 − kN m ⋅ ⋅ = := MCAh HA − a ⋅ 1.40 − kN m ⋅ ⋅ = := 5) Resultantpaindemomentide epüür MAres MBres = 0kN m ⋅ = MCres MCAv 2 MCAh 2 + 3.71 kN m ⋅ ⋅ = := MDres MDBv 2 MDBh 2 + 3.61 kN m ⋅ ⋅ = := 5) Ohtliku lõike asukoht punktis C,    Mmax 3.71 kN m ⋅ := 6) Võlli läbimõõdu määramine MIIIres Mmax 2 T 2 + explicit ALL ,  3.71 kN m ⋅ ⋅ ( ) 2 763.9 N ⋅ m ⋅ ( ) 2 + → 3.79 kN m ⋅ ⋅ = := σmax MIIIres Wp = Wp π D 3 ⋅ 32 = d 3 MIIIres 32 ⋅ π σadm ⋅ ≥ d 3 MIIIres 32 ⋅ π σadm ⋅ 78.42 mm ⋅ = := Vastus: Võlli läbimõõt peab olema 80mm 

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• Võlli skeem
• Võlli arvutus.xmcd