Dane |
Obliczenia |
Wyniki |
N= |
13 |
[kW] |
|
|
|
|
|
|
|
n= |
1000 |
[obr/min] |
|
|
|
|
|
|
|
i= |
3,5 |
|
|
|
|
|
|
|
|
Lh= |
12000 |
[godz.] |
|
|
|
|
|
|
|
|
|
|
1.Obliczenia wstępne |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dobór przełożenia na poszczególnych |
|
|
|
|
|
|
|
|
|
stopniach |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Uc= |
3,5 |
|
|
Uc= |
3,50 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
U1= |
2,1 |
|
|
U1= |
2,10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
U2= |
1,7 |
|
|
U2= |
1,67 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Zmiana obciążenia w czasie |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Produkcja jednostkowa |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
Obciążenie wałów schematu układu |
|
|
|
|
|
|
|
|
|
napędowego |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
N= |
13 |
[kW] |
Moc P=N |
|
|
|
|
|
|
n= |
1000 |
[obr/min] |
Obroty n1=n |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
n1= |
1000 |
[obr/min] |
|
n1= |
1000,00 |
[obr/min] |
|
|
|
|
|
|
|
|
|
|
|
|
|
n2=n/U1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
n2= |
476,190476190476 |
[obr/min] |
|
n2= |
476,19 |
[obr/min] |
|
|
|
|
|
|
|
|
|
|
|
|
|
n3=n/U2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
n3= |
600 |
[obr/min] |
|
n3= |
600,00 |
[obr/min] |
|
|
|
|
|
|
|
|
|
|
|
|
|
n1>n2>n3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Tj - moment [Nm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
T1= |
124,15 |
[Nm] |
|
T1= |
124,15 |
[Nm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
T2=T1*U1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
T2= |
260,715 |
[Nm] |
|
T2= |
260,72 |
[Nm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
T3=T2*U2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
T3= |
434,525 |
[Nm] |
|
T3= |
434,53 |
[Nm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
T1<T2<T3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Pwyj= |
27,3 |
[kW] |
|
Pwyj= |
27,3 |
[kW] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
1.1.Dobór materiałów na zębnik i koło |
|
|
|
|
|
|
|
|
|
zębate (obróbka cieplna, naprężenia |
|
|
|
|
|
|
|
|
|
dop.), stopień pierwszy. |
|
|
|
|
|
|
|
|
|
Dla jednostkowej produkcji kół zębatych |
|
|
|
|
|
|
|
|
|
dobieramy: |
|
|
|
|
|
|
|
|
|
materiał na zębnik-C55 PN-93/H-84019 |
|
|
|
|
|
|
|
|
|
Twardość = 270 HB |
|
|
|
|
|
|
|
|
|
Rm=680 [MPa] |
|
|
|
|
|
|
|
|
|
Re=390 [MPa] |
|
|
|
|
|
|
|
|
|
materiał koła zębatego-C40 PN-93/H-84019 |
|
|
|
|
|
|
|
|
|
Twardość = 255 HB |
|
|
|
|
|
|
|
|
|
Rm=580 [MPa] |
|
|
|
|
|
|
|
|
|
Re=335 [MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2.Dopuszczalne naprężenia stykowe |
|
|
|
|
|
|
|
|
|
2.1.Podstawa próby zmęczeniowej |
|
|
|
|
|
|
|
|
|
(bazowa liczba cykli): |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
dla zębnika |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20*10^6 |
|
NHlim1= |
20*10^6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
dla koła zębatego |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
17*10^6 |
|
NHlim2= |
17*10^6 |
|
|
|
|
|
|
|
|
|
|
|
|
2.2.Równoważna (ekwiwalentna) |
|
|
|
|
|
|
|
|
|
liczba cykli obciążenia |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
n1= |
1000 |
[obr/min] |
NHeq1= |
327456000 |
|
|
NHeq1= |
327456000 |
|
|
|
|
|
|
|
|
|
|
|
n2= |
476,190476190476 |
[obr/min] |
NHeq2= |
155931428,571429 |
|
|
NHeq2= |
155931428,571429 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
Lh= |
12000 |
[godz.] |
Lh - liczba godzin pracy przekładni |
|
|
|
|
|
|
c= |
1 |
|
c - liczba zazębień zęba w czasie jednego |
|
|
|
|
|
|
|
|
|
obrotu(ze schematu napędu) |
|
|
|
|
|
|
|
|
|
kHeq - współczynnik uwzględniający zmianę |
|
|
|
|
|
|
|
|
|
obciążenia napędu w czasie |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
kHeq= |
0,4548 |
|
|
kHeq= |
0,45 |
|
|
|
|
|
|
|
|
|
|
|
mH= |
6 |
|
mH - współczynnik kierunkowy nachylonego |
|
|
|
|
|
|
|
|
|
odcinka na wykresie Wohlera |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
2.3.Współczynnik trwałóści pracy |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
NHeq1= |
327456000 |
|
|
|
|
|
|
|
|
NHeq2= |
155931428,571429 |
|
ZN1= |
0,010179484673768 |
|
|
|
|
|
NHlim1= |
20*10^6 |
|
|
|
|
|
|
|
|
NHlim2= |
17*10^6 |
|
ZN2= |
0,018170380142676 |
|
|
|
|
|
mH= |
6 |
|
|
|
|
|
|
|
|
|
|
|
dla |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ZN1(2) = 1,0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Przyjmujemy |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ZN1= |
1 |
|
|
ZN1= |
1,00 |
|
|
|
|
ZN2= |
1 |
|
|
ZN2= |
1,00 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2.4.Naprężenia krytyczne przy bazowej |
|
|
|
|
|
|
|
|
|
liczbie cykli |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sHlim1=2HB1+70 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sHlim1= |
610 |
[MPa] |
|
sHlim1= |
610,00 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sHlim2=2HB2+70 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sHlim2= |
580 |
[MPa] |
|
sHlim2= |
580,00 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
2.5.Dopuszczalne naprężenia stykowe |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sH1= |
499,090909090909 |
[MPa] |
|
sH1= |
499,09 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sH2= |
474,545454545455 |
[MPa] |
|
sH2= |
474,55 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
|
|
|
SH - współczynnik bezpieczeństwa: |
|
|
|
|
|
|
|
|
|
`w przypadku normalizacji, ulepszania lub |
|
|
|
|
|
|
|
|
|
hartowania zebów na wskroś SH=1,1 |
|
|
|
|
|
|
|
|
|
`dla hartowania powierzchniowego, |
|
|
|
|
|
|
|
|
|
nawęglania, azotowania SH=1,2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
SH= |
1,1 |
|
Przyjmujemy SH=1,1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
2.6.Obliczeniowe dopuszczalne |
|
|
|
|
|
|
|
|
|
naprężenia stykowe: |
|
|
|
|
|
|
|
|
|
`dla przekładni walcowych z kołami o |
|
|
|
|
|
|
|
|
|
zębach prostych oraz z kołami o zębach |
|
|
|
|
|
|
|
|
|
skośnych przy niewielkiej różnicy twardości |
|
|
|
|
|
|
|
|
|
HB1 i HB2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sHP=sH2=474,545 [MPa] |
|
|
|
sHP= |
474,55 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3.Dopuszczalne naprężenia na |
|
|
|
|
|
|
|
|
|
zginanie. |
|
|
|
|
|
|
|
|
|
3.1.Podstawa próby zmęczeniowej |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
NFlim= |
4000000 |
[cykli] |
|
|
|
|
|
|
|
|
|
|
3.2.Równoważna (ekwiwalentna) |
|
|
|
|
|
|
|
|
|
liczba cykli obciążenia |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
c= |
1 |
|
|
|
|
Lh= |
12000 |
[godz.] |
|
|
|
n1= |
1000 |
[obr/min] |
NFeq1= |
223997472 |
|
|
NFeq1= |
223997472 |
|
n2= |
476,190476190476 |
[obr/min] |
|
|
|
|
|
|
|
mF= |
6 |
|
NFeq2= |
106665462,857143 |
|
|
NFeq2= |
106665462,857143 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
KFeq= |
0,3111076 |
|
|
KFeq= |
0,31 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3.3.Współczynnik trwałości |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
YN1= |
0,511253325248433 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
YN2= |
0,578547953260626 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
dla |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
YN1(2)= |
1,00 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
3.4.Naprężenia krytyczne |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sFlim1=1,75HB1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sFlim1= |
472,5 |
[MPa] |
|
sFim1= |
472,50 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sFlim2=1,75HB2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sFlim2= |
446,25 |
[MPa] |
|
sFlim2= |
446,25 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
3.5.Dopuszczalne naprężenia na |
|
|
|
|
|
|
|
|
|
zginanie |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sFP1= |
141,75 |
[MPa] |
|
sFP1= |
141,75 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sFP2= |
133,875 |
[MPa] |
|
sFP2= |
133,88 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
YA= |
0,75 |
|
YA -współczynnik uwzględniający wpływ |
|
|
|
|
|
|
|
|
|
dwustronnego przekładania obciążenia na |
|
|
|
|
|
|
|
|
|
ząb |
|
|
|
|
|
|
|
|
|
`dla przekładni bez zmiany kierunku |
|
|
|
|
|
|
|
|
|
obracania = 1,0 |
|
|
|
|
|
|
|
|
|
`dla przekładni za zmianą kierunku |
|
|
|
|
|
|
|
|
|
obracania = (0,7…0,8) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4.Graniczne naprężenia dopuszczalne |
|
|
|
|
|
|
|
|
|
przy przeciążeniach |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dla naprężeń stykowych: |
|
|
|
|
|
|
|
|
|
sHPmax1=2,8Re1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sHPmax1= |
1092 |
[MPa] |
|
sHPmax1= |
1092,00 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sHPmax2=2,8Re2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sHPmax2= |
938 |
[MPa] |
|
sHPmax2= |
938,00 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Dla naprężeń gnących |
|
|
|
|
|
|
|
|
|
sFPmax1=0,8Re1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sFPmax1= |
312 |
[MPa] |
|
sFPmax1= |
312,00 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sFPmax2=0,8Re2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sFPmax2= |
268 |
[MPa] |
|
sFPmax2= |
268,00 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
5.Obliczenie średnicy zębnika i dobór |
|
|
|
|
|
|
|
|
|
innych parametrów przekładni. |
|
|
|
|
|
|
|
|
|
5.1.Obliczeniowa średnica zębnika. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
T1= |
124,15 |
[Nm] |
|
|
|
U1= |
2,1 |
|
|
|
|
sHP= |
474,545454545455 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
d`1= |
89,7120927219693 |
[mm] |
|
d`1= |
89,71 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
kd= |
77 |
[MPa] |
kd=77 MPa -dla kół o zębach prostych, |
|
|
|
|
|
|
ybd= |
0,6 |
|
ybd- współczynik szerokości wieńca |
|
|
|
|
|
|
|
|
|
(w stosunku do średnicy zębnika) |
|
|
|
|
|
|
|
|
|
ybd=b/d1 =f(HB rozmieszczenie kół |
|
|
|
|
|
|
|
|
|
względem łożysk) = 0,6 |
|
|
|
|
|
|
kHB= |
1,06 |
|
kHB - współczynnik nierównomierności |
|
|
|
|
|
|
|
|
|
rozkładu obciążenia względem lini styku, |
|
|
|
|
|
|
|
|
|
kHB= f(HB rozmieszczenie kół względem |
|
|
|
|
|
|
|
|
|
łożysk ,ybd) = 1,06 |
|
|
|
|
|
|
kA= |
1,1 |
|
kA - współczynnik uwzględniający zew. |
|
|
|
|
|
|
|
|
|
obciążenie dynamiczne = 1,1 |
|
|
|
|
|
|
|
|
|
Zazębiene zewnętrzne (+) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5.2.Szerokość wieńca koła zębatego. |
|
|
|
|
|
|
|
|
|
b2 = b = ybd*d`1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
b2= |
53,8272556331816 |
[mm] |
|
b2= |
53,83 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Szerokość wieńca zębnika b1 = b2 + (3…5) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
b1= |
58,8272556331816 |
[mm] |
|
b1= |
57,83 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Dla przekładni o zębach prostych (b=0°) |
|
|
|
|
|
|
z`1= |
19 |
|
5.3.Przyjmując wstępnie z`1=19, |
|
|
|
|
|
|
|
|
|
obliczamy moduł zazębienia |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
m`= |
4,72168909062996 |
[mm] |
|
m`= |
4,72 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Moduł m` zaokrąglam do wartości zbliżonej |
|
|
|
|
|
|
|
|
|
do mn ,mm zgodnej z PN-ISO 54:2001 |
|
|
|
|
|
|
|
|
|
Przyjmuję mn= 4,5 |
|
|
|
mn= |
4,50 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
5.4.Liczba zębów zębnika |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
z1= |
19,9360206048821 |
|
|
z1= |
19,94 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
|
|
|
z1 - liczba całkowita (z1 ≥ 17) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
5.5.Liczba zębów koła |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
U1= |
2,1 |
|
|
|
|
188,40 |
|
z1= |
19,9360206048821 |
|
|
|
|
|
|
|
|
|
z2= |
41,8656432702523 |
|
|
z2= |
41,87 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
|
|
|
z2 - liczba całkowita |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5.6.Odległość zerowa osi |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
aWO= |
139,053743719052 |
[mm] |
|
aWO= |
139,05 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Zaokrąglam aWO do wielkości aW zgodnej |
|
|
|
|
|
|
|
|
|
z PN-93/M-88525 |
|
|
|
|
|
|
|
|
|
Przyjmuję aW= 100 [mm] |
|
|
|
aW= |
100,00 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
5.7.Średnice okręgów kół zębatych |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
mn= |
4,5 |
|
` tocznych |
|
|
|
|
|
|
z1= |
19,9360206048821 |
|
|
|
|
|
|
z2= |
41,8656432702523 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
dW1= |
89,7120927219693 |
[mm] |
|
dW1= |
89,71 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
dW2= |
188,395394716136 |
[mm] |
|
dW2= |
188,40 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
` wierzchołków zębów |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
da1= |
98,7120927219693 |
[mm] |
|
da1= |
98,71 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
da2= |
197,395394716136 |
[mm] |
|
da2= |
197,40 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
` stóp zębów |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
df1= |
78,4620927219693 |
|
|
df1= |
78,46 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
df2= |
177,145394716136 |
|
|
df2= |
177,15 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
5.8.Przełożenie rzeczywiste przekładni |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
urz= |
2,1 |
|
|
urz= |
2,10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
6.Sprawdzanie obliczeniowych |
|
|
|
|
|
|
|
|
|
naprężeń stykowych. |
|
|
|
|
|
|
|
|
|
6.1.Siła obwodowa w zazębieniu |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
T1= |
124,15 |
[Nm] |
|
|
|
|
dW1= |
89,7120927219693 |
[mm] |
|
|
|
|
|
|
|
Ft= |
2767,7428144444 |
[N] |
|
Ft= |
2767,7428144444 |
[N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
6.2.Prędkość obwodowa kół |
|
|
|
|
|
|
n1= |
1000 |
[obr/min] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
n= |
4,69731419055842 |
[m/s] |
|
n= |
4,70 |
[m/s] |
|
|
|
|
|
|
|
|
|
|
|
|
|
6.3.Klasa dokładności = f(n , b) → 8 |
|
|
|
|
|
|
|
|
|
6.4.Współczynnik międzyzębnego |
|
|
|
|
|
|
|
|
|
obciążenia dynamicznego |
|
|
|
|
|
|
|
|
|
kHn=f(n, klasa dokładności, twardość |
|
|
|
|
|
|
|
|
|
zębów) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
kHn= |
1,06 |
|
|
kHn= |
1,06 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
6.5.Współczynnik uwzględniający |
|
|
|
|
|
|
|
|
|
nierównomierność rozkładu obciążenia |
|
|
|
|
|
|
|
|
|
między parami zębów w zazębieniu |
|
|
|
|
|
|
|
|
|
kHa=f(n, klasa dokładności) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
` dla zębów prostych |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
kHa= |
1 |
|
|
kHa= |
1,0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
6.6.Jednostkowa obliczeniowa siła |
|
|
|
|
|
|
|
|
|
obwodowa |
|
|
|
|
|
|
kHB= |
1,06 |
|
|
|
|
|
kA= |
1,1 |
|
|
|
|
b2= |
53,83 |
[mm] |
|
|
|
|
|
|
WHt= |
63,5518078843304 |
[N/mm] |
|
WHt= |
63,5518078843304 |
[N/mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
6.7.Obliczeniowe naprężenia stykowe |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
U1= |
2,1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sH= |
497,754987951736 |
[MPa] |
|
sH= |
497,754987951736 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sH ≤ sHP warunek spełniony |
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
|
|
|
ZH - współczynnik uwzględniający kształt |
|
|
|
ZH= |
1,77 |
|
|
|
|
stykających się powierzchni zębów |
|
|
|
|
|
|
|
|
|
ZM - współczynnik uwzględniający własności |
|
|
|
ZM= |
275 |
[MPa1/2] |
|
|
|
mechaniczne kół zębatych |
|
|
|
|
|
|
|
|
|
Zε - współczynnik przyporu |
|
|
|
Zε= |
1,0 |
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
7.Sprawdzanie obliczeniowych |
|
|
|
|
|
|
|
|
|
naprężeń gnących |
|
|
|
|
|
|
|
|
|
7.1.Współczynnik międzyzębnego |
|
|
|
|
|
|
|
|
|
obciążenia dynamicznego przy zginaniu |
|
|
|
|
|
|
|
|
|
zęba kFn=f(n, klasa dokładności, |
|
|
|
|
|
|
|
|
|
twardość zębów) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
kFn= |
1,12 |
|
|
kFn= |
1,12 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7.2.Współczynnik nierównomierności |
|
|
|
|
|
|
|
|
|
rozkładu obciążenia względem lini styku |
|
|
|
|
|
|
|
|
|
kFb=f(HB, rozmieszczenie kół względem |
|
|
|
|
|
|
|
|
|
łożysk, yBD) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
kFb= |
1,1 |
|
|
kFb= |
1,10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7.3.Współczynnik uwzględniający |
|
|
|
|
|
|
|
|
|
nierównomierność rozkładu obciążenia |
|
|
|
|
|
|
|
|
|
między parami zębów w zazębieniu |
|
|
|
|
|
|
|
|
|
kFa=f(n, klasa dokładności) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
kFa= |
1 |
|
|
kFa= |
1,0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7.4.Jednostkowa obwodowa siła |
|
|
|
|
|
|
|
|
|
obliczeniowa przy zginaniu |
|
|
|
|
|
|
kA= |
1,1 |
|
|
|
|
|
b2= |
53,83 |
[mm] |
|
|
|
Ft= |
2767,7428144444 |
[N] |
|
|
|
|
|
|
WFt= |
69,6830075769803 |
[N/mm] |
|
WFt= |
69,68 |
[N/mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
7.5.Ekwiwalentna liczba zębów |
|
|
|
|
|
|
|
|
|
`dla zębów prostych |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
z1eq= |
19,94 |
|
|
|
|
|
z2eq= |
41,87 |
|
|
|
|
7.6.Współczynnik kształtu zębów |
|
|
|
|
|
|
|
|
|
zębnika i koła zębatego |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Obliczenia wykonuje się dla koła z pary |
|
|
|
|
|
|
|
|
|
"zębnik - koło zębate", dla którego jest |
|
|
|
|
|
|
|
|
|
mniejszy stosunek |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
YFS1= |
4,2 |
|
|
YFS1= |
4,20 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
YFS2= |
3,72 |
|
|
YFS2= |
3,72 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
sFP1= |
141,75 |
[MPa] |
sFP1/YFS1= |
33,75 |
|
|
sFP1/YFS1= |
33,75 |
|
|
|
|
|
|
|
|
|
|
|
sFP2= |
133,88 |
[MPa] |
sFP2/YFS2= |
35,9879032258064 |
|
|
sFP2/YFS2= |
35,9879032258064 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7.7.Naprężenia obliczeniowe gnące |
|
|
|
|
|
|
WFt= |
69,68 |
[N/mm] |
|
|
|
|
YFS1= |
4,20 |
|
|
|
|
YFS2= |
3,72 |
|
|
|
|
|
|
|
|
mn= |
4,50 |
[mm] |
sF1= |
65,037473738515 |
[MPa] |
|
sF1= |
65,037473738515 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sF2= |
57,6046195969704 |
[MPa] |
|
sF2= |
57,6046195969704 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
Yb= |
1 |
|
Yb - współczynnik kąta pochylenia lini zęba |
|
|
|
|
|
|
|
|
|
` dla zębów prostych = 1,0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8.Sprawdzanie wytrzymałości zębów |
|
|
|
|
|
|
|
|
|
przy przeciążeniach |
|
|
|
|
|
|
Tmax/Tnom= |
2,8 |
|
8.1.Naprężenia stykowe przy |
|
|
|
|
|
|
|
|
|
przeciążeniach |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sH= |
497,754987951736 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sHmax= |
832,903402854335 |
[MPa] |
|
sHmax= |
832,903402854335 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
8.2.Naprężenia gnące przy |
|
|
|
|
|
|
|
|
|
przeciążeniach |
|
|
|
|
|
|
sFPmax1= |
312,00 |
[MPa] |
|
|
|
|
sFPmax2= |
268,00 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sFmax1= |
182,104926467842 |
[MPa] |
|
sFmax1= |
182,104926467842 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sFmax2= |
161,292934871517 |
[MPa] |
|
sFmax2= |
161,292934871517 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
9.Siły działające w zazębieniu |
|
|
|
|
|
|
|
|
|
przekładni |
|
|
|
|
|
|
|
|
|
9.1.Moment rzeczywisty na wale |
|
|
|
|
|
|
|
|
|
wyjściowym |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
u= |
2,1 |
|
|
|
|
|
urz= |
2,1 |
|
|
|
|
|
|
|
|
T1= |
124,15 |
[Nm] |
T2rz= |
260,715 |
[Nm] |
|
T2rz= |
260,715 |
[Nm] |
T2= |
260,715 |
[Nm] |
|
|
|
|
|
|
|
|
|
|
9.2.Siły obwodowe |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
dW1= |
89,71 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
dW2= |
188,40 |
[mm] |
Ft1= |
2767,7428144444 |
[N] |
|
Ft1= |
2767,7428144444 |
[N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ft2= |
2767,7428144444 |
[N] |
|
Ft2= |
2767,7428144444 |
[N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
9.3.Siły promieniowe |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
α= |
20 |
[°] |
|
|
|
|
Ft1= |
2767,7428144444 |
[N] |
|
|
|
|
Ft2= |
2767,7428144444 |
[N] |
Fr1= |
1007,37599982515 |
[N] |
|
Fr1= |
1007,37599982515 |
[N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Fr2= |
1007,37599982515 |
[N] |
|
Fr2= |
1007,37599982515 |
[N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
10.Dobór materiałów na zębnik i koło |
|
|
|
|
|
|
|
|
|
zębate (obróbka cieplna, naprężenia |
|
|
|
|
|
|
|
|
|
dop.), stopień drugi. |
|
|
|
|
|
|
|
|
|
Dla jednostkowej produkcji kół zębatych |
|
|
|
|
|
|
|
|
|
dobieramy: |
|
|
|
|
|
|
|
|
|
materiał na zębnik-C45 PN-93/H-84019 |
|
|
|
|
|
|
|
|
|
Twardość = 215 HB |
|
|
|
|
|
|
Rm3= |
720 |
[MPa] |
Rm=720 [MPa] |
|
|
|
|
|
|
Re3= |
450 |
[MPa] |
Re=450 [MPa] |
|
|
|
|
|
|
|
|
|
materiał koła zębatego-C35 PN-93/H-84019 |
|
|
|
|
|
|
|
|
|
Twardość = 187 HB |
|
|
|
|
|
|
Rm4= |
600 |
[MPa] |
Rm=600 [MPa] |
|
|
|
|
|
|
Re4= |
315 |
[MPa] |
Re=315 [MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11.Dopuszczalne naprężenia stykowe |
|
|
|
|
|
|
|
|
|
11.1.Podstawa próby zmęczeniowej |
|
|
|
|
|
|
|
|
|
(bazowa liczba cykli): |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
dla zębnika |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
19*10^6 |
|
NHlim3= |
19*10^6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
dla koła zębatego |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16*10^6 |
|
NHlim4= |
16*10^6 |
|
|
|
|
|
|
|
|
|
|
|
|
11.2.Równoważna (ekwiwalentna) |
|
|
|
|
|
|
|
|
|
liczba cykli obciążenia |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
n2= |
476,190476190476 |
[obr/min] |
NHeq3= |
155931428,571429 |
|
|
NHeq3= |
155931428,571429 |
|
|
|
|
|
|
|
|
|
|
|
n3= |
600 |
[obr/min] |
NHeq4= |
196473600 |
|
|
NHeq4= |
196473600 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
Lh= |
12000 |
[godz.] |
Lh - liczba godzin pracy przekładni |
|
|
|
|
|
|
c= |
1 |
|
c - liczba zazębień zęba w czasie jednego |
|
|
|
|
|
|
|
|
|
obrotu(ze schematu napędu) |
|
|
|
|
|
|
|
|
|
kHeq - współczynnik uwzględniający zmianę |
|
|
|
|
|
|
|
|
|
obciążenia napędu w czasie |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
kHeq= |
0,4548 |
|
|
kHeq= |
0,45 |
|
|
|
|
|
|
|
|
|
|
|
mH= |
6 |
|
mH - współczynnik kierunkowy nachylonego |
|
|
|
|
|
|
|
|
|
odcinka na wykresie Wohlera |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
11.3.Współczynnik trwałóści pracy |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
NHeq3= |
155931428,571429 |
|
|
|
|
|
|
|
|
NHeq4= |
196473600 |
|
ZN3= |
0,020308071924167 |
|
|
|
|
|
NHlim3= |
19*10^6 |
|
|
|
|
|
|
|
|
NHlim4= |
16*10^6 |
|
ZN4= |
0,013572646231691 |
|
|
|
|
|
mH= |
6 |
|
|
|
|
|
|
|
|
|
|
|
dla |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ZN3(4) = 1,0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Przyjmujemy |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ZN3= |
1 |
|
|
ZN3= |
1,00 |
|
|
|
|
ZN4= |
1 |
|
|
ZN4= |
1,00 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11.4.Naprężenia krytyczne przy bazowej |
|
|
|
|
|
|
|
|
|
liczbie cykli |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sHlim3=2HB3+70 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sHlim3= |
500 |
[MPa] |
|
sHlim3= |
500,00 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sHlim4=2HB4+70 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sHlim4= |
444 |
[MPa] |
|
sHlim4= |
444,00 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
11.5.Dopuszczalne naprężenia stykowe |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sH3= |
409,090909090909 |
[MPa] |
|
sH3= |
409,09 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sH4= |
363,272727272727 |
[MPa] |
|
sH4= |
363,27 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
|
|
|
SH - współczynnik bezpieczeństwa: |
|
|
|
|
|
|
|
|
|
`w przypadku normalizacji, ulepszania lub |
|
|
|
|
|
|
|
|
|
hartowania zebów na wskroś SH=1,1 |
|
|
|
|
|
|
|
|
|
`dla hartowania powierzchniowego, |
|
|
|
|
|
|
|
|
|
nawęglania, azotowania SH=1,2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
SH= |
1,1 |
|
Przyjmujemy SH=1,1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
11.6.Obliczeniowe dopuszczalne |
|
|
|
|
|
|
|
|
|
naprężenia stykowe: |
|
|
|
|
|
|
|
|
|
`dla przekładni walcowych z kołami o |
|
|
|
|
|
|
|
|
|
zębach prostych oraz z kołami o zębach |
|
|
|
|
|
|
|
|
|
skośnych przy niewielkiej różnicy twardości |
|
|
|
|
|
|
|
|
|
HB3 i HB4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sHP=sH4=363,27 [MPa] |
|
|
|
sHP= |
363,27 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12.Dopuszczalne naprężenia na |
|
|
|
|
|
|
|
|
|
zginanie. |
|
|
|
|
|
|
|
|
|
12.1.Podstawa próby zmęczeniowej |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
NFlim= |
4000000 |
[cykli] |
|
|
|
|
|
|
|
|
|
|
12.2.Równoważna (ekwiwalentna) |
|
|
|
|
|
|
|
|
|
liczba cykli obciążenia |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
c= |
1 |
|
|
|
|
Lh= |
12000 |
[godz.] |
|
|
|
n2= |
476,190476190476 |
[obr/min] |
NFeq3= |
106665462,857143 |
|
|
NFeq3= |
106665462,857143 |
|
n3= |
600 |
[obr/min] |
|
|
|
|
|
|
|
mF= |
6 |
|
NFeq4= |
134398483,2 |
|
|
NFeq4= |
134398483,2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
KFeq= |
0,3111076 |
|
|
KFeq= |
0,31 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12.3.Współczynnik trwałości |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
YN3= |
0,578547953260626 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
YN4= |
0,556686817645271 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
dla |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
YN3(4)= |
1,00 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
12.4.Naprężenia krytyczne |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sFlim3=1,75HB3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sFlim3= |
376,25 |
[MPa] |
|
sFim3= |
376,25 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sFlim4=1,75HB4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sFlim4= |
327,25 |
[MPa] |
|
sFlim4= |
327,25 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
12.5.Dopuszczalne naprężenia na |
|
|
|
|
|
|
|
|
|
zginanie |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sFP3= |
112,875 |
[MPa] |
|
sFP3= |
112,88 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sFP4= |
98,175 |
[MPa] |
|
sFP4= |
98,18 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
YA= |
0,75 |
|
YA -współczynnik uwzględniający wpływ |
|
|
|
|
|
|
|
|
|
dwustronnego przekładania obciążenia na |
|
|
|
|
|
|
|
|
|
ząb |
|
|
|
|
|
|
|
|
|
`dla przekładni bez zmiany kierunku |
|
|
|
|
|
|
|
|
|
obracania = 1,0 |
|
|
|
|
|
|
|
|
|
`dla przekładni za zmianą kierunku |
|
|
|
|
|
|
|
|
|
obracania = (0,7…0,8) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
13.Graniczne naprężenia dopuszczalne |
|
|
|
|
|
|
|
|
|
przy przeciążeniach |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dla naprężeń stykowych: |
|
|
|
|
|
|
Rm3= |
720 |
[MPa] |
sHPmax3=2,8Re3 |
|
|
|
|
|
|
Re3= |
450 |
[MPa] |
|
|
|
|
|
|
|
Rm4= |
600 |
[MPa] |
sHPmax3= |
1260 |
[MPa] |
|
sHPmax3= |
1260,00 |
[MPa] |
Re4= |
315 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
sHPmax4=2,8Re4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sHPmax2= |
882 |
[MPa] |
|
sHPmax4= |
882,00 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Dla naprężeń gnących |
|
|
|
|
|
|
|
|
|
sFPmax3=0,8Re3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sFPmax3= |
360 |
[MPa] |
|
sFPmax3= |
360,00 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sFPmax4=0,8Re4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sFPmax4= |
252 |
[MPa] |
|
sFPmax4= |
252,00 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
14.Obliczenie średnicy zębnika i dobór |
|
|
|
|
|
|
|
|
|
innych parametrów przekładni. |
|
|
|
|
|
|
|
|
|
14.1.Obliczeniowa średnica zębnika. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
T2= |
260,715 |
[Nm] |
|
|
|
|
U= |
1,67 |
|
|
|
|
|
sHP= |
363,27 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
d`3= |
141,019757227413 |
[mm] |
|
d`3= |
141,02 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
kd= |
77 |
[MPa] |
kd=77 MPa -dla kół o zębach prostych, |
|
|
|
|
|
|
ybd= |
0,6 |
|
ybd- współczynik szerokości wieńca |
|
|
|
|
|
|
|
|
|
(w stosunku do średnicy zębnika) |
|
|
|
|
|
|
|
|
|
ybd=b/d3 =f(HB rozmieszczenie kół |
|
|
|
|
|
|
|
|
|
względem łożysk) = 0,6 |
|
|
|
|
|
|
kHB= |
1,06 |
|
kHB - współczynnik nierównomierności |
|
|
|
|
|
|
|
|
|
rozkładu obciążenia względem lini styku, |
|
|
|
|
|
|
|
|
|
kHB= f(HB rozmieszczenie kół względem |
|
|
|
|
|
|
|
|
|
łożysk ,ybd) = 1,06 |
|
|
|
|
|
|
kA= |
1,1 |
|
kA - współczynnik uwzględniający zew. |
|
|
|
|
|
|
|
|
|
obciążenie dynamiczne = 1,1 |
|
|
|
|
|
|
|
|
|
Zazębiene zewnętrzne (+) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
14.2.Szerokość wieńca koła zębatego. |
|
|
|
|
|
|
|
|
|
b4 = b = ybd*d`3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
b4= |
84,6118543364478 |
[mm] |
|
b4= |
84,61 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Szerokość wieńca zębnika b3 = b4 + (3…5) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
b3= |
89,6118543364478 |
[mm] |
|
b3= |
89,61 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Dla przekładni o zębach prostych (b=0°) |
|
|
|
|
|
|
z`3= |
19 |
|
14.3.Przyjmując wstępnie z`3=19, |
|
|
|
|
|
|
|
|
|
obliczamy moduł zazębienia |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
m`= |
6,90209248565332 |
[mm] |
|
m`= |
6,90 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Moduł m` zaokrąglam do wartości zbliżonej |
|
|
|
|
|
|
|
|
|
do mn ,mm zgodnej z PN-ISO 54:2001 |
|
|
|
|
|
|
|
|
|
Przyjmuję mn= 6 |
|
|
|
mn= |
6,00 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
14.4.Liczba zębów zębnika |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
z3= |
23,5032928712355 |
|
|
z3= |
23,50 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
|
|
|
z3 - liczba całkowita (z3 ≥ 17) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
14.5.Liczba zębów koła |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
U2= |
1,67 |
|
|
|
|
|
z3= |
23,5032928712355 |
|
|
|
|
|
|
|
|
z4= |
39,1721547853925 |
|
|
z4= |
39,17 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
|
|
|
z4 - liczba całkowita |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
14.6.Odległość zerowa osi |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
aWO= |
188,026342969884 |
[mm] |
|
aWO= |
188,03 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Zaokrąglam aWO do wielkości aW zgodnej |
|
|
|
|
|
|
|
|
|
z PN-93/M-88525 |
|
|
|
|
|
|
|
|
|
Przyjmuję aW= 100 [mm] |
|
|
|
aW= |
100,00 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
14.7.Średnice okręgów kół zębatych |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
mn= |
6 |
|
` tocznych |
|
|
|
|
|
|
z3= |
23,5032928712355 |
|
|
|
|
|
|
z4= |
39,1721547853925 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
dW3= |
141,019757227413 |
[mm] |
|
dW3= |
141,02 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
dW4= |
235,032928712355 |
[mm] |
|
dW4= |
235,03 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
` wierzchołków zębów |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
da3= |
153,02 |
[mm] |
|
da3= |
153,02 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
da4= |
247,032928712355 |
[mm] |
|
da4= |
247,03 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
` stóp zębów |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
df3= |
126,02 |
|
|
df3= |
126,02 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
df4= |
220,032928712355 |
|
|
df4= |
220,03 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
14.8.Przełożenie rzeczywiste przekładni |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
urz= |
1,66666666666667 |
|
|
urz= |
1,67 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
15.Sprawdzanie obliczeniowych |
|
|
|
|
|
|
|
|
|
naprężeń stykowych. |
|
|
|
|
|
|
|
|
|
15.1.Siła obwodowa w zazębieniu |
|
|
|
|
|
|
|
|
|
|
|
|
|
T3= |
260,715 |
[Nm] |
|
|
|
dW3= |
141,019757227413 |
[mm] |
|
|
|
|
|
|
Ft= |
3697,56699523404 |
[N] |
|
Ft= |
3697,56699523404 |
[N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
15.2.Prędkość obwodowa kół |
|
|
|
|
|
|
n2= |
476,190476190476 |
[obr/min] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
n= |
3,51608439140204 |
[m/s] |
|
n= |
3,52 |
[m/s] |
|
|
|
|
|
|
|
|
|
|
|
|
|
15.3.Klasa dokładności = f(n , b) → 8 |
|
|
|
|
|
|
|
|
|
15.4.Współczynnik międzyzębnego |
|
|
|
|
|
|
|
|
|
obciążenia dynamicznego |
|
|
|
|
|
|
|
|
|
kHn=f(n, klasa dokładności, twardość |
|
|
|
|
|
|
|
|
|
zębów) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
kHn= |
1,06 |
|
|
kHn= |
1,06 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
15.5.Współczynnik uwzględniający |
|
|
|
|
|
|
|
|
|
nierównomierność rozkładu obciążenia |
|
|
|
|
|
|
|
|
|
między parami zębów w zazębieniu |
|
|
|
|
|
|
|
|
|
kHa=f(n, klasa dokładności) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
` dla zębów prostych |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
kHa= |
1 |
|
|
kHa= |
1,0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
15.6.Jednostkowa obliczeniowa siła |
|
|
|
|
|
|
|
|
|
obwodowa |
|
|
|
|
|
|
kHB= |
1,06 |
|
|
|
|
|
kA= |
1,1 |
|
|
|
|
b4= |
84,61 |
[mm] |
|
|
|
|
|
|
WHt= |
54,0118750412595 |
[N/mm] |
|
WHt= |
54,0118750412595 |
[N/mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
15.7.Obliczeniowe naprężenia stykowe |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
U2= |
1,67 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sH= |
381,040025259604 |
[MPa] |
|
sH= |
381,040025259604 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sH ≤ sHP warunek spełniony |
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
|
|
|
ZH - współczynnik uwzględniający kształt |
|
|
|
ZH= |
1,77 |
|
|
|
|
stykających się powierzchni zębów |
|
|
|
|
|
|
|
|
|
ZM - współczynnik uwzględniający własności |
|
|
|
ZM= |
275 |
[MPa1/2] |
|
|
|
mechaniczne kół zębatych |
|
|
|
|
|
|
|
|
|
Zε - współczynnik przyporu |
|
|
|
Zε= |
1,0 |
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
16.Sprawdzanie obliczeniowych |
|
|
|
|
|
|
|
|
|
naprężeń gnących |
|
|
|
|
|
|
|
|
|
16.1.Współczynnik międzyzębnego |
|
|
|
|
|
|
|
|
|
obciążenia dynamicznego przy zginaniu |
|
|
|
|
|
|
|
|
|
zęba kFn=f(n, klasa dokładności, |
|
|
|
|
|
|
|
|
|
twardość zębów) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
kFn= |
1,12 |
|
|
kFn= |
1,12 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16.2.Współczynnik nierównomierności |
|
|
|
|
|
|
|
|
|
rozkładu obciążenia względem lini styku |
|
|
|
|
|
|
|
|
|
kFb=f(HB, rozmieszczenie kół względem |
|
|
|
|
|
|
|
|
|
łożysk, yBD) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
kFb= |
1,1 |
|
|
kFb= |
1,10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16.3.Współczynnik uwzględniający |
|
|
|
|
|
|
|
|
|
nierównomierność rozkładu obciążenia |
|
|
|
|
|
|
|
|
|
między parami zębów w zazębieniu |
|
|
|
|
|
|
|
|
|
kFa=f(n, klasa dokładności) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
kFa= |
1 |
|
|
kFa= |
1,0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16.4.Jednostkowa obwodowa siła |
|
|
|
|
|
|
|
|
|
obliczeniowa przy zginaniu |
|
|
|
|
|
|
kA= |
1,1 |
|
|
|
|
|
b4= |
84,61 |
[mm] |
|
|
|
Ft= |
3697,56699523404 |
[N] |
|
|
|
|
|
|
WFt= |
59,2227038544248 |
[N/mm] |
|
WFt= |
59,22 |
[N/mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
16.5.Ekwiwalentna liczba zębów |
|
|
|
|
|
|
|
|
|
`dla zębów prostych |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
z3eq= |
23,50 |
|
|
|
|
z4eq= |
39,17 |
|
|
|
|
16.6.Współczynnik kształtu zębów |
|
|
|
|
|
|
|
|
|
zębnika i koła zębatego |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Obliczenia wykonuje się dla koła z pary |
|
|
|
|
|
|
|
|
|
"zębnik - koło zębate", dla którego jest |
|
|
|
|
|
|
|
|
|
mniejszy stosunek |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
YFS3= |
4,2 |
|
|
YFS3= |
4,20 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
YFS4= |
3,72 |
|
|
YFS4= |
3,72 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
sFP3= |
112,88 |
[MPa] |
sFP3/YFS3= |
26,875 |
|
|
sFP3/YFS3= |
26,875 |
|
|
|
|
|
|
|
|
|
|
|
sFP4= |
98,18 |
[MPa] |
sFP4/YFS4= |
26,3911290322581 |
|
|
sFP4/YFS4= |
26,3911290322581 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16.7.Naprężenia obliczeniowe gnące |
|
|
|
|
|
|
WFt= |
59,22 |
[N/mm] |
|
|
|
|
YFS3= |
4,20 |
|
|
|
|
YFS4= |
3,72 |
|
|
|
|
|
|
|
|
mn= |
6,00 |
[mm] |
sF3= |
41,4558926980974 |
[MPa] |
|
sF3= |
41,4558926980974 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sF4= |
36,7180763897434 |
[MPa] |
|
sF4= |
36,7180763897434 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
gdzie: |
|
|
|
|
|
|
Yb= |
1 |
|
Yb - współczynnik kąta pochylenia lini zęba |
|
|
|
|
|
|
|
|
|
` dla zębów prostych = 1,0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
17.Sprawdzanie wytrzymałości zębów |
|
|
|
|
|
|
|
|
|
przy przeciążeniach |
|
|
|
|
|
|
Tmax/Tnom= |
2,8 |
|
17.1.Naprężenia stykowe przy |
|
|
|
|
|
|
|
|
|
przeciążeniach |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sH= |
381,040025259604 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sHmax= |
637,601915288491 |
[MPa] |
|
sHmax= |
637,601915288491 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
17.2.Naprężenia gnące przy |
|
|
|
|
|
|
|
|
|
przeciążeniach |
|
|
|
|
|
|
sFPmax3= |
360,00 |
[MPa] |
|
|
|
|
sFPmax4= |
252,00 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
sFmax3= |
116,076499554673 |
[MPa] |
|
sFmax3= |
116,076499554673 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
sFmax4= |
102,810613891281 |
[MPa] |
|
sFmax4= |
102,810613891281 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
18.Siły działające w zazębieniu |
|
|
|
|
|
|
|
|
|
przekładni |
|
|
|
|
|
|
|
|
|
18.1.Moment rzeczywisty na wale |
|
|
|
|
|
|
|
|
|
wyjściowym |
|
|
|
|
|
|
|
|
|
|
|
|
|
u= |
1,67 |
|
|
|
|
urz= |
1,66666666666667 |
|
|
|
|
|
|
|
|
T2= |
260,72 |
[Nm] |
T3rz= |
434,525 |
[Nm] |
|
T3rz= |
434,525 |
[Nm] |
T3= |
434,53 |
[Nm] |
|
|
|
|
|
|
|
|
|
|
18.2.Siły obwodowe |
|
|
|
|
|
|
|
|
|
|
|
|
|
dW3= |
141,02 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
dW4= |
235,03 |
[mm] |
Ft3= |
3697,56699523404 |
[N] |
|
Ft3= |
3697,56699523404 |
[N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ft4= |
3697,56699523404 |
[N] |
|
Ft4= |
3697,56699523404 |
[N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
18.3.Siły promieniowe |
|
|
|
|
|
|
|
|
|
|
|
|
|
α= |
20 |
[°] |
|
|
|
Ft3= |
3697,56699523404 |
[N] |
|
|
|
Ft4= |
3697,56699523404 |
[N] |
Fr3= |
1345,80432448601 |
[N] |
|
Fr3= |
1345,80432448601 |
[N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Fr4= |
1345,80432448601 |
[N] |
|
Fr4= |
1345,80432448601 |
[N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
19.Średnice wałów |
|
|
|
|
|
|
T2= |
260,72 |
[Nm] |
|
|
|
|
T3= |
434,53 |
[Nm] |
|
|
|
ks= |
40,00 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
wał wejściowy dwał1=dse=28 [mm] |
|
|
|
dwał1= |
28 |
[mm] |
|
|
|
wał pośredni |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
dwał2= |
31,941747864513 |
[mm] |
|
dwał2= |
31,94 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
wał wyjściowy |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
dwał3= |
37,871129704332 |
[mm] |
|
dwał3= |
37,87 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
dwał2<dwał3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20.Orientacyjne wymiary do |
|
|
|
|
|
|
|
|
|
rozplanowania |
|
|
|
|
|
|
|
|
|
20.1.Grubość ścianki korpusu reduktora |
|
|
|
|
|
|
|
|
|
(d=>8,0 mm) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dla reduktorów walcowych: |
|
|
|
|
|
|
aWwał1= |
139,053743719052 |
[mm] |
`dwustopniowych |
|
|
|
|
|
|
aWwał2= |
188,026342969884 |
[mm] |
d = (0,025aWwał2 + 3) mm |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
d= |
8,7006585742471 |
[mm] |
|
d= |
8,70 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
20.2.Minimalna odległość od wew. pow. |
|
|
|
|
|
|
|
|
|
ścianki reduktora do: |
|
|
|
|
|
|
|
|
|
`bocznej powierzchni obracającej się |
|
|
|
|
|
|
|
|
|
części e = (1,0…1,2)d mm; e = 1,1d |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
e= |
9,57072443167181 |
[mm] |
|
e= |
9,57 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
`bocznej powierzchni łożyska tocznego |
|
|
|
|
|
|
|
|
|
e1 = (0…5) mm |
|
|
|
e1= |
2,00 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
d= |
8,70 |
[mm] |
20.3.Minimalna odległość w kierunku |
|
|
|
|
|
|
|
|
|
osiowy między obracającymi się |
|
|
|
|
|
|
|
|
|
częściami osadzonymi na: |
|
|
|
|
|
|
|
|
|
` różnych wałach e3 = (0,5…1,0)d mm |
|
|
|
|
|
|
|
|
|
e3 = 0,75d |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
e3= |
6,52549393068533 |
[mm] |
|
e3= |
6,53 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
20.4.Minimalna odległość w kierunku |
|
|
|
|
|
|
|
|
|
promieniowym między kołem zębatym |
|
|
|
|
|
|
|
|
|
jednego stopnia a wałem drugiego st. |
|
|
|
|
|
|
|
|
|
e4 = (5,0…7,0) mm |
|
|
|
e4= |
6,00 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
20.5.Minimalna odległość w kierunku |
|
|
|
|
|
|
|
|
|
promieniowym od wierzchołków kół |
|
|
|
|
|
|
|
|
|
zbatych do: |
|
|
|
|
|
|
|
|
|
` wewnętrznej powierzchni ścianki korpusu |
|
|
|
|
|
|
|
|
|
e5 = 1,2d mm |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
e5= |
10,4407902890965 |
[mm] |
|
e5= |
10,44 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
` wew. dolnej pow. ścianki korpusu |
|
|
|
|
|
|
|
|
|
e6 = (5…10)m mm |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
m= |
6 |
|
e6= |
42 |
[mm] |
|
e6= |
42 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
20.6.Minimalna odległość od bocznych |
|
|
|
|
|
|
|
|
|
pow. części obracających się razem z |
|
|
|
|
|
|
|
|
|
wałem do nieruchomych części |
|
|
|
|
|
|
|
|
|
zew. reduktora |
|
|
|
|
|
|
|
|
|
e7 = (5,0…8,0) mm |
|
|
|
e7= |
6,50 |
[mm] |
|
|
|
e8 = (0,7…1,0)d mm |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
e8= |
7,39555978811004 |
[mm] |
|
e8= |
7,40 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
20.7.Szerokość kołnierzy s łączonych |
|
|
|
|
|
|
|
|
|
śrubą o średnicy dśr2 = 1,2d |
|
|
|
dśr2= |
10,44 |
[mm] |
|
|
|
z uwzględnieniem grubości ścianki d |
|
|
|
|
|
|
|
|
|
s = k+d+4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
s= |
40,70 |
[mm] |
|
s= |
40,70 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
k = f(dśr) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
k= |
28 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20.8.Grubość kołnierza pokrywy bocznej |
|
|
|
|
|
|
|
|
|
h1 = f(D) |
|
|
|
h1= |
8,00 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
20.9.Wysokość łba śruby |
|
|
|
|
|
|
|
|
|
h = 0,8 h1 |
|
|
|
h= |
6,40 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
20.10.Grubość tulei |
|
|
|
|
|
|
|
|
|
h3 = f(D) |
|
|
|
h3= |
8,00 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
20.11.Grubość kołnierza tulei |
|
|
|
|
|
|
|
|
|
h2 = h1 |
|
|
|
h2= |
8,00 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
20.12.Odległość od bocznej pow.łożyska |
|
|
|
|
|
|
|
|
|
do bocznej pow. nakładanej pokrywy |
|
|
|
|
|
|
|
|
|
h4 dobiera się konstrukcyjnie |
|
|
|
h4= |
5,00 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
20.13.Odległość między bocznymi pow. |
|
|
|
|
|
|
|
|
|
łożysk montowanych parami |
|
|
|
|
|
|
|
|
|
h5 = (0…5) mm |
|
|
|
h5= |
3,00 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
20.14.Dobór pozostałych wymiarów |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
dwał2= |
31,94 |
[mm] |
Dobieram Lp ≈ Dp ≈ (1,6…1,8)dwał |
|
|
|
|
|
|
dwał3= |
37,87 |
[mm] |
|
|
|
|
Przedłużam piasty do wym: |
|
|
|
|
|
Lp2≈Dp2 ≈ |
57,4951461561234 |
[mm] |
|
Lp2≈Dp2 ≈ |
73,5 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Lp3≈Dp3 ≈ |
68,1680334677976 |
[mm] |
|
Lp3≈Dp3 ≈ |
94,7 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
21.Obliczenia wałów |
|
|
|
|
|
|
|
|
|
Wał wejściowy |
|
|
|
|
|
|
Dane: |
|
|
|
|
|
|
|
Ms1= |
124,15 |
[Nm] |
|
|
|
|
Ms2=Ms3= |
260,72 |
[Nm] |
Po1= |
2767,7428144444 |
[N] |
|
Po1= |
2768 |
[N] |
Ms4= |
434,53 |
[Nm] |
|
|
|
|
|
n1= |
1000 |
[obr/min] |
|
|
|
|
n2= |
476,19 |
[obr/min] |
|
|
|
|
n3= |
600,00 |
[obr/min] |
Pr1= |
1007,37599982515 |
[N] |
|
Pr1= |
1007 |
[N] |
d1= |
89,7120927219693 |
[mm] |
|
|
|
|
|
|
|
d2= |
188,40 |
[mm] |
Wał pośredni |
|
|
|
|
|
|
d3= |
141,02 |
[mm] |
|
|
|
|
|
|
|
d4= |
235,032928712355 |
[mm] |
Po2= |
2767,7428144444 |
[N] |
|
Po2= |
2768 |
[N] |
tgαo= |
0,36 |
|
|
|
|
|
|
|
|
N= |
13 |
[kW] |
Pr2= |
1007,37599982515 |
[N] |
|
Pr2= |
1007 |
[N] |
Nwyj= |
27,3 |
[kW] |
|
|
|
|
|
|
|
r1= |
44,83 |
[mm] |
Po3= |
3697,56699523404 |
[N] |
|
Po3= |
3698 |
[N] |
r2= |
94,18 |
[mm] |
|
|
|
|
|
|
|
r3= |
70,5 |
[mm] |
Pr3= |
1345,80432448601 |
[N] |
|
Pr3= |
1346 |
[N] |
r4= |
117,5 |
[mm] |
|
|
|
|
|
|
|
|
|
|
Wał napędzany |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Po4= |
3697,56699523404 |
[N] |
|
Po4= |
3698 |
[N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Pr4= |
1345,80432448601 |
[N] |
|
Pr4= |
1346 |
[N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
22.Wyniki otrzymane z programu WALCAD |
|
|
|
|
|
|
|
|
|
Wał 1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Reakcje podpór: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Podpora stała: |
|
|
|
|
|
|
|
|
|
Fx= |
653,67 |
[N] |
Fy= |
-237,92 |
[N] |
Fz = 0 [N] |
|
|
|
Podpora ruchoma: |
|
|
|
|
|
|
|
|
|
Fx= |
2114,07 |
[N] |
Fy= |
-769,74 |
[N] |
Fz = 0 [N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Płaszczyzna z-y |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres sił Fy [N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres sił Fz [N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres momentów gnących [N*mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Płaszczyzna z-x |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres sił Fx [N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres momentów gnących [N*mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres momentów skręcających [N*mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wstępne wyniki obliczeń |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres momentów gnących wypadkowych [N*mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres momentów zastępczych [N*mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wyliczone średnice wałów w [mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Naprężenia w przedziałach |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dobór łożysk z programu ŁożyskaCAD |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dobieram łożyska kulkowe zwykłe: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Lewe: |
6006 |
|
|
Prawe: |
6008 |
|
|
|
|
|
d = |
30 [mm] |
|
|
d = |
40 [mm] |
|
|
|
|
D = |
55 [mm] |
|
|
D = |
68 [mm] |
|
|
|
|
B = |
13 [mm] |
|
|
B = |
15 [mm] |
|
|
|
|
C = |
13300 [N] |
|
|
C = |
17000 [N] |
|
|
|
|
Co = |
8000 [N] |
|
|
Co = |
12400 [N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wał 2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Reakcje podpór: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Podpora stała: |
|
|
|
|
|
|
|
|
|
Fx= |
-1943,75 |
[N] |
Fy= |
-707,47 |
[N] |
Fz = 0 [N] |
|
|
|
Podpora ruchoma: |
|
|
|
|
|
|
|
|
|
Fx= |
1013,92 |
[N] |
Fy = |
369,04 |
[N] |
Fz = 0 [N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Płaszczyzna z-y |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres sił Fy [N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres sił Fz [N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres momentów gnących [N*mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Płaszczyzna z-x |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres sił Fx [N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres momentów gnących [N*mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres momentów skręcających [N*mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wstępne wyniki obliczeń |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres momentów gnących wypadkowych [N*mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres momentów zastępczych [N*mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wyliczone średnice wałów w [mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Naprężenia w przedziałach |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dobór łożysk z programu ŁożyskaCAD |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dobieram łożyska kulkowe zwykłe: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Lewe: |
6006 |
|
|
Prawe: |
6007 |
|
|
|
|
|
d = |
30 [mm] |
|
|
d = |
35 [mm] |
|
|
|
|
D = |
55 [mm] |
|
|
D = |
62 [mm] |
|
|
|
|
B = |
15 [mm] |
|
|
B = |
14 [mm] |
|
|
|
|
C = |
13300 [N] |
|
|
C = |
15900 [N] |
|
|
|
|
Co = |
8000 [N] |
|
|
Co = |
10000 [N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wał 3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Reakcje podpór: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Podpora stała: |
|
|
|
|
|
|
|
|
|
Fx= |
-1176,59 |
[N] |
Fy= |
428,24 |
[N] |
Fz = 0 [N] |
|
|
|
Podpora ruchoma: |
|
|
|
|
|
|
|
|
|
Fx= |
-2520,98 |
[N] |
Fy= |
917,56 |
[N] |
Fz = 0 [N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Płaszczyzna z-y |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres sił Fy [N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres sił Fz [N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres momentów gnących [N*mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Płaszczyzna z-x |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres sił Fx [N] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres momentów gnących [N*mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres momentów skręcających [N*mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wstępne wyniki obliczeń |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres momentów gnących wypadkowych [N*mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wykres momentów zastępczych [N*mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wyliczone średnice wałów w [mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Naprężenia w przedziałach |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dobór łożysk z programu ŁożyskaCAD |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dobieram łożyska kulkowe zwykłe: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Lewe: |
6108 |
|
|
Prawe: |
6008 |
|
|
|
|
|
d = |
44 [mm] |
|
|
d = |
40 [mm] |
|
|
|
|
D = |
68 [mm] |
|
|
D = |
68 [mm] |
|
|
|
|
B = |
15 [mm] |
|
|
B = |
15 [mm] |
|
|
|
|
C = |
16800 [N] |
|
|
C = |
16800 [N] |
|
|
|
|
Co = |
11600 [N] |
|
|
Co = |
11600 [N] |
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
23.Dobór wpustów |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
T1= |
124,15 |
[Nm] |
|
|
|
|
T2= |
260,72 |
[Nm] |
|
|
|
|
T3= |
434,53 |
[Nm] |
|
|
|
|
dwał2= |
31,94 |
[mm] |
|
|
|
|
dwał3= |
37,87 |
[mm] |
|
|
|
|
dwał1= |
28 |
[mm] |
|
|
|
|
Lp1≈ |
57,83 |
[mm] |
Wpust 1 |
|
|
|
|
|
|
Lp2≈ |
73,5 |
[mm] |
h= |
7 |
[mm] |
|
|
|
|
Lp4≈ |
94,7 |
[mm] |
b= |
8 |
[mm] |
|
|
|
|
Lp3≈ |
89,61 |
[mm] |
Naciski powierzchniowe |
|
|
|
|
|
|
pdop= |
85 |
[MPa] |
|
|
|
|
|
kA= |
1,1 |
|
|
|
|
|
kT= |
95 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Naprężenia ścinające |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
L≥ |
32,7887154861945 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
L≥ |
12,8350563909774 |
[mm] |
|
L= |
45,00 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Wpust 2 |
|
|
|
|
|
|
|
|
|
h= |
8 |
[mm] |
|
|
|
|
|
|
|
b= |
10 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
L≥ |
52,814248579018 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
L≥ |
18,9019415967012 |
[mm] |
|
L= |
56,00 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Wpust 3 |
|
|
|
|
|
|
|
|
|
h= |
8 |
[mm] |
|
|
|
|
|
|
|
b= |
10 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
L≥ |
52,814248579018 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
L≥ |
18,9019415967012 |
[mm] |
|
L= |
70,00 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Wpust 4 |
|
|
|
|
|
|
|
|
|
h= |
8 |
[mm] |
|
|
|
|
|
|
|
b= |
10 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
L≥ |
74,2421040748504 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
L≥ |
26,5708583004728 |
[mm] |
|
L= |
80,00 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dane |
Obliczenia |
Wyniki |
|
|
|
|
|
|
|
|
|
|
|
|
|
Dobierm śruby |
|
|
|
|
|
|
|
|
|
M4x20-5,6 |
|
(PN-74/M-82106) |
|
|
|
|
|
|
|
M6x20-5,6 |
|
(PN-74/M-82106) |
|
|
|
|
|
|
|
M10x20-5,6 |
|
(PN-74/M-82106) |
|
|
|
|
|
|
|
M10x20-5,6 |
|
(PN-74/M-82106) |
|
|
|
|
|
|
|
Nakrętki |
|
|
|
|
|
|
|
|
|
M10-6 |
|
(PN-86/M-82155) |
|
|
|
|
|
|
|
Podkładki zwykłe |
|
|
|
|
|
|
|
|
|
4,2 |
(PN-EN ISO 10673:2002 |
|
|
|
|
|
|
|
|
6,2 |
(PN-EN ISO 10673:2003 |
|
|
|
|
|
|
|
|
10,2 |
(PN-EN ISO 10673:2004 |
|
|
|
|
|
|
|
|
Podkładki sprężyste |
|
|
|
|
|
|
|
|
|
6,1 |
(PN-77/M-82008) |
|
|
|
|
|
|
|
|
10,2 |
(PN-77/M-82009) |
|
|
|
|
|
|
|
|
Pierścień uszczelniający |
|
|
|
|
|
|
|
|
|
A 30x40x7 (PN-72/M-86964) |
|
|
|
|
|
|
|
|
|
A 40x50x10 (PN-72/M-86964) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|