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Dnom[mm]= |
50 |
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po[MPa]= |
4 |
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p'dop[MPa]= |
100 |
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a[mm]= |
3,5 |
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c[mm]= |
1 |
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Wymiary montażowe |
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Dz[mm]= |
165 |
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Dp[mm]= |
102 |
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Do[mm]= |
125 |
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f[mm]= |
3 |
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g[mm]= |
20 |
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do[mm]= |
18 |
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l. otworów= |
4 |
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L[mm]= |
135 |
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2. |
Obliczenia dla grzybka. |
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1. |
Obliczenia dla przylg. |
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EN-GJL-150 |
GRZYBEK |
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X6Cr13 |
SIŁY NA PRZYLDZE |
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Dw=1,05*Dnom |
Dw[mm]= |
53 |
"+0,5" |
pwym=(a+c*po)*(10/B)^0,5 |
pwym[MPa]= |
13,693 |
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B=0,02*Dnom+1 |
B[mm]= |
3 |
"+1" |
F'wym=pwym*Ap |
F'wym[N]= |
7227,0289 |
+ |
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Dmp=Dw+B |
Dmp[mm]= |
56 |
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F'dop=p'dop*Ap |
F'dop[N]= |
52778,757 |
F'wym<Fcz |
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Dz=Dmp+B |
Dz[mm]= |
59 |
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Fcz=po*π*(Dmp^2)/4 |
Fcz[N]= |
9852,0346 |
+ |
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h≈1,2*d |
h[mm]= |
26 |
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Fwym=F'wym+Fcz |
Fwym[N]= |
17079,063 |
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H=h+0,5*d |
H[mm]= |
40 |
3 |
Spr.założenia |
Fwym<F'dop |
spełniony |
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d[mm]= |
21 |
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dt=1,75*d |
dt[mm]= |
37 |
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Fgn=Fw-Fcz |
Fgn[N]= |
8585,965 |
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gt[mm]= |
15 |
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ea=2*Dmp/(3*π) |
ea[mm]= |
11,884 |
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gz=(0,5:-:0,7)*gt |
gz[mm]= |
11 |
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eb=Dmp/π |
eb[mm]= |
17,825 |
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współczynnik od 0,5 do 0,7 |
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0,7 |
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Mg=0,5*Fgn*eb+0,5*Fcz*ea |
Mg[Nmm]= |
135062,602 |
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gm=(gz+gt)/2 |
gm[mm]= |
13 |
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Ap=π*Dmp*B |
Ap[mm^2]= |
528 |
+ |
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yc[mm]= |
13,631 |
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σg=kl*Fw/(g^2) |
σg[MPa]= |
60,000 |
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Jc[mm^4]= |
173526,265 |
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g>=(kl*Fw/kg)^0,5 |
g= |
12 |
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zmax[mm]= |
26,369 |
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kl=3,13-10/((Dmp/dt)+2,2) |
kl= |
0,445 |
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materiał kruchy |
Rm[MPa]= |
150,000 |
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σgmax=Mg*zmax/Jc |
σgmax[MPa]= |
20,524 |
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kg=Rm/x |
kg[MPa]= |
60,000 |
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x=Rm/σgmax |
x= |
7,309 |
przyjęte |
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x= |
2,500 |
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W=0,4*Dw |
W[mm]= |
21,200 |
W=22 |
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spełniony |
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d[mm]= |
20 |
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EN-GJL-150 |
DŁAWICA |
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EN-GJS-350-22 |
DŁAWIK I ŚRUBY DŁAWIKA |
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s=(1÷2)*d^0,5 |
s[mm]= |
7 |
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Rm= |
350 |
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współczynnik od 1 do 2 |
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1,5 |
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Re= |
400 |
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DD=d+2*s |
DD[mm]= |
34 |
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pD[MPa]= |
7,000 |
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HD=(5÷7)*s |
HD[mm]= |
42 |
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FD=π/4*pD*(DD^2-d^2) |
FD[N]= |
4157,000 |
4156,327 |
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współczynnik od 5 do 7 |
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6,0 |
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A) W PRZEKROJU A-A |
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hD[mm]=HD-(2÷3)*s |
hD[mm]= |
21,0 |
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c= |
64,000 |
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współczynnik od 2 do 3 |
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3,0 |
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MgA=FD/2*(c-DD)/2 |
MgA[Nmm]= |
31177,500 |
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hp=(0,2÷0,4)*d |
hp[mm]= |
6,0 |
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ba= |
38,000 |
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współczynnik od 0,2 do 0,4 |
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0,3 |
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WA=ba*gD^2/6 |
WA[mm^3]= |
228,000 |
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x= |
2,500 |
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kg=Rm/x |
kg[MPa]= |
140,000 |
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σg=MgA/WA |
σg[MPa]= |
136,743 |
σg<=kg |
spełniony |
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gD>=(6*MgA/(bA*kg))^0,5 |
gD[mm]= |
6,000 |
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B) W PRZEKROJU B-B |
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eD=(d+DD)/(2*π) |
eD[mm]= |
9,000 |
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MgB=FD/2*(c/2-eD) |
MgB[MPa]= |
47805,500 |
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WB=(DD-d)*(gD+hD+hp)^2/6 |
WB[mm^3]= |
2541,000 |
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σgmax=MgB/WB |
σgmax[MPa]= |
18,814 |
2,500 |
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x=Re/σgmax |
x= |
21,261 |
x>=xwym(2,5) |
spełniony |
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gr. wytrz. doraźnej |
Rm[MPa]= |
500,000 |
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Re=0,8*Rm |
Re[MPa]= |
400,000 |
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kr=Re/x |
kr[MPa]= |
160,000 |
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Q=FD/2 |
Q[N]= |
2078,500 |
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Ar.wym>=1,3*Q/kr |
Ar.wym[mm^2]= |
16,888 |
wybrana śruba→ |
M 6 |
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6. |
WRZECIONO |
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25618,5951685273 |
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Fw=Fwym+0,2(F'dop-Fwym) |
Fw[N]= |
18438,000 |
Fw<=1,5*Fwym |
spełniony |
|
5781,62310722184 |
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(A)Ar.wym=Fw/kc |
A[mm^2]= |
184,380 |
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X6Cr13 |
Re[MPa]= |
400 |
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Rm[MPa]= |
350 |
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Tr 20x4 |
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x= |
4,000 |
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d= |
20 |
kc=Re/x |
kc[MPa]= |
100,000 |
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P= |
4 |
σ=Fw/A |
σ[MPa]= |
97,556 |
σ<=kc |
spełniony |
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A= |
189,000 |
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Lk[mm]= |
338,000 |
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d1= |
15,500 |
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Lw[mm]= |
338,000 |
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d2= |
18,000 |
i=ds/4 |
i[mm]= |
4,188 |
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D1= |
16,000 |
ds=(d1+d2)/2 |
ds[mm]= |
16,750 |
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λ=Lw/i |
λ= |
80,716 |
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As=π*ds^2/4 |
As[mm^2]= |
220,353 |
jeżeli wsp szuk > x wtedy zmniejszamy Lk |
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σkryt=Re(1-λ^2/20000) |
σkryt[MPa]= |
269,697 |
3,229 |
szukany wsp |
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x=σkryt/(Fw/As) |
x= |
2,765 |
2<x<4 |
spełniny |
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Pow. styku z gniazdem |
d[mm]= |
18,000 |
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A=π*d^2/4 |
A[mm^2]= |
254,469 |
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p=Fw/A |
p[MPa]= |
72,457 |
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p dop.w=0,3*Re |
p dop.w[MPa]= |
120,000 |
p<=p dop.w |
spełniony |
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d2= |
12,5 |
p dop.o=0,35*Rm |
p dop.o[MPa]= |
122,500 |
p<=p dop.o |
spełniony |
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P= |
3 |
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Osadzenie kółka na wrzec. |
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μ= |
0,115 |
Mtg=0,5*Fw*d2*tg(γ+ρ') |
Mtg[Nmm]= |
22730,036 |
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α= |
15 |
γ=arctg(P/(π*d2) |
γ= |
4,369 |
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d= |
12,000 |
ρ'=arctg(μ/cosα) |
ρ'= |
6,789 |
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Mto=Fw*d*μ/3 |
Mto[Nmm]= |
5162,640 |
μ= |
0,070 |
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δ= |
0,170 |
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Mtd=δ*Mtg |
Mtd[Nmm]= |
3864,106 |
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Mk=Mto+Mtg+Mtd |
Mk[Nmm]= |
31756,782 |
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Poł.kółka z wrzecionem |
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acz=1,1*2^0,5/2*dw |
acz[mm]= |
15,579 |
0,8 |
≈15,5 |
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dw[mm]= |
19,000 |
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1,3 |
lcz=(1÷1,5)*dw |
lcz[mm]= |
25,000 |
≈25 |
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lef=lcz |
lef[mm]= |
25,000 |
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p=4*Mk/(acz^2*lef) |
p[MPa]= |
20,936 |
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p dop[MPa]= |
200,000 |
p<=p dop |
spełniony |
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E295 |
Nakrętka mech. wrzeciona |
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Ad=Fw/pdop |
Ad[mm^2]= |
838,091 |
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pdop[MPa]= |
22,000 |
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iz=4*Ad/(π(d^2-D1^2)) |
iz= |
7,410 |
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Hn=iz*t |
Hn[mm]= |
22,231 |
≈23 |
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t= |
3 |
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Dn=((Ew+En)/En)^0,5*d2 |
Dn[mm]= |
25,456 |
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Ew= |
210000 |
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En= |
210000 |
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ŚRUBA M12 |
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Uszczelnienie śruby i pokrywy |
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d= |
12 |
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Du[mm]= |
80,000 |
1,000 |
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d2= |
10,683 |
Bu=(0,08÷0,12)*Du |
Bu[mm]= |
8,000 |
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P= |
1,75 |
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(0,08÷0,12)= |
0,100 |
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S= |
18 |
pu.wym=α*po/Bu^0,5 |
pu.wym[MPa]= |
18,385 |
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μ= |
0,125 |
Al. |
α[mm^0,5]= |
13,000 |
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αr= |
30 |
Au=Lu*Bu |
Au[mm^2]= |
2211,681 |
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γ=arctg(P/(π*d2) |
γ= |
2,985 |
Lu=π*Dmu |
Lu[mm]= |
276,460 |
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ρ'=arctg(μ/cosα) |
ρ'= |
0,000 |
Dmu=Du+Bu |
Dmu[mm]= |
88,000 |
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Mnap=0,5*Q*[d2*tg(γ+ρ')+0,5*(d+S)*μ] |
Mnap[Nm]= |
30,4349755359657 |
Fu=Au*pu.wym |
Fu[N]= |
40661,265 |
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Uszczelnienie i śruby pokrywy |
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6.8 |
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As= |
84,3 |
App=π*Dmu^2/4 |
App[mm^2]= |
6082,123 |
|
Du |
Bu |
po |
Dmu |
Lu |
Au |
Fu |
App |
Q |
kr |
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KLASA |
4.8 |
Fp=po*App |
Fp[N]= |
24328,494 |
|
90 |
9 |
21,3333333333333 |
99 |
311,01767270539 |
2799,15905434851 |
59715,3931594348 |
7697,68739945839 |
19538,1930312056 |
192 |
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Q=(Fw+Fu+Fp)/z |
Q[N]= |
20856,940 |
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z= |
4 |
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Fp |
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As |
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EN-GJL-150 |
Gr śc. korp. i gr. pokrywy |
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|
Grubość ścianek korpusu i grubość pokrywy |
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|
4618,61243967503 |
|
132,289848648788 |
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Rm[MPa]= |
150,000 |
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gk[mm]= |
7,000 |
|
gk |
Dp |
Hp |
gp=(1,5:2*gk) |
|
aśr |
au |
amu |
eu |
ep |
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g(koł)=(1,5÷2)*gk |
g(koł)[mm]= |
11 |
|
6 |
40 |
43,8 |
1,5*gk |
2*gk |
61,5 |
45 |
49,5 |
31,5126787321953 |
21,0084524881302 |
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(1,5÷2)= |
1,5 |
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40 |
44 |
9 |
12 |
62 |
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gp=(1,5÷2)*gk |
gp[mm]= |
11 |
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10 |
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(1,5÷2)= |
1,5 |
|
ew |
Mg |
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Dp=DD+2*s |
Dp[mm]= |
48,0 |
|
22,5 |
-14536,5045741373 |
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Hp=HD+hp+0,5*s |
Hp[mm]= |
52,0 |
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aśr>=au+Bu+0,75*dśr |
aśr[mm]= |
57 |
|
I |
2*bsr |
|
y |
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au(≈Du/2)[mm]= |
40,000 |
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|
124 |
|
4200 |
|
ymax |
sigma |
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dśr(d)[mm]= |
12,000 |
|
84000 |
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|
11616 |
|
32,4385964912281 |
-5,11524566381727 |
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eu=2*amu/π |
eu[mm]= |
28,011 |
|
1022208 |
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|
1368 |
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amu=bmu=au(bu)+0,5*Bu |
amu[mm]= |
44 |
|
92184 |
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|
11,5614035087719 |
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ep=4*amu/(3*π) |
ep[mm]= |
18,674 |
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ew[mm]= |
0,000 |
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Mg=-Q*aśr-2*Q*eśr+Fu/2*eu+Fw/2*ew+Fp/2*ep |
Mg[Nmm]= |
-392201,389 |
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bśr=aśr=0,5*Du+Bu+0,75*d |
bśr=aśr[mm]= |
57 |
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eśr[mm]= |
42,426 |
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5,000 |
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yc[mm]= |
15,178 |
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Jyc[mm^4]= |
348144,079 |
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zmax[mm]= |
36,822 |
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σ.gmax=Mg*zmax/Jyc |
σ.gmax[MPa]= |
-41,482 |
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x=Rm/σgmax |
x= |
3,616 |
x>=2,5 |
spełniony |
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JARZMO |
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12,7801930084539 |
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po=pnom |
Dnom |
Dw |
B(węższe) |
B(szersze) |
Dmp |
Ap |
pwym |
F ' wym |
F ' dop |
|
Fcz |
F wym |
Fw |
1,5*Fwym |
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|
4 |
50 |
53 |
3 |
3 |
56 |
527,787565803085 |
13,6930639376292 |
7227,0288840273 |
52778,7565803085 |
|
9852,03456165759 |
17079,0634456849 |
18437,3789653878 |
25618,5951685273 |
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Wrzeciono |
X6Cr13 |
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Tr 16x4 |
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Re |
kc |
Ar.wym |
d |
|
d2 |
d1 |
D1 |
D |
P |
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|
400 |
100 |
184,373789653878 |
16 |
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14 |
11,5 |
12 |
16,5 |
4 |
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Grzybek |
żeliwo |
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Rm |
h |
dt |
Dz |
H |
kg |
k1 |
gt |
g=gt |
gz 0,5*gt |
gz 0,7*gt |
gz |
gm |
Fgn |
ea |
eb |
Mg |
W |
Wmin |
350 |
20 |
28 |
60 |
28 |
140 |
0,749047619047619 |
8 |
|
4 |
5,6 |
5 |
6,5 |
8585,34440373018 |
11,8835690841949 |
17,8253536262923 |
135057,066666667 |
21,2 |
13,25 |
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9,93208178994514 |
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Ic |
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yc |
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Rm |
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|
8788 |
263424 |
8192 |
23367 |
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Dławik |
350 |
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MgA |
kg |
bA |
c |
gD |
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Dławnica |
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|
17541,396740584 |
140 |
30 |
122 |
25,0591382008342 |
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s |
Dd |
Hd |
hd |
hp |
pd |
Fd |
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5,00591032688703 |
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6 |
28 |
36 |
24 |
4,8 |
1,8 |
746,442414492935 |
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10 |
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6 |
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eD |
MgB |
WB |
sigma |
x |
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7,0028174960434 |
20152,8936420345 |
2592 |
7,77503612732813 |
45,0158679996097 |
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Nakrętka wrzeciona |
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d |
d1 |
D1 |
d2 |
D |
Ad |
iż |
Hn |
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|
16 |
11,5 |
12 |
14 |
16,5 |
838,062680244899 |
9,52727272727273 |
38,1090909090909 |
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17 |
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t(skok) |
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4 |
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Wytrzymałość wrzeciona na wyboczenie |
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Lk |
d1 |
d2 |
ds. |
i |
lambda |
sigma kr |
As |
xw |
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|
224 |
11,5 |
14 |
12,75 |
3,1875 |
70,2745098039216 |
301,229865436371 |
127,676288937298 |
2,08597498636859 |
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Napęd mechanizmu śrubowego |
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Osadzenie kółka na wrzecionie |
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pdop wrz |
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d |
A |
p |
pdop grz |
120 |
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gama |
ro prim |
Mto |
Mtg |
Mtd |
Mk |
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|
16 |
201,061929829747 |
91,7 |
122,5 |
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0,090945681766797 |
4,14 |
6883,2881470781 |
21227,1849689503 |
212,271849689503 |
28322,7449657179 |
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5,2 |
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Połączenie kółka z wrzecionem |
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Konstrukcja kółka |
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acz |
lcz |
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lef |
p |
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12 |
40 |
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26,6666666666667 |
29,5028593392895 |
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12 |
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