Analisis

Cálculo del momento resistente
σx= 0.5716 Ft3m3-42
σx= 1.1432 Mt3z m3-43
Módulo aproximado
σperm= 23xRcFs
Acero 1045 SAE
Tratamiento térmico (Temple + Revenido)
HRc =38
Ru = 174 psi

Ru = 122.44 kg/mm2
Rc = 74.68 kg/mm2
Estado recocido
Ru = 64 kg/mm2
Rc = 39 kg/mm2
σperm= 23x74.681.5=33.19 kgmm2
33.19=0.5716200m3-42
m3-4 = 1.856 ≈2 mm
D3= m3-4Z3=217=34 mm
De3=34+2m=34+22=38 mm
Mt1=15015=2250 kg mm
Mt3=FtD32=200342
Mt3 = 3400 kg mm
Mt2 = 3400 kg mm
V3=π D3 n360
n3=V360D3π= 0.01600.034π=5.61 rpmn2=5.61 rpm
N3=FV=2000.01=2kg mms=0.026 CV
ηT=(0.995)4(0.985)2=0.95
N1=N3ηT= 0.0260.95=0.027 CV
Mt1=716200 N1n1
n1= 7162000.0272250
n1=8.59 rpm
ρ1-2=n1n2=8.595.61=1.52N2=N1η4RODη1ENG=0.027(0.995)40.985=0.026 CV

Resumen:
N1 = 0.027 CV
n1 = 8.59 rpm
Mt1 = 2250 kg mm
N3 = 0.026 CV
n3 = 5.61 rpm
Mt3 = 3400 kg mm
1era Pareja 1 y 2zmin= 2γ-1+1+γ2+2γsin2θ
γ=11.5=0..65
γ2=0.42
2γ=1.3
zmin= 1.3-1+1+0.42+1.3sin220°
z1=13.54≅14 dientes
Módulo aproximado para las ruedas 1 y 2.
σx= 1.1432Mt1z1m1-23=1.1432225014m1-23
σx= 183.72m1-23
σperm=23xRc1.5
Usar acero 1045(sin tratamiento térmico).
σperm= 23x391.5=17.33 kgmm2

17.33=183.72m1-23
m1-2=2.19≅2.25 mm
m1-2aprox.=2.25 mmDe= z1m1-2+2m1-2=142.25+22.25=36 mm

Cv=0.85

Mtm=Mtv=Mt12=22502=1125 kg mm
σm=σv=1.1432Mtz1m1-23=1.1432112514m1-23=91.86m1-23

Rf=0.56410.850.751.6=12.75 kgmm291.8612.75m1-23=11.5-91.8639m1-23

m1-2=2.42≅2.5 mm

D1=z1m1-2= 142.5=35 mm

De1=D1+2m1-2=35+5=40 mm
2da Pareja 3 y 4
z3=17 dientes

Mtm=Mtv=Mt32=34002=1700 kg mmσm=σv=1.1432Mt3z3m3-43=1.1432170017m3-43=114.32m3-43
Cv=0.85 para De3=38 mm

Rf=0.5122.3410.850.6561.6=21.33 kgmm2

114.3221.33m3-43=11.5-114.3274.68m3-43

m3-4=2.18≅2.25 mm