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Calculations
Gearbox reduction ratio
This functionality is in
beta stage
.
Gearbox reduction ratio
public
Reduction ratio of 3 stage gearbox
No input data
Result
Three stage gearbox ratio
$$ i_{gb3} = {i_{gr1} \cdot i_{gr2} \cdot i_{gr3}} $$
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i_{gb3} = i_{gr1} * i_{gr2} * i_{gr3}
Preceding calculations
3
Gear reduction ratio
public
Reduction ratio of two gear wheels using number of teeth
Number of teeth of first gear $$ z_1 = 21 \: $$ Number of teeth of second gear $$ z_2 = 45 \: $$
First stage ratio
$$ i_{gr1} = {z_2 \over z_1} $$
Gear reduction ratio
public
Reduction ratio of two gear wheels using number of teeth
Number of teeth of third gear $$ z_3 = 20 \: $$ Number of teeth of fourth gear $$ z_4 = 45 \: $$
Second stage ratio
$$ i_{gr2} = {z_4 \over z_3} $$
Gear reduction ratio
public
Reduction ratio of two gear wheels using number of teeth
Number of teeth of fifth gear $$ z_5 = 20 \: $$ Number of teeth of sixth gear $$ z_6 = 45 \: $$
Third stage ratio
$$ i_{gr3} = {z_6 \over z_5} $$
Calculation details
Show in calculation
This calculation is for 3 stage gearbox:
i_{gr1} - first stage reduction
i_{gr2} - second stage reduction
i_{gr3} - third stage reduction
Discipline:
mechanical
Calculation