Calculating force of Arbor Press

[Spoolx]

Hey all,
So I was trying to calculate the output force of an arbor press given a specific input force.

There is no gear reduction, the lever arm is 12" and the gear pitch diameter is 1.5"

Basically I want to know how much force do I need to apply to the lever arm to produce 300lbs at the arbor head.

I broke out my statics book and I don't see anything exactly like this so I am not sure if its a simple moment calculation.

Any guidance is appreciated

Thanks!

 

[tygerdawg]

There is no gear reduction

Not exactly.

Torque applied to shaft Ta = F-pull X 12 inches (assume best case 90-degrees force vector)
Force output by gear teeth onto arbor ram = Fa = Ta/1.5 inch

Less efficiencies.

 

[Spoolx]

Thanks for the reply, can you tell me what equation your solution refers to?

Thanks

 

[tygerdawg]

The variable names are abitrary. The solution is basic mechanics. You should do a free body diagram to get this.