Well, the day started out $hitty

You'll likely have to grind the shaft as it will be hardened, though it might be a case hardening. Pay particular attention to the small radii at the bottom of the groove to avoid propagating cracks. If it is case hardened you may end up with a soft shaft which apparently is undesirable. Also spin it between centres to make sure it isn't bent.
 
Considering how much I bent my input shaft she may be heat treated but she is not hard.
As for checking concentricity if you have no centers you can out her on the bearings and mount her in the block. The used a dial indicator to check the surfaces. Be careful listening to Paul he drinks warm beer
 
So Warp, ? Bill is from Robinsons? They make good stuff. You are a tool maker?
Yes Bill is from Robinson's and Although I am retired yes I was a Tool & Die Maker
So Warp, ? Bill is from Robinsons? They make good stuff. You are a tool maker?
Yes Bill is from Robinson's and Although I am retired yes I was a Tool & Die Maker. A Prototype Machinist for the Military specializing in Heavy Actinide Machining for the Military. Or as I would say Iv'e maid a chip or two

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No! I leave it outside in the Siberian cold.
 
Probably not on that picture. I was thinking the base shaft had the slot in it. Must be thinking of another part of the box. You will need some one with good tools/skill to do that .
They dont call Fred the Rocket Scientist for nothing, i have seen his rocket on the floor on a white sheet 2 million pieces scattered allover that sheet, he will get it back running, you watch
 
Yes Bill is from Robinson's and Although I am retired yes I was a Tool & Die Maker. A Prototype Machinist for the Military specializing in Heavy Actinide Machining for the Military. Or as I would say Iv'e maid a chip or two
So you are more than capable of fixing these issues sir. Go at it . Retirement is dull, you need a hobby