Calculating the force on a shaft

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This discussion focuses on calculating the axial and radial forces on a shaft with a plate and weights attached. The user has a shaft supporting a 10 kg plate and an additional load of 37.5 kg, leading to an axial force of 153 N and a radial moment of 191 Nm based on their calculations. The discussion highlights the importance of including bearing forces in the Free Body Diagram (FBD) and using symbolic names for dimensions to enhance clarity in calculations.

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I would like to attach bearings on a shaft, see: https://www.physicsforums.com/showthread.php?p=3856547#post3856547

Therefore I would like to calculate the axial and radial force on the shaft, so I can select the right bearings.

The picture looks a as following: http://i39.tinypic.com/kd1naq.jpg
kd1naq.jpg

So I have a shaft, with a plate attached on it with a weight of 10kg. A load will be putted on the plate wit a weight of 37,5kg. Now I would like to calculate the axial and radial force on the shaft.

Sketch:
http://i41.tinypic.com/kd1iqx.jpg
kd1iqx.jpg



Sum Fx to A = o

Fxa = o

Sum Fy to A = o

(-375N x 0,625 x 0,3125) – (100 x (0,725/2)) + Fya x 0,725 = 0
-73,2 - 37,6 + Fya x 0,725 = 0
-110,8 + Fya x 0,725 = 0
Fya = 110,8 / 0.725
Fya = 153N

Som M t.o.v. A = o
M in a = 375 x (0,725 – 0,3125) + 100 x 0,3625
M in a = (375 x 0,4125) + 36,25
M in a = 191Nm

The shaft would have an axial force of F = 153 N and radial momentus of M = 191 Nm according to this calcuation.

Does this look ok, or should I calculate it completely differently?
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You need to go back and shows the bearings in your FBD, and include their forces in your force and moment sums.

Also, it is not entirely clear where some of your dimensions came from; can you identify them, please?
 
What dimensions are not identified? Do you see the picture?
 
Yes, I saw the picture. One of the difficulties is that you have worked entirely with numerical values, rather than giving symbolic names to each of your dimensions. If you gave each of them a symbol, before plugging in the number, then it would be much easier to see where each item came from.

Also, in the FBD, I do not see any reaction forces on the upright arm; why?
 

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