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Resolving Shaft Forces 1

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RichJC84

Aerospace
Dec 20, 2007
1
Hi all,

Any help would be much appreciated.
I ran a quick FEA with Catia's in built analyser on a gear. It spat out some numbers that I would like to check by hand.
Please view attached diagram.

The numbers on the diagram are what the computer gave me, but I cannot seem to verify them by hand, perhaps they are wrong?

Thanks for your time.
 
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If I understand the problem, I get (approximate)

1287 (up) at R1

758 (up) at R2
 
It appears your vertical -2045N should be -3895N. I will work on the solution when I get home then post my findings.

Heckler [americanflag]
Sr. Mechanical Engineer
SWx 2007 SP 4.0 & Pro/E 2001
o
_`\(,_
(_)/ (_)

This post contains no political overtones or undertones for that matter and in no way represents the poster's political agenda.
 
Hi RichJC84

Perhaps you could clarify one or two things first:-

1/ is the vertical force 2045N in addition to the vertical
component from the horizontal force 10147?
2/ Reaction R3 is shown on the sketch as two red vertical
lines, however I assume the R3 in the table on the sketch
which given as 10147N, is the horizontal force shown in
diagram.

I couldn't get any numbers to balance equilibrum like those
you have posted.
I do agree with sreid if you just take the vertical load of 2045N then the reactions are 758 and 1258N upwards.

regards

desertfox
 
I looked at the force diagram that has been attached but I have my own doubts. A gear has three forces that needs to be equated to its supports.

1)Tangential force: This force acts on the surface of the gear and at the meshing point. This force is always against the direction of rotation of the gear
2)Separating force: This force acts from the meshing point towards the center of the gear as represented by you.
3)Axial force: This force is mainly due to the angle of the gear teeth which is also represented by you.

To get the actual reactions at the supports all these forces need to be considered. Now each of these force act on different axis.
Tangential - Z axis
Seperating - Y axis
Axial - X axis

You need to consider a plane viz, XY or XZ and solve the equations to get the reactions for the gear forces.

Hence use the tangential force for the gear and you would have your results.
 
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