Buckling of rod with varying diameter (stepped)
Buckling of rod with varying diameter (stepped)
(OP)
I would like to know the best method of calculating critical buckling force on a rod of varying diameters. I have a hydraulic cylinder rod that steps down to a smaller diameter (undercut) for the threaded end. Previously we have had rod failures at this undercut.
Currently I'm using the smallest diameter with the overall length of the rod (in Euler's buckling formula) to determine a conservative critical force. I'm not sure if this is the best approach.
Any suggestions would be appreciated.
Thank you
Currently I'm using the smallest diameter with the overall length of the rod (in Euler's buckling formula) to determine a conservative critical force. I'm not sure if this is the best approach.
Any suggestions would be appreciated.
Thank you





RE: Buckling of rod with varying diameter (stepped)
RE: Buckling of rod with varying diameter (stepped)
I basically used Euler's formula F = [n * (3.14^2) * E * I] / (L^2)
Where n = 2 for the fixed/pinned condition.
RE: Buckling of rod with varying diameter (stepped)
RE: Buckling of rod with varying diameter (stepped)
Is the "threaded end" at the mounted end? Is the cylinder rated for that type of loading?
Or, is the "threaded end" inside where it might attach to a piston?
Do you have some pictures of the fialure fracture faces?
RE: Buckling of rod with varying diameter (stepped)
RE: Buckling of rod with varying diameter (stepped)
The cylinder end is mounted on a clevis. The rod end (threaded) is mounted with a rod eye/pin. The cylinder is mounted on a 5 degree incline from horizontal.
The rod end is pushing a lever so it is guided in that sense. However, the piston stroke is roughly 30mm and the arc diameter that is travelled is large in comparison, so I approximate it's condition as a linear motion (maybe an incorrect assumption?).
I can try and get a sketch tonight if this is unclear.
The force required to actuate and move the lever is small under normal conditions so the compressive force is not normally a concern. However, two factors come into play that I have to design around. First, our hydraulics engineer has advised me that he cannot limit the pressure in the cylinder too much. The application requires speed and if the set point for pressure is set too low, it affects how the pressure ramps and it will slow cycle times down. So naturally I would like the piston to bottom out on the end of its stroke and the compression will not be translated to the rod at the end of the stroke. However, if the lever becomes seized or stuck through it's travel, this is my concern. The full force will be transferred to the rod and we will have a potential failure from either buckling or bending as suggested.
RE: Buckling of rod with varying diameter (stepped)
another day in paradise, or is paradise one day closer ?
RE: Buckling of rod with varying diameter (stepped)
Here is how the cylinder manufacturer recommends how to calculate cylinder buckling http://www.boschrexroth-us.com/country_units/ameri...
See page 19
I think a sketch or photograph of your situation would help get better answers.
Do you have any parts of the previously ailed cylinder a photo of them would also help
RE: Buckling of rod with varying diameter (stepped)
The second is the 30mm of travel. How small is this rod and what side loading is being placed on it? Even with no moment carrying attachments, there can be significant inertial loads.
RE: Buckling of rod with varying diameter (stepped)
another day in paradise, or is paradise one day closer ?
RE: Buckling of rod with varying diameter (stepped)
The rod is 12mm in diameter and steps down to roughly 9.5mm at the undercut before the threaded section. The cylinder will see max 180 bar and the piston diameter is 25mm
We have not had any failures with this exact set up, however, in a similar application we have had rods break. The similar application actually had a shorter rod extension (different size rod/cylinder combination and longer travel, more of an arc). We are now reviewing this design to be sure it will not fail.
RE: Buckling of rod with varying diameter (stepped)
RE: Buckling of rod with varying diameter (stepped)
One way to calculate that would be to visualize the cylinder and the tube connected and resting on a single support point right at the connection. How much moment is created at that point by the weight of the tube? How much moment is at that point from the weight of the cylinder? Add them together. Now throw in repetitive shocks from high speed stops and the effects of the stress concentrator at the thread root, and you have a recipe for eventual failure. Find a way to eliminate that moment and I think you might eliminate the problem.
RE: Buckling of rod with varying diameter (stepped)
is 180 bar a huge pressure ? it sounds huge to me ... 1 bar = 15psi (near enough) ... no, 2700psi isn't huge, about 2000 lbs load ...
another day in paradise, or is paradise one day closer ?
RE: Buckling of rod with varying diameter (stepped)
Why does the pin at the cylinder rod end fasten with its pin at 90 degrees to all the other pins?
Whilst the link is a two force member as the cylinder operates I can see a bending moment occurring at the threaded end of the cylinder before the whole cylinder starts to rotate about the rear Clovis.
I think you should have the pins in the connections in the same orientation.
RE: Buckling of rod with varying diameter (stepped)
another day in paradise, or is paradise one day closer ?
RE: Buckling of rod with varying diameter (stepped)
RE: Buckling of rod with varying diameter (stepped)
another day in paradise, or is paradise one day closer ?
RE: Buckling of rod with varying diameter (stepped)
I was not very involved in the failure analysis of the similar application. I was told it failed in buckling so this is the information I initially used to approach this problem. Obviously there are many possibilities so I think the failure should be revisited.
desertfox, I'm not sure what you mean by the pin holding the cylinder being 90 degrees to the other pins. All of the pins that any of the components pivot about are all parallel.
RE: Buckling of rod with varying diameter (stepped)
another day in paradise, or is paradise one day closer ?
RE: Buckling of rod with varying diameter (stepped)
Have a look at the file Rb1957 posted, I believe that's where your problems lie, if this is a flange ss rb1957? Suggested then each time the mechanism works then you will encounter a bending moment at the threaded end of the rod, I also believe that if its a pin connection shown in that orientation then again there will be a bending moment on the thread rod.
RE: Buckling of rod with varying diameter (stepped)
another day in paradise, or is paradise one day closer ?
RE: Buckling of rod with varying diameter (stepped)
Your’s is an interesting problem. But, I’m always amazed at how little problem/solution info. OP’ers. seem to think is needed to have a meaningful discussion of the problem. Then, I’m also puzzled at how they will let a bunch of smart people who are trying to help analyze the problem waste their time guessing at almost everything about the problem, while the OP’er. is too damn lazy to provide the needed info. We can now see basically how the system works, but your sketch falls way short on dimensions, sizes, weights, forces, etc., etc., all needed to start to understand the problem. Then it would also be nice to see the old (failed) scheme along side your new design, to study the differences; to see photos of the failed pieces; fully dimensioned details of the rod end where the failure has occured. You have these numbers and this info., show it. You’d be surprised what an experienced engineer can glean from a complete set of info. and a better set of sketches.
I think Jboggs pretty well nailed the problem in his 4DEC14, 23:43 post. However, I’d suggest the moment is based on a simple beam span from the lower pin on the lever arm on the left, to the clevis pin on the base of the cylinder, on the right. The beam has two basically uniform loads on it; on the left is the rod weight, and on the right is the cylinder and misc. hardware weight. That’ll get you a simplified moment near rod end threads and machined step. Then there are shock loads, axial loads and fatigue at play here too, and likely some dynamic whipping or flexing (a buckling type deflection) of the long rod with each cycle. His comments are spot on otherwise.
RE: Buckling of rod with varying diameter (stepped)
If the joint at the cylinder Clovis is made a pin joint and orientated the same as the other joints, then there will be no bending because all the members become two force members.
RE: Buckling of rod with varying diameter (stepped)
But, if you put a pin at the threaded rod end of the cylinder, you have a three hinged mechanism, and an unstable axial force transmitting structure. Cylinder extension will as likely just force the axial load system out of a straight line, most likely hanging downward. One leg of the triangle will be the cylinder, the second leg will be the hollow rod, and the third will be a straight line btwn. the lower lever pin on the upper left and the rear clevis pin on the back of the cylinder in the OP’ers. sketch.
RE: Buckling of rod with varying diameter (stepped)
That's a very good point you've made, I think we can get round that by moving the rear cylinder pivot onto the cylinder body which will limit its angular movement, however it would need a loci plot to determine exactly where the pivot needs placing.
RE: Buckling of rod with varying diameter (stepped)
B.E.
You are judged not by what you know, but by what you can do.
RE: Buckling of rod with varying diameter (stepped)
First, I would like to address dhengr's message that states I am "too damn lazy" to provide needed info. I'm providing as much information as I can, and I've asked for help instead of giving all of the numbers and asking someone to do the work for me. There has been meaningful discussion here from very smart people that has prompted me to look at the problem from a different perspective. I do not have access to the old, failed part, nor do I have access to any material (picture/videos/reports) that depict the failure. The old system was similar, but different enough that it could be very heavily loaded in both compression and tension.
I've attached another picture to show the assembly from a different angle just to be clear what is happening.
The "flange" that people are referring to is just a threaded insert that is welded onto the extension rod. So the extension rod threads onto the cylinder rod and is secured into position with a jam nut.
I'm interested in the idea of moving the rear cylinder pivot onto the cylinder body, but I'm a little lost as to what this might look like.
Berkshire, you are correct that the shutoff valve operates in tension. However, when it is opened, the pin opening is assisted by the pressure of the material in the housing. There is still hyd pressure applied in the cylinder to move the rod, and if the lever were to seize mid stroke, the rod would be in compression. The stroke of the cylinder is currently such that the end stop is actually the piston bottoming out in the cylinder (which apparently is also not ideal).
RE: Buckling of rod with varying diameter (stepped)
Look at pages 20 and 38 on this link you will see trunnions mounted onto the cylinder body
http://www.boschrexroth-us.com/country_units/ameri...
You will need to layout the linkage mechanism in say 10 degree steps from the valve end and plot the loci of the cylinder and connecting rod.
From your last pic I can see why the cylinder rod end is failing because each time it operates it see's a bending load, if you mount the cylinder pivot toward the front of the cylinder and do the loci plot, you should end up with a four bar linkage mechanism
RE: Buckling of rod with varying diameter (stepped)
the thing i wondered about was if the link, to the revolver body, was running out of clearance (with the body) and getting overloaded ??
i wonder how relevent the previous history is to this link ?
another day in paradise, or is paradise one day closer ?
RE: Buckling of rod with varying diameter (stepped)
Look for any plating issues. Chrome plating contains micro cracks and will dramatically cut down the life. Other coatings can have similar effects.
You can also look at rolled threads to get a stronger part.
Make sure your part does not bottom out or reach end of travel as this will greatly increase the loads on the rod.
RE: Buckling of rod with varying diameter (stepped)
RE: Buckling of rod with varying diameter (stepped)
Alignment being defined by the nut face being perpendicular to the thread axis.
So if you are loading this in compression and have any miss-alignment then the moment you are creating can be thought as a misalignment. Seeing as half the shaft will be in compression and half in tension I could easily see the part breaking.
RE: Buckling of rod with varying diameter (stepped)
A trunnions mount combined with making the threaded joint at the cylinder rod end into a pin joint as I Suggested earlier in the threads will eliminate the problem completely because all the links will become two force members and pin joints cannot carry a bending moment.
RE: Buckling of rod with varying diameter (stepped)
Regarding mode of failure, if the failure occurred over a period of time, then it is quite likely to be a bending failure in fatigue, the fatigue would occur because of the tensile stresses generated during cyclic bending, if you have chance and you have another failure of the type you describe, try and get hold of the components and as much information as you can, even better if you can get some photographs of the fractured parts and post them here.