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FEA - Bolted Joint Interface Stresses

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Jieve

Mechanical
Jul 16, 2011
131
Hello,

I am a mechanical engineer relatively new to design (<1 year), work in technical education and am working on an independent machine design project of a machine used to demonstrate machine vibration phenomena. I have been running FEA analyses on parts/subassemblies on the mostly finalized design to determine things like optimal rib locations and bolt clamping stresses using solidworks simulation, as most of the loaded parts are to be made of 6082-T6 Aluminum, and I was concerned that the class 8.8 M10 hex screws used to bolt down the caps of a pillow-block style bearing housing to 75% of proof could cause heavy embedding and local yielding issues. I have never taken a formal FEA course, but I’ve had the luxury of not being under time pressure on this project and have spent the last 2 months pouring over internet forums, technical documentation and practice problems. I have even purchased and worked through all of the exercises in two books specifically aimed at solidworks simulation (I’m using 2011), so I feel that I have a relatively solid understanding of the pitfalls and details necessary to produce relatively accurate analyses. However, I have a few questions for you guys out there that have been doing this for a long time.

1) As I understand from the solidworks forums, the software’s bolt connector does not give accurate results at the bolt head and nut/part interfaces. Since I am interested in the compressive stresses at the bolt hole locations under full bolt preload, I have simplified the problem by creating what are essentially 2 pucks, one representing the bolt head with washer face diameter, and one representing the nut (I think I remember reading a technical document from ANSYS where this was a simplified method of modeling bolts, but doesn’t take into account the joint constants). As these are class 8.8 screws, I created a material definition with a tensile strength of 800Mpa and Yield of 640 (these according to the Tabellenbuch Metall (Mechanical and Metal Trades Handbook), german version of the Machinery’s Handbook), and applied them to the pucks. Contact was node to surface (as otherwise surface to surface seems to take FOREVER) and I applied forces normal to each of the pucks to represent the preload, something around 25000N. I put small radii on all corners (normally I try for 3 rows of elements along each radii min, but this time I stuck with defaults) and ran an h-adaptive analysis. This brings me to my first question: When adding fillets to interior edges for the sake analysis, is there a rule of thumb as to what size they should be? I understand everything should be radiused and called on drawings. But let’s assume a part was simply milled or drilled without radiusing. For example, as drilled (not deburred) bolt holes, or as-milled 90 degree edges, with no radii called out. Or the outer edge of ground washers. Of course sharp corners are bad news = stress concentrations, but in real life these stresses are not infinite (obviously), whereas in software, the stress is infinite. With regard to software when setting up the problem, how small is minimum for an accurate representation of a real-life sharp corner? Using the method I just described, even with radii I seem to have convergence issues (stresses keep increasing).

2) This may seem like an ignorant question, but hand-calcs: assuming the washer is significantly harder than the clamped material, is it safe to assume a ballpark figure for the compressive stress to be nothing more than the bolt preload force divided by the washer contact area?

3) I setup another problem similar to (1) above except used a disc washer (used actual washer dimensions) between the pucks. The washer hardness is 300HV (tensile strength of around 1000Mpa) so I used one of the steels in the solidworks material library that somewhat resembled this (I couldn’t find any more data than this). In every modeling case, I found that the stresses around the internal edges even with fillet radii on every corner and a superfine mesh were excessively high (I’m only using an elastic model for the material though) but we’re talking 10x yield, which OF COURSE is not realistic since plasticity isn’t taken into account, but regardless this just seemed excessively high. I wasn’t able to run a convergence study just because the mesh was so fine that even with my quad core 8 gig ram comp it took over 24 hours to complete. I found that the inner edge of the washer was buckling inward. Any input, comments on this? A better way to do it maybe? I wanted a realistic model, and am also trying to hone my skills using some of these problems as exercises.

4) BTW I’ve been using the Direct Sparse solver in solidworks usually with large displacement checked.

I’ve tried to attach some pics to give an idea of what I’m doing, hopefully both of them worked. Thanks for any info.
 
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I'm not quite sure what you want to achieve with your FE model, but doing bolt calculations with FE, hardly gives you "correct" results. You can use FE to "produce relatively accurate analyses" according to FE theory, but I assume you want real life results. And real life is never as simple as FE theory will model, especially not in such a complex, non-linear environment as bolted connections. And, by the way, sharp corners does not exist in reality. You will always have a radius, although (if you have enough money) it could be very small.

Well, that kind of sums up my sceptisisms to using FE for bolted connections. And I have used FE (NASTRAN and ABAQUS) for almost 25 years.

I would stick with the Machinery Handbook (or VDI 2230) if you want to do a real bolt connection design. It will always be more accurate and safe than whatever you can achieve with FE analysis of bolted connections.
 
Hi Jieve

I've just done some calculations similiar to what your doing by hand, just take the area of the Washer if you wish, but I used the square of the bolt clearence hole and subtracted from the square of the washer OD to get the actual surface area of the washer under load and then divided that into the clamping force.

desertfox
 
Strictly speaking FE theory is only valid for a "continuum". The theory is invalid for any form of dis-continuity, of which contact is about as big a dis-continuity as you can get. This is why FE involving contact is very difficult to achieve a meaningful result, and when you do get a result that appears to be giving expected results you can never be sure how much you can rely on them. Confidence in the solution will always be low. Best follow advice already given above!

quality, cost effective FEA solutions
 
Guys, thanks for the responses.

My purpose in solving this problem was 2-fold: academic, to improve my understanding of FEA's handling/modeling of contact pressure at bolted connections, and practical: the baseplate on which the parts are mounted is thin (10mm) and large (700x400mm). I was running analyses on different rib configurations and was concerned that in areas of high bolt preload, the combination of bending stress and compressive stress from the bolt connection may cause local yielding. This is the reason I was running the analysis, and to compare to hand calcs and see how good of a correlation I can achieve.

I realize that in real-life there are no such things a sharp corners. However, my point in asking this question was simply to find out if there is some consensus as to what radii should be used for mathematically modeling parts that have unradiused milled edges, for example, without a radius called out. Of course in my CAD drawings I can detail corners to the micrometer level to capture the surface roughness of a real milled part, but for running an FEA analysis this is unrealistic. I was hoping someone could give me an idea of what is done in practice.

The F/A calc seemed to correlate reasonably well with the surface stress I was getting from one of the other FEA "puck" models I did, and the pressure cone distribution into the part seems to match the description in Shigley's Mechanical Engineering Design. I'm not necessarily looking for 100% perfectly accurate results (this would of course be nice, if perfectly accurate exists), I just wanted to get an idea of the stress distribution in the part under the combined stresses so that I can be confident that it won't yield.

Thanks!
-Matt Stracker

 
Also, what I meant by "relatively accurate results" above was that the FEA results and the hand calculation results are within some reasonable percentage of each other.

Matt Stracker
 
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