# How to design a narrow bearing that supports shear direction load

I need to connect two flat bars of metal with some kind of bearing that doesn't increase the joint thickness by more than 2-3mm (the less the better), as shown here:

There are almost no axial loads but the peak lateral (shearing) stress on the bearing would be of order of 2000 N with 800 N sustained being the norm and the directions of the stress varies (although axial respective to the lower beam would be most common and strongest).

There is a serious restriction on thickness of the joint - the present 10 mm is already pushing the envelope; another 2-4 mm would be acceptable though unwelcome.

The bars will be steel or duraluminum. There are extra braces, etc., which prevent buckling and limit stress in the perpendicular direction to negligible levels, but the two bars need to carry axial stress and lateral stress "in the thick direction".

Moderate friction is acceptable - 5 N·m friction torque is still a reasonable value. Rotation is moderately fast, at most ~1 rev/s, usually much less. Also the range of rotation is limited; only 30-180 degrees angle between the two bars is needed (and even a little less than that if necessary). Lifetime doesn't need to exceed 1000 hours; less for the prototype.

This will be prototyped using a common DYI workshop without specialized machinery like CNC devices, also preferably no very expensive solutions - of course purchase of a pre-made bearing fitting the criteria would be perfectly acceptable if the price is not excessive.

What kind of bearing or joint would fulfill these prerequisites?

EDIT: Let me add a picture explaining the general layout of forces:

In general situation any common bolt, bushing (with flanged axis) etc. would be sufficient. Here the problem is getting it all to be narrow enough not to extend way out of the narrow plane occupied by the two bars, and not fall apart.

• Can you clarify which direction the 2000N load would be in? Is it pulling on the ends of the bars? I have a feeling there's a need here to balance the size of the bearing and the remaining radial thickness of the bars around the bearing, to make sure both parts are strong enough. May 4, 2015 at 16:00
• @TrevorArchibald: Imagine loads that human knee must withstand, squatting, running, walking, stopping, accelerating, jumping. The main load is downwards but both bars turn respective to it, remaining in vertical plane and resisting turning due to tendons and muscles creating torque, static weight and dynamic loads.
– SF.
May 4, 2015 at 16:13
• (omit the stabilizing influence of tendons on the knee; all "forward/backward" loads need to be carried through the bearing (but they will be weaker than the "downwards" loads, and "upwards" ones (stretching) will be relatively weak.
– SF.
May 4, 2015 at 16:24
• I'm assuming that you have looked at whether or not a plain bushing or just a regular hole with bolt would provide the required strength?
– hazzey
May 5, 2015 at 2:09
• Edge mount the bearing from a "Lazy Susan" perhaps - amazon.com/Capacity-Bearing-Turntable-Bearings-VXB/dp/… Jan 18, 2017 at 9:14

This is one solution for a flush mounted bearing.

You can use a 5 mm wide ball bearing on one leg of it. A ball bearing is preferred here since it more suited for minor thrust loading.

To prevent the bearing from working its way out, it can be cryogenically chilled in liquid nitrogen, and then pressed into place. When the bearing warms up to room temperature it would expand tightly against the metal flat bar causing it to be locked in place.

The same can also be done with the shaft that rides in the bearing, affix the shaft solidly to one flat bar by cryogenically chilling the shaft and pressing into the flat bar. Then press the entire assembly into the inner race of the ball bearing.

Heating the steel flat bar instead of chilling the shaft or bearing can also work for press fitting, as in this case you are expanding the hole beforehand instead of shrinking the part. But to secure the the shaft to the inner race of the bearing by heating, you need to heat the bearing itself, but overheating the bearing will cause it to lose its temper.

If you want to secure the assembly even more you can peen around the outside of the bearing and on the ends of the shaft.

... if weaker attachment methods are acceptable, you can try assembling the parts with red loctite or cyanoacrylate super glue instead of press fitting.

• That sounds pretty nice although it will require the parts machined to a very narrow tolerances and use of LN2 - something out of reach of a common DYI workshop (although we could probably outsource it to a professional.)
– SF.
May 6, 2015 at 14:49
• For the small workshop I would try undersized reamers for the flat bar holes. And for chilling purposes, liquid CO2 or dry ice from CO2 fire extinguishers or some other source of liquid CO2, like from mig welding tanks or soda fountain carbonator tanks. May 6, 2015 at 15:06
• or just plain gluing the parts together May 6, 2015 at 15:16

I recommend a sliding contact bearing. It's easy to manufacture and seems to do the job for a prototype, especially if it has to be cheap. Steel seems to be the better choice in this case.

Rather use two thinner bars for one of the links, so you get a double lap. This will reduce the moment on the bearing and yields a more even contact stress distribution. So if you can really spend 3 mm more, you can split into two 4 mm bars instead of one 5 mm.

Use a drill press and a reamer to achieve small clearence. All pieces of the bearing point can be drilled and reamed together. But for the middle bar, the inner one, you may use a press fitting. Thus the bolt will only move on the outer bars where a transition fitting shall be a good choice.

Perhaps you want to invest in bronze sleeves for the bearings. It will lower the friction and result in longer lifetime.

P. S.: If you have to chill something to a low temperature, it's often enough to use dry ice (CO2) and ethanol or aceton. This yields about -75 °C. It's not LN2 but often you don't need -195 °C.