This is the second part of our Case Study combining Tandem Torsion Axles with a Walking Beam for smaller trailers. In this post we'll get into strength with suspension engineering analysis. Including, a look at the effect of the walking beam mounting on the main trailer frame.
If you're just joining us, you might find Part 1 as a good introduction to the Twin Torsion Axle Walking Beam Trailer Suspension engineering. In the first part we mention 5 important design considerations in combining the torsion axles on the walking beam. The first 4 are the discussion of Part 1. Then:
5. With all the load of a tandem axle arrangement focused on one pivot point, how do we distribute load to the trailer frame?
Use The Force
The first of any analysis is understanding interactions, and in this case, calculating forces. This is a little different than purpose built trailers because it's only the suspension we are designing. However, the suspension must mount to a trailer, so we must also consider that important interaction.
For worst case in our suspension engineering analysis, we will use max forces for this Torflex group, 4000# per axle. From Part 1, we know the axles shift forward slightly with greater load, but at max, the forces balance around the pivot point.
Next, we look at various loading conditions. Evenly distributed load on a shortish trailer is the easiest case, then gradually more intense for longer trailers. Yet, the most extreme customer use case is where the loads are in front and behind the axle - like a car carrier. A car on a trailer places the load at only 4 points where the wheels contact the bed. We'll illustrate with this case because it's severe.
The suspension engineering analysis is not incomplete if we work only to a max trailer load. What about other forces? Two stand out: 1) Dynamic impact loading (bumps on the road); and 2) Braking forces. Impact loading is transitional and unpredictable - and with a full trailer often goes into momentary overload. We handle those primarily with safety factors. On the other hand, we expect brake loads, and we have a pretty good idea of the magnitude.
From a loading standpoint, that's our starting point. The images above are the final design, but are grossly exaggerated - 30X+ real deflection - but they show a reasonable result for how things are loaded. Call it a sanity check.
Internal Forces and Transition Challenges
So, the concept of the walking beam puts all the loading from both axles into one pivot point. Single point loading usually means either big heavy beams, or dangerously high local loads. We don't want either of those, so we must distribute the load to the main trailer frame beams.
For illustration purposes this article uses the 8K Walking Beam and supports because it is much more challenging from a design strength and suspension engineering standpoint.
The first pass at design starts by simply changing the size of the beams to accommodate bigger axles. In this case, twin 4000# axles (=8000# total max), instead of twin 2000# axles (=4000# total). The first analysis shows the areas where attention must focus.
In a first design, the Walking Beam components show higher stress than we like, but interaction with the trailer frame main beam is the big story. Note the high stresses at either end of the suspension mounting. Though this is an extreme load case, that's still to high.
After several modifications and the addition of material for support, everything is within the desired ranges. Changes include: 1) Strengthen the walking beam parts; 2) Spread the forces on the mount and to the trailer frame; 3) Avoid an abrupt transition from suspension to trailer frame beam. Even the extreme loading case is OK in the new design.
Surprises In The Suspension Engineering Analysis
There are 2 things that came out of the analysis that were a little surprising. Well, not so much surprising, but different than expectation.
First is the extent to which the load had to be spread to the trailer frame. Just for kicks, we tried several different beams for the trailer, but more or less, they all displayed similar behavior. (Overall stress changed with each beam size and type, mostly noticed in the top, but the transition area was similar.) It really points to the differences in how the suspension mounts as discussed on Mechanical Elements. And, it's interesting as we consider Trailer Strength.
It's worth pointing out that there are some better ways to optimize the design. However, one of our imposed constraints is to use off-the-shelf material sizes, and minimize the number of material sizes a customer must buy.
Second is the effect of braking, especially on the torsion axle mounting bolts. It's no surprise that braking loads have a significant effect on needed strength, but how that manifest itself in the analysis is pretty cool. This image shows only the areas of stress above an artificial threshold. (Threshold picked because it displays nice.) Everything else is transparent.
In the upper portion (the non-rocking member), note the significantly greater loads in the back (right) portion of the walking beam mount compared to the front. That is the effect of brake loads, and it's as we expect.
The detail view (lower) shows the especially high stress in the bolt. At first it looks bad, but then we realize the steel alloy in a Grade 8 Bolt is several times the strength of standard steel in the rest of the design. That puts it in perspective, and the bolt is just fine.
So why is the back bolt so much more stressed than the front one? It's from the torsion axles. They apply a high moment, and a greater portion of the load from the torsion axle is handled by the back bolt. Just looking at things it is easy to make assumptions that bolts so close are loaded even, but the suspension engineering analysis shows whole story.
And how do we know that's enough? That's where experience and the practical side of engineering come in.
The Take-Away
What do we learn from the suspension engineering analysis?
- Doubling capacity from 4K to 8K makes a big difference in how the design optimizes. A comparison image of the 2 final designs is below. We expect this, yet visually the change is significant. That said, the span of the mounting to the trailer frame is in line with the span using leaf springs on a typical tandem axle setup. So, in suspension engineering, like in other areas, we follow the numbers.
- Distribution of the load from the suspension to the trailer frame is pretty sensitive to the way the load applies. Spreading the load, and especially the transition of the load really benefits the trailer as a whole. (Of course, we temper the thought by the severe load case in the analysis. An evenly distributed load is far less severe.) Yet, even with what seems like a wide mount, the cost and weight addition is minimal, and the benefit is big.
- Materials are important. It's easy to take things like bolts for granted, but in some cases like this design, a typical Grade 2 bolt might not survive.
If you're interested in building a suspension like this, plans are available through our Do-It-Yourself website, Mechanical Elements.com Enjoy.
I am in the process of building a 4K dual axle subframe and I have already concluded that an extension of the mount to the frame subframe is a worthy addition as shown with the 8K design. I think that is where the designs fall apart (pun) occurs when the axle design meets the trailer frame design. Does one design complement the other? With frame sub assembly breakage, I think so.
I'm not sure what you are asking.
Would really like to hear your comments on Timbren "Silent Ride" walking beam that has a VERY short leading and trailing arm apply a large twisting element to what appears to be axles mounted with just a simple U bolt?
It's a good observation, but I'm not sure if it's a concern to worry about. Every suspension has some compromise - which is why we all keep tinkering - even Formula 1 cars. I think in a high articulation situation, the axles would act as torsion beams like the torsion bar in your car, to resist full articulation. Maybe it would slip the U-bolt if it was not tight? I don't fully know because I have not used one. Generally, from what I've seen, I like the "Silent Ride" approach. That said, I don't think it's intended as a Jeeping adventure suspension.
What would you do to limit the "twisting" motion (to the side with "z" axis going through the beam pivot point) when using half axles. Also what about using shock absorbers with a walking beam?
Half axles will place a huge "twisting" or moment load on the pivot. With big enough bearings and some added length to the pivot, and it can be designed. Timbren has a product similar to that.