Back to school.
Words and graphics: Andy Hornsby
Photos: Harley press pack

If there was ever a subject destined to make kids squirm, it was going to be geometry -which is perhaps why people shy away from the expression when it relates to motorcycle handling.

please reload page if American-V interface is missing


There are many aspects of a bike's shape that affect its behaviour, but the one that is most easily identifiable is the geometry of the forks. We inherited it from the bicycle and it is this that sets a Harley-Davidson apart from a Yamaha R1, a cruiser against a trail bike, a tourer against a sportster. Without straying from the special interest area of these pages, the differences can be see quite graphically between the two rising stars of the Motor Company's ranges: the V-Rod and the Firebolt. The V-Rod's forks are kicked out further than any production motorcycle before it, while the Firebolt's are tucked in tighter than any other bike its size has so far dared to attempt.

But what are the implications beyond the cosmetic?

Well, it's really quite simple, in its basic form.

The relationship between the frame and front wheel is governed by a number of factors, and because the front wheel is the steering wheel of a motorcycle, the handling of the bike is radically affected.

Rake
It all starts off at the headstock of the frame. No mystery here: the frame needs to join with the forks and it does so at a tube with bearings at the top and bottom through which passes the fork's steering head. The angle of this tube to the vertical, when the bike is fully trimmed, is referred to as the rake, and in all but specific custom applications, the angle of this tube, the steering head, is the same angle as the pivot point of the forks.

The rake is NOT the angle of the forks, although in a lot - if not the vast majority - of cases they happen to be the same, but Harley have been playing. Not often known for ground-breaking engineering, Harley-Davidson are more adventurous than most in playing with the fork yokes to such an extent that the apparent rake, seen in the more easily spotted fork legs, is not always as it appears. The first time we were really aware of it was the 4-speed FXWG which shared the common FL frame of the shovelhead Electra Glide, complete with its 30-degree rake, and they built a couple of degrees into the yokes to give it the appearance of a chopper without rejigging for the chassis. Neat idea, but not new to the Motor Company who had been doing the opposite with the Glides for years with a -2 degree rake.

Small differences had been seen before but the odd half a degree or so can be explained by the height of the back end off the ground compared to the front: if the back end is lower, and the front end higher, the whole bike's natural horizontal line slopes up at the front, thereby making the natural vertical line lean backwards, affecting the rake. To see that at its most visible, dig out a copy of an early-seventies bike magazine and check out the effect of sticking twelve-inch overs into an unmodified frame: it makes a British vertical twin look like the back two pots off a Honda V4 and makes you worry for the poor oil pump that has to scavenge its crucial juices from a completely different place than Edward, Bert or Val ever anticipated.

I mentioned specific custom applications previously, and it is interesting to note with respect to that, that there are aftermarket frames out there which have a bigger than normal headstock and provide the ability to change the angle of the steering head as it passes through, by use of eccentric bearing housings.

In short, the rake of a frame is a contributing factor that helps determine the speed of response of the steering: steep = quick steering, laid back = slow steering.

Trail
The second part of the equation is determined by the distance at ground level between a vertical line intersecting the wheel spindle, and a line that passes through the headstock at the angle of the rake. It is almost guaranteed to be the case that the line through the headstock will hit the ground some way ahead of the vertical line intersecting the wheel spindle - the odd exceptions would be experimental works by Tony Foale which elicited some interesting results - and this affects the ease with which the bike steers. The longer the distance, the more stable the bike is, but the heavier the steering; the shorter the distance, the lighter, and more twitchy the steering is. Cruisers have a longer trail, sports bikes a shorter one. It doesn't mean that cruisers don't go round corners, or that sports bikes don't go in straight lines, but it does affect how easily they do both. A classic, utility motorcycle will have the best compromise between the two, being startling in neither respect but being predictable in both.

A final example of the respective advantages of playing with the trail of a motorcycle comes from the days when motorcycles were cheap transport, and sidecars were good family transport. A useful trick on a bike with leading axle forks was to ride the bike solo during the week with the axle leading, and reverse them at weekends when you attached the sidecar for a run out in the country. The additional trail made the outfit much more stable and easier to keep on the straight and narrow, at the expense of heavy steering - although steering on such devices is usually heavily damped so you'd probably not notice. It was a wonderful cheat until twin-leading shoe front brakes came out because you couldn't quickly reverse the front wheel and maintain good braking (TLS shoes become twin trailing shoes when run backwards, as anyone who's ridden a Russian motorcycle backwards - or a three-speed and reverse-equipped big twin - will tell you), and now we've got discs, there are no longer significant numbers of sidecars.

In short, the trail of a bike determines the lightness of the steering: short trail, light steering.

ERRR … What?
If you're struggling to get your head around the principles of this, it is worth reverting to another means of specifying the geometry, which is referring to "castor" angles.

If you're not, go to the next subheading.

We all know - even if unknowingly - about castors, They are all around us: under furniture and the curse of tired shopping trolleys. A conventional castor has a shaft that pivots - like a steering head except vertical - and an offset which puts the wheel behind the pivot: net result being that the wheel follows the pivot (or at least it does as long as the pivot is rotating freely, and the plates that hold the wheel haven't been wrecked by the unexpected weight of the car park stunt team on the disabled ramps). It looks different but it is identical, just rotated through to vertical.

With a shopping trolley - which is as good an example as I can give because everything is visible - the rake is zero degrees: bolt upright. If the wheel was mounted directly underneath the pivot it would have a trail of zero millimeters (or inches, funnily enough). If you pushed such a trolley forwards, there is every chance that the wheel would be at ninety degrees to the direction of travel and you'd go nowhere fast - the wheel would have no inclination to straighten up to aid forward progress. Put the wheel an inch behind the pivot and it will swing into line behind the pivot and move forwards easily - and all without the need for steering.

But we've got handlebars for steering, so what's the problem?

This is where the geometry comes in. If you put a single castor with zero rake and zero trail at the front on a shopping trolley and attached a "T"-bar to it, you could make sure the wheel was facing in the right direction and resolve the problem … until you pushed the trolley ahead while you got something off the shelf at which point it would have no directional stability and would tend to steer in a direction determined by the weight loading. Put the trail back into the equation and it would tend to steer straight ahead. Every inch behind the pivot that the wheel was located would increase the tendency for the trolley to steer a straight path with or without input, but conversely it would make it harder to steer it in any other direction. It would also increase the side loading on the pivot point and any of the components that comprise the assembly.

It is actually possible to produce a bike with zero trail or negative trail but you wouldn't be advised to do it on the grounds of stability as it would have as strong a tendency to turn as it would to go straight ahead if you took your hands off the bars. Very interesting but it would give you much more to do than is absolutely necessary in keeping the bloody thing in a straight line, and at even thirty miles an hour on a 600lb motorcycle, you'd be a braver man than I.

You could go further and actually give yourself a negative trail. This would be the same as putting the wheel in front of the pivot on the shopping trolley and would have the same effect. As soon as you pushed the bike or trolley forwards, the wheel would attempt to follow the pivot. If you never needed to take your hands of the bars, and you had very good steering lock stops and fancied arms like Arnold Schwarzenegger without paying out for a gym membership, it might be exciting for a time and would probably look great, but it wouldn't behave well.

Tony Foale's tests showed that a motorbike can survive with a very radical, almost vertical steering head retaining a standard trail, which provided better handling … but it looked 'orrible and a complete redesign of the motorized bicycle would have been required to get it past a very conservative market.

Yokes & Forklegs
More than just something to have cut out of billet to make the bike look better, the yokes can be the making or the breaking of any bike in terms of handling.

The current tendency in sportsbike terms is to have as straight a line through the centres of the steering head and forklegs. This keeps the trail short, making the steering lively. Because the fork legs are likely to be parallel with the steering head, and because the wheel spindle of such machines passes through the bottom of the yoke, you can get the minimum rake with the least radical appearance. The downside is that the steering has a limited lock. You can cheat, of course. You could reverse-rake the yokes so that the forks were at a steeper angle than the headstock, or you could reverse a leading axle fork slider to give a trailing axle and bring the wheel spindle behind the fork leg - the aforementioned, time-honoured trick of the sidecar fraternity to give outfits greater straightline stability - you don't need steering on an outfit beyond ten miles an hour because that is almost entirely passed over to judicious use of the throttle and brakes.

It is far more common to see the back end of a sports bike kicked up in the air to reduce the rake because messing about with a couple of well-placed shims is much cheaper than hacking at the frame with a gas axe and protractor, and CNC lathes and lumps of billet don't make experimentation within the budgets of the masses.

In the cruiser market, and equally true of chops, greater stability is preferred and so raked yokes are a quick and easy way to kick the front end out further. Or you could triangulate the yokes more than standard, placing the fork tubes forward of the steering head, increasing the trail that way, or using a leading axle fork slider to plant the wheel spindle ahead of the fork leg - a common trick when US custom versions of the big Jap superbikes of the late seventies were in vogue.

Yokes are the way Harley prefers to play with geometry and they do it well. What started with a few extra degrees for the Shovelhead Wide Glide is continuing through the V-Rod which increases the already radical 34-degrees frame rake with an additional 4 degrees to give 38-degrees, and the visual impact is amazingl.

You too can play with yoke angles quite easily because they are available off-the-shelf either with in-built rake - which is the more common - or adjustable yokes from the likes of Tolle with - check this out - between zero (normal) and seventeen degrees (!!) of rake - although the more raked out the yokes, the greater propensity for getting a zero or negative trail.

Less obvious is the touring frame which combines a 28-degree rake with the most bizarre yokes and gooseneck frame. The gooseneck is essential because the yokes are reversed. That is to say the headstock is in front of the fork legs, although you can't see it as it is all tucked away beneath the plasticwork of the Electra, or the nacelle of the Road Kings. Without the gooseneck, the fork legs would clash with the tank, and the fact that touring Harleys have Wide Glide forks is fortunate to further aid the full lock of the steering - although it is still less than most others in the respective ranges as anyone who's had to manhandle one around will testify. In the Electra's case, it is a trade-off between making it light enough to turn lock-to-lock with the minimum effort, or giving it a greater lock that fewer people could wrestle with.

Fork Types
Telescopic forks are the order of the day. They comprise two types whereby the basic ones have the stanchions (shiny chrome) at the top and the sliders (aluminium tubes) at the bottom and the upside-down ones are ... well, upside-down. There is only one reason why the latter are better than the former and that is that steel tubes can actually be lighter in the form used than the aluminium tubes, so making the bit that goes up and down with the wheel - the unsprung weight - less. Oh, and they look better on high-tech style bikes.

And that would be the end of the story except BMW brought our the telelever - which divorces the sliding of the stanchion and slider from the springing, reducing weight and endowing it with good anti-dive properties to boot (which I can't draw so you'll have to look at a BeeEm if you're interested) - and Harley dragged out an old friend from retirement: the Springer.

The Springer fork harks back to a time when the world knew lttle of damping, and everyone was pleased just to have something absorbing the worst of the bumps. It had rivals, in the form of the Castle forks fitted to Brough among others, and the Girder forks fitted to just about everything else, but they all were superceded by the arrival of damping. Damping came in oil form, in a tube and that tube became the fork leg. Damping prevented the spring that had so generously absorbed the bump in the road from rebounding with almost as much vigour and so was considered - quite rightly - to be a good thing. Girders did adopt hydraulic damping for a time, with the Girdraulic forks championed by Phil Vincent, but the writing was on the wall.

In their enthusiasm for the past, and especially considering their reinvention of the hardtail frame's lines in the 1984 Softail, Harley-Davidson reintroduced the Springer forks in 1990, but they were spingers with a difference: they had damping. Yippeee.

For those unfamiliar with Springers - and as Harley withdrew them from the UK market in 1998 there could be a few - they comprise a pair of rigid, narrow gauge fork legs that run elegantly from the top yoke, broadenening below their fixed bottom yoke to clear the sixteen-inch wheel they would originally have accompanied before running down to a bush or bearing. Into that bush or bearing would go the "Rocker" arm that would freely rotate but for the restrictions of the forward fork legs which run parallel to the rear legs up to a bridge. This bridge both ties them together and forms the anchor for the springer rods. These springer rods pass through special bushes in a bracket in the top yoke beneath which are the main compression springs, above which are the rebound springs. The springer rods have enough space between them to allow a new bracket to pass through, and that bracket holds the damper, connected to the bridge and the top yoke. Forks are no use without a wheel, and the rocker arm travels forward of the front fork legs to hold the wheel spindle.

Springer geometry works exactly the same way as any other forks, although steep-looking Springers are actually a lot more laid back than appearances suggest with the leading axle configuration of the rocker set up. There are three things you need to know about new-generation Springers: they are bastards to clean; they are bloody heavy; and they work better than they have a right to.

Extremes
Very steep rakes can get unstable and people fight shy of them because they can get a little out of hand as some very big names have found out, but we're more interested in the other extreme I'd guess.

Extreme rakes suffer from the laws of gravity. It's not that they'll bend - or at least they shouldn't - more that they won't slide and absorb the bumps as they should. This is called stiction and is the point at which the sideloading forces on the fork bushes are greater than the forces of the road bumps so the sliders don't slide. You will also be aware that the shallower the rake, and the longer the forks, and the greater the leverage stresses on the headstock will be so it needs to be proportionally stronger to cope with it. Just for a laugh, draw a cartoon chop with massive rake and then draw lines corresponding to the rake and the vertical line intersecting the wheel spindle: perhaps the ideal bike for a latterday Roman given their historic passion for the straight and narrow, but God help you if you find a corner.

In Practice
Raked yokes get round a lot of the problems with excessive rake, but you can go too far and just as stresses need to be understood and accounted for in radical frames, so too in radical yokes. Adjustable raked yokes are commercially available which will allow you to experiment a little, and 4 degrees isn't out of the question. What difference does 4-degrees make? SuperGlide Sport (28 degrees) to Low Rider (32). Or how about Buell Cyclone (23.5 degrees) to Sportster Sport (27.5). You could even try the V-Rod look (38-degrees of fork angle) with your Custom Softail (34). It would enable you play round the back lanes in the morning on your SuperGlide getting the most out of the tight Dyna chassis, and then switch it for an afternoon's run back over sweeping roads in an altogether less hurried manner: Jeckyll and Hyde. You won't realise the true nature of the extra 4 degrees because it isn't true rake even if it looks like it, but the upside is that it will be generally lighter to steer because the fake rake will be accompanied by a reduced trail.

It seems like a contradiction, but it isn't. The reason why a long trail and shallow angle suits cruisers is that the heavyness of the steering makes straight roads a doddle, and the slow steering just helps you keep to your line. A steeper angle and shorter trail will be more lively, better suiting a sports bike.

Keeping a shallow custom bike angle but foreshortening the trail gives you the straight line stability and aesthetic lines, but offers easier steering: Street Custom. Keeping a tight rake but increasing the trail will keep tight steering but the increased steering effort will aid stability - Sports Tourer.

It goes without saying that this is only part of the whole handling equation: there's weight, unsprung weight, springing and damping before you leave the front end and decide on hardtail or suspension, wheelbase, ground clearance, tyres etc.

But then no-one said it would be easy.

If this has whetted your appetite for knowing more, I recommend that you take a glance at Tony Foale's articles that he has reproduced on-line, and you'll find them, complete with massive detail of practical experiments on: http://www.ctv.es/USERS/softtech/motos/Articles/