Reflections on the potential of human power for transportation

Monday, December 21, 2015

The Sinclair C5: The Worlds Worst Invention or the Template for an All-weather E-bike

I confess to being overly fascinated by the Pedicar. Maybe because it became available when I was discovering recumbents and realizing there were more utilitarian human-powered vehicles than the safety bicycle. It made a significant public relations splash because it was aimed at replacing the automobile for short trips. And at least one auto maker, Chrysler, took enough notice to lampoon the vehicle.

Now if available today, the Pedicar would make a worthy commuter vehicle. Placing the rider’s head at the same height as an auto driver, it had good visibility on the road, a feature I feel is a must if you are going to ride next to 35mph traffic in a 36” wide bike lane. Add wheel pants and a more aerodynamic body along with rotary pedals and a derailleur shifting system and you would have a faster, lighter and less expensive vehicle. (It probably would not climb hills as well.)
Drive the wheel (wheels) with an electric motor and you would have a very functional all-weather E-bike. (I use the word bike in this sense to refer to a pedal-powered vehicle that can have more than two wheels.)

But not so fast! In the US and other countries, and E-bike can have no more than three wheels. Add a fourth wheel and you become a moped, losing the legal status that lets you use bike lanes and bikeways.

And removing that fourth wheel causes problems with the vehicles ability to corner without overturning. The Pedicar, with a 36” track had a rollover resistance of in excess on one gee. If you went to a three-wheel layout and located the center of gravity (c.g.) such that each wheel was equally loaded, (1/3 of the wheelbase from the paired wheels,) the rollover resistance would be reduced to 66% that of a four-wheel vehicle.

Let’s look at some contemporary all-weather E-bikes.
The ELF is manufactured by Organic Transit and uses the tadpole wheel configuration (two front steered wheels and one rear driven wheel). I would consider it a laudable effort at producing an all-weather E-bike, (AWEB) but it has some issues that would prevent me from using in in my commute to work, namely it has a 48” width. 

The width is necessary to prevent rollovers when cornering. I will assume the track is 44” and there is 2/3rds of the weight on the front wheels. Even with the added width, compared to the Pedicar the ELF’s roll over resistance is only 80%.

In addition to the 48” with causing the ELF to hang out into the auto traffic lane on some bike lanes, it results in poor aerodynamics. This may not be an issue because E-bikes in the US are limited to 20mph, in some cases with pedal assist and in others without.

 The ELF uses a 750W electric motor to achieve its 20mph, which is the maximum power for the E-bike regulations the Organic Transit people are citing. With respect to the power a human can generate, 750W is a lot of power. World-class cyclists can sustain half that amount for about an hour. A racing cyclist requires about 155W to go 20mph (Bicycling Science 3ed-D.G.Wilson). This source states that a commuter-human-powered vehicle should require on the order of 75W to go 20mph. (The Organic Transit site states that the ELF has the same drag coefficient, Cd as a bike rider. We know that air drag is proportional to the product of Cd and cross-sectional area, so we can extrapolate that the ELF has about four times the frontal area of a bike rider.)

Vehicle weight is between 170 and 190lb
So as a pedal-powered-only vehicle, the ELF is not very efficient. As long as the battery is at full charge, this is probably not an issue. Run the battery down, however, and you will be working very hard to hit 15mph and with a topped off battery it will require a lot of effort to reach 25mph.

The prototype Velocar from VeloMetro has a layout similar to the ELF and, as a result will be subject to the same issues.
Now the 33% loss of rollover resistance when going from a quad to a trike is based on locating the c.g. so all the wheels are equally loaded. There is no requirement to do this. If the c.g. were located near the paired wheels the rollover resistance of a trike would be minimally compromised. With a typical tadpole layout, this would result in a lightly loaded drive wheel and potential tire slippage. Unless, of course you are driving and steering the front wheels (which, while technically interesting is more complex an approach than driven the rear wheel only).

The alternative trike layout is the delta, with one wheel forward and two wheels back. Biasing the weight toward the rear wheels aids traction but results in the front tire being lightly loaded and more prone to lateral slippage in slippery conditions. A delta trike, with an enclosing body, is inherently more streamlined than the tadpole trike, because the steered-front wheel is easily enclosed within the body.

The Sinclair C5 was a delta trike. A sectioned view is shown below.


The C5, the brainchild of the British industrialist Sir Clive Sinclair, had been called one of the world’s worst inventions. Even so, until the sale of the Nissan Lear, It held the record for number of electric vehicles sold at over 7500 units. The separation between genius and madness is often small.
The C5 used a 250W motor to reach 15mph, the legal limit for vehicles of the type in Great Britain. IMO the vehicle was quite attractive and relatively aerodynamic. Bicycling Science gives a racing cyclist’s power to travel at 15mph as approx. 80W, but unlike the ELF the C5’s inefficiencies were a result of rolling resistance and mechanical losses.

The front tire was 12” in diameter, the rear tires were 16” in diameter. There was only one pedal speed and no provision to adjust the distance between the seat and pedals. The crank length was about 130mm (normal is closer to 170mm) and the gear was about 44”.

Wheelbase was 51” (not too long for a recumbent bicycle), width was 29” and the seat height appeared to be on the order of 12 to 14”. Vehicle weight with a battery was about 99lb.
A custom geared motor drove the left-rear wheel through a belt drive and the pedals drove the right-rear wheel through a freewheel on the axle.

An attempt was made to allow the wheel-support outriggers on the rear chassis to flex and result in some suspension. (Photos of used vehicles show that the chassis developed cracks between the outriggers, suggesting that the chassis designer, Lotus Sports Cars, underestimated the stresses the flexing would cause.)

The video below is quite lengthy. If nothing else, skip to the end to the C5 on the road. It doesn’t seem to roll very smoothly. I don’t know if it is due to wheel size or lack of rear suspension. The original front wheel rims were plastic with caliper brakes acting on them. The brakes resulted in the rims melting so restorers often used pram wheels in the front. These could be as small as 8” in diameter.

From a human-powered assist perspective, the biggest design flaw was that the pedals seemed to be added after fact as opposed to being integrated into the design. Restorers often insert a 3-speed hub ahead of the rear axle to get the extra speeds. Making the seat to pedal distance adjustable is not something that could be easily retrofit-able because of one-piece chassis and one-piece lower body pan.

Besides the pedal-ergonomic issues, other concerns were that the rider sat too low for good visibility in traffic and inadequate weather protection. The former concern was addressed by adding a framework behind and above the rider that held reflectors. The latter was addressed by optional side curtains and a rain suit for the rider.

Three factors probably resulted in adequate rollover resistance. The seat height was relatively low compared to the track of the trike. The c.g. was biased strongly over the rear wheels and the maximum vehicle speed was only 15mph.

In 2010 Sinclair was working on resurrecting the concept of an all-weather E-bike in the form of the X1, which is a true bicycle, having only two wheels.

The latter part of the video below deals with the X1.

As the comparison illustration states, the X1 had better weather protection and a higher rider height Than the C5. The top of the vehicle is 55”, which in the photo next to an auto, looks like it should be even higher for good visibility. On the other hand, the roof of my Honda Civic is about that height. The width at 27” is 2” narrower than the C5. Both wheels are now 16” in diameter. Although it is not stated, the fact that, at 83”, the X1 is approx. 12” longer than the C5 may indicate that the seat to pedal distance may be adjustable by sliding the seat. There is no indication that the vehicle had more than one pedal speed. The electric motor drives the rear wheel and produces 190W and the overall vehicle weight with battery is a light 66lb. Like the C5, the design of the body is quite attractive. The vehicle seems to roll with less vibration than the C5. Partly because of the longer wheelbase, (about 73” vs the 51” for the C5) but mostly because both wheels appear to be suspended.
The fact that five years have passed and there is still no commercial X1 may indicate that the design had issues that prevented it from being commercially viable. I can speculate about what one major issue might have been.

Going from a tricycle to a bicycle, one loses the static stability necessary to get into a semi-enclosed vehicle. The body can interfere with lifting the support foot up when starting and putting a foot down when stopping. Even though there are cutouts in the lower body so the feet can touch the ground, the cutouts prevent the feet being paced laterally very far from the vehicle. So one must put their foot down before the vehicle has tipped very far. In the video above, we see the rider stopping but not restarting, the more difficult of the operations. See below.

So the Sinclair team apparently went from three to two wheels as a weight saving and lost the static stability in the process.

So as is my want, l would like to speculate about the changes required to the C5 to make is a viable all-weather E-bike for the US market where the top speed could be 20mph. 
I would use larger wheels, 16” in front for better rolling resistance and 20” in the rear for the ability to obtain higher gears.

I would make the seat to pedal distance adjustable by making the structural frame in two parts. The rear part would hold the rear wheels, the seat, batteries and any cargo. The front part would hold the front wheel and the pedals. The front part could be slid into the rear part to adjust seat to pedal distance. A similar approach is used in the Kettwiesel tricycle below.

I would have the seat height about 18”, placing the riders head about 48” off the ground wearing a helmet. I would keep the bottom bracket at about 15”, as low as I could get it without having the rider’s heals scrape the ground.

I would use a single chainring in front and attach a cassette to the rear axle. I would connect both rear wheels to that axle through freewheels, thus insuring a posi-traction-type drive.
I would use a hub-motor in the front wheel for the electric drive.

I would suspend the rear wheels and load the front wheel lightly enough so it didn’t need suspension, say 25% of the vehicle weight.

I would divide the body into two parts. The front cowl would completely enclose the front wheel and cover the rider up over the legs. This cowl would move with the crank and front wheel when adjusting the seat-to-bottom-bracket distance. The rear portion of the body would cover the riders head and the rest of the body. The rear portion would rotate upward about a pivot in the back of the vehicle to allow the rider to enter and exit.

I call the vehicle below the Avacar because it has a similar rider layout to the Avatar recumbent. The rider’s head height with helmet is 48”. The wheelbase is 53” and the vehicle track is 26”.

To this point I haven’t discussed turn-induced rollover issues with my redesigned C5. One advantage of making the Sinclair X1 a bicycle is that it has dynamic stability and can lean into the turns.
Let us assume that the original C5 had no rollover issues. I have made two changes that will reduce its rollover resistance, (ROR). I have raised the c.g. of the vehicle and I have increased its top speed. The 4” increase in seat height reduces the ROR by about 10%, assuming a c.g. height of about 17” for the original C5. The 5mph increase in speed reduces the ROR by about 44%. Together I have reduced the ROR by about 50%
The track of the old C5 was about 27”. To maintain the ROR of the original, the track would have to increase to 40.5” and the width to almost 43”. The width of the redesign is no better than the ELF or the Velocar.

That brings me to the question,” Should the AWEB be a leaning tricycle?” There is an all-weather E-bike on the market, the Drymer. It utilizes the tadpole layout.

Now I have discussed the design of leaning trikes ad nauseam. However, I have two new observations about the design of leaners when they have bodies that prevent riders from easily putting their feet on the ground to support the vehicle.

The first observation is related to the lean-lock mechanism that prevents leaning at very low speeds and when entering and exiting the vehicle. The default state for the lean-lock should be engaged and the rider should actively disengage it. For electric vehicles, engagement could occur when power is shut off or when vehicle speed falls below a predetermined low level. Engagement must be quick and positive, where the engagement force is not provided by the rider but inherent in the mechanism. The rider merely overcomes the engagement. This approach insures that there is always enough engagement force for complete prevention of leaning. Engagement mechanisms that are position dependent as opposed to force dependent are preferred.

The second observation is that, under no circumstances, should the vehicle be allowed to lean far enough to tip over statically. Now, an observant reader might point out that under these circumstances, the dynamic ROR is only slightly better than the static ROR. But that is not true if the lean-lock is engaged when the vehicle is completely leaned over. (The vehicle is leaned into the turn and locked in that position.) With the leaning locked in that position, the acceleration is acting against the full track of the vehicle instead of just one-half the track as in the static case.

Now I decided I wanted my design to be able to resist one gee acceleration when locked fully leaned over at the same time it was at its static tipping limit. It turns out the lean angle for this condition is 24.5deg. For a given c.g. height the vehicle track at the c.g. location is .829 times the c.g. height. The actual track is the c.g. track divided by the % of the weight on the rear wheels.

For example, if my CG height is 20.5”, the c.g. track is 17”. If 71% of the weight is on the rear wheels, the actual track would be 24”.

The Avacar drawing above is based on these numbers with 2” added to the track for a little safety margin. The vehicle width is 4” wider than this or 30”.



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