OK, so by building our network first we didn't build it as well as we could have done, problem is we are stuck with it so have to build trains that fit within our network that can cope with the number of passengers that our network carries, which is now more than it carried when there were many many more miles of track.
It may well be that to regrade the tight bends to allow 26m long coaches may be cheaper than it is to lengthen all the stations along the route (which may include rebuilding bridges, redesigning junctions, replacing signals, etc.). As by being 26m long coaches a train can fit in more seats per train of a similar length by have less doors [18 on one side on a 9x26m coach train rather than 20 on a 10x23m coach train], toilets, walkways between cariages, etc. Likewise a train made up of 23m long coaches has more seats than a train of the same length made up of 20m long coaches. Therefore to have the same number of seats a train of 20m long coaches has to be longer than a train that has 23m long coaches which too is longer than a train made up of coaches of 26m long with the same number of seats.
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Cramming seats in is to do with the fact that there are a lot of people that want to travel by train, see my comments above about number of seats per train of the same length with different coach lengths.
With regards to the costs of the IEP it depends on how you count what is required for IEP, as a lot of projects that are needed for it will be carried out anyway (e.g. do you count the electrification of the GWML or what about the new singalling to allow the IEP's to run at 140mph?). For example the document you linked to lists the W12 gauge clearance of the GWML sepratly, a lot of this work would be required for IEP. Also given that the dimensions of IEP are known the W12 clearance for GWML may include minor extra costs to enable the IEP's to run (i.e. if the track has to be realigned then the costs would almost be the same if the track is moved across be a distance within set ranges).
The document also (on page 12) lists the CP5 costs of IEP as £258million (about 6%), meaning that unless the remining £850 million plus has to be spent in the few years between the start of CP6 and the start of running of the IEP's the figure of 25% is a little off.
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Once I make a point about the issue you raised (i.e. width of the trains) you shift your argument to the total amount of space in a train (but mostly length).
I'd love to have trains where it costs so little to run that it's paid for soley by our taxes but with 1+1 seats with their own table with loads of space, but it's never going to happen because to have seating that sparcly spaced would mean massive costs per seat, whilst low train fairs would mean massive demand for seats and therefore crampt seating.
A lot of your arguments are based on what would be nice to have, rather than what is likely to happen in the real world.
You have actually made the case for articulation rather than longer vehicles, but let that pass. Also see my point about another reason altogether FOR clearing the system to accept longer vehicles, which nobody mentioned.
I will come back to my original point. Given that 2+2 seating is regarded as usual for standard class, and given the basic facts of geometry, vehicles should be as wide as possible especially as people are getting wider. But when it comes to costs, it all depends on how it is decided to spend the money.
The rest is digression from this original point. Speed costs. Typically, they rise proportionately to the square of the speed. Thus 140 mph running costs double 100 mph running. In the bad old days of steam, heavy trains of coal and other bulk commodities were pulled by small steam locomotives - about 1000 hp. These trains were loose-coupled and the idea was that the train would be got on the move gradually and then kept rolling at about 20 mph. The wagons had an axle load of between five and ten tons. This was fuel-efficient and easy on the track. Now we have diesels with three times the power, pulling wagons with a 20 ton axleload at speeds of up to 70 mph. There are reasons for it but it is not easy on the track nor energy-efficient.
On the passenger side, there is an analogous situation. At the very end of the steam era, London to Glasgow took around seven hours. There were three trains a day plus the night sleepers. The day trains were typically 15 mark 1 vehicles except in the summer when they ran to 17 - that left the locomotive off the end of the platforms at Euston and Glasgow Central. The summer timetable also included additional relief trains, usually made up of elderly stock. The trains were, as mentioned, spacious and comfortable, there were restaurant cars serving full cooked meals and the return fare was the best part of a working man's wages for a week.
Make of that what you will, but what we have now is the journey time cut down to little more than half, cramped trains, very expensive standard fares and lots of cheap offers for those able and willing to commit themselves to travelling well before they make their journey. Given the choice of different compromises, one has to wonder if this is what was really wanted or whether it is a state of affairs that was just drifted into?
As regards speed, there are break points. At speeds of below 50 mph, tramway type operations are possible. Above 100 mph, the EU regulations for high speed railways have to be complied with. Energy consumption goes up exponentially, as do other costs of equipping and operating the railway, and of building it, if it is a new line. I am not sure whether these decisions are made through careful evaluation or because it is just assumed that faster is better. The airlines at least had to settle for subsonic flight for the past 40 years because the sound barrier is a much more significant cost barrier.
A further question in relation to speeds is whether higher speeds are worth while. When the HST was introduced, there was through running to from Paddington to Bath. Nowadays, trains typically stop several times, which means that there is less 125 mph running now than in the early 1980s. Due to development all along the route the GW main line is now more similar to the South Western main line and would probably do perfectly well with a fleet of similar trains on those stretches that are due to be electrified.
There would then still remain the question of the HST vehicles which have another 25 years of useful life in them. Given the existence of this asset, perhaps the most cost-effective solution would have been to use them as intermediate cars in push-pull mode. It might even have been possible to re-engineer the HST power cars into electric locomotives and/or control trailers. In his report on the IEP, Foster argued that alternatives should be looked at but seemingly there was not sufficient interest. It can not be assumed that consultants or manufacturers will come up with the most cost-effective solutions as they are themselves interested parties who have nothing to gain from cost-saving.
So when you say that seating density is matter of cost - you are right, but it depends on who is setting the priorities for spending, and what those priorities are. Comfort has clearly dropped well down the list in the UK, and whilst people grumble, they tolerate. On mainland Europe, complaints about matters like this are liable to be more vocal.
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I'd have thought it fairly obvious that Network Rail (and Railtrack/ British Rail) had little need to worry about obtaining route clearance for 165/166s on routes that they were never going to be used on.
I'm sure Pacers haven't been cleared on all Network South East lines but it doesn't mean they couldn't run on them
IIRC a 165 former a Shrewsbury - London service a couple of years ago without any bother.
So you'd rather that the HST replacement was 8x20m EMUs (with some/many coaches non-accesible) than 10x26m EMUs?
There is a map which shows where 165/166 can run. The research has been done.
The HST does not need replacement. The trailer cars are good for 25 years. This was reported to a meeting of IMechE. They can be made up into unit trains with an electric loco, which might be a re-engineered power car, with four or five trailers for running in push-pull mode, or into EMUs, similar to class 442 or whatever. A few additional vehicles may need to be built to satisfy accessibility requirements. I would not have money spent on route clearance for longer vehicles, unless it is part of a well thought-out plan to run double-deck trains. For new build I would aim to optimise vehicle length at a width of 2.8 metres.