Well that's dull but good work actually proving the pipe (or disproving it if you see what I mean).
So yes back to the drawing board. I think you'd end up with something the size of radiator hose if you wanted a flexible pipe and it would be a poor (and expensive) solution- better to bite the bullet and either replace that pipe section from old loo to manhole OR put your new pipe in (I'd still go for pipe outside, roddable elbow into the ground and internal air admittance valve rather than vertical drop through the concrete myself- yes it looks a bit less tidy but much easier to do-no worries digging under the non-existent foundations of your coal-hole, loo will be able to fit nearer the wall.
For your washing machine and butler sink I'd put a tee in the pipe (where it drops outside the wall) then run a short bit of 110mm underground to a roddable gulley outside the coalhole. This will tick all the boxes for maintenance requirements for building control- though check the run from washing machine to gulley, if more then 3 metres it'll have to be 50mm (and your coalhole looks very similar in size to mine which is why I'd put the gulley outside the coalhole- run length from butler sink will be nowhere near 3m).
Then final job is either to remove the old (cracked) pipe from the old loo completely OR fill it full of concrete. You may find your new pipe will be running roughly where the old one is (under the coalhole doorway) so that's half the job done.
So yes back to the drawing board. I think you'd end up with something the size of radiator hose if you wanted a flexible pipe and it would be a poor (and expensive) solution- better to bite the bullet and either replace that pipe section from old loo to manhole OR put your new pipe in (I'd still go for pipe outside, roddable elbow into the ground and internal air admittance valve rather than vertical drop through the concrete myself- yes it looks a bit less tidy but much easier to do-no worries digging under the non-existent foundations of your coal-hole, loo will be able to fit nearer the wall.
For your washing machine and butler sink I'd put a tee in the pipe (where it drops outside the wall) then run a short bit of 110mm underground to a roddable gulley outside the coalhole. This will tick all the boxes for maintenance requirements for building control- though check the run from washing machine to gulley, if more then 3 metres it'll have to be 50mm (and your coalhole looks very similar in size to mine which is why I'd put the gulley outside the coalhole- run length from butler sink will be nowhere near 3m).
Then final job is either to remove the old (cracked) pipe from the old loo completely OR fill it full of concrete. You may find your new pipe will be running roughly where the old one is (under the coalhole doorway) so that's half the job done.
