Hmm. I'm going to look at this a different way that some may disagree with.
The Approved Documents state that drilling a hole more than a quarter of a joist in diameter is unacceptable. Given that the Approved Documents are only guidelines on ways to satisfy the requirements of the building regulations, then the hole size is presumably based on the joist depth being also in accordance with the Approved Documents.
In a very old house like mine, where a 10' span is covered by a 6" (152mm in French measures) joist that bounces like a trampoline, I would hesistate to even drill a quarter height diameter hole, even if the Approved Document says its usually fine: the Approved Document presumably already considers my joists to be undersized.
In the OP's house, we do not know what the OP means by the joists are non-structural, or the length of the span they cover. It may well be that they could safely be drilled as the OP suggests, but we cannot possibly say that they are based on the limited information given.
I would say, though, that if the joists can be reinforced in some way that makes up for any loss in rigidity or strength resultant from the boring, then surely it would not matter that they have large holes bored in them?
My point being made very nicely by Stafford Council:
We appreciate there may be alternative ways of complying with the requirements to those shown. You are therefore under no obligation to adopt any particular solution shown in an Approved Document if you prefer to meet the requirements in some other way. If an alternative method is used, sufficient evidence will be required to show that the alternative approach is at least equivalent to that shown in the Approved Documents.
Which isn't to say I'm saying the OP should go ahead, merely that if the OP really wants to put the pipe under the floor, there may be a way to do it safely. FWIW though, OP, joists generally are there just to support the floorboards and the plaster ceiling, so unless your span between supports is very short, you would seriously need to consider how you can make good the weakening that 45mm holes will cause.