I did not see anyone mention it in this form, but you have two options for making the cut:
1) the wood stays still and the tool moves over the wood (e.g. router with guide fence)
2) the tool stays still and the wood moves over the tool (e.g. router table)
To perform the first operation, you need just over five linear metres of space.
In the second, you would need some good infeed and outfeed tables or rollers. You also need ten linear metres of space to do the work.
For a bought-in product, search 'timber i beam'
https://www.jtatkinson.co.uk/i-beams-i-joistshttps://www.thomasarmstrongtimber.co.uk/engineered-timber-products/floors
A one-pass solution would be a challenge. Finding an 11mm diameter router bit would be difficult as it is an odd size. You'd also have to confirm that the groove made by that bit fitted the wood that is to be inserted. Hence, the two pass method suggested above would circumvent that difficulty as it allows you to tune everything to the specific timber you are using.
1) the wood stays still and the tool moves over the wood (e.g. router with guide fence)
2) the tool stays still and the wood moves over the tool (e.g. router table)
To perform the first operation, you need just over five linear metres of space.
In the second, you would need some good infeed and outfeed tables or rollers. You also need ten linear metres of space to do the work.
For a bought-in product, search 'timber i beam'
https://www.jtatkinson.co.uk/i-beams-i-joistshttps://www.thomasarmstrongtimber.co.uk/engineered-timber-products/floors
A one-pass solution would be a challenge. Finding an 11mm diameter router bit would be difficult as it is an odd size. You'd also have to confirm that the groove made by that bit fitted the wood that is to be inserted. Hence, the two pass method suggested above would circumvent that difficulty as it allows you to tune everything to the specific timber you are using.