Fasten what remains of the stripwood to the edge-spars on either side of the deck; where these parts stand proud, run a filet of adhesive around the abutment.
The timber will have a natural tendency to bend one way or another and you should work with that: the English long-bow was crafted in ideal sections of yew, sustained draw weights of 180lb and could penetrate armour at 250 yards.
Fortunately tho' our work here is more 'IKEA bargain-bin' than 'Battle of Agincourt'.
