Originally Posted by SirMike1983

Those rims are too small for that bike. You need to get a bigger rim.

What model bike do you have? If you know the model of bike, you can look up what wheels it originally came with.

A standard 26 inch mountain bike rim seats 559mm.
A Schwinn middleweight is 571mm.
A regular British 3-speedis 590mm.
Sportier British bikes and the Schwinn 3-speeds are 597mm.
Very old (1940s and earlier) US-made "lightweight" bikes are 599mm.
A common 700c wheel is 622mm.
The 27 x 1 1/4 road wheel is 630mm.

If the rim you're using varies more than a few mm from what the bike is set up for, you may run into issues getting the rim to line up with the brake caliper arms. That's the problem with your 559mm rim - it's small than the rim the bike would have had originally.

You need to get a correct set of wheels for that bike. The wheels will be larger than that 559mm you have now. From the look of it, that will have to be substantially larger.