Not just the extra chassis bracing, but nearly all convertibles are heavier, because the framing in the tops is very heavy. and if you have an electric top, (which a 318 generally doesn't) its even heavier yet with two motors to run it. However you can put the top down and lower the center of gravity a bit.
I believe the "i" is heavier than the "is" because its a 4 door and the extra door jamb, window motors etc add a little bit of weight.