The bridge voltage is the voltage measured across the output of the bridge.
If you take a typical bridge drawing, the excitation voltage is applied to the top and bottom pins,
the bridge output voltage is measured at the left and right pins.
For this to work, I expect you will have to wire one of the input channels of the AI-110 to the excitation voltage
and another channel to the bridge output. In theory you don't have to actually measure the excitation voltage if
your source is known and very stable, but I expect you will get better results if you do measure it with the AI-110.
There is a good drawing of what you need to do on page 5 of the SG-140 manual, http://www.ni.com/pdf/manuals/323346a.pdf
Vin+ and Vin- represent the bridge voltage. Just substitute two channels of the AI-110 (and your excitation source) for the
SG-140 block shown.
Matt