Unexpected results when trying to amplify voltage across a wheatstone bridge
I'm not sure why you expect 1V out, with a 10 mV input and a gain of 10. Personally, I would expect something closer to 100 mV, but in any case, 1.5 V is obviously wrong.

The LM324 should be capable of driving the output to 0V. However, what it can't do is drive the output negative. Are you sure your bridge is unbalanced in the direction that will drive the output positive &mdash; left side higher than right side?

Some opamps have the property that they invert the output when the input stage is driven too hard into saturation. I don't recall offhand if the LM324 has this problem, but it could explain what you're seeing.