I have a two-dimension sensor use to find the strain in concrete plate while the truck runs in x-direction, it run over the entire length of longitudinal sensor. In this case what the effect of this load on transverse sensor.
It depends on the sensing principal, e.g. if you have a stain gage with parallel lines in one direction than you have to position it under an angle (e.g.45 degree) and then you could detect changes in both directions!
If this does not help you than send more details for a more dedicated answer!
One way to answer this would be to analyze the stress distribution under the load. If you are using a load sensing instrument, the stress at the point of measurement will tell you the influence. You could make a quick estimate using an elasticity based method and, then, depending on the results perhaps refine your answer with more detailed analysis of layered elasticity methods or FEM. Your question is quite vague about the type of sensor and orientation and these details will be necessary for the analysis. For instance, is the sensor designed to yield vertical loads in the longitudinal or transverse directions. The orientations provided seem to be related to the direction of travel more than the orientation of the stress element targeted by the sensor.