Final answer:
The measured strain in a beam can vary across its width, with maximum tensile and compressive strains at the top and bottom edges, respectively, and zero strain at the neutral axis. However, to accurately assess the strain distribution, information on loading conditions and beam support is necessary.
Step-by-step explanation:
Yes, the measured strain can be dependent on the position across the width of a beam. When a beam is under load, strain typically varies across its cross-section. At the top and the bottom edges or surfaces of a beam (in bending), there are maximum tensile and compressive strains, respectively. The strain is zero at the neutral axis, which is typically at the mid-height of the beam's cross-section in symmetric bending. Away from the neutral axis, the strain linearly varies, finding maximum values at the extreme fibers (the top and bottom surfaces).
However, without specific information about the loading conditions and supports of the beam in question, one cannot definitively assess the distribution of strain. The distribution also depends on factors such as the shape and material properties of the beam. These variables can alter the state of stress and, consequently, the strain at different locations across the width of the beam.