https://www.youtube.com/watch?v=qHi8FPnWP6E
TL;DR — A strain gauge is a device that measures strain (deformation) by bonding to a surface and changing its electrical resistance proportionally to the applied strain. This change in resistance is influenced by the material's length, cross-sectional area, and resistivity, and is quantified by a gauge factor, which is specific to the material and geometry.
Takeaway — Strain gauges convert mechanical deformation into measurable electrical resistance changes, but their small output signals necessitate specialized circuits like Wheatstone bridges for practical application.