👉 Thompson's method, also known as the Thin Plate Method or the Euler-Bernoulli Beam Theorem, is a mathematical approach used to determine the deflection and stress in beams under load. It simplifies the complex behavior of beams by assuming small deflections and linear material properties, allowing for the derivation of a fourth-order differential equation that relates the bending moment to the deflection of the beam. This method is particularly useful for analyzing beams under various loading conditions, such as uniform or point loads, and it provides a systematic way to calculate critical points like maximum deflection and maximum bending stress, essential for structural design and engineering analysis.
