Abstract: This study presents an experimental teaching plan for torsion problems in Mechanics of Materials, combining the membrane analogy method (MAM) and the electronic speckle pattern interferometry (ESPI) technique. The aim is to help students more intuitively understand the distribution of shear stresses on the cross-section of torsion shafts with a non-circular cross-section. The ESPI system is used to measure the lateral deformation of a uniformly tensioned square membrane under uniform pressure. Based on the analogy between tensioned membrane and torsion shaft, the visualization results, including stress function lines, shear stress contour lines, and shear stress vector distribution for torsion shaft with square-section, are obtained. Students are encouraged to observe and analyze experimental results to uncover the distribution regularities of shear stress on the shaft's cross-section. The practice demonstrates that using the ESPI technique combined with the MAM for visualization in teaching not only facilitates a deeper understanding of torsion issues but also enhances students' practical skills and innovative thinking.