Young`s Modulus & Poisson`s Ratio
SOM-TC-54
A circular bar with diameter $d = 55$ mm is subjected to an axial tensile force $P = 50$ kN.
Material: Steel, Young's modulus $E = 200$ GPa, Poisson's ratio $\nu = 0.3$.
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About this task
This task focuses on the deformation of a circular bar subjected to axial tension. Students calculate the normal stress from the applied force and cross-sectional area, determine the longitudinal strain using Young’s modulus, and evaluate the lateral strain with Poisson’s ratio. The final step is to find the absolute change in the bar diameter. The exercise reinforces Hooke’s law, axial stress and strain relationships, unit conversion, and the physical meaning of Poisson’s ratio for steel, aluminium, and copper. It is suitable for introductory strength of materials and mechanics of materials courses.