Assume elastic deformation and that hookes law holds derive


A cylindrical plug of a gummite* is placed in a cylindrical hole in a rigid block of stif?te.* Then the plug is compressed axially (parallel to the axis of the hole). Assume that the plug exactly ?ts the hole and that the stif?te does not deform at all. Assume elastic deformation and that Hooke's law holds. Derive an expression for the ratio of the axial strain to the axial stress, εa/σ a, in the gummite in terms of the Young's modulus, E, and Poisson's ratio,υ, of the gummite.

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Mechanical Engineering: Assume elastic deformation and that hookes law holds derive
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