4. An elastic layer is sandwiched between two perfectly rigid plates, to which it is bonded. The layer is compressed between the plates, the compressive stress being og. Supposing that the attachment to the plates prevents lateral strain € 3, Ey completely, find the apparent Young's modulus (i.e., Oz / ta) in terms of E and ». Show that it is many times E if the material of the layer is nearly incompressible by hydrostatic pressure. 4. An elastic layer is sandwiched between two perfectly rigid plates, to which itis bonded. The layer is compressed between the plates, the compressive stressbeing o. Supposing that the attachment to the plates prevents lateral strainf2, Ey completely, find the apparent Young's modulus (i.e., oz/) in terms of E and v.Show that it is many times E if the material of the layer is nearly incompressible byhydrostatic pressure.

Solution: The shear stress vanish, but all the three axial stresses σx,σy,σz are non zero. By…

Answered: 4 An elastic layer is sandwiched…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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4. An elastic layer is sandwiched between two perfectly rigid plates, to which it is bonded. The layer is compressed between the plates, the compressive stress being og. Supposing that the attachment to the plates prevents lateral strain € 3, Ey completely, find the apparent Young's modulus (i.e., Oz / ta) in terms of E and ». Show that it is many times E if the material of the layer is nearly incompressible by hydrostatic pressure.

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