Consider a plate formed by a non-homogeneous material with Young's modulus E(z) = Eo-zE1, with Eo, E1 > 0 and Poisson's ratio v. The plate has total thickness h, the reference plane is located at the center of the plate, and N, and N, are applied at z = 0. Find the stiffness matrix of the plate.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.8.8P: An elastomeric bearing pad consisting of two steel plates bonded to a chloroprene elastomer (an...
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Problem 1
Consider a plate formed by a non-homogeneous material with Young's modulus
E(z) = Eo-zE, with Eo, E1 > 0 and Poisson's ratio v. The plate has total thickness h,
the reference plane is located at the center of the plate, and N and Ny are applied at
z = 0. Find the stiffness matrix of the plate.
Transcribed Image Text:Problem 1 Consider a plate formed by a non-homogeneous material with Young's modulus E(z) = Eo-zE, with Eo, E1 > 0 and Poisson's ratio v. The plate has total thickness h, the reference plane is located at the center of the plate, and N and Ny are applied at z = 0. Find the stiffness matrix of the plate.
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