A piece of articular cartilage, 15mm x 15mm square and 10 mm thick, is subjected to an applied...

Question:

A piece of articular cartilage, 15mm x 15mm square and 10 mm thick, is subjected to an applied vertical compressive load of 2.5 kN. Assume Young's modulus of articular cartilage is E = 6 GPa.

a) What is the initial stress developed in the cartilage at the time the load is applied?

b) How much initial axial strain does the piece of cartilage experience at the time the load is applied?

c) If cartilage has a Poisson's ratio of 0.3, then how much initial lateral strain does the piece of cartilage experience at the time the load is applied?

Poisson's Ratio.

Its symbol is the Greek letter {eq}\nu {/eq}. It is defined as the lateral strain between the axial strain, with the negative sign, since it is a positive scalar quantity. It is a measure of the compressibility of the material.

Answer and Explanation:


{eq}\text{Known data:}\\ x = z = 0.015\,m\\ y = 0.010\,m\\ E = 6\times{10^9}\,N/m^2\\ P = -2.5\times{10^3}\,N\\ \nu = 0.3\\ A = (x)(y) =...

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Poisson's Ratio: Definition & Equation

from Introduction to Engineering

Chapter 1 / Lesson 17
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