Essentials Of Materials Science And Engineering
Essentials Of Materials Science And Engineering
4th Edition
ISBN: 9781337670845
Author: ASKELAND
Publisher: Cengage
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Chapter 7, Problem 7.46P
Interpretation Introduction

Interpretation:

The possible reasons for an early failure of a toy left submerged in water for many days needs to be explained.

Concept introduction:

Swimming water, though hygienic is not chemically inert. They contain dissolved and suspended materials, some of which may act on the toy material causing a local deterioration.

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An elastic bar of the length L and cross section area A is rigidly attached to the ceiling of a room, and it supports a mass M. Due to the acceleration of gravity g the rod deforms vertically. The deformation of the rod is measured by the vertical displacement u(x) governed by the following equations: dx (σ(x)) + b(x) = 0 PDE σ(x) = Edx du Hooke's law (1) b(x) = gp= body force per unit volume where E is the constant Young's modulus, p is the density, and σ(x) the axial stress in the rod. g * I u(x) L 2
An elastic bar of the length L and cross section area A is rigidly attached to the ceiling of a room, and it supports a mass M. Due to the acceleration of gravity g the rod deforms vertically. The deformation of the rod is measured by the vertical displacement u(x) governed by the following equations: dx (σ(x)) + b(x) = 0 PDE σ(x) = Edx du Hooke's law (1) b(x) = gp= body force per unit volume where E is the constant Young's modulus, p is the density, and σ(x) the axial stress in the rod. g * I u(x) L 2
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