Book cover for Materials Science and Engineering: An Introduction

Materials Science and Engineering: An Introduction

William D. Callister, Jr. David G. Rethwisch

ISBN #9780471736967

7th Edition

771 Questions

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65,043 Students Helped

Homework Questions

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Summary
Learning Objectives
Key Concepts
Example Problems
Explanations
Common Mistakes

Summary

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Learning Objectives

Key Concepts

CONCEPT

DEFINITION

Ceramics Fabrication Techniques

The methods and processes used for shaping, forming, and consolidating ceramic materials into final products with desired properties.

Example Problems

Example 1

Using mechanics of materials principles (i.e., equations of mechanical equilibrium applied to a free-body diagram), derive Equations $6.4 a$ and $6.4 b$.

Example 2

(a) Equations $6.4 \mathrm{a}$ and $6.4 \mathrm{b}$ are expressions for normal $\left(\sigma^{\prime}\right)$ and shear $\left(\tau^{\prime}\right)$ stresses, respectively, as a function of the applied tensile stress $(\sigma)$ and the inclination angle of the plane on which these stresses are taken $(\theta \text { of Figure } 6.4) .$ Make a plot on which is presented the orientation parameters of these expressions (i.e., $\left.\cos ^{2} \theta \text { and } \sin \theta \cos \theta\right)$ versus $\theta$. (b) From this plot, at what angle of inclination is the normal stress a maximum? (c) Also, at what inclination angle is the shear stress a maximum?

Example 3

A specimen of copper having a rectangular cross section $15.2 \mathrm{mm} \times 19.1 \mathrm{mm}(0.60 \mathrm{in.} \times$ $0.75 \text { in. })$ is pulled in tension with $44,500 \mathrm{N}$ $\left(10,000 \mathrm{lb}_{\mathrm{f}}\right)$ force, producing only elastic deformation. Calculate the resulting strain.

Example 4

A cylindrical specimen of a nickel alloy having an elastic modulus of $207 \mathrm{GPa}\left(30 \times 10^{6}\right.$ psi) and an original diameter of $10.2 \mathrm{mm}$ $(0.40 \text { in. })$ will experience only elastic deformation when a tensile load of $8900 \mathrm{N}\left(2000 \mathrm{lb}_{\mathrm{f}}\right)$ is applied. Compute the maximum length of the specimen before deformation if the maximum allowable elongation is $0.25 \mathrm{mm}$ $(0.010 \text { in. })$.

Example 5

An aluminum bar $125 \mathrm{mm}(5.0$ in.) long and having a square cross section $16.5 \mathrm{mm}(0.65 \text { in. })$ on an edge is pulled in tension with a load of $66,700 \mathrm{N}\left(15,000 \mathrm{lb}_{\mathrm{f}}\right),$ and experiences an elongation of $0.43 \mathrm{mm}\left(1.7 \times 10^{-2} \text {in. }\right) .$ Assuming that the deformation is entirely elastic, calculate the modulus of elasticity of the aluminum.

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