Essentials of Materials Science and Engineering, SI Edition
Essentials of Materials Science and Engineering, SI Edition
4th Edition
ISBN: 9781337672078
Author: ASKELAND, Donald R., WRIGHT, Wendelin J.
Publisher: Cengage Learning
Question
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Chapter 14, Problem 14.1P
Interpretation Introduction

Interpretation:

The cost of material per unit volume is more important in some cases than the cost per unit weight. The cost needs to be determined in terms of $/cm3. Whether this affects the relationship between the different materials or not needs to be explained.

Concept Introduction:

Specific strength can be calculated as follows:

  Specific strength = strength   Mass density  

It relates the specific strengths of steel, few high strength non-ferrous alloys, and polymer- matrix composites. Additional factor to study in designing with non-ferrous material is their rate, which also differs significantly.

Expert Solution & Answer
Check Mark

Explanation of Solution

Table no.1

MetalDensity(g/ cm3)Cost per kg($/kg)Rank
Steels 7.870.221
Zinc7.130.882
Lead11.360.993
Aluminium2.701.324
Copper 8.931.575
Magnesium 1.743.316
Titanium 4.518.827
Tungsten19.258.828
Nickel 8.909.049
Beryllium1.85777.6010

The cost of a material per unit volume can be converted from ($/kg) to ($/g) by dividing the cost of material by 1000, and multiplying the converted cost value with density.

Table no. 2

Metal DensityCost per kg Cost per gram Cost per volume Rank
Steel7.870.220.22 ×1030.00171
Aluminium2.701.321.32 ×1030.00362
Magnesium1.743.313.31 ×1030.00573
Zinc 7.130.880.88 ×1030.00634
Lead 11.360.990.99 ×1030.00135
Copper 8.931.571.57 ×1030.01406
Titanium4.518.828.82 ×1030.03977
Nickel 8.909.049.04 ×1030.08048
Tungsten19.258.828.82 ×1030.16969
Beryllium1.85771.60771.60 ×1031.424710

From the above two tables, the different materials are related to each other in terms of cost per kilogram and cost per volume.

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