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
Concept Introduction:
Specific strength can be calculated as follows:
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.
Explanation of Solution
Table no.1
Metal | Density(g/ | Cost per kg($/kg) | Rank |
Steels | 7.87 | 0.22 | 1 |
Zinc | 7.13 | 0.88 | 2 |
Lead | 11.36 | 0.99 | 3 |
Aluminium | 2.70 | 1.32 | 4 |
Copper | 8.93 | 1.57 | 5 |
Magnesium | 1.74 | 3.31 | 6 |
Titanium | 4.51 | 8.82 | 7 |
Tungsten | 19.25 | 8.82 | 8 |
Nickel | 8.90 | 9.04 | 9 |
Beryllium | 1.85 | 777.60 | 10 |
The cost of a material per unit volume can be converted from ($/kg) to ($/g) by dividing the cost of material by 1000, and multiplying the converted cost value with density.
Table no. 2
Metal | Density | Cost per kg | Cost per gram | Cost per volume | Rank |
Steel | 7.87 | 0.22 | 0.22 | 0.0017 | 1 |
Aluminium | 2.70 | 1.32 | 1.32 | 0.0036 | 2 |
Magnesium | 1.74 | 3.31 | 3.31 | 0.0057 | 3 |
Zinc | 7.13 | 0.88 | 0.88 | 0.0063 | 4 |
Lead | 11.36 | 0.99 | 0.99 | 0.0013 | 5 |
Copper | 8.93 | 1.57 | 1.57 | 0.0140 | 6 |
Titanium | 4.51 | 8.82 | 8.82 | 0.0397 | 7 |
Nickel | 8.90 | 9.04 | 9.04 | 0.0804 | 8 |
Tungsten | 19.25 | 8.82 | 8.82 | 0.1696 | 9 |
Beryllium | 1.85 | 771.60 | 771.60 | 1.4247 | 10 |
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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Chapter 14 Solutions
Essentials Of Materials Science And Engineering
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