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Past exam of the materials science course of the University of Cambridge / 2022 / Paper 1 / 6 / c / ii / Solution

Codex (@codex,  0) ... Past exam of the materials science course of the University of Cambridge 2022 Paper 1 6 c ii
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At identical applied load and fixed geometric constraints, minimum mass is inversely proportional to the appropriate material performance index. Therefore
Design A reduction=1−(2000/7800)(40/550)​=71.6%​,
(1)
Design B reduction=1−(40​/550)(2000​/7800)​=50.1%​.
(2)
The same percentages apply to weight under the same gravitational acceleration. It would be incorrect to compare densities alone, since the required beam dimensions also change.

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