Materials engineering help required please

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SUMMARY

The discussion centers on optimizing a tie rod's performance index for maximum strength and minimum mass using the formulas τ= 2T/πr³ for strength and P=t^(2/3)/p for mass. Key factors influencing the performance index include the safety factor, which relates to stress and dimensions, and the objective of minimizing cost, which can be achieved by reducing material usage through thinner load-bearing sections. Participants seek clarity on how these factors interact and affect the overall design.

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A tie rod of max strength and minimum mass performance index

Max strength - τ= 2T/πr³

Min mass- P=t^(2/3)/p

I have been asked to explain how the performance index is affected by

(i) safety factor
(ii) changing the objective to minimum cost

Any help would be greatly appreciated

Thanks
 
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Safety factor on what? Stress? A key dimension?

How does one define stress, and how does it relate to the dimensions.

Then think what one does to minimize stress.


To minimize cost, one minimizes material usage, e.g., with thinner load bearing sections.
 

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