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Engineering · Mechanical Engineering
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4. (15 pts) Derive the strength-to-mass performance index on a square cross-sectional bar that is subjected to a bending stress. Which of the metal alloys (shown in the map below) would you select for the performance indices greater than 10.0 (for yand ρ in units of MPa and g/cm respectively), and in addition, bending strengths greater than 600 MPa? Clearly indicate your selection on the map. Assume bending strength in this analysis is equivalent to yield strength 2. STRENGTH-DENSITYEEN METAL AND POLYMERS YIELD STRENGT CERAMICS AND GLASSES: COMPRESSIVE STRENGTH ELASTOMERS: TENSILE TEAR STRENGTH COMPOSITES:TENSILE FAILURE NGINEERIN CERMET 1000 RIN WALLOY CP侖 ALLOY M ALLOYS AMNAT CAST IALLOY AI ALLOY TONE I 2 100 ALLOY NEERIN LEAD ALLOY ESTERSM BALSA RAMI BALS ASTOMERS GUIDE LINES FOR MINIMUM WEIGHT DESIGN 0. 0.3 10 30 DENSITY ρ (Mg/m3) (Source: http:llwww.lehigh.edul-intribos/Resources/chart2.jpg)

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