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Mechanical Properties
· Substituting the values for σ, ε, and m, into Hooke's law and collecting (material) and {design} parameters gives: [F/m] = (E/ρ ){δL/L2}
· The lightest strut for a given deformation will have the largest value of (E/ρ) and materials can be selected for a task using this criterion.
· Although alloying does not alter Young's modulus, it does change the yield stress, as shown opposite.
· Alloys may extend the useful elastic range, however, alloying may also reduce the ductile range of material response and reduce safety margins.
· Material selection based on tensile loading and the yield stress criterion identifies the lightest structure by maximizing (σy/ρ).
 
From: Hibbler, "Mechanics of Materials," MacMillan (1994)