Consider a rod tr mitting a tensile force. The following materials are being considered: tungsten

carbide, high-carbon heat-treated steel, polycarbonate polymer, aluminum alloy. Using the

Ashby charts, recommend one or two of the materials for a design situation in which failure is by

exceeding the strength of the material, and it is desired to minimize the weight.

Question

Consider a rod tr mitting a tensile force. The following materials are being considered: tungsten

carbide, high-carbon heat-treated steel, polycarbonate polymer, aluminum alloy. Using the

Ashby charts, recommend one or two of the materials for a design situation in which failure is by

exceeding the strength of the material, and it is desired to minimize the weight.

Accepted Answer

For strength, [latex]\sigma=F / A=S \Rightarrow A=F / S[/latex]

For mass, [latex]m=A l \rho=(F / S) l \rho[/latex]

Thus, [latex]f_{3}(M)=\rho / S[/latex], and maximize [latex]S / \rho \quad(\beta=1)[/latex]

In Fig. (2-19), draw lines parallel to [latex]S / \rho[/latex]

Question 2.26: Consider a rod tr mitting a tensile force. The following mat...