Given: a cylindrical specimen of a metal alloy. Diameter $=25mm,$ Length $=500mm,F_{aa}=-150kN($i$.$e$.,$ compression$),E=150$GPa,$v=0\mathrm{.}40,{}_{\text{y}\text{i}\text{e}\text{l}\text{d}}=400$MPa

Determine $($while load is applied$)$:

a$)$ change in length

b$)$ change in diameter

Given: square bar loaded in axial tension. $F=120,000N,L=200mm,t=20mm$ Design criteria: a$)$ no plastic deformation, b c$)t<mn\; id="EditorElement\_3569962">0</mn><mn\; id="EditorElement\_3569963">.</mn><mn\; id="EditorElement\_3569964">0</mn><mn\; id="EditorElement\_3569965">5</mn><mn\; id="EditorElement\_3569966">0</mn><mi\; id="EditorElement\_3569968">m</mi><mi\; id="EditorElement\_3569970">m</mi><mi\; id="EditorElement\_3569972">|</mi><mi\; id="EditorElement\_3569787">|</mi>$ Which materials are possible candidates? Must satisfy all criteria.

Material

Aluminum alloy Titanium alloy Steel alloy Magnesium alloy

E$($GPa$)$

$70$

$105$

$205$

$45$

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