An aerospace engineer is selecting a tension tie-rod to support a sensor platform. Four candidate rods, W, X, Y, and Z, made of different alloys with different dimensions, are being evaluated under the same design tension.
Which rod will undergo the smallest extension when the same tensile force is applied to each?
| Rod | Cross-sectional area | Length | Young modulus of material |
|---|---|---|---|
| W | 2A2A2A | 3L3L3L | 0.5E0.5E0.5E |
| X | 0.5A0.5A0.5A | 2L2L2L | 2E2E2E |
| Y | 1.5A1.5A1.5A | LLL | 4E4E4E |
| Z | 3A3A3A | 4L4L4L | 0.5E0.5E0.5E |