Computer · Strength of Materials
For a material, the modulus of elasticity at any point can be denoted along three orthogonal directions by Ex, Ey, and Ez. Which of the following statements correctly defines the property of a homogeneous material?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The elastic properties along any chosen direction are identical at all points throughout the material (e.g., Ex at point 1 equals Ex at point 2)✓
- 2Ex ≠ Ey ≠ Ez at a given point, but Ex = Ey = Ez at all other points
- 3Ex = Ey ≠ Ez at a given point, and Ex = Ey = Ez at all other points
- 4Ex = Ey = Ez at a given point, but their values vary at other points throughout the material
Correct answer
The elastic properties along any chosen direction are identical at all points throughout the material (e.g., Ex at point 1 equals Ex at point 2)
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