How is Young’s modulus formulated as a ratio of mechanical properties___________________?
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Answer: C. longitudinal stress and longitudinal strain
Explanation
Young modulus quantifies the resistance of a material to longitudinal elastic deformation under load. It is mathematically formulated as the direct ratio of longitudinal stress to corresponding longitudinal strain. This fundamental ratio applies to both tensile and compressive axial loading conditions within elastic limits. Longitudinal stress is calculated as the applied axial force divided by the original cross-sectional area. Longitudinal strain is defined as the change in length divided by the initial unstressed length. Isotropic materials have elastic properties that are uniform in all spatial orientations.
Mechanical design calculations for structural columns rely on accurate longitudinal elasticity ratios. Testing machines record axial force and elongation data to compute the Young modulus of metals. Understanding longitudinal properties helps prevent structural failure in bridges and aircraft frames. Option A defines the bulk modulus, which relates volumetric stress to volumetric strain. Option B incorrectly pairs lateral stress with lateral strain instead of using longitudinal values. Option D defines the shear modulus, which evaluates angular distortion under transverse shear forces.
- Subject
- Engineering
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- Mechanical Engineering
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- —
- Difficulty
- medium
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