Difficulty: Easy
Correct Answer: Linear strain
Explanation:
Introduction / Context:
Clear definitions of strain components are foundational in strength of materials and elasticity. Linear (axial) strain quantifies elongation or shortening along the load direction.
Given Data / Assumptions:
Concept / Approach:
Linear strain ε_longitudinal = ΔL / L. Lateral strain is the contraction/expansion perpendicular to load. Volumetric strain is the sum of principal strains (approx. ΔV/V). Shear strain is the change in right angle (distortion) measured as an angle in radians.
Step-by-Step Clarification:
Identify the direction: along applied force → longitudinal.Apply definition: ε = change in length / original length.Hence it is linear (longitudinal) strain.
Verification / Alternative check:
Consistency with Hooke’s law: σ = E * ε_longitudinal in uniaxial tension/compression.
Why Other Options Are Wrong:
Lateral strain is transverse; volumetric includes all directions; shear strain is angular distortion; “Poisson strain” is not a standard term for the primary definition.
Common Pitfalls:
Mixing up lateral and linear strain, especially when discussing Poisson’s ratio.
Final Answer:
Linear strain
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