Basic definitions — identify the modulus: The ratio of linear (normal) stress to linear strain is called what?

Introduction:Material constants relate stress to strain under specific modes of deformation. This question asks for the name of the constant connecting normal stress to normal strain in uniaxial loading.Given Data / Assumptions:

• Small strains; linear elastic behavior.
• Uniaxial (normal) stress and corresponding normal strain.

Concept / Approach:Hooke’s law for normal loading: σ = E*ε, where E is Young’s (modulus of elasticity). Different moduli exist for shear (G) and volumetric change (K).Step-by-Step Solution:

Verification / Alternative check:Dimensional reasoning: [stress]/[strain] reduces to pressure units, as does E.Why Other Options Are Wrong:

• Modulus of rigidity: relates shear stress to shear strain (G = τ/γ).
• Bulk modulus: relates hydrostatic pressure to volumetric strain (K = p/ε_v).
• Poisson’s ratio: relates lateral to longitudinal strain, dimensionless.
• Shear compliance: not the requested linear modulus.

Common Pitfalls:Confusing E with G or K; mixing up normal vs shear vs volumetric responses.Final Answer: