Euler–Bernoulli beam theory for slender beams with small shear effects

Target entity: Euler–Bernoulli beam theory for slender beams with small shear effects
Context triple: [Timoshenko beam theory, reducesTo, Euler–Bernoulli beam theory for slender beams with small shear effects]

• A. Timoshenko beam theory
  Timoshenko beam theory is a refined structural model that accounts for both shear deformation and rotational inertia in beams, providing more accurate predictions of their behavior than classical Euler–Bernoulli beam theory, especially for short or deep beams.
• B. “Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates”
  “Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates” is a seminal paper by Raymond D. Mindlin that introduced a refined plate theory accounting for shear deformation and rotary inertia effects in elastic plate vibrations.
• C. Koiter’s post-buckling theory
  Koiter’s post-buckling theory is a foundational nonlinear stability framework that explains and predicts the behavior of structures after they have buckled, including their load–deflection response and sensitivity to imperfections.
• D. Mindlin plate theory
  Mindlin plate theory is a refined mathematical model in structural mechanics that accounts for shear deformation and rotary inertia to more accurately describe the bending behavior of moderately thick plates.
• E. Koiter asymptotic expansion in stability analysis
  The Koiter asymptotic expansion in stability analysis is a foundational mathematical method for accurately predicting the post-buckling behavior and imperfection sensitivity of thin-walled structures under load.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Euler–Bernoulli beam theory for slender beams with small shear effects
Target entity description: Euler–Bernoulli beam theory for slender beams with small shear effects is a classical structural mechanics model that describes the bending behavior of long, slender beams by assuming plane sections remain plane and neglecting shear deformation.

• A. Timoshenko beam theory
  Timoshenko beam theory is a refined structural model that accounts for both shear deformation and rotational inertia in beams, providing more accurate predictions of their behavior than classical Euler–Bernoulli beam theory, especially for short or deep beams.
• B. “Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates”
  “Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates” is a seminal paper by Raymond D. Mindlin that introduced a refined plate theory accounting for shear deformation and rotary inertia effects in elastic plate vibrations.
• C. Koiter’s post-buckling theory
  Koiter’s post-buckling theory is a foundational nonlinear stability framework that explains and predicts the behavior of structures after they have buckled, including their load–deflection response and sensitivity to imperfections.
• D. Mindlin plate theory
  Mindlin plate theory is a refined mathematical model in structural mechanics that accounts for shear deformation and rotary inertia to more accurately describe the bending behavior of moderately thick plates.
• E. Koiter asymptotic expansion in stability analysis
  The Koiter asymptotic expansion in stability analysis is a foundational mathematical method for accurately predicting the post-buckling behavior and imperfection sensitivity of thin-walled structures under load.
• F. None of above. chosen