Pre-Analysis
 

Mathematical Model

Euler-Bernoulli Beam Theory

Strains and Stresses

Potential Energy

Potential Energy Minimization

Discretization

Interpolation

Algebraic Equations Derivation

Check Your Understanding

One or more of the following statements is/are true. Select which statements are true.

• 3D Elasticity theory makes the assumption that plane sections remain plane whereas the Euler-Bernoulli beam theory doesn’t make this assumption.
•  In Euler-Bernoulli beam theory, the Poisson's ratio is assumed to be zero.
• If we have 4 nodes instead of 3, ANSYS will need to determine 8 parameters (4 y-displacements and 4 rotations) either from the essential boundary conditions or by solving a set of algebraic equations. 
• If we have 4 nodes instead of 3, the number of algebraic equations that ANSYS will need to solve simultaneously will be 5.
• We have to determine the y-displacement of the midline at locations between the nodes using interpolation. This interpolation is given by a second-order polynomial.

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We have to determine the y-displacement of the midline at locations between the nodes using interpolation. This interpolation is given by a second-order polynomial.