Euler-Bernoulli Beam Equation

Theorem

 * $q = \map {\dfrac {\d^2} {\d x^2} } {E I \dfrac {\d^2 w} {\d x^2} }$

where:
 * $q$ is the bending moment
 * $E$ is Young's modulus
 * $\dfrac {\d^2 w} {\d x^2}$ is the curvature
 * $I$ is the moment of inertia of the cross-section about an axis through the center of mass and perpendicular to the plane of the couple.

Also known as
The Euler-Bernoulli Beam Equation is also known as the Euler-Bernoulli Law.