# Euler-Bernoulli Beam Equation

## Contents

## Theorem

- $\dfrac {\mathrm d^2} {\mathrm d x^2} \left({E I \dfrac {\mathrm d^2 w} {\mathrm d x^2} }\right) = q$

## Proof

## Source of Name

This entry was named for Leonhard Paul Euler and Daniel Bernoulli.

## Sources

- 1972: George F. Simmons:
*Differential Equations*... (previous) ... (next): $\S 3$: Appendix $\text A$: Euler - 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {A}.21$: Euler ($1707$ – $1783$)