Assumptions, Limitations and Applications of Bernoulli’s Equation

Abstract

The Euler-Bernoulli beam theory, also called “beam theory”, is a condensed version of the linear
isotropic theory of elasticity and can be used to predict the load-carrying and deflection properties of
beams. It was initially stated around the year 1750, but it was not widely used until the Eiffel Tower
and the Ferris Wheel were built in the late 19th century. It immediately became an engineering pillar
and a catalyst for the Second Industrial Revolution after these productive demonstrations. Although
other analytical techniques, including as plate theory and finite element analysis, have been
developed, beam theory remains a crucial tool in the sciences, particularly in structural and
mechanical engineering. The Euler-Bernoulli beam theory streamlines the linear theory of elasticity
in order to estimate the load-carrying and deflection properties of beams. The engineer’s beam theory
or the traditional beam theory are two names for this theory. It addresses the situation where a beam
solely experiences lateral loads and experiences modest deflections. It is therefore a specific instance
of Timoshenko beam theory since it disregards the effects of shear deformation and rotatory inertia.
Although it was initially mentioned sometime before 1750, it was not fully implemented until the late
19th century, when the Eiffel Tower and the Ferris Wheel were constructed.