Deflection of beams is a fundamental concept in structural engineering that plays a critical role in the design of buildings, ...

Inverse problems in Euler–Bernoulli beam dynamics focus on determining unknown parameters or source distributions within the governing beam equation from external observations. This area spans ...

The transverse load P will produce a shear force V in the positive y direction on a mathematical cut through the beam at point “a”. This shear force is directly responsible for the shear stress τ on ...

Quarterly of Applied Mathematics, Vol. 65, No. 4 (December 2007), pp. 705-736 (32 pages) A system of transmission of Euler-Bernoulli plate equation with variable coefficients under Neumann control and ...

He also helped develop the Euler-Bernoulli beam equation, which became a cornerstone of engineering. Born in Basel in 1707, Euler was tutored by Europe’s leading mathematician Johann Bernoulli.