Equilibrium Equations of Beams

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Covers the solution of differential equations with initial conditions and limit analysis.

Covers the fundamentals of structural mechanics, focusing on beams, sign conventions, types of beams, and methods to calculate stress resultants.

Covers the definition and solution of Cauchy-Euler equations, which are second-order differential equations with specific form and solutions.

Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.

Explores axially loaded columns, buckling phenomena, and critical loads.

Covers a vertical metronome's forces, angle equation, equilibrium positions, and stability.

Explores the analysis of a ball's trajectory in contact with a beam, focusing on forces, angles, and motion equations.

Covers the application of Laplace transform to LTI Systems, including examples and differential equations.

Explores solving linear differential equations and the principle of superposition with illustrative examples.