Beam Bending: Deflection and Applications in Nanotechnology

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Covers the addition of springs in series and parallel, exploring equivalent movements.

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

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

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

Covers the derivation of differential equilibrium equations for beams and their application through examples.

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

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Covers the approximation of a system of differential equations using a method based on time intervals.

Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.