Equilibrium Equations of Beams

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Introduction to Structural Mechanics

Covers beams with distributed and concentrated forces, bending moment, shear force, and internal load diagrams.

Cable Structures: Analysis and Equilibrium

Covers cable structures analysis, equilibrium, and comparison with arches, including examples and exam preparation.

Beams and Frames: Matching Conditions and Internal Loads

Covers the analysis of beams and frames, focusing on matching conditions and internal loads.

Cables and Differential Equations

Covers the determination of cable shapes under different loads and the characteristics of cables and materials used.

Beam Buckling: Buckling Conditions for Different Constraints

Explores beam buckling and different constraints' buckling conditions, emphasizing equilibrium computation and superposition.

Numerical Analysis: Jupyter Notebook Tutorial

Covers course organization, Jupyter Notebook for Python experimentation, algorithms, interpolation, solving equations, linear systems, and practical applications.

Differential Equations: Speed Variation Analysis

Covers the analysis of speed variation using differential equations and small time intervals.

Virtual Work Principles: Energy and Mechanics

Covers work, potential energy, and the principle of virtual work in structural mechanics.

One Dimensional Harmonic Oscillator

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

Homogeneous Differential Equations

Explores solving first-order homogeneous differential equations through variable changes and delves into the Bernoulli differential equation.