Lectures related to Distributed forces: integrals and resultant forces

Introduction to Structural Mechanics

Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.

Introduction to Structural Mechanics

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

Systems of Forces in 3D

Explores systems of forces in three dimensions, emphasizing moments and couples, equilibrium, and scalar components.

Structural Mechanics: Systems of Forces

Covers systems of forces, moments, couples, and stress in 2D and 3D, as well as the effect of force-couple systems.

Internal Load Diagrams: Structural Mechanics Exercises

Covers the correction of exercises on internal load diagrams in structural mechanics, focusing on frames, arches, and equilibrium calculations.

Introduction to Structural Mechanics: Systems of Forces

Introduces the fundamental concepts of forces, moments, and their classifications in structural mechanics.

Magnetostatics: Magnetic Field and Force

Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.

Functions xr, r>0, on 10,1

Covers the properties of functions xr, r>0, on 10,1, including limits and integrals.

Distributed Forces: Calculations and Analysis

Explores the analysis of distributed forces, including calculations, replacements, reactions, and edge conditions.

Comparison Series and Integrals

Explores the relationship between series and integrals, highlighting convergence criteria and function examples.

Introduction to Structural Mechanics

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

Improper Integrals: Convergence and Comparison

Explores improper integrals, convergence criteria, comparison theorems, and solid revolution.

Analytic Continuation: Residue Theorem

Covers the concept of analytic continuation and the application of the Residue Theorem to solve for functions.

Two-loop Computations: External Legs and Internal Propagators

Covers the computation of two-loop diagrams with external legs and internal propagators.

Residue Theorem: Calculating Integrals on Closed Curves

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

Generalized Integrals: Convergence and Divergence

Explores the convergence and divergence of generalized integrals using comparison methods and variable transformations.

Unclosed Curves Integrals

Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.

Integrals of Functions

Covers integrals as the reciprocal function of the derivative and explains displacement integral of velocity and variation of speed and acceleration in rectilinear motion.

Beams I

Covers the fundamentals of beams, including force distribution and internal forces in beams.

Structural Mechanics: Beam Bending and Boundary Conditions

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.