The Brachistochrone Problem

Shortest Path Between Two Points On A Sphere

Curve Tracing and Coordinate Extraction Using OpenCV

Vibration Of Membranes

Ball On A Cylinder Using The Lagrange Multiplier Method

Timoshenko Beam Theory Part 3 of 3: Equations of Motion

Timoshenko Beam Theory Part 2 of 3: Hamilton's Principle

Timoshenko Beam Theory Part 1 of 3: The Basics

Beam With Mixed (Non-Classical) Boundary Conditions

Tapered Beam With An Elastic Foundation

Modal Analysis Using The Normal Mode Method

Introduction To The Lagrange Multiplier Method

Approximate Solutions - The Galerkin Method

Approximate Solutions - The Ritz Method

Governing Equations: Weak Forms Versus Strong Forms

The Brachistochrone Problem

The Hanging Chain (Catenary) Problem

Shortest Distance Path Between Two Points On A Plane

Deriving Lagrange's Equations

The Effect of the Axial Load - Foreshortening Work

Transverse Vibrations of a Beam Using Hamilton's Principle

Kinetic and Strain Energy for Common Structural Members

Deriving Hamilton's Principle

The Principle of Minimum Potential Energy

The Delta Operator (Variational Operation)