The beam weighs 280 lb>ft. Determine the internal normal force, shear force, and moment at point C. A C B 8 ft 3 ft 7 ft 6 ft Prob. 74

Energy Kinetic Energy - energy of motion Potential Energy - stored energy Linear Kinetic Gravitational Potential Q: What about the spring potential Spring Potential Lagrange's Equations/Method (Sec. 1.5) * Energy-based method * Allows us to ignore internal/interaction forces (if we want to) * Usually based around: - generalized coordinates - virtual displacements Generalized Coordinates Lagrange's Equation (with no external forces or damping) Simple Linear Example of Lagrange's Method Simple Rotational Example of Lagrange's Method A Less-Simple Example (Newton/Euler) A Less-Simple Example (Lagrange) Lagrange's Met