Видео

Derivation of the Element Stiffness Matrix for 1-D elements Prior to watching, please review: Matrix Operations

This lecture discusses how to apply the principle of superposition in determining the state of stress of members/sections subjected to combined loadings. Before watching, please REVIEW: CONCEPTS on Axial Stress, Torsional Shear Stress, Flexural Fiber Stress, and Transverse Shear Stress

Brief introduction to FEM; Definition of terms; General proedure; Application of FEM in civil engineering

Using the Method of Separation of Variables to solve 1st order PDEs and higher order PDEs (This video shows the solution to the 1-D heat equation)

Solving First Order Partial Differential Equations using the Method of Characteristics

Solving deflections of statically indeterminate beams using the Double Integration Method

2nd part of the lecture on Double Integration Method; Finding locations and magnitudes of maximum deflection using the Double Integration Method NOTE: We are interested in where dy/dx=0 since it is an indicator that the curvature of the elastic curve changes and hence, is a possible location of the maximum deflection.

Solving slopes and deflections of beams using the Double Integration Method