The case example consists of a regular planar frame (Figure 1).
Postprocess: the final part to display the results in terms of forces and stress, if necessary. Number all the structural degrees of freedom. 2.Identify the Displacement Degrees of Freedom in Global Directions. Gavin Fall, 2014 Method 1.Number all of the nodes and all of the elements. Matrix Structural Analysis Department of Civil and Environmental Engineering Duke University Henri P. stands today as the testimony to the skills of master builders of that civilization. The Matrix Stiness Method for 2D Trusses CEE 421L. The Pyramids constructed by Egyptians around 2000 B.C. 1.1 Introduction Structural analysis and design is a very old art and is known to human beings since early civilizations. Some methods generally accepted to solve the linear equations system is Gauss-Jordan, Gaussian elimination, etc. Write force-displacement relations for simple structure. Process: where we solve the previous expression, F = K ∙ d F=K∙d. Preprocess: the first step in structural analysis, where we get the structure data, geometry, material properties, and loads and finalize when the global stiffness matrix is constructed. 
The main goal is to convert a continuous structure into discrete “pieces” of an assembly and analyze it, obtaining forces and displacements. In simple terms, the problem drops into the following form: F = K ∙ d The same procedure is used for both determinate and indeterminate structures. The method is the generalization of the slope deflection method. The number of displacements involved is equal to the no of degrees of freedom of the structure.
We often use software available to solve a structural analysis, which results in forces, displacement, stresses, etc. The joint displacements are treated as basic unknowns. Subsequent chapters focus on the elastic properties of single elements the equilibrium or displacement method the equilibrium equations of a complete.
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