Transcription of Chapter 4 - Matrix Stiffness Method
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Chapter 4 - Matrix Stiffness Method
Structural Analysis IV Chapter 4 Matrix Stiffness Method Dr. C. Caprani 1 Chapter 4 - Matrix Stiffness Method Introduction .. 3 Background .. 3 Basic 4 Computer Programs to Support 6 Basic Approach .. 10 Individual Element .. 10 Assemblies of Elements .. 12 Example 1 .. 14 General Methodology .. 20 Member contribution to global Stiffness Matrix .. 22 Interpretation of Stiffness Matrix .. 27 Restricting a Matrix Imposing Restraints .. 29 Plane Trusses .. 32 Introduction .. 32 Truss Element Stiffness Matrix .. 35 Element Forces .. 40 Example 2: Basic Truss .. 43 Example 3: Adding Members .. 52 Example 4: Using Symmetry .. 56 Self-Strained Structures .. 59 Example 5 Truss with Differential Temperature .. 63 Example 6 Truss with Loads & Self Strains .. 69 Structural Analysis IV Chapter 4 Matrix Stiffness Method Dr. C. Caprani 2 Problems .. 74 Beams .. 77 Beam Element Stiffness Matrix .
program (like MS Excel) since the number of members and member connectivity can change from structure to structure. The program will be able to analyse plane pin-trusses subject to nodal loads -jointed only. It will not deal with member prestress, support stiffness or lack of fits: it is quite rudimentary on purpose.
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