Introduction to Matrix Structural Theory in Its Application to Civil and Aircraft Construction |
Contents
Introduction | 1 |
THE FORCE METHOD | 7 |
The Matrix Formulation | 17 |
Copyright | |
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according acting actual analysis antisymmetrical applied loads arches associated b₁ basic system behavior bending moment bending moments calculate column matrix computational Considering Eqs constant corresponding cross section curvature defined developed diagrams direction distribution effect equal equations expressed external loads external loads applied flanges foregoing frame given by Eq gives groups of redundants horizontal indicated initial internal forces input internal forces Introducing joint displacements lack of fit modified structure normal force noting obtained panel partitioned present Principle R₁ R₂ redundants referring respectively shear flow shown in Fig side simply statically stiffness matrix strain due strains stress structural elements submatrices submitted Substituting Suppose symmetrical system of virtual temperature torque transformation matrix Unit Displacement Method unit redundants virtual displacements written X₁ ΕΙ