Analysis of Statically-indeterminate Frameworks |
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Contents
The Two Basic Approaches to the Analysis of Statically | 7 |
Analysis of Linear Pinjointed Frameworks using Stiffness | 16 |
Analysis of Staticallyindeterminate Beam Systems | 37 |
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Common terms and phrases
6EI 2EI A₁ A₂ bending moment bending moments Betti's theorem bibliography ref cantilever changes in length compatibility approach compatibility of strains complementary energy conditions of equilibrium cross sectional area d₁ degrees of freedom due to unit elastic centre method encastré equations of equilibrium equilibrium approach F₁ F₂ Figure final equations flexibility coefficients flexural rigidity follows forces in equilibrium frame framework shown Hooke's Law influence line linear elasticity linear simultaneous equations load F3 loading shown member BG obtained pin-jointed framework PORTAL FRAME portal framework potential energy principle of stationary principle of virtual R₁ R₂ reciprocal theorem redundant member represents respectively rotation self-straining shown in Fig simultaneous equations solution stanchions statically statically-determinate system statically-indeterminate frameworks stiffness coefficients strain energy sway system of forces tons unit load values vertical deflection virtual displacements Young's modulus zero Δι ΕΙ ΟΔ