Non-linear Structures; Matrix Methods of Analysis and Design by Computers |
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Matrix methods of Structural Analysis | 45 |
The Stability Functions | 95 |
Nonlinear elastic frames | 117 |
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applied load axial forces axial loads becomes bending moment calculated chapter collapse mechanism combined loading constraints continuous beam corresponding deflection displacement transformation matrix drooping curve elastic critical load elastic-plastic analysis equal external loads frame of Figure fully plastic given by equation gives graph Hence hinge rotation horizontal iteration joint displacement vector linear elastic linear programming load factor M₁ M₂ maximum member forces minimum weight design mm² mode of deformation non-linear elastic non-linear programming objective function obtained overall stiffness matrix pin-jointed pitched roof frame plane frame plastic theory portal frame procedure R₁ rigid plastic rigidly jointed second end selected shear force shown in Figure simple plastic slack variables space frame stability functions statically determinate stiffness equations stress structure sway frames symmetrical Table tion variables vertical deflection vertical loading virtual work equation x₁ y₁ zero Өв