1. Introduction (1 – 24)
I. Formulation of problems in theory of structure: functions of the structural systems and the corresponding requirements/conditions to be fulfilled, strength, stiffness and stability of a system……..1
II. Conditions and equations: static, compatibility and physical….1
III. Satisfaction of Conditions ………………………………………2
IV. Boundary conditions, partial restraints …………………………2
V. Solution of equations…………………………………………….3
VI. Structural Idealization, local and global coordinate systems and static deformation; conventions of signs ……………………….4
VII. Indeterminacy of structural systems, its physical meanings and its types ……………………………………………………………..5
VIII. Degree of static indeterminacy of a system and its determination/calculation: use of formula, necessity of visual checking (for plane systems – truss, frame and arch) ………….5
IX. Degree of kinematic indeterminacy of a system and its determination/calculation: use of formula, necessity of visual checking: for plane systems only in the form of truss, frame and arch ……………………………………………………………….9
X. Force and displacements as cause and effects: Betti’s Law and Maxwell’s Reciprocal Theorem, their uses and the limitations…11
XI. Two theorems from Castigliano and their applications; use of second theorem for determination of displacements in statically determinate and solution of statically indeterminate simple systems like beam and truss ………………………………………………1
XII. Flexibility and Stiffness …………………………………………18
XIII. Flexibility Matrix ………………………………………………..19
XIV. Stiffness Matrix …………………………………………………20
XV. Relationship between flexibility and stiffness matrices ………21
XVI. Force and Displacement methods ……………………………..22
I. Formulation of problems in theory of structure: functions of the structural systems and the corresponding requirements/conditions to be fulfilled, strength, stiffness and stability of a system……..1
II. Conditions and equations: static, compatibility and physical….1
III. Satisfaction of Conditions ………………………………………2
IV. Boundary conditions, partial restraints …………………………2
V. Solution of equations…………………………………………….3
VI. Structural Idealization, local and global coordinate systems and static deformation; conventions of signs ……………………….4
VII. Indeterminacy of structural systems, its physical meanings and its types ……………………………………………………………..5
VIII. Degree of static indeterminacy of a system and its determination/calculation: use of formula, necessity of visual checking (for plane systems – truss, frame and arch) ………….5
IX. Degree of kinematic indeterminacy of a system and its determination/calculation: use of formula, necessity of visual checking: for plane systems only in the form of truss, frame and arch ……………………………………………………………….9
X. Force and displacements as cause and effects: Betti’s Law and Maxwell’s Reciprocal Theorem, their uses and the limitations…11
XI. Two theorems from Castigliano and their applications; use of second theorem for determination of displacements in statically determinate and solution of statically indeterminate simple systems like beam and truss ………………………………………………1
XII. Flexibility and Stiffness …………………………………………18
XIII. Flexibility Matrix ………………………………………………..19
XIV. Stiffness Matrix …………………………………………………20
XV. Relationship between flexibility and stiffness matrices ………21
XVI. Force and Displacement methods ……………………………..22