Introduction
-Determinate and indeterminate structures
-Degree of indeterminacy in beams, frames and trusses
Determinate Structures
-Beams: Double integration, Moment area, Conjugate beam Unit load method and theory of Castiglione.
– Frames: Unit load, Moment area method and movement of joints
-Trusses: Unit load, Joint displacement, Graphical and angle weight method.
Indeterminate structures
-Consistent deformation method: statically indeterminate beams /frames of one and two redundant.
-Laws of reciprocal deflections
-Theorem of least work
-Three Moment Theorem: Derivation of the theorem and application to statically indeterminate beams
-Method of Slope Deflection: Derivation of equation, Analysis of continuous beams and portal frames without joint movement/with joint movement
-Analysis of continuous beams and portal frames due to yielding of supports
-Moment Distribution Method Concept, distribution and carryover factors
-Analysis of continuous beams and portal frames without joint movement/with joint movement.
-Analysis of continuous beams and portal frames due to yielding of supports.
Matrix Stiffness Method.
-Introduction to Matrix Stiffness Method
-Methods of formation of element stiffness matrix for truss, beam and frame element.
-Deformation transformation matrix, Structures stiffness matrix for truss, beam and frame elements.
-Analysis of indeterminate structure using stiffness method.