Introduction to flexibility method, Element flexibility matrix, Principle of contragradience, and Force Transformation Matrix, Member Flexibility matrix, Construction of structure flexibility matrix. Matrix determination of the displacement vector, Determination of member forces.
Analysis of axially rigid continuous beams by flexibility method using Force Transformation Matrix
Analysis of rigid plane frames with axially rigid members by flexibility method using Force Transformation Matrix.
Analysis of trusses by flexibility method Using Force Transformation Matrix.
Fundamentals of the stiffness method, equivalent joint loads, DisplacementTransformation matrix. Member stiffness matrix, Total or System stiffness matrix, Truss analysis by stiffness method using Displacement Transformation Matrix.
Continuous Beam and rigid frame analysis with axially rigid members by stiffness method using Displacement Transformation Matrix.
Introduction to direct stiffness method, Local and global co-ordinate system, Transformation Of variables, Transformation of the member displacement matrix, Transformation of the member Force matrix, Transformation of the member stiffness matrix, Transformation of the stiffness Matrix of the member of a truss, Transformation of the stiffness matrix of the member of the Rigid frame, Overall stiffness matrix, Boundary conditions, Computation of internal forces.
Analysis of trusses and continuous beams by direct stiffness method.