Matrix Method | Stiffness Method for Structural Analysis

MATRIX METHOD OFSTRUCTURE ANALYSIS * The number of equations required over and above the equations of static equilibrium for the analysis of a structure is known as the degree of static indeterminacy or degree of redundancy. * The number of equilibrium conditions required to find the displacement components of all joints of the structure are known as the degree of kinematic indeterminacy or degree of freedom of the structure. * The systematic development of consistent deformation method has led to flexibility method which is also known as the force method or compatibility method. * The systematic development of slope deflection method in the matrix form has led to stiffness matrix method which is also known as displacement or equilibrium method. * The element dij of a flexibility matrix is the displacement in coordinate i due to a unit force applied at coordinate j. * The element of stiffness matrix kij is the force at coordinate i due to unit displacement at coordinate j. The flexibil...