Kinematic approach for analysis 'Displacement Method'

Kinetic approach of analysis is also known as displacement method of analysis in which the reactive forces and moments are treated as dependent variable in terms of displacements and rotations of nodes of the structure to idealise the structure with the help of relationships derived based upon material and geometrical  properties. Since the deformation of the nodes of the structure functions as independent variable in the equations relating reactions with deformations, the concept of kinematic degree of indeterminacy helps to judge the difficulty of obtaining solutions from the equations, which further will help to complete free body diagram and latter on with the help of application of method of sections, the internal forces and moments will be evaluated. These internal forces and moments will induce stresses and strains which can solved by applications of solid mechanics. For analysis of statically indeterminate structures with the help of kinematic approach, redundant support reactions are expressed in terms of nodal rotations and deflections associated with stiffness coefficients; therefore this method is also popular as stiffness method. There are two popular methods which works on this approach:

1. Slope-Deflection method
2. Moment Distribution method