The response of the system will depends on the boundary conditions. There are two different types of boundary conditions viz., geometric boundary conditions and natural boundary conditions. Geometry boundary conditions also known as essential or imposed boundary conditions result from conditions of purely geometric compatibility. For example in case of a clamped-clamped beam in both the ends deflections and slopes are zero (Fig. 10.3).

Fig 10.3: Clamped-Clamped Beam

Free-free beam Bending moment and shear forces are zero at both ends ( natural boundary conditions at both ends) Simply supported beam ( mixed boundary conditions)