Introduction of Structural Analysis | Structural Analysis

Structural Analysis INTRODUCTION Assumptions 1. Material is homogeneous, isotropic and linearly elastic 2. Boundary conditions are ideal 3. Deflections are small 4. Loads are ideal 5. Structures are idealized as beams, plane frames, three-dimensional frames, etc. Law of superposition It means the structure can be analysed for different loads separately and the results be superposed to get the final results due to different load combinations. Conditions of equilibrium In case of three-dimensional structure are SFx = 0, SFy = 0, SFz = 0 SMx = 0, SMy = 0, SMz = 0 where x, y and z are Cartesian coordinate systems in space. Compatibility conditions It means requirement of continuity at joints. 1. The members meeting at a joint will continue to meet at the same point even after deformation. 2. At rigid-joints, the angle between any two members remains the same even after deformation. A system is called linear systems if its material has linear stress-strain relation and deflections are small...