Tension and compression of simple and compound bars. Hooke’s law, Poisson’s ratio. Compatibility equations. Equations of equilibrium. Simple indeterminate structures. Shear. Evaluation of stress and strain to members under shear forces. Plane stress (tensile and shear stresses, principal stresses and directions, Mohr’s circle of stresses, differential equilibrium equations). Plane strain (strain, rotation, principal stresses, Mohr’s circle of strains, compatibility relations). Elastic behaviour (3D state of stress, constitutive equations for isotropic materials). Properties of the strain and stress tensors. Stress-strain relations. Principal stress. Elastic beam bending theory and introduction to plastic behaviour of bending beams. Simple bending of composite beams. Torsion. The principle of Saint-Venant. Prismatic bodies subjected to pure torsion. Buckling of elastic structures. Evaluation of critical buckling load of simple members.
- The Department