AIMS AND OBJECTIVES OF THE COURSE: To introduce fundamental concepts in mechanics of deformable bodies. To link the concepts of stress, strain, force and deflection to the behaviour of real structures. To provide the knowledge and methodology for design and analysis of simple solid structures. To introduce students to strain energy methods and buckling.
DESCRIPTION OF THE COURSE: The main topics cover: Axial Loading - normal stress, strain, stress–strain diagram, Hooke’s law, stress check and design. Transformation of plane stress - principal stresses, maximum shearing stress. Transformation of plane strain. Generalized Hooke/s law. Pure bending - stresses, neutral axis, stress check and design of beams. Eccentric axial loading in a plane of symmetry - stresses, neutral axis, stress check and design. Unsymmetric bending - stresses, neutral axis, stress check and design. Yield criteria for ductile materials under plane stress.Transverse shear – shearing stress, strain, Hooke’s law, stress check and design. Torsion and bending of shafts - stress check and design. Torsion of thin-walled closed and opened cross-section beams. Castigliano’s theorem – deflection, slope , statically indeterminate structures.Stability of columns – Euler’s formula. Design and check of columns under centric loading.
