Course Details
Subject {L-T-P / C} : CE4205 : Advanced Mechanics of Solids { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof.(Ms.) Asha Patel
Syllabus
Elementary Concept of Elasticity: Stresses in three dimensional bodies, equations of equilibrium, strain displacement relations, stress strain relations, compatibility equations, boundary conditions, plane stress, governing differential equation, Airy stress function(Cartesian co-ordinates).
Theories of Failure: Theories of Failure and its graphical representation for two-dimensional cases.
Thick walled cylinders: Thick cylinders subjected to internal and external fluid pressures, compound cylinders, shrink-fit.
Energy Methods: Strain energy expression in three dimensions, strain energy due to axial load, bending and torsion, Castigliano’s theorems, Principle of virtual work, Unit load and unit couple method.
Unsymmetrical bending: Properties of beam cross-sections slope of neutral axis, stresses and deflections in unsymmetrical bending.
Shear centre of thin wall beam cross section.
Curved beams: Bending of beams of large initial curvature, stress distribution in beams with rectangular, circular and trapezoidal cross sections, location of neutral axis, stresses in crane hooks, rings and chain links.
Membrane stresses in shells, application to cylindrical, spherical and conical shells.
Plastic Analysis of Beams: Plastic Modulus, Shape factor, plastic hinge, application to beams, and determination of collapse loads.
Special Topics: Repeated stresses in structural and machine components, fatigue in metals, endurance limit, concept of stress concentration, stress concentration factor and notch sensitivity.
Course Objectives
- To describe generalizing concepts of stress and strain analyses in a solid
- To familiarize with the solution of advanced bending problems
- To get acquainted with energy methods for solving structural mechanics problem
- A glance into some advanced topics
Course Outcomes
Students will be able <br />1. to have a more mature understanding of elementary concepts of stess and strain <br />2. Solve the advanced practical problems
Essential Reading
- L. S. Srinath, Advanced Mechanics of Solids, Tata-McGraw Hill Publishing Co. Ltd
- A.C. Ugural, S.K. Fenster, Advanced Strength and Applied Elasticity, Pearson Education, 2003.
Supplementary Reading
- A.P. Boresi, R.J. Schmidt, O.M. Sidebottom, Advanced Mechanics of Materials, John Wiley&Sons, 1993
- 4. S. P. Timoshenko and J. N. Goodier, Theories of Elasticity, McGraw Hill Publisher