Advanced Mechanics of Solids

Course Objectives::

The course is designed to introduce the students to the behavior of structural and mechanical systems subjected to various types of loading.

They will evaluate the resulting stresses, strains and deflections as well as failure criteria of these systems 

Expected Course Outcome:

Develop a physical understanding of how mechanical and structural systems respond to a wide variety of loading.

 Analyze and compute the stresses and deflections, and failure criteria of a variety of mechanical and structural systems.

 Judge the computed results and use these results towards designing mechanical and structural systems 

Module:1 Stress and strain Relations: 

Principle of minimum potential energy, Castigliano’s theorems- Problems  

Module:5 Shear centre: 
Bending axis and shear center - shear center for axi-symmetric and unsymmetrical sections-shear flow-problems 

Module:6 Unsymmetrical bending:

Stresses and deflections in beams subjected to unsymmetrical loading- Problems 

Module:7 Curved beams: 

Radial and circumferential stresses in curved beams, deflection of curved beams, closed ring subjected to concentrated load and uniform load – chain links and crane hooks – Problems Stresses due to rotation: Radial and tangential stresses and displacements in rotating disks of constant and variable thickness- Problems