Course Objectives:

To acquaint with the basic concepts of stress and deformation in solids

To practice the methodologies to analyse stresses and strains in simple structural members, and to apply the results in simple design problems.

Syllabus

Analysis of deformable bodies : stress, strain, material behaviour, deformation in axially loaded bars,  biaxial and triaxial deformation.  Torsion of elastic circular members, design of shafts. Axial force, shear force and bending moment in beams.  Stresses in beams: flexure and shear stress formulae, design of beams. Deflection of beams.  Transformation equations for plane state of stress and strain,  principal planes and stresses,  Mohr's circle. Compound stresses: combined axial, flexural and shear loads – eccentric loading. Buckling: Euler’s theory and Rankine’s formula for columns.

Expected outcomes: At the end of the course students will be able to

1. Understand basic concepts of stress and strain in solids.
2. Determine the stresses in simple structural members such as shafts, beams, columns etc. and apply these results in simple design problems.
3. Determine principal planes and stresses, and apply the results to combined loading case.