5ME1-ADVANCED MECHANICS OF SOLIDS |
Units: I |
Analysis of stress in 3-Dimensions: Body force, surface force and stress vectors, state of
stress at a point, normal shear stress components, stress component on arbitrary plane,
principal stresses in 3-Dimentions, stress invariants, decomposition of stress matrix into
hydrostatic and pure shear states, Lame’s stress ellipsoid, differential equations of
equilibrium.
|
Units: II |
Analysis of strain in 3-Dimensions: introduction, deformation in neighborhood of a point,
change of length of linear element, state of strain at a point, principal axes of strain and
principal strains, compatibility conditions. |
Units: III |
Stress strain relations for linearity elastic bodies, generalized Hooke’s law, stress-strain
relations for anisotropic, orthotropic and isotropic materials.
|
Units: IV |
Bending of curved beams (Winkler-Bach formula); unsymmetrical bending of beams,
shear centre.
|
Units: V |
Stresses in thick cylinders, shrink fit stresses, stresses in rotating discs.
|
|