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Solid Mechanics II
Course Outline


1) STRESS STRAIN TRANSFORMATION
* Element subjected to direct stresses in two perpendicular direction
* Element subjected to Shearing stresses only
* Element subjected to general two dimensional stress system.
* Mohr Circle, Principal Stresses
* Combined Bending & Torsion
* Two Dimensional Strain Analysis
* Shear Strain in terms of co-ordinate system
* Relation between Elastic Constants

2) ELASTIC STRAIN ENERGY
* Strain Energy under direct Stress
* Strain Energy in Pure Shear
* Shear Energy in Torsion
* Strain Energy in Bending
* Castigliano's Theorem
* Reciprocal Theorem

3) BUCKLING
* Euler's Formula for different cases
* Emperical Formula (Rankine, Straight Line, Parabolic)
* Crinkling Instability of Tubes

4) BENDING OF INITIALLY CURVED BEAMS
* Rectangular Section
* Circular Section
* Trapezoidal Section
* I Section

5) THICK CYLINDER
* Stress Distribution in a Thick walled Cylinder
* Compound Cylinders
* Thin Rotating Disk

6) THEORY OF TORSION
* Torsion of a thin tube of non-circular section
* Torsion of a Thin Rectangular Strip
* Helical Spring
* Shear Center
* Skew Bending

7) DEFLECTION OF BEAM
* Step Function or Singularity function