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The exhaustive list of topics in Applied Elasticity for Pre stressed Concrete Structures  in which we provide Help with Homework Assignment and Help with Project is as follows:

  • Analysis of Stress :
    • Stress tensors
    • two-dimensional state of stress at a point
    • principal stresses in two dimensions
    • Cauchy's stress principle
    • direction cosines
    • stress components on an arbitrary plane with stress transformation.
    • Principal stresses in three dimensions
    • stress invariants
    • equilibrium equations
    • octahedral stresses
    • Mohr's stress circle
    • construction of Mohr Circle for two and three dimensional stress systems
    • equilibrium equations in polar coordinates for two-dimensional state of stresses.
    • General state of stress in three-dimensions in cylindrical coordinate system.
    • Numerical examples
  • Analysis of Strain :
    • Types of strain
    • strain tensors
    • strain transformation.
    • Principal strains
    • strain invariants
    • octahedral strains.
    • Mohr's Circle for Strain
    • equations of Compatibility for Strain
    • strain rosettes.
    • Numerical examples.
  • Stress-Strain Relations :
    • Generalised Hooke's law
    • transformation of compatibility Condition from Strain components to stress components.
    • Strain energy in an elastic body
    • St. Venant's principle
    • uniqueness theorem.
  • Two Dimensional Problems in Cartesian Coordinate System :
    • Plane stress and plane strain problems.
    • Stress function
    • stress function for plane stress and plane strain cases.
    • Solution of two-dimensional problems with different loading conditions by the use of polynomials.
    • Numerical examples.
  • Two Dimensional Problems in Polar Coordinate System :
    • Strain-displacement relations
    • compatibility equation
    • stress- strain relations
    • stress function and biharmonic equation. 
    • Axisymmetric problems
    • thick-walled cylinders
    • rotating disks of uniform thickness
    • stress concentration
    • effect of circular holes on stress distribution in plates.
    • Winkler's - Bach theory
    • stresses in closed rings.
  •   Torsion of Prismatic Bars :
    • General solution of the torsion problem
    • stress function
    • torsion of circular and elliptic cross sections.
    • Prandtl's membrane analogy
    • torsion of thin walled and  multiple cell closed sections. 
  •  Elastic Solutions in Geomechanics :  
    • Solutions to the problems of Kelvin
    • Boussinesq
    • Flamant
    • Cerrutti
    • Mindlin.