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
 twodimensional 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 twodimensional state of stresses.
 General state of stress in threedimensions 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.

StressStrain 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 twodimensional problems with different loading conditions by the use of polynomials.
 Numerical examples.

Two Dimensional Problems in Polar Coordinate System :
 Straindisplacement relations
 compatibility equation
 stress strain relations
 stress function and biharmonic equation.
 Axisymmetric problems
 thickwalled 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.