The Summation Conventions. Scalars and Vectors. Coordinate Rotations. Cartesian Tensors. Tensor Algebra. Scalar and Vector Fields. Orthogonal Curvilinear Coordinates. The Divergence Theorem.

Body and Surface Forces. The Stress Tensors. Principal Axes and Stresses. Principal Shearing Stresses. Curvilinear Coordinates.

Kinetics of Deformable Solids. Strain Tensors. Geometry of Deformation. Linear Strains. Compatibility of Linear Strain Field. Curvilinear Coordinates.

Hooke's Law. Generalized Hooke's Law. Homogeneous Isotropic Median. Equations of Elasticity for an Isotropic, Linear Elastic Solid. Fundamental Boundary-value Problems of Elasticity. The Strain Energy Function. Uniqueness of Solution. Saint-Venant's Principle.

Strain Potential. Applications to Hollow Cylinders and Spheres. Body Force and Rotating Disks. The Boussinesq-Pakovich-Neuber Solution. Isolated Force in an Infinite Medium. Isolated Force on a Plane Boundary,. Anti-plane Strain.

Place Strain. Generalized Plane Stress. Airy Stress Function. Problems in Rectangular Coordinates. Polynomial Solutions and Applications. Problems in Polar Coordinates. Michell Solution. Wedge Problems. Flamant Solution. Applications.

Extension of Beams by Longitudinal Forces. Beam Stretched by its Owen Weight. Torsion of Prismatic Bars. Prandtl's Stress Function. Simple Solution of Torsion Problems. Torsion of Hollow Shafts. Torsion of Composite Shafts. Flexure of Beams by Terminal Loads. Center of Flexture.

Midterm Exam 100 points