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The exhaustive list of topics in Solid Mechanics in which we provide Help with Homework Assignment and Help with Project is as follows:

• Analysis of Stress:
• Surface forces and traction/stress vector
• Body forces and moments.
• Components of stress matrix and its relation to stress vector.
• Normal and shearing stresses on a plane
• Stress transformations and stress tensor
• Tensors.
• Principal stresses and axes
• Maximum shearing stress
• Equilibrium equations
• Boundary conditions.
• Analysis of Deformation and Strain:
• Deformation map
• Straining of line element and strain components as measure of deformation.
• Strain-displacement relations
• Infinitesimal strain and linearization
• Physical interpretation of normal and shear strain components.
• Infinitesimal rotation vector and relative displacement
• Straining of arbitrary line element
• Strain transformation and strain tensor
• Principal strains and axes.
• Analogies with stress tensor
• Volumetric strain and cubical dilation
• Strain Compatibility equations.
• Constitutive Relations, Boundary Value Problems:
• Generalized Hooke's law
• 3-D stress-strain relation for linear elastic Isotropic solid.
• Compatibility equations in terms of stress
• Types of boundary value problems (BVPs)
• Displacement and stress formulations
• Saint Venant's principle.
• Two Dimensional Elasticity in Cartesian and Polar Coordinates:
• Plane stress
• Plane strain
• Formulation of BVP using Airy stress function
• Inverse and semi-inverse methods of solution.
• Problems in rectangular coordinates
• Polynomial solutions
• Determination of displacements
• Fourier series solutions.
• Problems in polar coordinates
• Transformation of field equations in polar coordinates
• Axisymmetric problems
• Non-axisymmetric problems
• Stress concentrations
• Use of symmetry in solving 2-D problems.
• End Torsion of Bars (prismatic, general cross-section):
• Review of torsion of circular sections
• Formulation of BVP using Prandtl stress function and Saint Venant's semi-inverse method (Warping function method)
• Membrane analogy.
• Solutions for solid cross-section bars
• Torsion of thin-walled open-section and closed-section (multi-celled) members.
• Formulation for torsion of multi-celled thick-walled cross-sections
• Finite difference method.
• Bending of Beams (prismatic, general cross-section):
• Preliminaries - sign conventions
• Area moments of inertia and their transformation
• Principal inertias.
• Pure bending of beam with terminal couples
• Bending of beam with end shear - BVP formulation
• Examples
• Shear center and its determination.
• One-dimensional shear flow in open thin-walled beams and shear center problem solving.
• Specific topics
• Bending of Curved Beams:
• Prismatic
• Symmetric sectioned
• Assumption
• Derivation of basic results (kinematics, stresses)
• Obtaining maximum stresses
• Determining deflections using energy methods.
• Beams on Elastic Foundation:
• Basic problem of infinite beam with point load
• various modifications of basic problem and application of superposition for solving them.