The exhaustive list of topics in Structural Analysis in which we provide **Help with Homework Assignment** and **Help with Project** is as follows:

**Structural analysis:**- structural elements
- joints and supports
- stability
- rigidity and static indeterminacy
- kinematic indeterminacy

**loads:**- direct actions
- indirect loading

**response:**- equilibrium
- compatibility
- force-displacement relations
- levels of analysis
- analysis of statically determinate structures (trusses, beams, frames)
- applications of principle of virtual work and displacement-based and force-basedenergy principles
- deriving stiffness and flexibility coefficients

**Indeterminate structures****Force methods:**- Statically indeterminate structures
- method of consistent deformations
- theorem of least work

**Displacement Methods**:- Kinematically indeterminate structures
- slope-deflection method
- moment distribution method

**Matrix concepts and Matrix analysis of structures:**- Matrix
- vector
- basic matrix operations
- rank
- solution of linear simultaneous equations
- eigenvalues and eigenvectors.
- coordinate systems
- displacement and force transformation matrices.
- Contra-gradient principle
- element and structure stiffness matrices.
- Element and structure flexibility matrices
- equivalent joint loads
- stiffness and flexibility approaches.

**Matrix analysis of structures with axial elements:**- Axial stiffness and flexibility
- stiffness matrices for an axial element (two dof)
- plane truss element (four dof) and space truss element (six dof);

**One-dimensional axial structures:**- Analysis by conventional stiffness method (two dof per element) and reduced element stiffness method (single dof)
- Analysis by flexibility method

**Plane trusses:**- Analysis by conventional stiffness method (four dof per element) and reduced element stiffness method (single dof)
- Analysis by flexibility method.

**Space trusses:**- Analysis by conventional stiffness method (six dof per element) and reduced element stiffness method (single dof).

**Matrix analysis of beams and grids****Conventional stiffness method for beams**:- Beam element stiffness (four dof)
- generation of stiffness matrix for continuous beam
- dealing with internal hinges
- hinged and guided-fixed end supports
- accounting for shear deformations

**Reduced stiffness method for beams:**- Beam element stiffness (two dof)
- dealing with moment releases
- hinged and guided-fixed end supports

**Flexibility method for fixed and continuous beams**:- Force transformation matrix
- element flexibility matrix
- solution procedure (including support movements)

**Stiffness method for grids:**- Torsional stiffness of grid element and advantage of torsion release
- analysis by conventional stiffness method using grid element with six dof
- analysis by reduced stiffness method (three dof per element).

**Matrix analysis of plane and space frames:**- Element stiffness (six dof)
- generation of structure stiffness matrix and solution procedure
- dealing with internal hinges and various end conditions.

**Reduced stiffness method for plane frames**:- Element stiffness (three dof)
- ignoring axial deformations
- dealing with moment releases
- hinged and guided-fixed end supports.

**Flexibility method for plane frames:**- Force transformation matrix
- element flexibility matrix
- solution procedure (including support movements)
- Ignoring axial deformations.

**Stiffness method for space frames:**- Element stiffness matrix of space frame element with 12 dof and 6 dof
- coordinate transformations
- analysis by reduced stiffness method (six dof per element).

**Analysis of elastic instability and second-order effects****Effects of axial force on flexural stiffness:**- Review of buckling of ideal columns
- flexural behaviour and stiffness measures for beam-columns - braced and unbraced
- under axial compression.

**Solution by slope deflection method:**- Slope deflection equations for prismatic beam columns using stability functions
- modifications for pinned and guided-fixed-end conditions
- fixed-end moments in beam-columns.

**Solution by matrix method**:- Stiffness matrix for prismatic beam-column element
- estimation of critical elastic buckling loads
- second-order analysis