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