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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