CE 47400 – Structural Analysis II

Credits and contact hours:

  • 3 credits
  • Lecture that meets 3 times per week for 50 minutes per meeting for 15 weeks

Specific course information:

  • Catalog description: Determination of deflections by the method of virtual work; analysis of trusses, continuous beams, and frames by direct stiffness method; approximate methods of analysis.
  • Prerequisites: Undergraduate level CE 37100 Minimum Grade of D-
  • Course status: Technical Elective

Specific Goals for the course:

  • Student learning outcomes - Upon successful completion of this course the student shall be able to:
    • Use approximate methods of analysis to estimate forces/moments in planar structural systems (trusses and frame structures)
    • Apply principle of virtual work (using virtual forces) to find displacements/rotations in structures.
    • Analyze beams and frame structures using direct stiffness method
  •  Relationship of course to program outcomes
    • Outcome 1: An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics.
    • Outcome 5: An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives.

Topics:

  • INTRODUCTION AND REVIEW OF BASIC CONCEPTS IN STRUCTURAL ANALYSIS
    • Equilibrium conditions
    • Statical determinacy/indeterminacy
    • Kinematic indeterminacy (degree of freedom)
  • APPROXIMATE METHODS IN STRUCTURAL ANALYSIS
    • Trusses
    • Moment-frame building systems under vertical loads
    • Moment-frame building systems: portal method and cantilever method
  • WORK-ENERGY METHODS IN STRUCTURAL ANALYSIS
    • Conservative systems
    • Strain energy due to axial, bending, shear, torsional forces and deformation
    • Using real work to find real deflection
  • VIRTUAL WORK METHODS IN STRUCTURAL ANALYSIS
    • Using virtual forces to find real deflections
    • Deflections due to temperature changes, member misfits, settlements
    • Betti’s law & Maxwell’s law of reciprocal deflections
  • DISPLACEMENT METHOD (STIFFNESS METHOD) OF STRUCTURAL ANALYSIS
    • Truss element; beam element; frame element
    • Stiffness influence coefficients
    • Local coordinates versus global coordinates; coordinate transformations
    • Fixed end forces/moments
    • Formation of the global analysis equations
    • General assembly procedure
    • Direct stiffness analysis of planar truss systems, frame systems
    • Computer implementation (introduction to structural analysis software)