CE 37100 – Structural Analysis I

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: Stress resultants (reactions, axial forces, shear forces, and bending moments) for beams and framed structures. Deflections of beams and frames by geometric methods (moment-area theorems and applications; conjugate beam analogy). Analysis of statically indeterminate beams and frames by classical stiffness methods; slope deflection and moment distribution. Influence functions and their applications.
  • Prerequisites: CE 27000 or equivalent with minimum Grade of C-
  • Course status: Required course

Specific Goals for the course:

  • Student learning outcomes - Upon successful completion of this course the student shall be able to:
    • analyze beam and framed structures and determine the reaction forces and determine internal shear and ending moment values
    • determine the deflection of beam and frame structures using two fundamental geometric methods: the moment-area method and the conjugate beam analogy
    • analyze statically indeterminate beam and framed structures by classical stiffness methods
    • analyze indeterminate structures using the slope-deflection method
    • analyze indeterminate structures using the moment distribution method
    • analyze the influence functions for a beam or framed structures
    • calculate maximum loading effects using influence ordinate relationships
  •  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:

  • REVIEW OF STRUCTURAL MECHNICS
    • Reactions of beam and frame structures and internal forces required for equilibrium
  • DEFLECTION OF BEAM AND FRAME STRUCTURES
    • Review curvature concepts and determine the deflection of beam and frame structures using the Moment-Area and Conjugate Beam Analogy methods.
  • STIFFNESS METHODS TO ANALYZE INDETERMINATE STRUCTURES
    • Introduction to use of basic stiffness methods to evaluate statically indeterminate beam and frame structures. Introduction to the use of superposition techniques and consistent displacements.
  • SLOPE-DEFLECTION FOR STATICALLY INDETERMINATE STRUCTURES
    • Solution of reaction forces in statically indeterminate beam and frame structures by using the slope-deflection method. Sketching of shear and bending moment diagrams and deflected shapes used for design.
  • MOMENT DISTRIBUTION FOR STATICALLY INDETERMINATE STRUCTURES
    • Solution of reaction forces in statically indeterminate beam and frame structures by using the moment distribution method. Sketching of shear and bending moment diagrams and deflected shapes used for design.
  • INFLUENCE LINES
    • Develop and draw influence lines for beam and framed structures. Introduce the Muller Breslau Principle for developing simple influence relationships of determine and statically, compound, and indeterminate structures.
  • EVALUATION OF MAXIMUM LOADINGS
    • Use influence lines to analyze structures for the maximum load effects for particular influence functions. Examine multiple axle loadings placed for critical effect on a structure.