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: CCE 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.
