CE 329 Structural Analysis

1. CE 329Structural Analysis Spring 2005

2. Objectives― General • List Course Objectives • Describe Topical Coverage for Class • Provide the Formula for Computing your Course Grade • Meet somebody new!

3. Objectives― Analysis Fundamentals • Define the role of analysis in the design of structures • List the equations of equilibrium for a planar structure • Computethe resultantand centroid for a system of forces acting on a structure

4. Objectives― Analysis of Planar, Statically Determinate Structures • Draw free body diagrams (FBD’s) for idealized support conditions • Solve for support reactions using equilibrium equations • Define the Principle of Superposition and list the assumptions needed for it to be valid • Compute the response of a structure with inclined supports and/or forces acting at an angle other than perpendicular to the axis of a member

5. Objectives― Analysis of Planar, Statically Determinate Structures • Assess whether a structure is externally stable or unstable • Identify whether a structure is statically determinate or indeterminate • Compute the degree of indeterminacy for statically indeterminate structures

6. Objectives― Truss Analysis • Summarize the assumptions used to analyze trusses • Compute the determinacy of a planar truss • Determine truss member forces using the method of joints • Identifyzero force members

7. Objectives― Truss Analysis • Compute truss member forces using the method of sections • Recognize which analysis method is appropriate for a given truss analysis problem

8. Objectives― Beam Analysis • Compute internal axial force, shear force, and bending moment distributions in beams • Draw axial force, shear force, and bending moment diagrams for general beam loading and support conditions • Develop mathematical relationship between shear and moment along the length of a beam • Calculateinflection points on a moment diagram

9. Objectives― Frame Analysis • Draw axial force, shear force, and bending moment diagrams for general loading and support conditions for a frame

10. Objectives― Deflections • Derive theMoment-Area Theorems • Computebeam deflections using moment-area principles • List the assumptions and limitations of using the moment-area theorems to compute deflections

11. Objectives― Deflections • Computedeflections/rotations for structures with overhangs, hinges, and/or changes in stiffness using the moment-area theorems • Apply the moment-area theorems to compute deflections/rotations in frames

12. Objectives― Deflections • Deriveexpressions that relate external virtual work to internal virtual work • Calculate displacements and/or rotations using the “unit dummy load method” (i.e., virtual work principles) • Evaluate virtual work integrals using a graphical procedure

13. Objectives― Deflections • Calculate displacements in beams using the “unit dummy load method” (i.e., virtual work principles) • Calculate displacements in frames using the “unit dummy load method” (i.e., virtual work principles)

14. Objectives― Deflections • Calculate displacements in trusses using the “unit dummy load method” (i.e., virtual work principles) • Compute truss displacements accounting for initial imperfections and thermal effects

15. Objectives― Statically Indeterminate Structures • Explain why statically indeterminate structures are used for most applications • Summarize different analysis approaches used to compute the response of statically indeterminate structures • Apply the Flexibility (Force) Method to compute reactions and internal forces in statically indeterminate structures.

16. Objectives― Statically Indeterminate Structures (Flexibility Method) • Defineflexibility coefficient, redundant, primary structure • Describe the procedure for establishing equations of compatibility

17. Objectives― Statically Indeterminate Structures (Flexibility Method) • Apply the Flexibility (Force) Method to compute reactions and internal forces in statically indeterminate trusses • Distinguish between trusses that are statically indeterminate internally versus externally

18. Objectives― Statically Indeterminate Structures (Flexibility Method) • Analyze statically indeterminate structures that are subjected to support settlements • Analyze statically indeterminate trusses that are subjected to thermal effects and/or initial imperfections (i.e., fabrication errors)

19. Objectives― Statically Indeterminate Structures (Moment Distribution) • Compare/Contrast static indeterminacy and kinematic indeterminacy • Analyze statically indeterminate structures using the method of Moment Distribution • Define the following terms: • Member Stiffness Factor • Fixed End Moment • Carry-Over Factor • Degree of Freedom • Distribution Factor

20. Objectives― Statically Indeterminate Structures (Moment Distribution) • Analyze statically indeterminate structures with simple supports and/or overhangs using the method of Moment Distribution • Utilize modified stiffness coefficients to analyze structures with simple supports at their ends • Apply the method of moment distribution to analyze frames that cannot sway

21. Objectives― Influence Lines • Describe what Influence Lines represent • Construct influence lines for statically determinate structures • Determine the positioning of a moving live load to produce the maximum value for a reaction, shear, or moment at a given location

22. Objectives― Influence Lines • Construct influence lines for statically determinate structures qualitatively (i.e., without setting up equilibrium equations) using the Muller-Breslau Principle

23. Objectives― Influence Lines • Determine the maximum effect (shear, moment, or reaction) at a point due to a series of concentrated loads