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CE 329 Structural Analysis Spring 2005

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

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Objectives ― Analysis Fundamentals Define the role of analysis in the design of structures List the equations of equilibrium for a planar structure Compute the resultant and centroid for a system of forces acting on a structure

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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

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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

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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 Identify zero force members

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

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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 Calculate inflection points on a moment diagram

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

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Objectives ― Deflections Derive the Moment-Area Theorems Compute beam deflections using moment- area principles List the assumptions and limitations of using the moment-area theorems to compute deflections

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Objectives ― Deflections Compute deflections/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

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Objectives ― Deflections Derive expressions 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

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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)

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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

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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.

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Objectives ― Statically Indeterminate Structures (Flexibility Method) Define flexibility coefficient, redundant, primary structure Describe the procedure for establishing equations of compatibility

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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

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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)

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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

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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

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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

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

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

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Main Steps of Beam Bending Analysis Step 1 – Find Reactions at External Supports –Free Body Diagram (FBD) of Entire Beam –Equations of Force and Moment.

Main Steps of Beam Bending Analysis Step 1 – Find Reactions at External Supports –Free Body Diagram (FBD) of Entire Beam –Equations of Force and Moment.

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