CE 474 Structural Analysis II

Welcome to the CE474 website.

CONTACT INFORMATION

• Instructor: Ayhan Irfanoglu (ayhan@purdue.edu); CIVL4117; (765) 49-68270

•  Teaching Assistant: TBA

Course Information

• Syllabus

• Classroom meetings: MWF 1:30-2:20pm in HAMP 1144

• Office hours:

  • Instructor: TBA

  • TA: TBA

• Problem-solving sessions:

  • TBD

• Exam schedule:

• Term Exam #1: TBD

• Term Exam #2: TBD

• Final Exam: TBA

Homeworks

• Homework 0

Handouts

• Approximate analysis of beams under gravity loads (example)

• Beam end moment variation under gravity loads

• Comparing exact vs. portal vs. cantilever methods of approximate analysis results

• Example of portal vs. cantilever methods of analysis

• Maxwell's and Betti's theorems

• Theorem of least work and Castigliano's theorems

• Graphical integration (convolution) table

• Virtual work -- temperature change and defect (length mismatch) examples

• Virtual work -- camber due to temperature gradient [extra handout]

• Application of principle of virtual work to solve a statically indeterminate truss for forces (using flexibility method)

• Application of principle of virtual work to find displacements in statically indeterminate structures; truss example

• Ultimate state analysis using virtual displacements

• Introduction to displacement method of analysis

• Planar frame element stiffness coefficients derivation and expressions for member deflected shape (shape functions related to member end transverse displacements and rotations)

• Stiffness matrices for planar frame, beam, and truss elements

• Using stiffness method in the presence of internodal loading (additional examples; more examples)

• Fixed end moments and forces

• Stiffness matrix assembly process

• Transformation of coordinates (examples)

• Effects of axial forces on flexural stiffness [extra handout]

• Stiffness of beam with rigid end zones [extra handout]

• Stiffness of planar shearwalls [extra handout]

• ALL OF THE ABOVE HANDOUTS IN A SINGLE ZIP FILE

• SAP2000 handout and limited duration educational version of the software (warning: 600MB file)

Supporting Documents

• Example application of portal method and cantilever method of approximate analysis

• Truss examples

• Beam examples #1

• Beam examples #2

• On deflected shapes

• Simply supported beam shear + bending moment diagram examples

• Beam shear and bending moment diagrams for various loading cases (by NDS)

   

• Sample problems (exam 1)

• Sample problems (exam 2)

• Sample problems (final exam)

• Unit load method for singly-redundant beams

• Application of virtual force method to find displacement in a statically indeterminate beam

• Application of virtual force method to find displacement in a statically indeterminate truss

• Theorem of Least Work (Castigliano's theorems)

• On the Method of Complementary Energy by Westergaard (1942)

• Energy-based Design of Lateral Systems by Baker

• Geometrical aspects of optimum truss like structures by Mazurek, Baker, and Tort

• Plastic analysis - continuous beams

• Integration Chart

• Fixed-End Moments and Forces

• Element Stiffness Matrices (for beam, frame, and truss elements) in local and transformed coordinates

• Matrix Operations - A Review

• Stiffness Method - Two Examples

   

• On Hardy Cross

• Essays by Hardy Cross

• On Virtual Work (Geometry of Deformations) by Cross

• On Analysis and Design by Cross

• The Column Analogy by Cross

• Remembering the Column Analogy by Sozen -- on the column analogy approach developed by Cross to find fixed-end moments of single-span beams

• Original "moment distribution method" paper

• The collection of classnotes on Statically Indeterminate Structures by Cross and Morgan

• Lecture notes of the last course taught by Hardy Cross (co-taught with Prof. Brennan)

   

Useful Documents, Programs, Websites

• Approximating lateral stiffness of stories in elastic frames by Schultz (1992)
• Slope-deflection method: report by Wilson, Richart, and Weiss (1918) from the U of I IDEALS
• Numerical procedure for computing deflections, moments, and buckling loads, by Newmark (1942)

• PocketStatics -- for MS Windows and PocketPC (get the trial version and play; see the instructor for extended use registration code)

• SAP2000 v7.4 student version (55 MB zip file)

• A SAP2000 tutorial by Askan and Demirel

• GOYA - Truss and frame analysis software by Drs. Ichinose and Sozen

• The Bridge Designer software (fun to play with)

• Google SketchUp (3D modeling software -- so easy to use and it is free!)

• A typical software bug-message in the world of structural analysis/design -- not to berate the particular software company, but to give you a flavor of misses and messes. So, beware; at times, it could be worse than garbage in-garbage out.

• Reports of trial designs -- set 1 and set 2 (from Structural Engineering Institute) -- designs are not born equal

   

   

• Historical outline of matrix structural analysis by C.A. Felippa

• Degrees of freedom of plane and space frames (for FAIR USE ONLY)  -- a paper that might of interest. It is about degrees of static indeterminacy, not kinematic degrees of freedom.

• An investigation of the interaction of reinforced concrete frames with masonry filler walls by A.E. Fiorato, M.A. Sozen, and W.L. Gamble.

   

• Purdue CE Structures seminars in Spring 2019

• E-Defense (World's largest shake-table) and the test movies

 

• Free online graph/grid paper PDFs

• Purdue Emergency Preparedness and Planning

Interesting material

• Street-fighting Mathematics by Mahajan

Question: Is an exact analysis of an approximate model an approximate analysis of the exact model?

"All analyses are based on some assumptions which are not quite in accordance with the facts. From this, however, it does not follow that the conclusions of the analysis are not very close to the facts." - H. Cross.

"It is the mark of an educated mind to rest satisfied with the degree of precision which the nature of the subject admits and not seek for exactness where only an approximation is possible." - Aristotle

"One pound of learning requires ten pounds of common sense to apply it." - Persian proverb.

Dragline: Why you got to go and say fifty eggs for? Why not thirty-five or thirty-nine?
Luke: I thought it was a nice round number.

[from Cool Hand Luke.]

last update: December 2018

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