Spring 2009 Syllabus

• Academic Integrity
• Policy for Short-Term Illness Notification

Reading for Martin Luther King Day

• The King Center
• The Martin Luther King Jr. Papers Project at Stanford University
• Letter from a Birmingham Jail, Rev. Dr. Martin Luther King, Jr., April 16, 1963
• Acceptance Speech at the 1964 Nobel Peace Prize Ceremony, Rev. Dr. Martin Luther King, Jr., December 10, 1964

Assignments

• Homework 2 (due 1/30/2009): Concepts of Design and Optimization.
• Project 1 (due 2/6/2009): Optimize a statically determinate truss.
• Homework 3 (due 2/13/2009): Real Work.
• Homework 4 (due 2/20/2009): Castigliano's Theorems and superposition.
• Homework 5 (due 2/27/2009): structural analysis as quadratic programming.
• Project 2 (due 3/6/2009): Optimize an indeterminate structural system for topology and component sections.
• Project 3 (due 4/1/2009): Design a stock trading policy.
• Project 4 (due 4/10/2009): Drinking Water Supply and Treatment..
• Homework 6 (due 4/18/2009): structural dynamics.
• Project 5 (due 4/22/2008): Collapse-Sensitive Structure Subjected to Earthquake Loads.

Course Notes

• Links to some Matlab tutorials
• Review of Matrix Math
  
• Introductory Example of Uncertainty, Design, and Optimization
  
• The Three Moment Equation
  
• three_moment.m Matlab code to analyze a continuous beams using the three moment equation.
• Strain Energy in Elastic Solids
• Carlo Alberto Castigliano
• Theorems of Castigliano
• Summary of the Theorems of Castigliano
• Four Strain Energy Concepts in Pictures
• Minimum Total Potential Energy, Quadratic Programming, and Lagrange Multipliers
• Introduction to the Principle of Virtual Work
• The Principle of Virtual Work
• Temperature Effects and Virtual Work
• Summary of The Principle of Virtual Work
• Theorems of Maxwell, Betti, and Castigliano
• Plastic Analysis of Beams
• Upper-Bound, Lower-Bound and Uniqueness Theorems
• MP.m Matlab code to calculate the elastic-plastic moment-curvature and force-deflection relation of a beam
• Linear SDOF Structural Dynamics: Free and Forced Response
• Nonlinear SDOF Structural Dynamics: Matlab/Simulink Demo's Matlab code

Codes For Optimization

• ossrs.m and old_sqp.m - Two methods to minimize a function of several parameters subject to a vector of inequality constraints,
  minimize f(p) such that g(p) < 0.
  f is a scalar objective function, p is a vector of paramters, and g is a vector of constraints.
• optim_options.m is needed for ossrs.m and old_sqp.m
• numhess.m numerically computes the Hessian of a function of several parameters.

Codes For Generating Random Variables

• mylognrnd.m generates samples from a log-normal distribution.
• mypoissrnd.m generates samples from a Poisson distribution.
• myexprnd.m generates samples from an exponential distribution.

Reading and Resources

• Optimization

  • 'The Optimization Tree' Argonne National Labs
  • An Optimized Step Size Random Search (OSSRS), Sheela, B.V., Computer Methods in Applied Mechanics and Engineering, 19 (1979): 99-106.
  • Adaptive Step Size Random Search, Schumer, M.A. and Steiglitz, K., IEEE Transactions on Automatic Control, AC-13, No. 3 (1968): 270-276.
  • Evaluation of Adaptive Step Size Random Search, White, L.J. and Day, R.G., IEEE Transactions on Automatic Control, AC-16, No. 5 (1971): 475-478.
  • Valuation of some Random Search Methods, Ugray, C., Optimization, 10(1) (1979): 57-65
  • Introduction to Analyses of Adaptive Stochastic Search Methods for Global Optimization, by Zelda B. Zabinsky, University of Washington
  • A General-Purpose Global Optimizer: Implementation and Applications, Pronzato, L., and Walter, E., Mathematics and Computers in Simulation XXVI (1984): 412-422.
  • Nonlinear Programming, Becerra, Victor M., University of Reading
  • Numerical Optimization, Ascher, Uri M., University of British Columbia
  • Matlab Optimization Toolbox, The MathWorks.
  • Sequential quadratic programming, Boggs, P.T., Acta Numerica, (1995): 1-51.

• Uncertainty Analysis

  • For Today’s Graduate, Just One Word: Statistics, Steve Lohr, New York Times, August 5, 2009.
  • Introduction to Probability and Statistics, John Walker, Fourmilab, Switzerland.
  • Uncertainty in Probabilistic Risk Assessment, A.R. Daneshkhah, University of Sheffield, UK (2004).
  • Aleatory and Epistemic Uncertainty Quantification for Engineering Applications, L.P. Swiler, A.A. Giunta, Sandia labs.
  • Uncertainty Modeling and Analysis in Civil Engineering, Bilal M. Ayyub, CRC Press, 1997.
  • Quantitative Analysis of Variability and Uncertainty in Energy and Environmental Systems H.C. Frey, N.C. State University.
  • Engineering Design Reliability, Efstratios Nikolaidis, Dan M. Ghiocel, Suren Singhal, CRC Press, (2004)
  • Uncertainty in Structural Engineering, William M. Bulleit, Practice Periodical on Structural Design and Construction, ASCE, 13(1): 24-30. (2008)
  • Dealing with Uncertainty: From Health Risk Assessment to Environmental Decision Making, Louis A. Cox, Jr. and Paolo F. Ricci, Journal of Energy Engineering, ASCE, 118(2): 77-94. (1992)
  • Superfund Decision Analysis in the Presence of Uncertainty, Aaron A. Jennings, Neel Mehta, and Sumeet Mohan, Journal of Environmental Engineering, ASCE, 120(5): 1132-1150. (1994)
  • A review of Textbooks on Reliability and Structural Safety Andrzej S. Nowak, 2004.
    
  • Introduction to Randomness and Random Numbers (random.org)

• Solid Mechanics Review, References, and Software

  • MecMovies: Review of Solid Mechanics
  • MDSolids: Educational Software for Mechanics of Materials from the University of Alberta
  • Mechanics of Solids from the University of Sydney
  • Examples of Truss Types
  • truss_plot.m Plot a truss configuration.
  • On-line (Java) Structural Analysis Software from Dr. D.J.Rao
  • Beam-bending Java Applet from Virginia-Tech
  • On-Line Bridge-Design applet from Johns Hopkins University
  • MS-Windows Truss Analysis Software from Method Computing
  • Cross section relationships for Wide-Flange Sections

• Prestressed Concrete Beam Design

  • T.Y. Lin
    

• Water Supply and Treatment System

  • RDU Airport Rainfall statistics, WRAL weather
  • The Spatial Distribution of Torrential Rain in the U.S. Southeast Florida Climate Center, Florida State University.
  • Little River Reservoir and Lake Michie Elevations, City of Durham, NC.
  • Water Supply and Treatment, City of Durham, NC.
  • Annual Water Quality Reports, City of Durham, NC.
  • The Story of Drinking Water, City of Durham, NC.
  • Falls Lake Data, USGS
  • Falls Lake Data, US Army Corps of Engineers
  • Average Daily Water Use in North Carolina Cities, by week, North Carolina Department of Environment and Natural Resources
  • The Future of Water in North Carolina, Strategies for Sustaining Clean and Abundant Water, Conference Report, August 2007.
  • Comparison of Methods Used to Estimate Lake Evaporation for a Water Budget of Lake Sminole, Southwestern Georgia and Northwestern Florida, by Melinda S. Mosner and Brnet T. Aulenbach
  • Evaporatoin Rates, by David Cook, Argonne National Labs
  • Rain Water Solutions, Inc., Raleigh, NC

• Structural Dynamics and Vibration Response

  • Vibration Response Plotter from Dr. D.J.Rao
  • Structural Dynamic Vibrations Prof. B.J. Stone, University of Western Australia
    
  • Frequency Response Functions from Dr. C.W.deSilva
  • Acoustics and Vibrations Animations, Dr. Dan Russel, Kettering University
  • Nonlinear SDOF Structural Dynamics: Experimental Data (2008):
    16apr08.zip | 17apr08.zip | 18apr08.zip

• Miscellaneous

  • 2006 ASCE Carolina's Conferecne Balsa Bridge Competition Rules
  • Example Balsa Bridge Rules 1
  • Example Balsa Bridge Rules 2
  • Dutch-style Bascule Bridge
    
  • A Famous Dutch Bascule Bridge
    
  • American College and University Presidents Climate Commitment

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