CEE 201L. Uncertainty, Design, and Optimization
Department of Civil and Environmental Engineering
Duke University
Project 1. Optimize a 2D Truss.
due: Monday, February 23, 2015
Introduction
In this project you will experience the application of numerical
Constrained Optimization Using Lagrange Multipliers
CEE 201L. Uncertainty, Design, and Optimization
Department of Civil and Environmental Engineering
Duke University
Henri P. Gavin and Jeffrey T. Scruggs
Spring, 2016
In optimal design problems, values for
Some Matrix Math
CEE 201L. Uncertainty, Design, and Optimization
Department of Civil and Environmental Engineering
Duke University
Henri P. Gavin and Jeffrey T. Scruggs
Spring, 2012
Consider column vectors x and y, both of length n, and a square n by n
ma
DUKE UNIVERSITY — Department of Civil and Environmental Engineering
CE 131: Theory of Structures ——— ‘5 *'“' p. 1 of 3
SHEAR AND MOMENT DIAGRAM -— Direct and Summation Approaches
THE DIRECT APPROACH
1. Find all the reactions.
2. Divide the member (of leng
Constrained Linear Least Squares
CEE 201L. Uncertainty, Design, and Optimization
Department of Civil and Environmental Engineering
Duke University
Henri P. Gavin
Spring, 2015
The need to fit a curve to measured data arises in all branches of science, engi
Probability Distributions
CEE 201L. Uncertainty, Design, and Optimization
Department of Civil and Environmental Engineering
Duke University
Philip Scott Harvey, Henri P. Gavin and Jeffrey T. Scruggs
Spring, 2016
1 Probability Distributions
Consider a cont
Summary of some Rules of Probability with Examples
CEE 201L. Uncertainty, Design, and Optimization
Department of Civil and Environmental Engineering
Duke University
Henri P. Gavin
Spring, 2016
Introduction
Engineering analysis involves operations on input
DUKE UNIVERSITY - School of Engineering
EGR 075 : Mechanics of Solids ~ Fall 1996 p. l of 2
EFFECTIVE BUCKLED LENGTHS and
INELASTIC BUC'KLING STRESS
ASSUMPTIONS: Equilibrium; Plane sections remain plane; M(x) = EI v"(x)
The buckled shape of a pin—ended co
Solid Mechanics Review Questions
CEE 201L. Uncertainty, Design, and Optimization
Department of Civil and Environmental Engineering
Duke University
February 10, 2016
1. Find equations and sketches of the internal bending moment, M (x), internal shear force
Project 2. Supply enough clean drinking water.
CEE 201L. Uncertainty, Design, and Optimization
Department of Civil & Environmental Engineering
Duke University
Henri P. Gavin
due: Monday, March 30, 2015
1 Stochastic Optimization
The performance of systems
Project 4. Protect Buildings and Contents from Earthquakes.
CEE 201L. Uncertainty, Design, and Optimization
Department of Civil & Environmental Engineering
Duke University
Henri P. Gavin
Due Monday, April 27, 2015
1 Objective
The objective of this assignm
Project 3. Trade stocks to make as much money as possible.
CEE 201L. Uncertainty, Design, and Optimization
Department of Civil & Environmental Engineering
Duke University
Henri P. Gavin and Steve Lattanzio, Duke CEE 07
Due Wednesday, April 8, 2015
Think b
CEE 201L. Uncertainty, Design, and Optimization
Department of Civil and Environmental Engineering
Duke University
Homework 8, due: Wednesday April 15, 2015
1. (20 points) Wile E. Coyote wants to spring o the end of a diving board onto the
Road-Runner. Of
The Nelder-Mead Algorithm in Two Dimensions
CEE 201L. Uncertainty, Design, and Optimization
Department of Civil and Environmental Engineering
Duke University
Henri P. Gavin
Spring, 2016
The Nelder-Mead algorithm provides a means of minimizing an objective