Jean-Daniel Saphores, Ph.D.
Office: AIRB room 4028; [email protected]
TA: Kevin Wang; [email protected]
Winter 2016
CEE 111 METHODS IV: SYSTEMS ANALYSIS AND DECISION MAKING
Homework 1
Due Friday, January 22, 2016 at 5 PM in the Gateway box for CEE111
Problem 1 (
CEE111
Practice Design Exercise 9
Construction Project Management
Solution
A construction project comprises a total of 14 activities (labeled as 1-2, 1-3, 1-8, 2-7, 3-4, 3-6, 45, 4-6, 5-10, 6-7, 6-9, 7-8, 8-10, 9-10) , with respective Durations, and Prede
CEE111
Practice Design Exercise 3
Design of an Open Channel
A community has commissioned you to design a flood channel to carry runoff during the
rainy season from higher elevations neighboring the community. The channel must be
able to accommodate a m
NAME_
STUDENT NUMBER_
CEE 111 Midterm Exam 2
Winter 2013
March 6, 2013
Closed Book, Closed Notes
Solution
Instructions: Answer all questions in the space provided. Show all work. Define all
variables used. State all assumptions. Identify and justify all
c
NAME_
STUDENT NUMBER_
CEE 111 Midterm Exam 1
Winter 2013
February 8, 2013
Closed Book, Closed Notes
Instructions: Answer all questions in the space provided. Show all work. Define all
variables used. State all assumptions. Identify and justify all constra
CEE111
Practice Design Exercise 5
Design of Refueling Station Locations for Hydrogen Fuel Cell Vehicles
Solution
The following excerpt is taken from an article that appeared in the site
www.treehugger.com
Following in the footsteps of Honda, GM wants to p
Nonlinear Analysis
Example: Design of Signalized Intersection
Continued
Solution to Nonlinear Problems by
Taylor Series Expansion
Signalization Model Solution by Tayor Series Expansion
Two-Phase Signal
1
2
3
4
5
6
7
8
Objective:
Min Z =
D
2
= 2533 5066 26
PDE3
Design of a Flood Channel
Problem Statement
A community has commissioned you to design a flood channel to carry runoff during the
rainy season from higher elevations neighboring the community. The channel must be
able to accommodate a maximum flow of
Example
Provision of Hydrogen Fuel Vehicle Infrastructure
Binary Integer Programming
Following in the footsteps of Honda, GM wants to put fuel cell vehicles (FCVs) on the
road to learn more about them from real world experience. They plan to have a
hundre
Microsoft Excel 14.0 Answer Report
Worksheet: [Book1]Sheet1
Report Created: 1/14/2013 9:53:55 AM
Result: Solver found a solution. All Constraints and optimality conditions are satisfied.
Solver Engine
Engine: GRG Nonlinear
Solution Time: 0.015 Seconds.
It
Example
Design of a Simple
Beam
Example: Design of a Simple Beam
P1
P2
A
B
5 ft
5 ft
10 ft
Problem Statement
Consider the simply supported beam shown below:
P1
P2
A
B
5 ft
5 ft
10 ft
The load-carrying capacity of supports A and B are 12 and 19 kips,
respe
Regional Water Quality Example
City 1
0
Treatment
Treatment Plant
1
1
City 2
Treatment Plant
2
City 3
2
Treatment Plant
3
City 4
3
Treatment Plant
4
4
Design of Treatment for Minimum Cost
Faced with projected growth in Cities 1, 2, and 4, the Regional Wat
Example
Provision of Hydrogen Fuel Vehicle Infrastructure
Binary Integer Programming
Following in the footsteps of Honda, GM wants to put fuel cell vehicles (FCVs) on the
road to learn more about them from real world experience. They plan to have a
hundre
CEE 111 METHODS IV: SYSTEMS
ANALYSIS AND DECISION MAKING
Some Preliminaries
Administrative Details
Course Description:
within the context of achieving the best design
CEE111 Methods IV: Systems Analysis and Decision-Making (Credit
Units: 4). Analysis and
The Role of Underspecification in
the Design Process
Some Simple Examples Involving
Linear Civil Engineering Systems
Simple Example
W1
W2
W3
Maximum Load Distribution
On a Moving Crane
Typical Structural Analysis Problem
W1
W2
W3
etermine Reactions and Fo
Geometric Interpretation of
Optimization of Constrained Linear
Systems
Example: Design of a Simple Beam
P1
P2
A
B
5 ft
5 ft
10 ft
Problem Statement
Consider the simply supported beam shown below:
P1
P2
A
B
5 ft
5 ft
10 ft
Constraints
The load-carrying cap
Geometric Interpretation of
Optimization of Constrained Linear
Systems
Example: Design of a Simple Beam
P1
P2
A
B
5 ft
5 ft
10 ft
Problem Statement
Consider the simply supported beam shown below:
P1
P2
A
B
5 ft
5 ft
10 ft
Constraints
The load-carrying cap
Microsoft Excel 14.0 Answer Report
Worksheet: [Book1]Sheet1
Report Created: 1/14/2013 9:53:55 AM
Result: Solver found a solution. All Constraints and optimality conditions are satisfied.
Solver Engine
Engine: GRG Nonlinear
Solution Time: 0.015 Seconds.
It
More Realistic Design
Problem
P
P
A
Design of a Simple
Beam for Shear,
Bending, and Deflection
B
Problem Statement
Consider the simply supported beam shown below:
P2
A
B
10 ft
10 ft
Constraints
Parameters
Decision Variables
The beam shown above must be de
Microsoft Excel 14.0 Answer Report
Report Created: 3/15/2012 9:00:55 AM
Result: Solver found a solution. All Constraints and optimality conditions are satisfied.
Solver Engine
Engine: GRG Nonlinear
Solution Time: 0.063 Seconds.
Iterations: 6 Subproblems:
Simple Example (Revisited)
W1
W2
W3
Maximum Load Distribution
On a Moving Crane
3
6
6
3
3
6
6
3
5
6
3
1
4
W1
2
W2
W3
Consider the crane shown above. The crane supports at points 5 and 6 can each support a
load of 20 kips. Cables 1 and 2 each have a load c
CEE 111 Nonlinear Example
Consider the reinforced concrete beam shown below:
b
50 ft
P = 6K
d
100 ft
2.5 in
As
Beam Cross-Section
The beam is to be designed to resist a maximum moment of M D 300 K-ft at least cost.
For simplicity, total cost can be consid