Department of Civil and Environmental Engineering
University of Illinois at Urbana-Champaign
CEE 491 Decision and Risk Analysis
Instructor: Paolo Gardoni
Homework Set 2 - Solution
Problem 1
Two reinforced concrete buildings A and B are located in a seismi
Department of Civil and Environmental Engineering
University of Illinois at Urbana-Champaign
CEE 491 - Decision and Risk Analysis
Instructor : Paolo Gardoni
Homework Set for Extra Credits
Problem 1. A traveler going from Startville to Endville has to go o
Department of Civil and Environmental Engineering
University of Illinois at Urbana-Champaign
CEE 491 - Decision and Risk Analysis
Instructor : Paolo Gardoni
Homework Set 1
Problem 1. Let A, B, and C be three arbitrary events. Find symbolic expressions for
Department of Civil and Environmental Engineering
University of Illinois at Urbana-Champaign
CEE 491 - Decision and Risk Analysis
Instructor : Paolo Gardoni
Homework Set 2
Problem 1. A bullet is red from point A towards the semi-innite line BC at a random
Department of Civil and Environmental Engineering
CEE 491 Decision and Risk Analysis
University of Illinois at Urbana-Champaign
Instructor: Paolo Gardoni
Homework Set 4 - Solution
Problem 1
Consider the site located at 50 km distance from one end of a 200
Department of Civil and Environmental Engineering
University of Illinois at Urbana-Champaign
CEE 491 - Decision and Risk Analysis
Instructor : Paolo Gardoni
Homework Set 6
Problem 1.
with CDF
Earthquake magnitudes in a region are assumed to have the shift
Department of Civil and Environmental Engineering
CEE 491 Decision and Risk Analysis
University of Illinois at Urbana-Champaign
Instructor: Paolo Gardoni
Homework Set 2 - Solution
Problem 1
A bullet is fired from point A towards the semi-infinite line BC
Department of Civil and Environmental Engineering
CEE 491 Decision and Risk Analysis
University of Illinois at Urbana-Champaign
Instructor: Paolo Gardoni
Homework Set 1 - Solution
Problem 1
Let A, B, and C be three arbitrary events. Find symbolic expressi
Department of Civil and Environmental Engineering
CEE 491 Decision and Risk Analysis
University of Illinois at Urbana-Champaign
Instructor: Paolo Gardoni
Homework Set Extra Credits - Solution
Problem 1
denotes the event that road
is open
Ri is closed
Ri i
Department of Civil and Environmental Engineering
University of Illinois at Urbana-Champaign
CEE 491 Decision and Risk Analysis
Instructor: Paolo Gardoni
Homework Set 3 - Solution
Problem 1
A bullet is fired from point A towards the semi-infinite line BC
ENG 567 Final Exam
Instructor: Sanjiv Chopra
1.
2.
3.
4.
5.
6.
This is a take home exam. You can refer to all class lecture presentations and course
readings but not the internet.
You can write the exam either individually or in your HW study group but yo
Department of Civil and Environmental Engineering
University of Illinois at Urbana-Champaign
CEE 491 Decision and Risk Analysis
Instructor: Paolo Gardoni
Homework Set 1 - Solution
Problem 1
Let A, B, and C be three arbitrary events. Find symbolic expressi
Department of Civil and Environmental Engineering
University of Illinois at Urbana-Champaign
CEE 491 - Decision and Risk Analysis
Instructor : Paolo Gardoni
Homework Set 4
Problem 1. Consider the site located at 50 km distance from one end of a 200 km lon
ENG 567 Midterm Exam
Instructor: Sanjiv Chopra
1.
2.
3.
4.
5.
6.
7.
This is a take home exam. You can refer to all class lecture presentations and course
readings but not the internet.
You can do the Homework either individually or in your HW study group.
Department of Civil and Environmental Engineering
CEE 491 Decision and Risk Analysis
University of Illinois at Urbana-Champaign
Instructor: Paolo Gardoni
Homework Set 6 - Solution
Problem 1
Earthquake magnitudes in a region are assumed to have the shifted
Department of Civil and Environmental Engineering
CEE 491 Decision and Risk Analysis
University of Illinois at Urbana-Champaign
Instructor: Paolo Gardoni
Homework Set 5 - Solution
Problem 1
A one-story building
g
with mass
M
stiffness
degreeof-freedom osc
Problem 1 (tables calculated in excel)
pY | X y | x
x
3
4
5
6
p x
0.3
0.4
0.2
0.1
E x
x!
y
x y
0.01 0.001x 0.99 0.001x ,
y ! x y !
=
2
E x X
p(x)*x
0.9
1.6
1
0.6
X
= 4.1
y 0,1,., x
0.363
0.004
0.162
0.361
var x
= 0.89
X
= 0.9434
a) Compute the joint P
Department of Civil and Environmental Engineering
University of Illinois at Urbana-Champaign
CEE 491 Decision and Risk Analysis
Instructor: Paolo Gardoni
Homework Set 4 - Solution
Problem 1
A random variable X has the mean
100 and standard deviation
(a) C
Department of Civil and Environmental Engineering
University of Illinois at Urbana-Champaign
CEE 491 Decision and Risk Analysis
Instructor: Paolo Gardoni
Homework Set 4 - Solution
Problem 1
A random variable X has the mean
100 and standard deviation
(a) C
Department of Civil and Environmental Engineering
CEE 491 Decision and Risk Analysis
University of Illinois at Urbana-Champaign
Instructor: Paolo Gardoni
Homework Set Extra Credits - Solution
Problem 1
denotes the event that road
is open
R
Ri i 1, 2,3 den
CEE 491 Decision and Risk Analysis
Syllabus
Department of Civil and Environmental Engineering
University of Illinois at Urbana-Champaign
CEE 491 Decision and Risk Analysis
Spring 2015
Instructor
Paolo Gardoni, Ph.D.
Office
3118 Newmark
Email
[email protected]
Types of uncertainties
a) Inherent variability or randomness. which is the variability naturally inherent ' f 2*
to a physical phenomenon, such as that in material properties and loads. This type of un-
certainty cannot be affected without changing the ph
CEE 491 Decision and Risk Analysis
Syllabus
Department of Civil and Environmental Engineering
University of Illinois at Urbana-Champaign
CEE 491 Decision and Risk Analysis
Fall 2017
Instructor
Paolo Gardoni, Ph.D.
Office
3118 Newmark
Email
[email protected]
Department of Civil and Environmental Engineering
CEE 491 Decision and Risk Analysis
University of Illinois at Urbana-Champaign
Instructor: Paolo Gardoni
Homework Set 3 - Solution
Problem 1
Let X denote the number of specimens that will fail out of 5 to b
Department of Civil and Environmental Engineering
University of Illinois at Urbana-Champaign
CEE 491 - Decision and Risk Analysis
Instructor : Paolo Gardoni
Homework Set 5
Problem 1. A one-story building g with mass M , stiness K, and damping C is modeled
CEE 491 Decision and Risk Analysis
Syllabus
Department of Civil and Environmental Engineering
University of Illinois at Urbana-Champaign
CEE 491 Decision and Risk Analysis
Fall 2016
Instructor
Paolo Gardoni, Ph.D.
Office
3118 Newmark
Email
[email protected]