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MECH 203 – End-of-semester Project

You are required to complete the project on your own, without any

collaboration or assistance from others, other than the instructors and teaching

assistants.

You must submit a signed statement which clearly states that

the work that you submitted is entirely your own.

Due date:

Design Project Final (Due Friday, April 4, 11:59PM)

Grading & Weight: This assignment is out of 23.5 marks, as further specified in the mark breakdown for

each question, and in the rubric below. The assignment is worth 23.5 marks your overall final grade in

the course (out of a total of 85).

Late Penalty: Late submissions will be penalized at 10% each day for up to 5 days, in which case a grade

of zero will be given.

1. Overview

The goal of this assignment is for you to demonstrate your mathematical and computational method skills in an

applied context by designing a model for an idealized structure. Your assessment will be based on the following, as

further specified in the rubric below:

Physics model soundness

Statistical analysis

Local optimization

Vibrational analysis

Probabilistic assessment of building response

Soundness of design objectives (cost, resilience, architectural qualities, etc.)

Quality of Code

Readability

Overall scope of the project

This assignment directly aligns with the following Course Learning Outcomes (CLOs):

CLO 1: Solve systems of linear equation analytically and numerically with Python

CLO 2: Explain random processes, including Gaussian, Poisson and binomial

CLO 3: Analyze random processes, including Gaussian, Poisson and binomial

CLO 4: Apply various interpolation and fitting methods using Python and discuss numerical

errors

CLO 5: Explain local optimization algorithms

CLO 6: Apply local optimization methods, coding in Python

1.1 Time for completion

This assignment will take approximately 16 hours to complete (8 hours per week). You are required

to complete the project on your own, without any collaboration or assistance from

others, other than the instructors and teaching assistants.

The time constraint of the project is important: in many engineering work environments, you can

only bill a certain number of hours to a certain client/project. This project is similar: limit

yourselves to the prescribed number of hours, and deliver the best modelling project that you can

produce during that timeframe.

1.2 Instructions

You are provided with two documents that provided instructions and data to help get you

started.

The first two parts of the project are similar to a standard Jupyter Notebook assignment:

you are given data, you analyze it, and you implement a computer model that uses it, based

on a relatively simple example. These two parts are there to help you get started, but are

not graded per se.

Afterwards, it’s up to you! You decide what structure you will design, what design objectives

you will include, and which analyses you will prioritize. In part I and II, you are given a basic

framework and dataset to get started. It’s up to you to decide in which direction you want

to go. It’s an opportunity to demonstrate your creativity, curiosity, and modelling, software

development, and computational skills.

You will submit a PDF report (4.5-5 pages) containing the following sections:

o Introduction (~0.25 page)

o Design objectives (~0.5 page)

o Computational Methods and Model (~2 pages)

o Computational Results and Analysis (~2 pages)

o Conclusions (~0.25 page)

You will attach a Jupyter notebook containing your code and model output.

Attached, there is an article by Konstantinos Keremides et. al. ; some ideas of this project

are based upon it. Feel free to use it for inspiration. Take note, however, that the scope of

that paper is well-beyond what we are expecting of your two weeks of modelling. The article

is the result of one year of work of a first-year graduate student (albeit that student took a

few courses at the same time); you should view it as a source of inspiration and motivation.

Your assignment will be evaluated using the following criterion and weights (out of a total of 23.5 marks):

Criteria Mastery High Quality Developing Marginal Not Demonstrated

Statistical Analysis 2.5 2 1.5 1 0

Soundness of

physical model

2 1.75 1.5 1 0

Local Optimization 2.5 2 1.5 1 0

Vibrational analysis 2 1.75 1.5 1 0

(eigenvalues/vectors)

Probabilistic

assessment of

structure response

2 1.75 1.5 1 0

Soundness of Design

Objectives

2 1.75 1.5 1 0

Quality of Code 2 1.75 1.5 1 0

Illustrations, graph

and/or movies

2 1.75 1.5 1 0

Readability of report 2 1.75 1.5 1 0

Overall Scope of the

Project

4.5 3.5 2.5 1.5 0

1.3 Ideas for you

Use various materials, based on data from the literature

Add rotational springs to capture bending/connections

Model a 3-D structure.

Evaluate effect of variation of structural material’s properties on vibrational properties

Evaluate response to a shear load.

Find the lightest/cheapest structure that can support a given load.

Design a bridge/house/car/rocket/prosthetics.

Evaluate (maybe using a bootstrap method), how changing the material’s properties (spring

constant, equilibrium length, etc.) changes its resilience.

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