Course Outline MECH 262-001

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MECH 261/262 – (STATISTICS AND)

MEASUREMENT LABORATORY

Course Syllabus

Winter 2012

Prof. Xinyu Liu

Concept Map

This diagram depicts how the main concepts of this course are interrelated.

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MECH 261/262 – (STATISTICS AND) MEASUREMENT LABORATORY

Winter 2012

Instructor: Prof. Xinyu Liu

Office: Room 155, Macdonald Engineering Building

Phone: 514-398-1526

Email: All email for this course will be conducted through WebCT. I should

respond within 48 hours during the week and will not be connected over the

weekend.

Office hours: Monday, 1:00-2:00 pm

In the event of conference travels, etc., I may have to cancel or adjust the time

of some office hours.

Please request an appointment if you would like to meet at a different

time.

Lectures: Monday, Wednesday, and Friday: 11:35-12:25am

Location: Room 13, McConnell Engineering Building (may be changed if the

enrollment exceeds the room capacity)

Lectures on Jan. 9–Mar. 12 are for both MECH 261 and 262 students, and

will cover measurement theory and devices.

Lectures on Mar. 14–Apr. 13 are for MECH 262 students, and will discuss

statistics and data analysis. MECH 261 students are welcome to attend.

The last lecture on Apr. 16 is for both MECH 261 and 262 students, and will

summary the course contents.

Laboratory Superintendent:

Mario Iacobaccio ([email protected])

TAs:

Practice problems, midterms, and gradebook:

Sean Salusbury ([email protected])

Office hours: Wednesday 1:00-2:00pm in room MD 255

Laboratory supervision and grading laboratory reports:

To be announced

Course

webpage:

WebCT will be used to disseminate all class material, and internet access is

required. All registered students have access via http://www.mcgill.ca/webct

TEXTBOOK

The following textbook is required for this course:

Introduction to Engineering Experimentation, Third Edition by A. J. Wheeler and A. R. Ganji, Pearson Education.

Students in Mech 262 may also wish to consult other references on basic statistics, such as:

Mathematical Statistics and Data Analysis

by J. A. Rice, Wadsworth & Brooks, 1988

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COURSE DESCRIPTION

In this course, we will discuss how basic engineering quantities, such as temperature, velocity,

pressure, force, and strain, are measured using different devices. We’ll look at the physics of

how such measurement devices work, and how computers convert electrical signals (current or

voltage) from such devices into digital data. You will learn how the uncertainty in individual

measurements affects the uncertainty in a quantity derived from multiple measurements.

Students in MECH 262 will also have the opportunity to learn some basic concepts from

statistics, as well as how to find the optimum curve that describes a set of data.

LEARNING OBJECTIVES

You are expected to learn the following by the end of the course:

Measurement Devices

• The principle of operation for devices that measure pressure, temperature, force, etc.

Data Acquisition

• How computerized data acquisition systems operate

• How the sampling rate affects the ability to resolve time-varying signals

• How the measurement system will respond to a time-varying signal

Students enrolled in MECH 262 are also expected to learn:

Statistics and Uncertainty Analysis

• What a random variable is and the types of distributions to model random variables

• How to estimate properties of a random variable such as the mean and standard deviation

• How to fit a curve to a set of data

• How to estimate the uncertainty in a result based on the uncertainty in the measurements

MCGILL POLICY STATEMENTS

Academic Integrity

McGill University values academic integrity. Therefore, all students must understand

the meaning and consequences of cheating, plagiarism and other academic offences

under the Code of Student Conduct and Disciplinary Procedures (see

www.mcgill.ca/students/srr/ honest/ for more information).

Right to Submit Graded Work in English or French

In accord with McGill University’s Charter of Students’ Rights, students in this course

have the right to submit in English or in French any written work that is to be graded.

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COURSE FORMAT

This course relies on two methods of instruction and evaluation:

• Classroom instruction and textbook readings designed so that you learn the important

concepts. These will be evaluated through the Midterm and Final Exams.

• Laboratories performed in groups of 2 that give you “hands on” experience in working

with different measurement devices and digital data acquisition systems.

You are encouraged to engage in discussions regarding class topics and the laboratories in class,

after class, and through the WebCT discussion board.

EVALUATION METHODS

Percentage of Final Grade

Laboratory Reports 30%

WebCT Quizzes 5%

Midterm Exam 15%

Final Exam 50%

Note: A student must achieve a minimum score of 50% in both the Laboratory Reports

and the Final Exam in order to pass this course. No exceptions. Students with less than 50%

in either the Final Exam or Laboratory Reports will be given a D grade (conditional pass),

or an F if their overall grade for the entire course is below 50%.

Laboratory Reports

There are nine laboratory experiments that each student must complete in their group of two. The

laboratory experiments will be completed in the Measurement Lab, Room 51 of the Macdonald

Engineering Building (MD51).

Week of Jan. 23–27: All students must sign up for a group number (groups of two) with Mario

Iacobaccio in MD51.

Week of Jan. 30–Feb. 3: Each group must sign up for a time slot for Lab #1, which will be

completed the following week. Labs are available from 9am-5pm Tuesday to Friday.

Each group must turn in a laboratory report by the following Monday at 11:59pm. Thus,

students who do labs on Tuesday have longer to complete the report than those who wait until

Friday. The schedule of the labs by week is listed in the provisional course schedule. You may

discuss the laboratory experiments with your colleagues in person or via WebCT, but it is

expected that the reports will be completed independently in your group. This is for your

learning benefit.

Examinations

Midterm and final examinations will be closed book, with only faculty-standard calculators

allowed. The exams will consist of questions to test your knowledge of the basic concepts, as

well as numerical problems that test your ability to apply these concepts.

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MIDTERM EXAM DATE

The midterm examination for this course will be held on Feb. 27. This date is tentative and may

be adjusted if necessary.

MEASUREMENT LABORATORY RULES

Note: The McGill Code of Conduct also applies. The following rules supplement this code and

do not replace it.

• One laboratory report is required per group.

• Have a TA Sign you in to the lab when you arrive. Any groups that have not been signed

in by the TA will receive a grade of zero for the lab.

• Be respectful to others working in the lab and keep the noise level down.

• Use the equipment with respect.

• Do not leave garbage lying around. Keep your area clean.

• No coats and/or bags are permitted on the workbenches.

• Drinking and eating are strictly prohibited in the laboratory.

• Computer accounts are personal and must not be shared.

• Use only your McGill University email account.

• Illegal software copying is not permitted on the premises.

• You are responsible for what happens on the computer while you are logged in.

• Logoff of the computers when you are finished.

To use the computer:

The Username is your [email protected], and the password to login will be

your DAS\E-mail password.

PROVISIONAL LABORATORY SCHEDULE

Week Dates Laboratory

5 Feb. 6–10 1. Equipment overview

6 Feb. 13–17 2. Introduction to the DAQ system and LabVIEW

7* Feb. 20–24 — Study Break; no laboratory

8 Feb. 27–Mar. 2 3. The thermocouple: manufacture and calibration

9 Mar. 5–9 4. The time constant

10 Mar. 12–16 5. Stress and strain

11 Mar. 19–23 6. Active-RC filters

12 Mar. 26–30 7. Transducer sensitivity and linearity

13 Apr. 2–6* 8. Pressure transducer calibration and jet profile measurement

14 Apr. 9*–13 9. Discrete sampling of time-varying signals

*Note: No laboratory will be scheduled on Feb. 20–24 (Study Break), Apr. 6 (Good Friday), and

Apr. 9 (Easter Day).

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PROVISIONAL COURSE SCHEDULE

MECH 261 & 262: Measurement Theory and Devices

Dates Topic Textbook

Chapters

Jan. 9 Introduction 1

Jan. 11, 13 Unit, calibration, and measurements 2, 12

Jan. 16, 18 Electrical signals and circuit analysis 3

Jan. 20, 23 Op-amps 4

Jan. 25, 27 Computerized data acquisition 4

Jan. 30, Feb. 1 Temperature 9

Feb. 3, 6 Time varying signals – 1st order linear systems 11

Feb. 8, 10 Stress and strain 8

Feb. 13, 15 Force, torque and solid velocities 8

*Feb. 17, 27 Pressure (Midterm Exam: Feb. 27) 9

Feb. 29, Mar. 2 Fluid velocities 10

Mar. 5, 7 Time varying signals – 2nd

order linear systems 11

Mar. 9, 12 Sampling theorem 5

Apr. 16 Course Summary —

*Note: Classes are cancelled on Feb. 20, 22, 24 (Study Break week).

MECH262: Statistics and Data Analysis

Dates Topic Textbook

Chapters

Mar. 14 Statistics and probability 6.1–6.3

Mar. 16 Random variables 6.2

Mar. 19 Binomial and Poisson distributions 6.3

Mar. 21 Law of large numbers 6.3

Mar. 23 The Normal distribution and central limit theorem 6.3

Mar. 26 Expected values, estimators and population parameters 6.4, 7.3

Mar. 28 Student’s t-distribution and the χ² distribution 6.5

Mar. 30 Confidence intervals 6.5

Apr. 2, 4 Linear regression analysis and curve fitting 6.6

Apr. 6* Good Friday; no lecture —

Apr. 9* Easter Day; no lecture —

Apr. 11 Uncertainty analysis and error propagation 7.1–7.6

Apr. 13 Systematic and random components of uncertainty 7.3–7.4

Apr. 16 Course Summary —

*Note: Classes are cancelled on Apr. 6 (Good Friday) and Apr. 9 (Easter Day).

Course Outline MECH 262-001

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