Statics

This course is at a level which gives students the background and mathematical tools to take subsequent specialty courses like Dynamics, Fluid Mechanics and Strength of Materials, etc.

For the student who wishes an overview of the subject, the topic coverage is broad enough to provide a comprehensive introduction.

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Course text and SOL:

The text for the course is

Engineering Mechanics: Statics, 11e, Hibbeler, 2007, Prentice Hall

(You might want to consider the option of buying the Statics & Dynamics package).

Other suggested textbooks are:

· Engineering Mechanics: Statics. by W.F. Riley and L.D. Sturges. Published by John Wiley and Sons, Inc., New York.

· Vector Mechanics for Engineers: Statics, by F. P. Beer and E. R. Johnson, published by McGraw-Hill.

The text is meant as a reference and for supplemental assigned reading, lecture notes will deviate in both content and approach.

In addition, we shall use the Statics on line or SOL developed by myself: www.aeromech.usyd.edu.au/statics

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Course grade determination:

Your grade in this course will be determined from your performance on homework assignments, class works (Matlab tutorials), mid-term and final examinations. Quizzes may substitute the Matlab tutorials if we can not provide enough computers to practice the tutorials.

Homework 15%

Tests 30%

Midterm Exam 25%

Final Exam 30%

[90 - 100% = A, 80 - 89% = B 70 - 79% = C 60 - 69% = D Below 60% = F]

Homework assignments will be assigned after certain modules have been completed. The format for the tests and final examination will be proctored and will be announced well before each test.

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Course content- Topic coverage:

· What is Statics?

· What you need to know from Math,

· What you need to know from Physics,

· Units of Measurement,

· Vector Components (3D),

· Statics of Particles,

· Forces and Moments,

· Equilibrium for rigid bodies,

· The analysis of trusses,

· Internal forces,

· Friction,

· Centroids and Moments of Inertia.

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Course Objectives/Outcomes:

By the end of this course you will be able to:

· Determine the components of a force in rectangular or nonrectangular coordinates.

· Determine the resultant of a system of forces and draw complete and correct free-body diagrams and write the appropriate equilibrium equations from them.

free-body-diag-1 free_body_pull

· Determine the support reactions on a structure and determine the internal reactions in a beam..

d41a1 i-beam-spacers

· Determine the connection forces in trusses and in general frame structures.

e15c1 roof-trusses

· Analyze systems that include frictional forces.

friction

· Locate the centroid of an area.

centroidef

· Calculate the mass moment of inertia and area moments of inertia.

midiat1

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All the materials for this course:

(For Practice Examples use the back button on your browser to come back to this page, not the continue button at the end of the page!)

Any use of my course materials on any other website or networked computer environment for any purpose is prohibited. The materials on this website are copyrighted and any unauthorized use of any materials may violate copyright and other laws (P&P 603). Other instructors can only use the lecture notes by permission and they should not add their names to the slides.

Part 1:

What is Statics?,

What You Need to Know from Physics, Watch this video clip

What You Need to Know from Math, Study: Dot and cross products

Ch1: Units of Measurements, Practice: Conversion Examples

Ch2: Vectors in 3 Dimensional Space, Practice: Vect1 & Vect2

Ch3: Statics of Particles, Practice: Examples

Equivalent Forces and Moments Systems:

Ch4: Part 1 Practice: Moment 1 Examples

Ch4: Part 2&3 Practice: Moment 2 Examples & Moment 3 Examples

Ch4: Part 4 Practice: Moment 4 Examples

Ch4: Part 5

Ch4: Part 8

Part 2:

Equilibrium of a Rigid Body:

Ch5: Part1 Practice: Examples

Ch5: Part 2 Practice: Equilibrium Examples- 2

Ch5: Part 3 Practice: Equilibrium Examples- 3

Ch5: Part 4 Practice: Equilibrium Examples- 4

Watch this streaming video (click on PLAY) and see how the problem is solved!

Ch6: Trusses- 1 & 2 Practice: Examples Watch this video clip and also this one

Ch6: Trusses- 3 Practice: Examples Watch this video clip

Ch6: Trusses- 4 Practice: Examples

Ch6: Trusses- 5 Practice: Examples

Ch6: Frames and Machines Practice: Study Pack (Last section)

Watch these video clips related to the trusses and see how the problems are solved:

Video Clip 1

Video Clip 2

Center of Gravity and Centroid:

Ch9: Part 1 Practice: Problems from Study Pack

Ch9: Part 2 Practice: Problem from Study Pack

Area Moment of Inertia

Ch10: Part 1 Practice: Problem from Study Pack

Ch10: Part 2 Practice: Problems from Study Pack

Ch8: Friction-1 Practice: Questions Problems from Study Pack

Ch7: Internal Forces Practice: Study Pack Solved Problems: 7-1, 7-4, 7-6, 7-8

Additional class session will be on Thursday April 3^rd at 5PM, classroom K195. Problems from Chapter 5 will be solved.

Here are some Statics flash presentations. Click on “theory” and “examples” and learn more about each subject.

CLICK here to see the Hibbeler’s study pack. Click on the chapter number on the left hand side and then work on the questions of each chapter.

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Take Home Tests:

Solve the following problems (but do not hand them to me!). These take home tests have no due dates, they are prepared for you to make you ready for the tests. Solution for each take home test will be posted on the web when we are out of that specific subject or earlier. Some of these problems are written by Prof Jose Granda.

Take home test 1 Take home test 1 solution

Take home test 2 Solutions: 1) c 2) b 3)a 4)d 5)c 6)c 7)a 8)c 9)a 10)c 11) a 12)a

Take home test 3 Take home test 3 solution

Take home test 4 Take home test 4 solution

Take home test 5 Take home test 5 solution

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Homework: (check the schedule frequently to see the corresponding dates)

· Problems are due the week after they are assigned.

· Problems will be graded only if they are written neatly.

· Cooperation on understanding and doing the homework is allowed, but the final presentation must be your own (no copying of homework).

· No late homework! There will be no extension for the due date.

· For group homework, each group brings just one homework, but all group members should learn how to solve the problems, because you are asked to come and solve it in the class. If you fail to explain the problem well, the whole group members lose few marks, and you will lose the whole mark.

· Follow the rules for presenting problem solutions written in the following section (Tests, Final Exam).

HW # 1: Solve these 5 problems. The due dates are Friday 25^th for my 1-1:50 pm class and Monday 28^th for my 6-7:15 pm class.

(Homework1 was posted here on Jan 19^th)

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HW # 2: Solve these 4 problems. The due dates are Wed 30^th for 1-1:50 pm class and Mon Feb 4^th for 6-7:15 pm class.

(Posted on Jan 24^th)

Solutions

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HW # 3: Solve problems 2-85, 2-95, and 2-130 from chapter 2 and also 3-6, 3-16 and 3-40 from chapter 3. The due date is Mon Feb 11^th. (Posted on Sat. Feb 2^nd)

Solutions: Right–click on each and save it into your computer. Therefore, you can see each solution better or you can print it according to any size that you wish:

2- 85 2-95 (page 1, page 2) 2-130 (page 1, page 2)

3- 6 3- 16 3-40

This is 2-100 solved problem for those students who want to be challenged! Try to solve this problem and see if you can get the same answers as I did.

2-100 ( page 1, page 2, page 3 )

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HW # 4: Solve problems 4-17, 4-41, 4-59, 4-79, 4-88, 4-105, 4-130 (not 4-135), of Hibbeler’s book (4-135 is related to a section which is not included in your test, so do not solve 4-135). The due date is Wednesday 27^th. This set is assigned as group homework. Each group is consisted of 3 students and you are supposed to get together with whomever you choose. Read the instructions above. You will be able to solve all of these problems gradually as we continue working on chapter 4. (Posted on Sun Feb 17^th).

Solutions (these are my own solutions, check and review them for your mid-term exam):

4-17 4-41, 4-59, 4-79 (page 1), 4-79 (page 2) 4-88, 4-105, 4-130

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HW # 5: Solve problems 4-145, and 4-156 after I finish teaching the distributed loading section. So the due dates for these two problems are: Wednesday March 12^th for my afternoon class (1-1:50 pm) and Monday 17^th for my evening class. This is a group assignment. I will not accept your homework, if it is done individually!

(Posted on March 4^th)

Solutions (145 and 156 plus two more problems)

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HW # 6: Solve problems 5-11 to 20 (10 problems). You actually need to solve problems 5-1 to 10, in order to be able to solve the next 10 problems. See the solutions of the first 10 problems below. The due date will be Monday March 31^st. These are set as group homework.

Solutions of 5-1 to 5-10 Posted on Sat March 22^nd.

Solutions of problems 5-11 to 5-20 (Check the car problem or 5-16 again)

Additional class session will be on Thursday April 3^rd at 5PM, classroom K195. Problems from Chapter 5 will be solved.

In-class Problems (Chapter 5):

· Problems 50, 51, 63 and 64

· Problem 86

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HW # 7: Solve problems 6-74 and 6-81. The due is on Friday April 11^th for my afternoon class (and on Monday 14^thfor my evening class). The solutions were handed out in class.

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HW# 8: Solve problems 7, 10, 57 and 128 from chapter 9. The due is on Wednesday April 23^rd. Some solved problems will be placed here soon. These will help you with solving harder problems from this chapter.

Lots of solved problems from chapter 9, including the HW8 solutions.

Try to solve problems: 5, 24 and 28 from chapter 9 and then check the solutions below:

· Solution of 9-5

· Solution of 9-24

· Solution of 9-28

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HW# 9: Solve problems 5, 6, 27 and 30 from Chapter 10, and also problems 1, 9 and 35 from chapter 8. The due is Wednesday April 30^th.

NEW: Solutions:

· Chapter 8: 1, 9 and 35

· 15 solved problems from chapters 8 and 10 are placed in a letterbox, outside my office. Come and pick them up (These were handed out to the students in my afternoon class). These include the last section of HW#9 (Chapter 10: problems 5, 6, 27 and 30).

My student assistant “Shibing Liu” is offering free tutoring for Statics. Get his help!!

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Tests- Final Exam: (Check the schedule frequently to see the corresponding dates)

RULES FOR PRESENTING PROBLEM SOLUTIONS.

1. Neat and appropriate diagrams are required (eg a “Free Body Diagram,” or sketches showing the forces, dimensions, angles, etc).

2. First write equation in general form, such as ΣF = 0 and then substitute the forces. If a variable represents a vector, the arrow must be included.

3. When numbers are substituted into equations, include basic units and powers of ten. Correct units should accompany all numbers.

4. Never calculate a value and then enter it into an equation that is higher up on the page. The person who is checking your work needs to see the sequence of the calculations.

5. Initial or intermediate calculations must be done more precisely (usually 4 or 5 significant digits) than the answer will show.

6. Express answers in Engineering Notation, to 3 significant figures (usually), with correct, convenient units.

7. Either show the angles or calculate the appropriate ones, considering the positive x axis as the starting point and rotating CCW.

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Get ready for test 1: Study chapters 1, 2 and 3 and work on the book’s examples. Solve the practice problems in front of each section (in course materials section) and also work on take home tests. Review the problems from Hibbeler’s study pack and review the homework solutions that I handed out or placed on the web. Test 1 will be on Wednesday Feb 13^th.

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Your second test is next week on Wednesday 27^th (for M/W 6-7:17PM class) and on Friday 29^th for M/W/F 1-1:50 PM class. You will be given problems from chapter 4. Sections of the book included: 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 4.8.

Try to solve the problems given to the other class as their test 2. Later check if your solutions are correct. Time yourself.

Test 2, Afternoon Class TEST 2 SOLUTIONS (Afternoon class)

Test 2, Evening Class TEST 2 SOLUTIONS (Evening class)

I am grading your tests and I plan to finish grading by Monday Mar 10^th. If any one of you would like to know your test 2 grade for withdrawal purpose, email me and I will email back your grade. While I do not encourage you to withdraw, you should be realistic and estimate the grades you should get from your other tests to pass the course (Specially those of you who have already missed some HW assignments and have got very low grades for the first two tests). If you are not sure, you can discuss this matter with me via email by Monday.

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Mid-term Exams:

v M/W/F 1-1:50 PM class, on Friday March 14^th

v M/W 6-7:15 PM class on Monday March 17^th

v Chapters 2, 3 and 4 are included (Section 4.9 is not included, but 4.10 or distributed loading is included). You can bring a formula sheet to the exam.

To get ready for the exam:

1. Try to solve the problems given to the other class as their test 2. Later check if your solutions are correct. Time yourself.

2. Review all HW solutions (including the new set of HW # 4, which I have added recently (these include my explanations)).

3. Try to solve some problems from Hibbeler’s study pack. Review all the problems that I solved in class.

4. Work on Chapter 3 a bit more, since you have already worked on Chapter 4 for your test 2.

5. Just relax and study every day and little by little (apply a distributed load on your brain, not a point or concentrated load!!).

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You will have a quiz from chapter 5 on Monday April 7^th. Work on HW and in-class problems and study different joints that we discussed in class. All the solved problems are placed in Homework section on this webpage.

Afternoon class quiz solution Evening class quiz solution (problem 3)

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Your third test is on April 14^th and materials from chapters 5 and 6 are included. Some problems that I solved in class are placed in Homework section. So if you missed some sections, you can review them again.

Test 3, Afternoon Class TEST 3 SOLUTIONS (Afternoon class)

Test 3, Evening Class TEST 3 SOLUTIONS (Evening class)

Click on the picture to see a larger size.

What you should have done during spring break! (Thanks to Chuck):

Click on the picture to see a larger size.

Hope you enjoyed the course and learned lots of stuff. I really enjoyed teaching this course and I believe that I had wonderful students.

………Do you feel like saying:

Click on the picture to see a larger size.

Statics Formulas

Final Exams: (from chapters 5 to 10)

3080	ENGR	2214	003	M/ W/ F, 1- 1:50	07-MAY-2008	12:00	13:50	K	195
3085	ENGR	2214	004	M/W, 6- 7:15	07-MAY-2008	18:00	19:50	K	195

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My student assistant “Shibing Liu” is offering free tutoring for Statics. Get his help!!