MOR/LP
Date: 11/10/10 Time: 15:32:36
C:\PROGRA~3\MOR\5-10.lp
MODEL DESCRIPTION
****************************************************
Min Z = 5WA + 10WB +10WC +20XA +30XB +20XC +5YA + 8YB +12YC
ST WA + XA + YA = 45
WB + XB + YB = 50
WC + XC + YC = 20
WA + WB + WC = 35
XA + XB + XC = 40
YA + YB + YC = 40
****************************************************
Simplex Method
^^^ Optimal Solution ^^^
Z = 1345.0000
WA = 25.0000
WB = 10.0000
WC = 0.0000
XA = 20.0000
XB = 0.0000
XC = 20.0000
YA = 0.0000
YB = 40.0000
YC = 0.0000
Compile time: 0.00 (Secs.)
Run time : 0.00 (Secs.)
Uncategorized
5.6
MIN Z = 10X11+15X12+20X13+12X21+10X22+16X23+15X31+7X32+22X33+20X41+22X42+24X43 ST X11+X21+X31+X41>=1000 X12+X22+X32+X42>=3000 X13+X23+X33+X43>=2000 X11+X12+X13<=2000 X21+X22+X23<=1000 X31+X32+X33<=2000
5.5
MOR/LP
Date: 10/12/00 Time: 16:40:50
d:\junk\5-05.lp
MODEL DESCRIPTION
****************************************************
Max Z = 250 X1 + 300 X2 + 325 X3
ST 1000X1 + 1400X2 + 1600X3 <= 100000
10X1 + 12X2 + 13X3 <= 1200
20X1 + 24X2 + 26X3 <= 2500
3x3 - x1 - x2 >= 0
Allinteger
Boundonsum = 150
****************************************************
Gomory Cut - Mixed Integer Linear Programming
^^^ Optimal Solution ^^^
Integer solution has been obtained
Z = 23249.9999
X1 = 62.0000
X2 = 2.0000
X3 = 22.0000
Slack2 = 270.0000
Slack3 = 640.0000
Surpl4 = 2.0000
Compile time: 0.06 (Secs.)
Run time : 0.00 (Secs.)
5.3
MOR/LP
Date: 10/12/00 Time: 16:49:37
d:\junk\5-03.lp
MODEL DESCRIPTION
****************************************************
min z = 8xas + 16xbs
st
0.2 xas + 0.3 xbs >= 20
0.14 xas + 0.5 xbs >= 29
0.25 xas + 0.2 xbs >= 20
"Not needed, but nice to have calculated for you:"
coarsegravel - 0.2xas - 0.3xbs = 0
finegravel - 0.14xas - 0.5xbs = 0
sand - 0.25xas - 0.2xbs = 0
****************************************************
Simplex Method
^^^ Optimal Solution ^^^
Z = 1080.4124
XAS = 43.2990
XBS = 45.8763
COARSEGRAVEL = 22.4227
FINEGRAVEL = 29.0000
SAND = 20.0000
Surpl1 = 2.4227
Compile time: 0.00 (Secs.)
Run time : 0.00 (Secs.)
5.2
MOR/LP
Date: 10/12/00 Time: 16:49:14
d:\junk\5-02.lp
MODEL DESCRIPTION
****************************************************
max z = 9a+8b+6c+5d+2e
st
5a+4b+3c+2d+e<=5
allinteger
****************************************************
Gomory Cut - Mixed Integer Linear Programming
^^^ Optimal Solution ^^^
Integer solution has been obtained
Z = 12.0000
A = 0.0000
B = 0.0000
C = 0.0000
D = 2.0000
E = 1.0000
Compile time: 0.00 (Secs.)
Run time : 0.00 (Secs.)
5.1
MOR/LP
Date: 10/12/00 Time: 16:48:33
d:\junk\5-01.lp
MODEL DESCRIPTION
****************************************************
min z = x11+2x12+1.5x21+1.25x22
st
x11+x12<=29
x21+x22<=43
x11+x21>=50
x12+x22>=22
x21>=21
x12<=10
****************************************************
Simplex Method
^^^ Optimal Solution ^^^
Z = 88.0000
X11 = 29.0000
X12 = 0.0000
X21 = 21.0000
X22 = 22.0000
Slack6 = 10.0000
Compile time: 0.00 (Secs.)
Run time : 0.00 (Secs.)
Lowery’s Old 322 Exams
Please note that this course changes from year to year. This year we may have economics on Quiz A, while last year Quiz A may have covered optimization. Sometimes, material is completely removed from the course and something else takes its place. For example, PERT and critical path methods were removed from 322 when engineering economics was added. Thus, don’t get upset if you never heard of something you see on one of these old quizzes. It’s possible that we just no longer cover it, or that we will cover it on a different exam.
Of highest importance to your continued use of this material: Please do not bring any of these problems by my office and ask me to solve them for you, or they will be immediately removed from distribution. You can take them to the tutor or to your friends, but I simply do not have time for each of you to individually bring each of these problems by my office and solve them for you. There simply is not enough time during the semester to have each of you come by with each problem and ask that you be shown how to work it individually. No way. I am happy to let you see my old exams, such as they are, to determine the types of problems I gave in the past, and you are welcome to get together and work them out. But the first person who asks me anything about any one of these exams will cause this resource to immediately disappear.
Grading Example – read this for an example of how your papers are graded
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CVEN 305-501 & 502 Syllabus – 2017
MECHANICS OF MATERIALS
Spring 2017 – C.E. Room 110
502 – MWF 8:00 am – 8:50 am – CRN: 10671
501 – MWF 9:10 am – 10:00 am – CRN: 10670
Office: CEOB (was CE/TTI), Room 701c
Phone: 979-845-4395 (Office), 979-775-5401 (Home)
e-mail: Lowery@tamu.edu
Phone: 979-845-4395 (Office), 979-775-5401 (Home)
e-mail: Lowery@tamu.edu
Office Hours:
NOTE: Office hours listed below are subject to change. Please call before dropping by. Do not wait until the day before an exam for help, unless the tutors have office hours and can help you on that day. Plan to see me earlier in the week.
It will always be in your best interest to call to make sure I have not been unexpectedly called out before you come by, unless you are already in the area.
Click here to activate your text, and for other information peculiar to this class.
Help Desk: Tutoring hours for help in the class can be found here.
To get to the help desk in the CE Building, go to the basement and turn left, then it’s down the hall on the right. Room 023 in the old 2 story CE Building.
Textbook: The textbook is excellent – one of the best, but you need only the computer-graded homework part. An electronic version of the text is included with that. See the syllabus below.
- Beer, Ferdinand P., E. Russell Johnston, Jr., John T. DeWolf, and David F. Mazurek. Mechanics of Materials. 7th Edition. McGraw-Hill.
Stress/deformation relationships for continuous media to structural members; axially loaded members; thin-walled pressure vessels; torsional and flexural members; shear; moment; deflection of members; combined loadings; stability of columns; non-symmetrical bending, shear center; indeterminate members; elastic foundations. Prerequisite: satisfactory completion of CVEN 221 or equivalent (Statics).Catalog Description:
Course Objectives:
- To introduce students to applications of stress and deformation relationships for structural members subjected to axial, torsional, and bending loads, and thin-walled pressure vessels. Students will study stress and deformation of structural members under combined loadings, stability of columns, nonsymmetrical bending, including indeterminate members.
Course Prerequisites:
To take CVEN 305, you must have been admitted to upper level in Civil Engineering, and have received a passing grade (no D’s, F’s or I’s) in CVEN 221 or MEEN 221 or equivalent, and completed MATH 251.
Course Assessment:
- Graded weekly exams: Weekly quizzes 1 through around 15, more or less, depending on how many we take. They comprise 60% of your final grade
- Graded homework assignments, Readiness Assessment Tests (RATs, in-class pop tests), Class Participation, Attendance, Projects (all of equal value unless stated otherwise at the time of assignment) 10% of final grade
- Final exam: 30% of final grade
Syllabus Information:
- Homework questions and answers
- Format for Exams and Quizzes
- Where to get help for 305
- Grading
- Major exams
- Make-up exams
- Attendance
- Illness
- Academic Dishonesty Policy
- Finally, click here!
Resources available to the student:
- Breaking news – FAQ
- Instructor of record: Dr. Lee L. Lowery, Jr.
- TA Help Desk Schedule
- Help with logging into the McGraw Hill website, or any other problems
- eCampus.tamu.edu
- See Dr. Beason’s excellent videos – password = videos
- Computer software (Excel, EES)
- EES (Engineering Equation Solver) What it is, how to get it, video example on using it, user’s manual, short tutorial
- Computers in the Civil Engineering Computer Labs
- Old Exams and this semester’s exam solutions
- Chances of making what grade in Lowery’s 305 class after Quiz A and after Quiz B (was based on old format of 3 exams/semester)
- 502(8:00 am)/501(9:10 am) Class Video Lectures and Notes posted during this semester
- Please note: Use of videos.
- Tutoring help and use of the solution manual <—– for 2017 Spring semester
- Access to the Civil Engineering Apps Server
- Some good videos on plane stress, principal stresses, Mohr’s circle, failure theories, pressure vessels
- Typical point deductions you can expect on exams and pop quizzes
- FAQ: Quick Answers to student questions
- Class seating Chart
- Video examples – Strength of materials problems and some by Dr. Beason
- Equation sheets – Print this out and bring it on Wednesdays, and for the final exam. Note that I put everything you asked on this sheet for the exams. If something is missing that you think you will need, it is your responsibility to ask that it be added.
The correct time (to the nanosecond)
Course Schedule:
Weekly minor exams: Weekly quizzes, when given, will be given during the last half of Wednesday’s class (not always, but be prepared). You may bring a copy of the 305 equation sheet attached here.
NOTES ON YOUR HOMEWORK:
The homework assignments may have to be modified from that shown below, depending on our progress during the semester. Please check the list for changes each day before you work them. Also note that you MUST submit your answers before the deadline due date stated.
Notes on required viewing of videos:
Quite a few of the homework problems normally assigned in this class have been dropped and replaced in favor of viewing some videos before coming to class. These video assignments can be accessed by going to http://ceprofs.civil.tamu.edu/lbeason/Password.html. The password is “videos”. They are also listed in the Video column below. In each case, you should print out the notes, and then view the videos that follow the notes. Again, in my case I have to use Firefox to view the videos. I am told Chrome also works. IE may work for you if Flash works on your computer. If you get Flash here BE SURE to unclick their “Optional Offer” trash before installing it.
| Week | Textbook Reading Assignments |
Video Viewing Assignments NOTE: These are just a better listing of the videos. You must use the link here to get to them: Click here! Lowery’s version of the
|
| 1) 1/18 – 1/23 | Sections 1.1, 1.2, 1.2A, 1.2B, 1.2C, 1.2D, 1.2E, 1.3, 1.4, 1.5, 1.5A, 1.5B, 1.5C, 1.5D | Statics Review Sheets – print out sheets, plus view the following 4 videos. Axial Stress Sheets – print out sheets, plus view the following 4 videos. Uniform Bearing Stress – print out sheets, plus view the following 2 videos. Uniform Shearing Stress – print out sheets, plus view the following 3 videos. Pinned Axial Member – print out sheets, plus view the following 5 videos. This will be the same format from now on. |
| 2) 1/25 – 1/30 |
Sections 2.1, 2.1A, 2.1B, 2.1C, 2.1D, 2.1E,2.1F, 2.1G, 2.2
|
Stresses on Oblique Planes General State of Stress Plane Stress Analysis and Design Factor of Safety LRFD Axial Loads |
| 3) 2/1 – 2/6 |
Sections 2.3, 2.4, 2.5, 2.7, 2.10, 2.11
|
Indeterminate Axial Load Indeterminate Superposition Axial Temperature Axial Load Poisson’s Ratio |
| 4) 2/8 – 2/13 |
Sections 3.1A, 3.1B, 3.1C, 3.2, 3.3 At this juncture, students are strongly encouraged to study Appendix A thoroughly. |
Hooke’s Law Shearing Stress Complete Hooke’s Law St. Venant’s Stress Concentration Torsion |
|
5) 2/15 – 2/20
|
Sections 3.3 3.4, 3.5
|
Angle of Twist Axial Torsion Analogy Torsion Example Problem Gear Relationships Composite Shaft Problem Fixed Shaft Problem Power |
| 6) 2/22 – 2/27 |
Sections 4.1, 4.1A, 4.1B, 4.2, 4.3, 4.4
|
Stress Concentrations Flexure Derivation |
| 7) 3/1 – 3/6 |
Sections 4.5, 4.7, 4.8, 4.9
|
Composite Beams Stress Concentration Planar Eccentricity |
| 8) 3/8 – 3/20 |
Sections 5.1, 5.2, 5.3 Spring Break in here Detailed procedure for drawing shear and moment diagrams Interactive practice drawing shear and moment diagrams
|
Unsymmetric Bending General Unsymmetric Bending Shear and Moment Equations Shear and Moment Rules |
| 3/13 – 3/17 | SPRING BREAK | Catch Up and Stay Alive |
| 9) 3/22 – 3/27 |
Sections 6.1, 6.1A, 6.1B, 6.1C, 6.3, 6.4
|
Beam Design Shearing Stress in Beams |
| 10) 3/29 – 4/3 | Sections 7.1, 7.1A, 7.1B, 7.2 | Stress Transformation I |
| 11) 4/5 – 4/10 |
Sections 7.2, , 7.3, 7.47.6
|
Stress Transformation II Mohr’s circle |
| 12) 4/12 – 4/19 |
Sections 7.2, , 7.3, 7.47.6 ??? 4/18/17 LAST DAY TO |
Absolute Maximum Stress Pressure Vessels Spherical Pressure Vessels Introduction to Beam Deflection Beam Deflection Problem 1 |
| 13) 4/21 – 4/26 |
Sections 9.3, 9.4, 9.4A, 9.4B
|
Beam Deflection Problem 2 Beam Deflection Problem 3 Singularity Function Singularity Function Problem 1 Singularity Function Problem 2 Singularity Function Problem 3
|
| 14) 4/28 – 5/2 | Sections 10.1, 10.1A, 10.1B, Final Review | Column Buckling |
|
Final exams held in CE Room 110. If you have 3 exams on the same day as our final, you can attend the other final listed here. |
CLICK HERE TO VERIFY THE FINAL EXAM DATE LISTED BELOW Final Exams: 305/502 305/501 |
Final Exam Given in our regular classroom Closed book The exam will cover everything in the course, with some emphasis on the last material covered over which you have not seen in one of our weekly quizzes. You are permitted to bring one 8.5″ x 11″ cheat sheet to the quiz, hand written by you (no copies) on TWO SIDES, no example problems, equations only. You are also permitted to bring a copy of the equations sheets we developed during the semester. Click here for a copy. Finally, you should bring a copy of the F.E. Exam Reference Manual with no notes of any kind written on it. Click here for a copy. |
The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact Disability Services, currently located in the Disability Services building at the Student Services at White Creek complex on west campus or call 979-845-1637. For additional information, visit http://disability.tamu.edu.
The following is the University required Academic Integrity Statement:
“An Aggie does not lie, cheat, or steal or tolerate those who do.”
All syllabi and examinations shall contain a section that states the Aggie Honor Code and refers the student to the Honor Council Rules and Procedures on the web: http://www.tamu.edu/aggiehonor
Major Exams
305 – Minor Weekly Exams
For weekly exams you will sit in your assigned seat. You must block print your name, and include the seat number you are sitting in. Final exams will use the format listed below.
305 – Final Exams
Don’t get too attached to the seat you regularly sit in during lecture, since this class uses random assigned seating during the final exam. The exams will have a seat number written on it and as you enter the room you will be handed one at random and shown where your exam seat is located.
If you are left-handed, just tell me and you can immediately go sit in a left-handed seat. You must then change the seat number on your exam to your new location.
Comments on Taking Makeup Exams
From: Joe
Sent: Friday, July 10, 2020 3:06 AM
To: Lee Lowery <lowery@tamu.edu>
Subject: Makeup quiz number 6
Good afternoon Dr. Lowery,
My name is Joe and I am in your CVEN 305 class. I have been traveling the last week, but I was expecting to be able to take the quiz this morning. Unfortunately I had some technical issues due to spotty WiFi and wasn’t able to get into the zoom session this morning. Is there anyway I can take the makeup quiz?
Thank you,
Joe@Texas.ag
Joe, and other 305/301 students so affected:
These will always be possible, but you are responsible for letting me know why you missed and if approved, taking a makeup when/if it is offered. There are just too many students having the same problems for me to track you down.
“When is the next one offered?” The next makeup offered for anyone I emailed back as eligible for a makeup for Quiz 1 through 6 will be on next Tuesday at 6:30 pm to 7:15 pm. If you aren’t on that list, I will put you on it based on your comments.
“Will it cover the same material as was on the quiz I missed?” Not likely.
“Will it be harder than the one I missed?” Probably.
“How come?” Because you had a week or so more to study for it than those who took it on time.
“Will it cover material in Quiz 7?” Not if the last quiz we took was Quiz 6.
L^3