Cosme Furlong's ES-2501

Center for Holographic Studies and Laser micro-mechaTronics (CHSLT)
NanoEngineering, Science, and Technology (NEST)
Mechanical Engineering Department
Worcester, MA 01609-2280
Cosme Furlong, Ph.D.

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ES-2501. Introduction to Static Systems
Term C, 2001

GENERAL INFORMATION

COURSE No.:   ES-2501, C’2001
TEXT:              R. C. Hibbeler, Engineering Mechanics, STATICS, 8th Ed.
LECTURES:     M, Tu, Th, F @ 2:00 PM, HL-218

INSTRUCTOR: C. Furlong
HL-151
(508) 831-5126
cfurlong@wpi.edu
http://www.wpi.edu/~cfurlong
OFFICE HOURS: M, Tu, Th, F @ 9:00 AM

TA: Jurg C. Zwahlen
HL-309
(508) 831-5093
jurgzwah@wpi.edu
TA OFFICE HOURS: M, Tu, Th, F @ 3:00 PM

GRADING

THE GRADE FOR THE COURSE WILL BE BASED ON THE AVERAGE OF THE FOUR EXAMS AND THE FINAL PROJECT.

HOMEWORK

PLACE ALL OF THE ASSIGNED AUTHOR’S EXAMPLES AND SOLVED PROBLEMS INTO A THREE-RING NOTEBOOK. Instructor will ask you to submit several of those problems (randomly chosen) for grading at each exam.

EXAMS AND FINAL PROJECT

THERE WILL BE FOUR (4) EXAMS, AND ONE DESIGN PROJECT, which may involve the use of a symbolic computer program solver (i.e. Mathematica, MathCad).

SYLLABUS

First week:

DATE and LECTURE	TOPIC	READING	HOMEWORK ASSIGNMENT
1. Jan 11, Th	General principles: mechanics and units. Force vectors. Vector addition of forces. Components of forces. Right-hand coordinates. Unit vectors. Master math and figures on pages 44 and 45.	Ch 1 Ch 2: 2.1, 2.2, 2.3, 2.4, 2.5	Author’s: 1-2, 1-3, 2-1, 2-3, 2-5 Solve: 2-9, 2-16, 2-20
2. Jan 12, F	Components of forces in 1, 2, and 3 directions. Direction cosines. Position vectors. Scalar product. Master figures 2-23 to 2-27. Master figures 2-34 to 2-35.	Ch 2: 2.5 to 2.9	Author’s: 2-7, 2-11, 2-13, 2-17 Solve: 2-21, 2-90, 2-127, 2-139

Second week:

DATE and LECTURE	TOPIC	READING	HOMEWORK ASSIGNMENT
3. Jan 15, M	Concurrent forces. Free body diagrams. Equilibrium.	Ch 3: 3.1 to 3.3	Author’s: 3-2, 3-4, 3-6 Solve: 3-6, 3-7 3-32, 3-36
4. Jan 16, Tu	Three-dimensional force system. Concurrent forces. Equilibrium.	Ch 3: 3.4	Author’s: 3.5, 3-7 Solve: 3-49, 3-52, 3-55
5. Jan 18, Th	Coefficient of friction and friction force. When can you use equation 8-1?	Ch 8: 8.1, 8.2	Author’s: 8-2, 8-3, 8-5 Solve: 8-2, 8-6, 8-37, 8-50
6. Jan 19, F	Moment of a force. Vector and scalar formulation. Vector cross-product. Master equations 4-6 and 4-7, and figure 4-14.	Ch 4: 4.1 to 4.4	Author’s: 4-2, 4-3, 4-4 Solve: 4-10, 4-34, 4-46

Third week:

DATE and LECTURE	TOPIC	READING	HOMEWORK ASSIGNMENT
7. Jan 22, M	Moment of a force about a line. Master equations 4-11 and 4-12, and figure 4-22.	Ch 4: 4.5	Author’s: 4-8, 4-9 Solve: 4-51, 4-54, 4-66
8. Jan 23, Tu	Moment of a couple, page 148. Master equations 4-14 and 4-15. Intro. to equivalent systems.	Ch 4: 4.6	Author’s: 4-11, 4-12, 4-13 Solve: 4-69, 4-71, 4-81
9. Jan 25, Th	Equivalent systems. Master figs 4-33, 4-34, and 4-35.	Ch 4: 4.7, 4.8	Author’s: 4-14, 4-15, 4-16 Solve: 4-111, 4-113, 4-121
10. Jan 26, F	EXAM I: Force components. Addition of forces. Moment of force systems. Moment of force couples. Equivalent systems (PDF format).		Start assignment 11

Fourth week:

DATE and LECTURE	TOPIC	READING	HOMEWORK ASSIGNMENT
11. Jan 29, M	Review: Exam 1. Equilibrium. Master Section 5.1 and Eqs 5-1. Study figure 5-1 and table 5-1.	Ch 5: 5.1, 5.2, 5.3	Author’s: 5-1, 5-5 Solve: 5-2, 5-3, 5-9
12. Jan 30, Tu	Equilibrium (continued). Free body diagrams. Study table 5-1 on pages 196 and 197.	Ch 5 (cont): 5.1, 5.2, 5.3, and 5.6	Author’s: 5-6, 5-8, 5-12 Solve: 5-19, 5-21, 5-27
13. Feb 1, Th	Master section 5.4. Two and three force members. Master figures 5-21, 5-22, and 5-23.	Ch 5: 5.4	Author’s: 5-13 Solve: 5-26, 5-28, 5-33
14. Feb 2, F	Equilibrium in three-dimensions. Study table 5-2. Master equations on page 237.	Ch 5: 5.5 and 5.6	Author’s: 5-14, 5-17 Solve: 5-69

Fifth week:

DATE and LECTURE	TOPIC	READING	HOMEWORK ASSIGNMENT
15. Feb 5, M	Redundant constraints. Improper Constraints. Master figures 5-26 and 5-27.	Ch 5: 5.7	Author’s: 5-19 Solve: 5-29, 5-67, 5-82
16. Feb 6, Tu	Review: Chapter 5.	Ch 5	Solve: 5-93, 5-98, 5-101
17. Feb 8, Th	EXAM II: 2-D and 3-D equilibrium (PDF format).		Start assignment 18
18. Feb 9, F	Structural analysis: TRUSSES. Master the method of joints, section 6.2.	Ch 6: 6.1, 6.2, 6.3	Author’s: 6-1, 6-2, 6-3 Solve: 6-2, 6-3, 6-7

Sixth week:

DATE and LECTURE	TOPIC	READING	HOMEWORK ASSIGNMENT
19. Feb 12, M	Method of sections. Master section 6.4. Be able to to draw the free-body diagrams shown on pages 273 and 274 with your book closed.	Ch 6: 6.4	Author’s: 6-5, 6-7 Solve: 6-33, 6-41, 6-45
20. Feb 13, Tu	Frames and machines. Read and master section 6.6. Be able to draw of all of the free-body diagrams shown in Author's example 6-13. Make sure to show equal and opposite reactions!	Ch 6: 6.6	Author’s: 6-9, 6-11, 6-12 Solve: 6-71, 6-75, 6-91
Feb 15, Th	ADVISING APPOINTMENT DAY
21. Feb 16, F	Frames and machines (continued). * FINAL PROJECT IS ASSIGNED * Obtain project documents: (PDF format / MS Word). * Example MathCAD 7.0 file *	Ch 6: 6.6	Author’s: 6-14, 6-16 Solve: 6-74, 6-89, 6-95

Seventh week:

DATE and LECTURE	TOPIC	READING	HOMEWORK ASSIGNMENT
22. Feb 19, M	EXAM III: Structural analysis. Equilibrium of trusses and frames (PDF format).
23. Feb 20, Tu	Distributed loading. Center of gravity.	Ch 4: 4.10	Author’s: 4-20, 4-21, 4-22 Solve: 4-142, 4-146, 4-159
24. Feb 22, Th	Internal forces in structural members. Shear and bending moment diagrams. Be able to draw the free-body diagrams shown in figures 7-1, 7-2 and 7-3.	Ch 7: 7.1, 7.2	Author’s: 7-2, 7-3, 7-7 Solve: 7-3, 7-7, 7-42, 7-45
25. Feb 23, F	Fluid pressure. Pascal's law. Equation 9.15. Study figures 9-26 through 9-29.	Ch 9: 9.6	Author’s: 9-13, 9-15 Solve: 9-107, 9-114

Eighth Week:

DATE and LECTURE	TOPIC	READING	HOMEWORK ASSIGNMENT
26. Feb 26, M	Area moment of inertia. Study figures 10-2 and 10-3 (parallel axis theorem). These concepts will be used in ES-2502, stress analysis. Browse at the inside of back cover of the book for some already integrated problems.	Ch 10: 10.1 to 10.4	Author’s: 10-1, 10-6 Solve: 10-30, 10-34
27. Feb 27, Tu	(Continued) Pressure and moment of inertia.		Solve: 9-113, 9-115, 10-5, 10-33
28. Mar 1, Th	EXAM IV: Distributed loads. Shear forces and bending moments in beams. Pressure loading. Area moment of inertia. *FINAL PROJECT DUE*

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