Cosme Furlong's ES-2502

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

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ES-2502. Stress Analysis
Term A, 2026

GENERAL INFORMATION

COURSE OFFERING: in-person

COURSE No.: ES-2502, A'2026

REQUIRED TEXT:  R. C. Hibbeler, "Mechanics of Materials," 11th Edition -- PDF or Hardcopy
                                 Pearson, 2022

RECOMMENDED
TEXT:                      T. A. Philpot, "Mechanics of Materials," 4th Edition
                                 Wiley, 2016

LECTURES:             M, Tu, Th, F @ 2:00 PM, Fuller Labs PHL - Lower Section
CONFER. MTGs:     W @ 2:00 PM, Unity Hall 500

INSTRUCTOR: C. Furlong
HL-152
(508) 831-5126
cfurlong @ wpi.edu
http://www.wpi.edu/~cfurlong
OFFICE HOURS: M, Tu, and F, 3:00 to 4:00 PM or by appointment, in HL-152

GRADUATE ASSISTANTS:

Hamed Ghavami (TA)

sghavami @ wpi.edu

OFFICE: HL-309

Matheus Rocha (TA)

morocha @ wpi.edu

OFFICE HOURS: HL-309

OFFICE HOURS, graduate assistants:

Matheus: M and W, 11 am - 12 pm, in HL-309, morocha@wpi.edu

Hamed: Tu and Th, 12 - 1 pm, in HL-309, sghavami@wpi.edu

HELP SESSIONS:

There are two sessions per week. We strongly recommend that you attend at least one of the two sessions

Weekly: Tuesday and Friday, in HL-102, 4:00 to 5:00 pm

HOMEWORK

PLACE ALL OF THE ASSIGNED AUTHOR's EXAMPLES AND SOLVED PROBLEMS INTO A THREE-RING NOTEBOOK and/or save in ELECTRONIC VERSION. Instructor will ask you to submit several of those problems (randomly chosen) for grading at each exam: homework problems are part of the exams.

Assigned problems will be posted on our webpage soon after most lectures. Theory developed and example problems done in lectures should normally provide guidance to complete assigned homework. Occasionally, the assignments will cover materials that we have not yet covered in lecture.

Good faith collaboration on the homework assignments is encouraged. In good faith collaboration, students should first make serious attempts to solve the problems on their own, and only then discuss the problems with one another to clarify difficulties they may have had. If the collaboration is done properly then, even though students have worked together, the details of their solutions should still be quite different.

EXAMS

THERE WILL BE SIX (6) EXAMS. Exams are given on Wednesdays, except for the first week of the term. To ensure fairness in your evaluation, the lowest exam score will be dropped

Exams include all the materials covered until Monday (inclusive) the week of the exam.

1. Electronic solutions in PDF can be submitted to course's site on CANVAS. Hand-written solutions are also acceptable.

2. Exams are solved individually during the assigned times. Open-books open-notes.

3. Laptop computers can be brought into the exams should electronic solutions are submitted.

GRADING

THE GRADE FOR THE COURSE WILL BE BASED ON THE EXAMS, with homework problems (randomly chosen) being part of the exams.

1. To ensure fairness in your evaluation, the lowest exam score will be dropped.

2. Participation in course discussions, demonstrated engagement in the course materials, demonstrated effort, and other positive contributions made to the course will strongly be taken into consideration for grading.

COURSE OUTLINE

Entire Preliminary Outline is here - subject to changes based on class requirements

TOPICS

First week:

Students: please review materials before attending lectures

LINK is on the left column

DATE and LECTURE	TOPIC	READING ASSIGNMENT	HOMEWORK ASSIGNMENT
1. Aug 24, M	Unit 1: Introduction	Ch. 1 (of textbook) Review notes and text: ES2001, ES2501	Solve: Example 1.2, Example 1.3, Example 1.4 (develop your own solutions in detail while demonstrating understanding of the materials)
2. Aug 25, Tu	Unit 2: find internal forces first	Ch. 1 (of textbook) Review notes and text: ES2001, ES2501	Solve: F1-6, 1-2, 1-10, 1-19
3. Aug 26, W	Unit 3: definition of normal and shear stress	Ch. 1 (of textbook)	Solve: Example 1.6, Example 1.11 (develop your own solutions in detail) 1-38, 1-44
4. Aug 27, Th	Unit 3: definition of normal and shear stress: average normal and shear stresses	Ch. 1 (of textbook)	Solve: 1-32, 1-47, 1-49, 1-56
5. Aug 28, F	Unit 4: designing a connector based on stress criteria	Ch. 1 (of textbook)	Solve: 1-73, 1-88, 1-89, 1-94

Second week:

Students: please review materials before attending lectures

LINK is on the left column

DATE and
LECTURE

TOPIC

READING
ASSIGNMENT

HOMEWORK
ASSIGNMENT

6. Aug 31, M

Unit 5: Strain: definition of normal
strain and shear strain

Ch. 2 (of textbook)

Solve:
Example 2.1,

Example 2.2

(develop your own

solutions in detail)

2-3, 2-4,

2-5, 2-7

7. Sept 01, Tu

Unit 5: Normal and shear strain

Ch. 2 (of textbook)

Solve:

Example 2.3

(develop your own

solutions in detail)

2-8,

2-10, 2-17

8. Sept 02, W

Exam 01

Open books, open notes

Covers all materials till Monday the week of the exam

9. Sept 03, Th

Unit 6: stress-strain relationship:
Hook's law

Ch. 3 (of textbook)

Solve:
3-1, 3-4,
3-8, 3-14,

3-15

(do a search
for mechanical properties
of ASTM A-36 steel;
in your solutions
include references used)

Example 3.1

(develop your own

solutions in detail)

10. Sept 04, F

Unit 6: stress-strain relationship
&
mechanical properties

Ch. 3 (of textbook)

Solve:
3-19, 3-20,

3-29, 3-31

Example 3.2,

Example 3.4,

Example 3.5,

Example 3.6

(develop your own

solutions in detail)

Third week:

Students: please review materials before attending lectures

LINK is on the left column

DATE and LECTURE	TOPIC	READING ASSIGNMENT	HOMEWORK ASSIGNMENT
11. Sept 07, M Materials covered last Friday Labor Day Holiday	Unit 7: tension/compression of slender longitudinal bars: general	Ch. 3 (of textbook) Ch. 4 (of textbook)	Solve: 3-33, Example 4.3, (develop your own solutions in detail) 4-1, 4-4, 4-7
12. Sept 08, Tu	Unit 7: tension/compression of slender longitudinal bars: statically indeterminate	Ch. 4 (of textbook)	Solve: 4-8, 4-13, Example 4-5, (develop your own solutions in detail) 4-32, 4-39, 4-41
13. Sept 09, W	Exam 02 Open books, open notes Covers all materials till Monday the week of the exam
14. Sept 10, Th	Unit 8, 9: tension/compression of slender longitudinal bars: statically indeterminate & thermal stresses	Ch. 4 (of textbook)	Solve: Example 4-7, Example 4-8, (develop your own solutions in detail) 4-43, 4-45
15. Sept 11, F	Units 9: tension/compression of slender longitudinal bars: thermal stresses	Ch. 4 (of textbook)	Solve: Example 4-11, Example 4-12, (develop your own solutions in detail) 4-69, 4-74, 4-78, 4-82

Fourth week:

Students: please review materials before attending lectures

LINK is on the left column

DATE and LECTURE	TOPIC	READING ASSIGNMENT	HOMEWORK ASSIGNMENT
16. Sept 14, M	Units 10, 11: tension/compression of slender longitudinal bars: stress concentrations & nonlinear deformations	Ch. 4 (of textbook)	Solve: Example 4.13 (develop your own solutions in detail) 4-88, 4-92, 4-94
17. Sept 15, Tu	Unit 12: Torsion of shafts: circular cross-section: torsion formula	Ch. 5 (of textbook)	Solve: Example 5.2, Example 5.3 (develop your own solutions in detail) 5-8, 5-18
18. Sept 16, W	Exam 03 Open books, open notes Covers all materials till Monday the week of the exam
19. Sept 17, Th	Unit 12: Torsion of shafts: circular cross-section: power transmission	Ch. 5 (of textbook)	Solve: Example 5.4, (develop your own solutions in detail) 5-28, 5-32, 5-34
20. Sept 18, F	Unit 12, 13: Torsion of shafts: circular cross-section: angle of twist & statically indeterminate	Ch. 5 (of textbook)	Solve: Example 5.5, Example 5.6, Example 5.9 (develop your own solutions in detail) 5-49, 5-58, 5-78

Fifth week:

Students: please review materials before attending lectures

LINK is on the left column

DATE and LECTURE	TOPIC	READING ASSIGNMENT	HOMEWORK ASSIGNMENT
21. Sept 21, M	Unit 12, 13: Torsion of shafts: circular cross-section: statically indeterminate & stress concentrations	Ch. 5 (of textbook)	Solve: Example 5.10, Example 5-14 (develop your own solutions in detail) 5-81, 5-87, 5-90, 5-123, 5-124
22. Sept 22, Tu	Unit 15, 16: Bending of beams: MV diagrams & MV general relationship	Ch. 6 (of textbook)	Solve: Example 6.4 (develop your own solutions in detail) 6-1, 6-9, 6-12, 6-18
23. Sept 23, W	Exam 04 Open books, open notes Covers all materials till Monday the week of the exam
24. Sept 24, F	Unit 17: Bending of beams: normal stress: flexure formula	Ch. 6 (of textbook)	Solve Example 6.11, Example 6.14 (develop your own solutions in detail) 6-53, 6-55, 6-70, 6-79
Sept 25, F	Wellness Day - no classes Time to rest and reflect

Sixth week:

Students: please review materials before attending lectures

LINK is on the left column

DATE and LECTURE	TOPIC	READING ASSIGNMENT	HOMEWORK ASSIGNMENT
25. Sept 28, M	Unit 17: Bending of beams: normal stress: flexure formula	Ch. 6 (of textbook)	Solve Example 6.12 Example 6.20 (develop your own solutions in detail) 6-71, 6-87, 6-99
26. Sept 29, Tu	Unit 18, 19: Bending of beams: transverse shear; section properties	Ch. 7 (of textbook)	Solve Example 7.1 Example 7.3 (develop your own solutions in detail) 7-11, 7-23, 7-24, 7-25
27. Sept 30, W	Exam 05 Open books, open notes Covers all materials till Monday the week of the exam
28. Oct 01, Th	Unit 21: Bending of beams: deflection analysis	Ch. 12 (of textbook)	Solve Example 12.1 Example 12.2 (develop your own solutions in detail) 12-3, 12-6, 12-15, 12-18
29. Oct 02, F	Unit 21: Bending of beams: deflection analysis (continued) & Unit 27: combined loading	Ch. 12 (of textbook) Ch. 8 (of textbook)	Solve Example 12.4, Example 8.5, Example 8.6 (develop your own solutions in detail) 12-19, 8-37, 8-40, 8-41

Seventh week:

Students: please review materials before attending lectures

LINK is on the left column

DATE and LECTURE	TOPIC	READING ASSIGNMENT	HOMEWORK ASSIGNMENT
30. Oct 05, M	Unit 27: combined loading (continued)	Ch. 8 (of textbook)	Solve Example 8-1, Example 8.4 (develop your own solutions in detail) 8-4, 8-30, 8-35
31. Oct 06, Tu	Unit 24, 25: Stress transformation & Mohr's circle	Ch. 9 (of textbook)	Solve Example 9.5, Example 9.6, Example 9.7 (develop your own solutions in detail) 9-30, 9-74, 9-75
32. Oct 07, W	Course Summary 2:00 PM, Unity Hall 500	All Chapters Covered
Oct 08, Th	No class Time to study and prepare
33. Oct 09, F	Exam 06 Open books, open notes Covers all materials till Tuesday the week of the exam 2:00 PM, Fuller Labs PHL - Lower Section

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ME Department, WPI
[Mechanical Engineering Department]

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