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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 B, 2025


 

GENERAL INFORMATION

 

COURSE OFFERING: in-person

 

COURSE No.:           ES-2502, D'2025


REQUIRED TEXT:  R. C. Hibbeler, "Mechanics of Materials," 10th Edition -- PDF or Hardcopy
                                 Pearson, 2016

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

                                 Wiley, 2016

LECTURES:             M, Tu, Th, F @ 4:00 PM, SL 115 Kinnicutt Hall

CONFER. MTGs:     W @ 4:00 PM, SL 115 Kinnicutt Hall
 

INSTRUCTOR: C. Furlong
HL-152
(508) 831-5126 
cfurlong @ wpi.edu
http://www.wpi.edu/~cfurlong
OFFICE HOURS: W and F from 11:00 to 11:50 AM or by appointment (in HL-152)

GRADUATE ASSISTANTS:

Hamed Ghavami (TA)

sghavami @ wpi.edu

OFFICE: HL-149

 

Jay Patil (GA)

jpatil1 @ wpi.edu

OFFICE HOURS: HL-149

 

 


 

OFFICE HOURS: M, W, F in HL-149, 12:00 to 1:00 pm

 

Tu and Th, HL-310, 3:00 to 4:00 pm

 

&

 

Friday, HL-149, 11:00 am to 1:00 pm


 

HELP SESSIONS (attendance will be recorded). Begin on Tu, October 28

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

Tu and Th in HL-230, Geometric Modeling Computer Lab, 12:00 to 1:00 pm

M and W in HL-154, 2:00 to 3:00 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 SEVEN (7) EXAMS.
  Exams are given on Fridays. To ensure fairness in your evaluation, the lowest exam score will be dropped

Exams include all the materials covered until Wednesday (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. Oct 20, 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. Oct 21, Tu

Unit 2: find internal forces first


Ch. 1 (of textbook)

Review notes
and text: ES2001,
ES2501

Solve:
P1-1,

F1-6,

1-2, 1-10,

1-19

3. Oct 22, 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. Oct 23, 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. Oct 24, F

Exam 01

Open books, open notes

Covers all materials till Wednesday the week of the exam

 

 

Solutions:

to be posted on

Canvas after exam

 

 

 

Second week:

Students: please review materials before attending lectures

LINK is on the left column

 

DATE and
LECTURE

TOPIC

READING
ASSIGNMENT

HOMEWORK
ASSIGNMENT

6. Oct 27, M

Unit 4: designing a connector
based on stress criteria

Ch. 1 (of textbook)

 

 

Solve:
1-73, 1-88,
1-89, 1-94

 


7. Oct 28, Tu

 


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

 

8. Oct 29, W

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

 

 

9. Oct 30, 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
)

 

10. Oct 31, F

Exam 02

Open books, open notes

Covers all materials till Wednesday the week of the exam

 

 

Solutions:

to be posted on

Canvas after exam

 

 

 

Third week:

Students: please review materials before attending lectures

LINK is on the left column

 

DATE and
LECTURE

TOPIC

READING
ASSIGNMENT

HOMEWORK
ASSIGNMENT

 

11. Nov 03, M

 

 

Unit 6: stress-strain relationship
&
mechanical properties

 

Ch. 3 (of textbook)

Solve:
3-19, 3-20,

3-29, 3-31

Nov. 04, Tu

Wellness Day - No classes

 

 


12. Nov 05, W

 

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, 4-2, 4-4

 


13. Nov 06, Th

 

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

 

14. Nov 07, F

Exam 03

Open books, open notes

Covers all materials till Wednesday the week of the exam

 

 

Solutions:

to be posted on

Canvas after exam

 

 

 

Fourth week:

Students: please review materials before attending lectures

LINK is on the left column

 

DATE and
LECTURE

TOPIC

READING
ASSIGNMENT

HOMEWORK
ASSIGNMENT

15. Nov 10, M

 

Unit 8, 9: tension/compression of
slender longitudinal bars:
statically indeterminate

&
thermal stresses

 

Ch. 4 (of textbook)


Solve:

Example 4-8,

(develop your own

solutions in detail)

4-43, 4-45



16. Nov 11, Tu



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,

4-75, 4-76


17. Nov 12, W

 

Units 10: tension/compression of
slender longitudinal bars:
stress concentrations


Ch. 4 (of textbook)


Solve:
Example 4.13

(develop your own

solutions in detail)

4-88, 4-92,

4-94

 


18. Nov 13, Th

 

Units 10, 11: tension/compression of
slender longitudinal bars:
stress concentrations
&
nonlinear deformations

Unit 12: Torsion of shafts, is next

 

Ch. 4, 5 (of textbook)

 

Solve:

Example 4.14

(develop your own

solutions in detail)

4-102, 4-108,

4-109

 

19. Nov 14, F

Exam 04

Open books, open notes

Covers all materials till Wednesday the week of the exam

 

 

Solutions:

to be posted on

Canvas after exam

 

 

 

Fifth week:

Students: please review materials before attending lectures

LINK is on the left column

 

DATE and
LECTURE

TOPIC

READING
ASSIGNMENT

HOMEWORK
ASSIGNMENT

20. Nov 17, M

 

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

 



21. Nov 18, Tu



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

 

 


22. Nov 19, W

 

Unit 12, 13: Torsion of shafts: circular
cross-section:
angle of twist
&
statically indeterminate

 


Ch. 5 (of textbook)


Solve:
Example 5.5,

Example 5.7,

Example 5.9
(develop your own
solutions in detail)

5-49, 5-58,

5-78

 


23. Nov 20, Th

 

Unit 12, 13: Torsion of shafts: circular
cross-section:
statically indeterminate
&
stress concentrations

 

Ch. 5 (of textbook)

 

Solve:

24. Nov 21, F

Exam 05

Open books, open notes

Covers all materials till Wednesday the week of the exam

 

 

Solutions:

to be posted on

Canvas after exam

 

 

 

Sixth week:

Students: please review materials before attending lectures

LINK is on the left column

 

DATE and
LECTURE

TOPIC

READING
ASSIGNMENT

HOMEWORK
ASSIGNMENT

25. Nov 24, 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

 


26. Nov 25, 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,

6-10,

6-18

 

 

Nov 26, W - Nov 28, F

 

 

Thanksgiving holiday, no classes

 

 

 

Time to rest and reflect

 

 

 

 

Seventh week:

Students: please review materials before attending lectures

LINK is on the left column

 

DATE and
LECTURE

TOPIC

READING
ASSIGNMENT

HOMEWORK
ASSIGNMENT


27. Dec 01, M

 

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)

 

6-47, 6-51,

6-53

 


28. Dec 02, Tu



Unit 17: Bending of beams: normal stress:
flexure formula

Ch. 6 (of textbook)

 

Solve

Example 6-20

(develop your own
solutions in detail)

 

6-71,

6-99,

6-101,

 

29. Dec 03, W


Unit 18, 19: Bending of beams: transverse shear;
section properties

Ch. 7 (of textbook)

Solve

Example 7.3
(develop your own
solutions in detail)

 

7-11, 7-23,

7-25, 7-33

 


30. Dec 04, Th


Unit 21: Bending of beams: deflection analysis


Ch. 12 (of textbook)


Solve
Example 12.3
(develop your own
solutions in detail)

 

12-3, 12-5,

12-15, 12-25



31. Dec 05, F

Exam 06

Open books, open notes

Covers all materials till Wednesday the week of the exam

 

 

Solutions:

to be posted on

Canvas after exam

 

 

 

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