APL108 Mechanics of Solids

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Course info

Credit: 3 Units (3-1-2).

Instructor: Dr. Md Rushdie Ibne Islam, Email: rushdie@am.iitd.ac.in, Office: 4B-19 (Block IV, top floor).

Class timings:

• Lecture: Tuesday, Thursday and Friday; 11 AM – 11:50 AM; LH 410
• Tutorial: Monday, and Wednesday; 1 PM – 2 PM; LH 410
• Practical: Monday, Tuesday, Thursday and Friday; 2.30 PM - 5 PM; SOM Lab

TAs: Tushar, Saurabh Singh, Prakalp, Navneeth, Aquib, Chandrakesh, Harshwardhan Soni, Aswathy, Jerome, Subhanu, Bholender Singh, Vishabjeet, Neha, Digesh, Ishwar and Harshul Malik.

Office hours: Either stop by instructor's office (for quick discussion) or take an email appointment (for longer discussion).

Important note: Please include APL108 (without space) in the subject line for all email communications related to this course.

Syllabus

• Part I: Fundamentals of Stress and Strain
  • Introduction and mathematical preliminaries.
  • Analysis of stress:
    • Traction vector.
    • Types of stress.
    • Stress tensor.
  • Linear and angular momentum balance; equilibrium equations.
  • Principal stresses and Mohr's circle.
• Part II: Strain and Constitutive Relations
  • Analysis of strain:
    • Types of strain.
    • Strain tensor.
    • Rotation tensor.
    • Compatibility conditions.
  • Stress-strain relations (Hooke's Law).
  • Elastic constants.
  • Failure theories.
  • Stress, strain, and equilibrium equations in cylindrical coordinates.
• Part III: Applications in Solid Mechanics
  • Energy methods in elasticity.
  • Bending of beams:
    • Symmetrical beams.
    • Unsymmetrical beams.
    • Shear centre.
  • Torsion of shafts and bars.
  • Buckling of columns.
  • Additional topics (depending on time).

List of Experiments

• S1: Hardness Testing (Brinell & Rockwell)
• S2: Strain Gauge (Tensile & Bending)
• S3: Uniaxial Tension
• S4: Uniaxial Compression
• S5: Torsion
• S6: Impact (Izod)
• S7: Impact (Charpy)
• S8: Buckling

References

• Primary
  • Srinath, L.S. Advanced Mechanics of Solids.
• Additional
  • Crandall, S.H., Dahl, N.C., Lardner, T.J. and Sivakumar, M.S. An Introduction to Mechanics of Solids.
  • Sadd, M. Elasticity: Theory, Applications and Numerics.
  • Kumar A. Solid Mechanics for Undergraduates

Grading

• Quiz: 20% (10% x 2)
• Minor: 25%
• Major: 35%
• Practical: 20%

If a student decides to audit the course, the passing grade will be 40%. Additionally, the student must write minor and major exams, and the attendance must be greater than or equal to 75% in lectures and tutorials separately.

Quizzes, minor and major

• Two quizzes will be conducted; one (quiz #1) before and another (quiz #2) after the minor exam. Exact date, time and place will be notified later.
• Minor and major exams will be scheduled based on the institute timetable.

Homework

• Homework will be assigned almost every week. These will not be graded. Hence, submission is not necessary.
• A subset of problems from homework will be discussed/solved during tutorial sessions and solutions of the remaining problems will be provided.
• Students are strongly encouraged to try the homework problems before coming to the tutorial sessions.

Attendance

• Students are strongly encouraged to attend all the lectures sessions. Attendance will be recorded for each lecture session. If a student's attendance is less than 75%, the student will be awarded one grade less than the actual grade that he/she has earned. For example, a student who has got an A grade but has attendance less than 75% will be awarded an A (-) grade. However, please note that there are no marks for attendance.
• In case of absence due to unforeseen circumstances, such as medical reasons, the student must inform the instructor via email within a week from the date of absence.
• If a student cannot appear for an exam due to medical reasons, a medical certificate needs to be produced from IIT Delhi hospital for consideration of time extension or re-exam.