ABOUT THE COURSE: This first course in mechanics of deformable bodies introduces the four concepts - Force, stress, strain, displacement - and the four equations that connect them, namely equilibrium equations, constitutive relation, compatibility condition and strain displacement relation.Systematic procedure to solve problems of engineering interest is outlined. In particular, force and displacement relation of structural elements subjected to uniaxial stress, bending, twisting and inflation is studied. Estimation of possible modes of failure of these structural elements and the failure load is outlined.
Saravanan U is an associate professor in the department of civil engineering at IIT Madras. He regularly teaches this mechanics of materials course to undergraduate students in their third semester. He has authored a NPTEL web course on advanced solid mechanics. He is passionate about students learning solid mechanics in the correct way. The instructor’s research interest is in mechanics of deformable solids in which he has published more than 30 international peer reviewed journal articles.
COURSE LAYOUT:
Week 1: Mathematical Preliminaries Week 2: Concept of Force, Displacement and stress Week 3: Transformation of stress and equilibrium equation Week 4: Concept of strain Week 5: Constitutive relation, strain energy and potential Week 6: Displacement due to uniaxial loading, temperature and bending Week 7: Stresses and deflection in homogeneous beams loaded about one principal axis Week 8: Stresses and deflection in beams loaded about principal axis Week 9: Stresses and deflection in beams not loaded about principal axis Weel 10: Stresses and displacement due to torsion Week 11: Thick and thin walled pressure vessels Week 12: Failure modes
REFERENCE:
1. Gere, J. M., Goodno, B. J., Mechanics of materials, Cengage Learning, 2012. 2. Popov E.P. Engineering mechanics of solids, Prentice Hall of India Private Limited, 2004. 3. Beer F.P., Johnson E.R., and DeWolf, J.T. Mechanics of materials, Tata McGraw-Hill, 2004. 4. http://solidmechanics.org/contents.htm - Free web book on Applied Mechanics of Solids by A.F. Bower
CERTIFICATION EXAM:
The exam is optional for a fee.
Date and Time of Exams: April 28 (Saturday) and April 29 (Sunday) : Afternoon session: 2pm to 5pm
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published.
CERTIFICATE:
Final score will be calculated as : 25% assignment score + 75% final exam score
25% assignment score is calculated as 25% of average of 12 weeks course: Best 8 out of 12 assignments
E-Certificate will be given to those who register and write the exam and score greater than or equal to 40% final score. Certificate will have your name, photograph and the score in the final exam with the breakup. It will have the logos of NPTEL and Indian Institute of Technology, Madras. It will be e-verifiable at nptel.ac.in/noc.
