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Course Detail

Course Name Advanced Solid Mechanics
Course Code 25DT632
Program M.Tech. in Defence Technology
Semester 1
Credits 3
Campus Coimbatore

Syllabus

Course Content
Unit Contents Contact Hrs.
1. Analysis of Stresses and Strains in rectangular and polar coordinates: Cauchy’s formula, Principal stresses and principal strains, Stress-strain relationship for isotropic, orthotropic and anisotropic materials- 3D Mohr’s Circle, Octahedral Stresses, Hydrostatic and deviatoric stress. 8
2. Euler – Bernoulli and Timoshenko beam theories, bi-directional bending ,Unsymmetrical Bending, Bending of curved Beams, 8
3. Torsion of solid circular bar, Torsion of non-circular shafts, Prandtl stress function, St. Venant warping function, Shear Center- torsion in narrow rectangular section – Theories of Failures 8
4. Elastic stability – Euler’s buckling load, beam column, eigenvalue problem 8
5. General symmetric sections, and thin-walled sections, flexural shear flows (FSF), FSF in thin-walled open sections, shear center in open sections. 7
6. Torsional shear flows (TSF) in thin-walled open sections, TSF in thin-walled closed sections (single and multiple cells) and warping in open and closed thin-walled sections, 6
Total 45

Objectives and Outcomes

Course Objectives:

To study and analyse the behaviour of various defence structural members under different load conditions.

Course Outcomes:

At the end of the course the student should be able to

  • Understand the concepts of stress and strain at a point as well as the stress-strain relationships for different materials.
  • Determine and illustrate principal stresses, maximum shearing stress, and the stresses acting on a structural member.
  • Calculate the stresses and strains associated with thin-walled structures subjected to various loads.
  • Understand the concept of elastic buckling.

Text Books / References

References / Suggested Books:

  1. “Advanced Mechanics of Materials” A.P. Boresi, R.J. Schmidt, John Wiley & Sons, Inc., 6th Edition, ISBN: 0471438812.
  2. “Mechanics of Aircraft structures”, C. T. Sun, 3rd Edition, John Wiley & sons, New York, 2021.
  3. “Strength of Materials” Timoshenko S., 3Ed., Part 1and 2 Advanced Theory and Problems, 2002.
  4. “Advanced mechanics of solids “ L. S. Srinath, 3rd Edition, McGraw-Hill, 2009.

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