COURSE SUMMARY
Course Title:
Advanced Mechanics of Materials
Course Code:
15CVL431
Year Taught:
2015
2016
2017
2018
Degree:
Undergraduate (UG)
School:
School of Engineering
Campus:
Chennai
Coimbatore

'Advanced Mechanics of Materials' is a course offered in B. Tech. in Civil Engineering program at School of Engineering, Amrita Vishwa Vidyapeetham.

#### SYLLABUS

Unit 1

Stress at a point – stress on an arbitrarily oriented plane - stress transformations - strain theory – principal stresses & strains (2D& 3D) - Generalized Hooke’s law - Equations of thermo-elasticity for isotropic materials - strain energy density - stress concentration.

Failure & Failure criteria: Modes of failure – yield failure criteria - introduction to fracture mechanics - cracks & brittle fracture – fatigue - elastic and inelastic buckling.

Unit 2

Beams on elastic foundation: Basic equations - Winkler foundations - semi-infinite beams with concentrated loads – infinite beams with concentrated loads - uniformly distributed load - beams of finite length.

Curved Beams: Circumferential stresses - radial stress and shear stress in curved beams - sections having thinflanges - closed sections with thin walls - deflections of sharply curved beams.

Unit 3

Displacements - strains and compatibility - equilibrium equations and boundary conditions – stressfield solutions for plane stress problems - polynomial solutions in Cartesian coordinates – displacements calculated from stresses - plane stress problems in polar coordinates.

#### TEXTBOOKS/REFERENCES

TEXTBOOK

• A. P. Boresi and O. M. Sidebottom, “Advanced Mechanics of Materials”, Wiley, 2009.
• Budynas, R. G., “Advanced Strength and Applied Stress Analysis”, Tata McGraw Hill, 2011.

REFERENCE BOOKS

• Timoshenko S. P and Goodier J. N, “Theory of Elasticity”, Tata McGraw Hill, 2010.
• Srinath L. S, “Advanced Mechanics of Solids”, Tata McGraw Hill, 2008.
• S P Timoshenko,“Strength of Materials - Part 2” CBS Publishers & Distributors; Third edition, 1956.
• R. D. Cook and W. C. Young, “Advanced Mechanics of Materials”, Prentice Hall, 1999.