ED7101 ADVANCED MECHANICS OF MATERIALS

ED7101 ADVANCED MECHANICS OF MATERIALS

UNIT I ELASTICITY

Stress-Strain relations and general equations of elasticity in Cartesian, Polar and curvilinear coordinates, differential equations of equilibrium-compatibility-boundary conditions-representation of three-dimensional stress of a tension generalized hook's law - St. Venant's principle - plane stress - Airy's stress function. Energy methods. 

UNIT II SHEAR CENTER AND UNSYMMETRICAL BENDING

 Location of shear center for various thin sections - shear flows. Stresses and Deflections in beams subjected to unsymmetrical loading-kern of a section. 

UNIT III STRESSES IN FLAT PLATES AND CURVED MEMBERS

Circumference and radial stresses – deflections - curved beam with restrained ends - closed ring subjected to concentrated load and uniform load - chain links and crane hooks. Solution of rectangular plates – pure bending of plates – deflection – uniformly distributed load – various end conditions 

UNIT IV TORSION OF NON-CIRCULAR SECTIONS 

 Torsion of rectangular cross section - St.Venants theory - elastic membrane analogy - Prandtl's stress function - torsional stress in hollow thin walled tubes. 

UNIT V STRESSES IN ROTATING MEMBERS AND CONTACT STRESSES

Radial and tangential stresses in solid disc and ring of uniform thickness and varying thickness allowable speeds. Methods of computing contact stress- deflection of bodies in point and line contact applications.

REFERENCES

1. Arthur P Boresi, Richard J. Schmidt, “Advanced mechanics of materials”,John Wiley, 2002.

2. Timoshenko and Goodier, "Theory of Elasticity", McGraw Hill.

3. Robert D. Cook, Warren C. Young, "Advanced Mechanics of Materials", Mc-millan pub. Co., 1985.

4. Srinath. L.S., “Advanced Mechanics of solids”, Tata McGraw Hill, 1992.

5. G H Ryder Strength of Materials Macmillan, India Ltd, 2007.

6. Allan F. Bower, “Applied Mechanics of Solids”, CRC press – Special Indian Edition -2012, 2010

7. K. Baskar and T.K. Varadan, “Theory of Isotropic/Orthotropic Elasticity”, Ane Books Pvt. Ltd., New Delhi, 2009