ED4151 Advanced Mechanics of Materials Syllabus:

ED4151 Advanced Mechanics of Materials Syllabus – Anna University PG Syllabus Regulation 2021

COURSE OBJECTIVES

1. To learn the concepts of theory of elasticity in three-dimensional stress system.
2. To study the shear centre of various cross-sections and deflections in beams subjected to unsymmetrical bending.
3. To learn the stresses in flat plates and curved members.
4. To study torsional stress of non-circular sections.
5. To learn the stresses in rotating members, contact stresses in point and line contact applications.

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 – planestress – Airy’s stress function. Energy methods.

UNIT-II SHEAR CENTRE AND UNSYMMETRICAL BENDING

Location of shear centre 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.

COURSE OUTCOMES:

On Completion of the course the student will be able to
CO1 Apply the concepts of theory of elasticity in three-dimensional stress system.
CO2 Determine the shear centre of various cross-sections and deflections in beams subjected to unsymmetrical bending.
CO3 Evaluate the stresses in flat plates and curved members.
CO4 Calculate torsional stress of non-circular sections.
CO5 Determine the stresses in rotating members, contact stresses in point and line contact applications.

REFERENCES:

1. Arthur P Boresi, Richard J.Schmidt, “Advanced Mechanics of Materials”, Wiley India Pvt.Ltd., 2009.
2. Hibbeler. R.C., “Mechanics of Materials”, Prentice-Hall, 2018.
3. Robert D.Cook, Warren C.Young, “Advanced Mechanics of Materials”, Prentice Hall, 1999.
4. Srinath. L.S., “Advanced Mechanics of Solids”, Tata McGraw Hill, 2009.
5. Timoshenko and Goodier, “Theory of Elasticity”, Tata McGraw Hill, 2010.