JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Pre-Requisites

Theory of Structures

Course Objectives:

• Understand the theory of elasticity including stress strain/displacement and Hooke‘s law relationships.
• Analyze solid mechanics problems using classical methods and energy methods.
• Solve for stresses and deflections of beams under unsymmetrical loading and axisymmetric loading.
• Locate the shear center of thin wall beams and obtain stresses and deflections of beams on elastic foundations.

Course Outcomes

To Learn:

• Fracture mechanism
• Technique to solve complex structure

UNIT - I

Traction and Stresses: Concept of traction, Cauchy‘s stress theorem, postulate of Cauchy stress tensor, traction on arbitrary planes, extreme normal and shear traction, octahedral shear stress, and other stress measure – engineering stress.

UNIT - II

Axisymmetric Analysis: Introduction, thick walled cylinder subjected to internal and external pressures – lame‘s problem. Stress in composite tubes- shrink fits, sphere with purely radial displacements, stresses due to gravitation, rotating disks of uniform thickness, disks of variable thickness, rotating shafts and cylinders.

UNIT - III

Bending of Curved Beams: Winkler- Bach formula, elasticity solution for: pure bending of curved beams, curved cantilever under end loading. Beams on elastic foundation, Derivation of the basic governing equation, solution to beam on an elastic foundation subjected to a point load at the center moment at the center, Udl over some length asymmetrically about the center

UNIT - IV

Fracture Mechanics Classes: Brittle fracture, stress intensity factor, fracture toughness, fracture conditions, fracture modes, plane stress and plane strain, plastic collapse at a notch, experimental determination of KIC, strain-energy release rate, elasto-plastic fracture mechanics, Green‘s theorem.

UNIT - V

Theories of Failure: Introduction, theories of failure, significance of the theories of failure, use of factor of safety in design, a note on the use of factor of safety, Mohr‘s theory of failure.

TEXT BOOKS:

• 1. L. S. Srinath, ―Advanced Mechanics of Solidsǁ, Tata McGraw-Hill, New Delhi, 2009.
• 2. P. Raymond, ―Solid Mechanics in Engineeringǁ, Willey, 2001.

REFERENCE BOOKS:

• 1. M.H. Sadd, ―Elasticity: Theory, Applications, and Numerics ǁ, Academic Press, 2nd Edition, 2009. R18 B.TECH AERONAUTICAL ENGG. III YEAR
• 2. R.G. Budynas, ―Advanced Strength and Applied Stress Analysisǁ, McGraw Hill, 3rd Edition, 1999.
• 3. A.P. Boresi, R.J. Schmidt, ―Advanced Mechanics of Materialsǁ, John Willey & Sons, 6th Edition, 2003. R18 B.TECH AERONAUTICAL ENGG. III YEAR