JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

UNIT - I

Shear Centre: Bending axis and shear center-shear center for axi-symmetric and unsymmetrical sections. Unsymmetrical bending: Bending stresses in Beams subjected to Nonsymmetrical bending; Deflection of straight beams due to nonsymmetrical bending.

UNIT - II

Curved Beam Theory: Winkler Bach formula for circumferential stress – Limitations – Correction factors – Radial stress in curved beams – closed ring subjected to concentrated and uniform loads- stresses in chain links.

UNIT - III

Torsion: Torsion of a cylindrical bar of Circular cross section; Saint-Venant’s semi-inverse methods; Linear elastic solution; Prandtl elastic membrane ( Soap-Film) Analogy; Narrow rectangular cross section; Hallow thin wall torsion members, Multiply connected cross section, Thin wall torsion members with restrained ends Axi-Symmetric Problems: Rotating discs – Flat discs, Discs of uniform thickness, Discs of Uniform Strength, Rotating Cylinders.

UNIT - IV

Theory of Plates: Introduction; Stress resultants in a flat plate; Kinematics: Strain- Displacement relations for plates; Equilibrium equations for small displacement theory of flat plates; Stress – Strain – Temperature relation for Isotropic plates: Strain energy of a plate; Boundary conditions for plate; Solution of rectangular plate problem; Solution of circular plate problem. Beams on Elastic Foundation: General theory; Infinite Beam subjected to concentrated load; boundary conditions; Infinite beam subjected to a distributed load segment; Semi-infinite beam with concentrated load near its end; Short Beams.

UNIT - V

Contact Stresses: Introduction, problem of determining contact stresses; Assumptions on which a solution for contact stresses is based; Expressions for principal stresses; Methods of computing contact stresses; Deflection of bodies in point contact; Stresses for two bodies in contact over narrow rectangular area (Line contact), Loads normal to area; Stresses for two bodies in line contact. Normal and Tangent to contact area.

REFERENCES:

• 1. Advanced Mechanics of materials/Seely and Smith/ John Willey
• 2. Advanced Mechanics of materials / Boresi & Sidebottom/ wiley international
• 3. Advanced strength of materials / Den Hortog J.P./Torrent
• 4. Theory of Plates /Timoshenko/
• 5. Strength of materials & Theory of structures (Vol I & II) / B.C. Punmia
• 6. Strength of materials / Sadhu singh/