JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

UNIT - I

Elasticity: Two-dimensional stress analysis - Plane stress - Plane strain - Equations of compatibility - Stress function - Boundary conditions. Problem in Rectangular Coordinates - Solution by polynomials - Saint Venent's principles - Determination of displacement - Simple beam problems. Problems in Polar Coordinates - General equations in polar coordinates - Stress distribution symmetrical about axis - Strain components in polar coordinates - Simple and symmetric problems.

UNIT - II

Analysis of Stress and Strain in Three Dimensions: Principle stresses - Homogeneous deformations - Strain spherical and deviatoric stress - Hydrostatic strain. General theorems: Differential equations of equilibrium and compatibility - Displacement - Uniqueness of solution - Reciprocal theorem.

UNIT - III

Bending of Prismatic Bars: Stress function - Bending of cantilever beam - Beam of rectangular cross-section - Beams of circular cross-section.

UNIT - IV

Plasticity: Plastic deformation of metals - Structure of metals - Deformation - Creep stress relaxation of deformation - Strain rate condition of constant maximum shear stress - Condition of constant strain energy - Approximate equation of plasticity.

UNIT - V

Methods of Solving Practical Problems: The characteristic method - Engineering method - Compression of metal under press - Theoretical and experimental data drawing.

REFERENCES:

• 1. Theory of Elasticity/Timoshenko S.P. and Goodier J.N./Koakusha Publishers
• 2. An Engineering Theory of Plasticity/E.P. Unksov/Butterworths
• 3. Applied Elasticity/W.T. Wang/TMH
• 4. Theory of Plasticity for Engineers/Hoffman and Sacks/TMH
• 5. Theory of Elasticity and Plasticity/Sadhu Singh/ Khanna Publishers
• 6. Theory of Elasticity and Plasticity/Harold Malcolm Westergaard/Harvard University Press R19 M.Tech. Design & Mfg./Design for Mfg. M. TECH. I Year I Sem. (DESIGN FOR MANUFACTURING/ DESIGN AND MANUFACTURING)