Mom vtu

Can you provide me the MOM or Mechanics of Materials syllabus for ME 3 Sem 2010 scheme as offered by VTU (Visvesvaraya Technological University)?

[shikha]

The MOM or Mechanics of Materials syllabus for ME 3 Sem 2010 scheme as offered by VTU (Visvesvaraya Technological University) is as follows:

Part A

Unit-1
Simple Stress and Strain
Introduction, Stress, strain, mechanical properties of materials, Linear elasticity, Hooke's Law and Poisson's ratio, Stress-Strain relation - behaviour in tension for Mild steel, cast iron and non ferrous metals. Extension / Shortening of a bar, bars with cross sections varying in steps, bars with continuously varying cross sections (circular and rectangular), Elongation due to self weight, Principle of super position.

Unit-2
Stress in Composite Section
Volumetric strain, expression for volumetric strain, elastic constants, simple shear stress, shear strain, temperature stresses (including compound bars).

Unit-3
Compound Stresses
Introduction, Plane stress, stresses on inclined sections, principal stresses and maximum shear stresses, Mohr's circle for plane stress.

Unit-4
Energy Methods Thick and Thin Cylinder
Energy Methods: Work and strain energy, Strain energy in bar/beams, Castiglinios theorem, Energy methods. Thick and Thin Cylinder Stresses in thin cylinders, changes in dimensions of cylinder (diameter, length and volume). Thick cylinders Lame’s equation (compound cylinders not included).

Part B

Unit-5
Bending Moment and Shear Force in Beams

Introduction, Types of beams, loads and reactions, shear forces and bending moments, rate of loading, sign conventions, relationship between shear force and bending moments. Shear force and bending moment diagrams for different beams subjected to concentrated loads, uniformly distributed load, (UDL) uniformly varying load (UVL) and couple for different types of beams.

Unit-6
Bending and Shear Stresses in Beams
Introduction, Theory of simple bending, assumptions in simple bending. Bending stress equation, relationship between bending stress, radius of curvature, relationship between bending moment and radius of curvature. Moment carrying capacity of a section. Shearing stresses in beams, shear stress across rectangular, circular, symmetrical I and T sections. (composite / notched beams not included).

Unit-7
Deflection of Beams
Introduction, Differential equation for deflection. Equations for deflection, slope and bending moment. Double integration method for cantilever and simply supported beams for point load, UDL, UVL and Couple. Macaulay's method

Unit-8
Torsion of Circular Shafts and Elastic Stability of Columns: Introduction. Pure torsion, assumptions, derivation of torsional equations, polar modulus, torsional rigidity / stiffness of shafts. Power transmitted by solid and hollow circular shafts Columns: Euler's theory for axially loaded elastic long columns. Derivation of Euler's load for various end conditions, limitations of Euler's theory, Rankine's formula.