06ME 34-Mechanics Of Materials
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PART – A |
UNIT I |
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 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.
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UNIT II |
Stress in composite section: Volumetric strain, expression for volumetric
strain, elastic constants, simple shear stress, shear strain, temperature stresses
(including compound bars).
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UNIT III |
Compound stresses: Introduction, plane stress, stresses on inclined sections,
principal stresses and maximum shear stresses, Mohr’s circle for plane stress.
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UNIT IV |
Thick and thin cylinders: Stresses in thin cylinders, changes in dimensions
of cylinder (diameter, length and volume), Thick cylinders subjected to
internal and external pressures (Lame’s equation), (compound cylinders not
included).
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PART – B |
UNIT V |
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, uniform distributed load (udl) and couple for different
types of beams.
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UNIT VI: |
Bending and shear stresses in beams: Introduction, theory of simple
bending, assumptions in simple bending, relationship between bending
stresses and 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 / fletched beams not included).
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UNIT VII |
Deflection of beams: Introduction, differential equation for deflection,
equations for deflections, slope and moments, double integration method for
cantilever and simply supported beams for point load, UDL, UVL and
Couple, Macaulay’s method.
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UNIT VIII |
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. Introduction to 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.
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REFERENCE |
TEXT BOOKS: |
1. “Mechanics of Materials” by R.C.Hibbeler, Printice Hall, Pearson
Edu., 2005
2. “Mechanics of materials”, James.M.Gere, Thomson, Fifth edition
2004.
3. “Mechanics of materials”, S.I. Units, Ferdinand Beer & Russell
Johnstan, TATA Mac GrawHill-2003.
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Reference Books |
1. “Strength of Materials”, S.S.Bhavikatti, Vikas publications House –
Pvt. Ltd., 2nd Ed., 2006.
2. “Mechanics of materials” K.V. Rao, G.C. Raju, First Edition,2007
3. “Engineering Mechanics of Solids” Egor.P. Popov, Pearson Edu.
India, 2nd, Edition, 1998.
4. “Mechanics of Solids”, Mubeen, Pearson Edu. India, 2002
5. “Strength of Materials”, W.A. Nash, Sehaum’s Outline Series, Fourth
Edition-2007.
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