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203. Mechanics of Solids I
FIRST TERM:
1. Introduction and fundarnental concepts:
Introduction-purpose and scope of the subject.
Generalised procedure, Basic assumption,
Types of forces (External and Internal forces),
Method of sections, consitutive laws,
Elastic material principle of superposition,
St. Venant's principle Tensile test,
Generalised Hook's law for isotropic and linear elastic material. -5 Lects.
2. Simple stress and strain:
Uniaxial tension or compression of a bar (prismatic and non-prismatic),
Cases of simple shear, shear strain components in terms of shear stress.
Bi-Axial and tri-axial tension or compression Thermal stress and strain.
Statically determinate system of bars. in tension (or compression),
Thin walled pressure vessels. Cylindrical and spherical shells. -8 Lects.
3. Shearing force and Bending moment:
Shear force, Bending Moment, Relation between Loading,
S.F. & B.M. S.F.D.& B.M.D. -6 Lects.
4. Stress due to bending:
Pure bending of beams,
Normal stress and shear stress distribution in a beam
subjected to both B.M. and S.F. -6 Lects.
SECOND TERM:
1. Deflection due to bending:
Double integration method.
Moment area method for simply supported & cantiever beams. -4 lects
2. Torsion:
Torsion of a solid and hollow circular shaft.
Closed coiled helical spring, Flanged coupling. -5 Lects.
3. Two-dimensional stress analysis:
Plane Stress, stress components on a general plane at a point,
Mohrs circle of stress. -6 Lects.
4. Cases of Cornbi ned load:
Bending with tension (or compression.)
Eccentrically loaded member, Core of section, Torsion and bending.
Cases of Transmission shafts subjected to bending,
tension or axial thrust. -6 Lects.
5. Elastic Strain Energy and Its application:
Elastic Strain energy of a rod under various kinds of loading
Simple application of Castiglions Theorem. -4 Lects.
LABORATORY WORK:
Minimum eight experiments based on the theory covered under the subject.
Texts / References
Text Book:
1. Strenght of Materials - F.L. Singer & A. Pytel
2. Mechanics of solids - Singh and Jha
3. Mechanics of Solids. - Popov
References:
1. Mechanics of Solids - Timoshinko and Gere
2. Introduction to Mechanics of Solids- Grandall and Dahi
3. Mechanics of Solids - Kazimi
4. Strength of Material -B.C.Purinia, Ashok Jam & Arun Jam.
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