206 MECHANICS OF SOLIDS-I
FIRST TERM:
1.Introduction and fundamental concepts: Introduction-purpose and scope of the subject, generalized procedure, basic assumption, types of forces (External and Internal forces), method of sections, constitutive laws, Elastic material, Principle of Super position, St. Venant’s Principle Tensile test, generalized Hook’s law for isotropic and linear elastic material. 5 Lectures
2. Simple stress and stain: 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 Lectures
3. Shearing Force and Bending Moment: Use of singularity functions in drawing B.M.D and S.F.D. 6
Lectures
4. Stress due to bending: Pure bending of beams, normal stress and shear stress distribution in a beam subjected to both B.M.D. and S.F.D. 6 Lectures
SECOND TERM:
1.Deflection due to bending: Double integration method, moment area method. 4 Lectures
2.Torsion: Torsion of solid and hollow circular shaft, Torsion of a hollow thin walled shaft, closed coiled helical spring Flanged couple. 5 Lectures
3.Two-dimensional stress analysis: Plane stress components on a general plane at a point, Mohr’s circle of stress. 6 Lectures
4.Cases of combined loading: Bending with tension (or compression) Eccentrically loaded member, core of section, torsion and shear, torsion and bending cases of transmission shafts subjected to bending tension or axial thrust. 6 Lectures
5.Elastic strain energy and its application: Elastic strain energy of a rod under various kinds of loading-Elastic strain, energy for various states of stress, simple applications, Castiglians Theorem. 4 Lectures
LABORATORY WORK:
Minimum eight experiments bases on the theory covered under the subject.
BOOK RECOMMENDED:
1.Mechanics of Solids – Kazmi
2.Mechanics of Solids – Singh and Jha
3.Mechanics of Solids – Ryder
REFERENCES:
1.Mechanics of Solids – Timoshinko and Gere
2.Introduction to Mechanics of Solids – Grandall and Dahl
3.Mechanics of Solids – Popov
