ME 1303: MECHANICS OF SOLIDS

Syllabus

Module I
Tension, Compression, and Shear: Normal stress and strain, stress-strain diagrams, elasticity and plasticity, linear elasticity and Hooke’s law, shear stress and strain, allowable stresses Axially loaded members: Deflections of axially loaded members, statically indeterminate structures, temperature and pre-strain effects, strain energy Analysis of stress and strain: Plane stress, plane strain, principal stresses and maximum shear stresses, Mohr’s circle for plane stress, spherical & cylindrical pressure vessels.

Module II
Torsion : Torsion of circular bars, pure shear, relation between modulus of elasticity and modulus of rigidity, power transmission, strain energy in torsion Shear force and Bending moment: Types of beams, shear force and bending moment, relation ship among load, shear force, and bending moment, shear force and bending moment diagrams.

Module III
Stresses in beams: Normal strains in beams, normal stresses in beams, cross sectional shapes of beams, shear stresses in beams, beams with axial loads, Combined axial, bending, and torsional loads. Theories of failure: Various theories of failure and their applications to ductile and brittle materials.

Module IV
Deflections of beams: Differential equations of the deflection curve, deflections by integration, Macaulay’s method, moment area method, deflections of non prismatic beams, deflections of statically indeterminate beams propped cantilevers and fixed beams
Columns: Buckling and stability, Euler’s equations for columns with different support conditions.

References:

1) Gere & Timoshenko: Mechanics of Materials, CBS Publishers
2) E.P.Popov : Introduction to mechanics of solids, Pearson Education
3) Beer & Johnston: Mechanics of Solids, Mc Graw Hill
4) Shames & Pittaresi: Introduction to Solid Mechanics ,PHI
5) Mott : Applied strength of materials, PHI
6) Carl. T.F Roses, Strength of Materials & Structures, Elsevier

Type of Questions for University Exam

Q 1.Eight short answer questions of 5 marks with two questions from each of the four modules. (8x5 = 40 marks)
Q 2. to Q.5 : Two questions A & B of 15 marks from each modules with option to answer either A or B. (4x15 = 60