Elasticity and plasticity- Types of stresses and strains- Hookes’s law- Stress-strain diagram for mild steel- Working stress- Factor of safety- Lateral strain, Poisson’s ratio and volumetric strain, Elastic moduli and the relationship between them- Bars of varying section- Composite bars- Temperature stresses, Strain energy- Resilience, Gradual, sudden, impact and shock loadings.
Types of beams- Concept of shear force and bending moment, S.F and B.M diagrams for cantilever, simply supported and overhanging beams subjected to point loads, uniformly distributed loads, uniformly varying loads and combination of these loads- Point of contra flexure- Relation between S.F, B.M and rate of loading at a section of a beam
FLEXURAL STRESSES: Theory of simple bending – Assumptions- Derivation of bending equation, Neutral axis- Determination bending stresses- section modulus of rectangular and circular sections (Solid and Hollow)- Design of simple beam sections. SHEAR STRESSES: Derivation of formula- Shear stress distribution across various beams section like rectangular, circular, triangular sections.
PRINCIPAL STRESSES AND STRAINS: Introduction-Stresses on an inclined section of a bar under axial loading-Compound Stresses-Normal and tangential stresses on an inclined plane for biaxial stresses-Two perpendicular normal stresses accompanied by a state of simple shear-Mohr’s circle of stresses- Analytical and graphical solutions. THEORIES OF FAILURE: Introduction-Various theories of failure-Maximum Principal Stress Theory, Maximum Principal Strain Theory, Strain Energy and Shear Strain Energy Theory (Von Mises Theory), Design of shafts according to theories of failure
TORSION OF CIRCULAR SHAFTS: Theory of pure torsion-Derivation of Torsion equations, Assumptions made in the theory of pure torsion- Torsional moment of resistance-Polar section modulus-Power transmitted by shafts-Combined bending and torsion and end thrust. THIN CYLINDERS Thin seamless cylindrical shells -Derivation of formula for longitudinal and circumferential stresses- Hoop. Longitudinal and volumetric strains- changes in diameter and volume of thin cylinder
Reference Book:
1.Popov E.P, “Engineering Mechanics of Solidsâ€, Prentice - Hall of India, New Delhi, 2012 2.Ryder G.H, “Strength of Materials, Macmillan India Ltdâ€. Third Edition, 2010 3.Strength of materials by S.S.Rattan, Tata McGraw Hill Education Pvt..Ltd. 4.Singh D.K “Mechanics of Solids†Pearson Education 2014 5.Ray Hulse, Keith Sherwin & Jack Cain, “Solid Mechanicsâ€, Palgrave ANE Books, 2012
Text Book:
1.R.K.Rajput, “Strength of Materialsâ€, S.Chand and Company Ltd., New Delhi 2015 2.R.S.Khurmi, “Strength of Materialsâ€, S.Chand and Company Ltd. New Delhi 2015
