CE1262 STRENGTH OF MATERIALS 3 1 0 100
(Common to Mechanical, Production, Mechatronics, Automobile and Metallurgy)
OBJECTIVES
• To gain knowledge of simple stresses, strains and deformation in components due to external loads.
• To assess stresses and deformations through mathematical models of beams, twisting bars or combinations of both.
• Effect of component dimensions and shape on stresses and deformations are to be understood.
• The study would provide knowledge for use in the
design courses
1. STRESS STRAIN AND DEFORMATION OF SOLIDS 9
Rigid and Deformable bodies – Strength, Stiffness and Stability – Stresses; Tensile, Compressive and Shear – Deformation of simple and compound bars under axial load – Thermal stress – Elastic constants – Strain energy and unit strain energy – Strain energy in uniaxial loads.
2. BEAMS - LOADS AND STRESSES 9
Types of beams: Supports and Loads – Shear force and Bending Moment in beams – Cantilever, Simply supported and Overhanging beams – Stresses in beams – Theory of simple bending – Stress variation along the length and in the beam section – Effect of shape of beam section on stress induced – Shear stresses in beams – Shear flow
3. TORSION 9
Analysis of torsion of circular bars – Shear stress distribution – Bars of Solid and hollow circular section – Stepped shaft – Twist and torsion stiffness – Compound shafts – Fixed and simply supported shafts – Application to close-coiled helical springs – Maximum shear stress in spring section including Wahl Factor – Deflection of helical coil springs under axial loads – Design of helical coil springs – stresses in helical coil springs under torsion loads
4. BEAM DEFLECTION 9
Elastic curve of Neutral axis of the beam under normal loads – Evaluation of beam deflection and slope: Double integration method, Macaulay Method, and Moment-area Method –Columns – End conditions – Equivalent length of a column – Euler equation – Slenderness ratio – Rankine formula for columns
5. ANALYSIS OF STRESSES IN TWO DIMENSIONS 9
Biaxial state of stresses – Thin cylindrical and spherical shells – Deformation in thin cylindrical and spherical shells – Biaxial stresses at a point – Stresses on inclined plane – Principal planes and stresses – Mohr’s circle for biaxial stresses – Maximum shear stress - Strain energy in bending and torsion.
TUTORIALS 15
TOTAL : 60
TEXT BOOKS
1. Popov E.P, “Engineering Mechanics of Solids”, Prentice-Hall of India, New Delhi, 1997
2. Beer F. P. and Johnston R,” Mechanics of Materials”, McGraw-Hill Book Co, Third Edition, 2002.
REFERENCES
1. Nash W.A, “Theory and problems in Strength of Materials”, Schaum Outline Series, McGraw-Hill Book Co, New York, 1995
2. Kazimi S.M.A, “Solid Mechanics”, Tata McGraw-Hill Publishing Co., New Delhi, 1981.
3. Ryder G.H, “Strength of Materials, Macmillan India Ltd”., Third Edition, 2002
4 Ray Hulse, Keith Sherwin & Jack Cain, “Solid Mechanics”, Palgrave ANE Books, 2004.
5. Singh D.K “Mechanics of Solids” Pearson Education 2002.
6. Timoshenko S.P, “Elements of Strength of Materials”, Tata McGraw-Hill, New Delhi, 1997.
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