**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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