SYLLABUS FOR SEMESTER - IV (SM)

09CM401                       SOLID MECHANICS                      

                           (Common to Mechanical and Metallurgical Engineering)            

OBJECTIVE:                                                                              

·         To impart Knowledge on simple stresses, strains and deformation in components due to external loads.

·         To assess stresses and deformations of beams and twisted bars.

1. STRESS, STRAIN AND DEFORMATION OF SOLIDS                                        

Rigid and deformable bodies-Stability, strength and stiffness-Tensile, compressive and shear stresses, strain-Poisson’s ratio-lateral strain-Deformation of simple compound bars-Relation between elastic constants-Thermal stresses. Strain Energy in uniaxial loads-gradually applied load, suddenly applied load and impact load.

2. TRANSVERSE LOADING ON BEAMS AND STRESSES IN BEAMS                    

Beams-types and transverse loading on beams-shear force and bending moment in beams-cantilevers, simply supported and over hanging beams-Point of contra flexure. Theory of simple bending-analysis of stress-load carrying capacity. Shear stress distribution of simple beams-circular, rectangular, “I” section, “T” section and channel sections.

3. DEFLECTION OF BEAMS AND COLUMNS                                                                 

Elastic curve of neutral axis of the beam under normal loads-Evaluation of beam deflection and slope: Double integration method-Macaulay’s method-Moment area method.Columns: End conditions-Equivalent length of a column-Euler’s equation-Slenderness ratio-Rankine’s formula for columns.

4. ANALYSIS OF STATE OF STRESS (TWO DIMENSIONAL)                               

Biaxial state of stress-Thin cylinders and shells-Deformation in thin cylinders and spherical shells-Biaxial stresses at a point -Stresses on inclined planes-Principal planes and stresses-Mohr’s circle for biaxial stress. Maximum shear stress.

5. TORSION                                                                                                        

Torsion of circular shaft-Shear stress distribution-Hollow and solid circular section, torsional rigidity-stepped shaft-Twist and torsional stiffness- Torsion on springs-Wahl’s factor of spring-Stresses in helical springs under torsion loads-Stiffness and deflection of springs under axial load.

    

TEXT BOOKS

1. Vaidyanathan, R, Perumal, P and Lingeswari, S, “Mechanics of Solids and Structure-volume-I”, Scitech Publications India (P) Ltd, Chennai.
2. Rajput, R.K, “Strength of Materials”, S.Chand and Co, 3^rd Edition, 2003.  
3. Timoshenko S.P, “Elements of Strength of Materials”, Tata McGraw-Hill, New Delhi, 2002.
4.  Beer F.P and Johnston R, “Mechanics of Materials”, McGraw Hill book Co, 3^rd Edition, 1997.

REFERENCES

1. James M Gere, “Mechanics of Materials”, Brooks/Cole Thomson Learning, 5^th Edition, 2001.
2. Popov.E.P, “Engineering Mechanics of Solids”, Prentice –Hall of India, New Delhi, 1990.