COURSE OBJECTIVES

 To study the aspects of Strength, Stiffness and Stability.

 To gain knowledge of different types of stresses, strain and deformation induced in the components due to external loads.

 To study the distribution of various stresses in the elements such as beams, shafts etc.

 To study the effect of component dimensions and shapes on the stresses and deformations.

UNIT 1 STRESS STRAIN DEFORMATION OF SOLIDS 9 Hrs. 

Rigid and Deformable bodies – Strength, Stiffness and Stability – Stresses; Tensile, Compressive and Shear – Deformation of simple and compound bars under axial load – Thermal stresses and strains. Elastic constants – Relation between Elastic constans- Strain energy and unit strain energy – Strain energy in uniaxial loads.

UNIT 2 ANALYSIS OF STRESSES IN TWO DIMENSIONS 9 Hrs.

Principal planes and stresses – Mohr’s circle for biaxial stresses – Maximum shear stress - simple problems- Stresses on inclined planeBiaxial state of stresses – Thin cylindrical and spherical shells – Deformation in thin cylindrical and spherical shells – Efficiency of joint- Effect of Internal Pressure.

UNIT 3 BEAMS - LOADS AND STRESSES 9 Hrs.

Types of beams - Supports and Loads – Shear force and Bending Moment in beams – Cantilever, Simply supported and Overhanging beams – SFD and BMD for inclined loads and couples.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.

UNIT 4 TORSION 9 Hrs.

Analysis of torsion of circular bars – Shear stress distribution – Bars of Solid and hollow circular section – Stepped shaft – Twist and torsion stiffness – Composite shafts Springs - Laminated springs, axial load and twisting moment acting simultaneously both for open and closed coiled springs– Deflection of helical coil springs under axial loads – stresses in helical coil springs under torsion. 

UNIT 5 BEAM DEFLECTION 9 Hrs. 

Columns – End conditions – Equivalent length of a column – Euler equation – Slenderness ratio – Rankine Gordon formula for columns. 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.

COURSE OUTCOMES

On completion of the course, student will be able to

CO1 - Understand the fundamentals of Stress and Elastic Constants.

CO2 - Understand the concept of Principal stresses and thin shells.

CO3 - Create Shear force & Bending moment diagram and Bending stress.

CO4 - Apply the Concept of Torsion for Circular Shafts and Understand the concept of Springs.

CO5 - Understand the theory of Column and Beam deflection.

CO6 - Analyze overall deflection aspects related to Strength, Stiffness and Stability.

TEXT / REFERENCE BOOKS 

1. Bansal R.K., "Strength of Materials", Laxmi Publications Pvt. Ltd., 5th Edition, 2012. 

2. Punmia B.C. & Jain A.K., Mechanics of Materials, Laxmi Publications, 2001. 

3. Ryder G.H., "Strength of Materials", Macmillan India Ltd., 3rd Edition, 2002. 

4. Ray Hulse, Keith Sherwin & Jack Cain, "Solid Mechanics", Palgrave ANE Books, 2004. 5. Allan F. Bower, "Applied Mechanics of Solids", CRC Press, 2009.