Sathyabama LMS

SMEB1303	STRENGTH OF MATERIALS	L	T	P	Credits	Max.Marks 100
		3	*	0	3

OBJECTIVE:

• 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 constants - 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 plane. Biaxial 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 andOverhanging 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.

Max.45Hours

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: Construct 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 (P) Ltd.,Fifth 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”., Third 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, 820 pages.

END SEMESTER EXAMINATION QUESTION PAPER PATTERN

Max. Marks : 100                Exam Duration : 3 Hrs.

PART A : 2 Questions from each unit, each carrying 2 marks              20 Marks

PART B : 2 Questions from each unit with internal choice, each carrying 16 marks   80 Marks